Question 1archived
Select the related word/letters/number from the given alternatives.
Cell : Cytology :: Birds : ?
- A
Odontology
- B
Mycology
- C
Ornithology
- D
Etymology
Show answer
C. Ornithology‘Cytology’ is the study of ‘Cells’. Similarly, the study of ‘Birds’ is called ‘Ornithology’.
Hence, the correct answer is Ornithology.
Paper & answer key PDF ↗ Question 2archived
Select the related word/letters/number from the given alternatives.
DHLP : WSOK :: FJNR : ?
- A
UQMI
- B
TPLH
- C
SOKG
- D
VRNJ
Show answer
A. UQMIThe actual pattern is that each letter in DHLP maps to its complement in the alphabet (positions sum to 27): D(4)+W(23)=27, H(8)+S(19)=27, L(12)+O(15)=27, P(16)+K(11)=27. Applying the same: F(6)→U(21), J(10)→Q(17), N(14)→M(13), R(18)→I(9). Hence UQMI.
Paper & answer key PDF ↗ Question 3archived
Select the related word/letters/number from the given alternatives.
2 : 10 :: 26 : ?
- A
50
- B
36
- C
42
- D
20
Show answer
A. 50The underlying pattern is n²+1 for odd n: 1²+1=2, 3²+1=10, 5²+1=26, 7²+1=50. So 26 corresponds to n=5 in the sequence, and the paired term is 7²+1=50. Hence the answer is 50.
Paper & answer key PDF ↗ Question 4archived
Find the odd word/letters/number pair from the given alternatives.
- A
EHJ
- B
JML
- C
PSR
- D
VYX
Show answer
A. EHJIn JML, PSR, and VYX the pattern is: 1st letter +3 = 2nd letter, 2nd letter -1 = 3rd letter (e.g., J+3=M, M-1=L; P+3=S, S-1=R; V+3=Y, Y-1=X). In EHJ: E+3=H but H+2=J (not -1), so EHJ breaks the pattern. Hence EHJ is the odd one out.
Paper & answer key PDF ↗ Question 5archived
Find the odd word/letters/number pair from the given alternatives.
- A
Tomcat
- B
Baby
- C
Fawn
- D
Cub
Show answer
B. BabyFawn (baby deer) and Cub (baby bear/lion/etc.) are species-specific names for young animals. Tomcat is an adult male cat — not an offspring. Baby is a generic, non-species-specific term. The three non-generic animal terms are Tomcat, Fawn, and Cub; Baby stands out as the only word not specific to a particular animal category. Hence Baby is the odd one out.
Paper & answer key PDF ↗ Question 6archived
Find the odd word/letters/number pair from the given alternatives.
- A
11
- B
17
- C
19
- D
21
Show answer
D. 2111, 17, and 19 are all prime numbers. 21 is not a prime (divisible by 3 and 7).
Hence, the odd one out is 21.
Paper & answer key PDF ↗ Question 7archived
Arrange the following words as per order in the dictionary:
1. Patriot 2. Pastor 3. Patron 4. Pattern 5. Pastern
- A
5,2,3,1,4
- B
5,2,1,3,4
- C
5,2,4,1,3
- D
5,2,4,3,1
Show answer
B. 5,2,1,3,4Arrange in dictionary order:
Pastern → Pastor → Patriot → Patron → Pattern
So the correct order is: 5, 2, 1, 3, 4
Paper & answer key PDF ↗ Question 8archived
A series is given below with one term missing. Choose the correct alternative that will complete the series:
SCD, TEF, UGH, ?, WKL
- A
CMN
- B
VJI
- C
VIJ
- D
IJT
Show answer
C. VIJPattern of each letter in the series:
First letters: S (19), T (20), U (21), ? (22=V), W (23)
Second: C (3), E (5), G (7), ? (I=9), K (11)
Third: D (4), F (6), H (8), ? (J=10), L (12)
So the missing term is VIJ.
Paper & answer key PDF ↗ Question 9archived
A series is given below with one term missing. Choose the correct alternative that will complete the series:
124, 235, 346, 457, ?
- A
455
- B
465
- C
565
- D
568
Show answer
D. 568Each number increases by 111:
124 + 111 = 235
235 + 111 = 346
346 + 111 = 457
457 + 111 = 568
So, the missing number is 568.
Paper & answer key PDF ↗ Question 10archived
F is the brother of A. C is the daughter of A. K is the sister of F. G is the brother of C. Who is the uncle of G?
- A
A
- B
C
- C
K
- D
F
Show answer
D. FFrom the statements:
F is brother of A → F and A are siblings.
C is daughter of A → C is A’s child.
K is sister of F → K is sibling to F (and A).
G is brother of C → G is also A’s child.
So, F is the brother of A and hence, uncle of A’s children (C and G).
Answer: F
Paper & answer key PDF ↗ Question 11archived
If Jhansi is 12 ahead in rank of Prabha, who ranks 15th from last, then how many students are there in the class if Jhansi ranks 4th in order of merit?
- A
23
- B
27
- C
30
- D
31
Show answer
C. 30Prabha ranks 15th from the last, so her position from the top = Total students − 15 + 1 = Total − 14.
Jhansi is 12 ranks ahead of Prabha, so:
Jhansi's rank = (Total − 14) − 12 = Total − 26
But Jhansi's actual rank is 4 (from the top), so:
Total − 26 = 4 → Total = 30.
Hence, the total number of students is 30.
Paper & answer key PDF ↗ Question 12archived
From the given words, select the word which cannot be formed using the letters of the given word.
ENVIRONMENT
- A
ENTER
- B
METRE
- C
IRON
- D
MOMENTUM
Show answer
D. MOMENTUMWord "MOMENTUM" contains two 'M's and two 'U's.
The word "ENVIRONMENT" has only one 'M' and one 'U'.
Hence, MOMENTUM cannot be formed from the given letters.
Paper & answer key PDF ↗ Question 13archived
If 'BASKET' is written as 'TEKSAB', how can 'PILLOW' be written in that code?
- A
LOWPIL
- B
WOLLIP
- C
LOWLIP
- D
WOLPIL
Show answer
B. WOLLIPThe code is simply the reverse of the original word.
BASKET → TEKSAB (reverse).
PILLOW → WOLLIP.
Hence, the correct answer is WOLLIP.
Paper & answer key PDF ↗ Question 14archived
If '+' means '−' and '−' means '×', '×' means '÷' and '÷' means '+', then 2 ÷ 6 × 6 ÷ 2 = ?
- A
1
- B
0
- C
10
- D
5
Show answer
D. 5Given expression: 2 ÷ 6 × 6 ÷ 2
Replace operators as per code:
÷ → +
× → ÷
So expression becomes: 2 + 6 ÷ 6 + 2
Follow BODMAS:
6 ÷ 6 = 1
So, 2 + 1 + 2 = 5
Answer: 5.
Paper & answer key PDF ↗ Question 15archived
If 6 × 9 × 3 = 963 and 4 × 8 × 5 = 845, then 9 × 4 × 7 = ?
- A
974
- B
479
- C
497
- D
749
Show answer
C. 497The pattern is: arrange the three numbers as [2nd][1st][3rd].
6 × 9 × 3 → 9, 6, 3 = 963 ✓
4 × 8 × 5 → 8, 4, 5 = 845 ✓
9 × 4 × 7 → 4, 9, 7 = 497
Hence, the answer is 497.
Paper & answer key PDF ↗ Question 16archived
Select the missing number from the given responses.
359
46?
372
3621036
- A
4
- B
3
- C
2
- D
1
Show answer
C. 2Each column: Multiply the 3 numbers and get the result below.
Column 1: 3 × 4 × 3 = 36
Column 2: 5 × 6 × 7 = 210
Column 3: 9 × ? × 2 = 36 → ? = 36 ÷ (9 × 2) = 2
Hence, missing number is 2.
Paper & answer key PDF ↗ Question 17archived
Ashok went 8 kms south and turned west and walked 3 kms. Again he turned north and walked 5 kms. He took a final turn to east and walked 3 kms. In which direction was Ashok from the starting point?
- A
East
- B
North
- C
West
- D
South
Show answer
D. SouthPath followed:
South 8 km → West 3 km → North 5 km → East 3 km
East and West cancel out → Net = 0 km
South 8 km − North 5 km = 3 km South
So Ashok is 3 km South from start point.
Direction = South
Paper & answer key PDF ↗ Question 18archived
Consider the given statement/s to be true and decide which of the given conclusions/assumptions can definitely be drawn from the given statement.
Statement: Ahimsa should be basic principle of human beings. All of us should practise Ahimsa.
Conclusions: I. We all know the real meaning of Ahimsa.
Conclusions: II. Ahimsa promotes global harmony.
- A
Only conclusion I follows
- B
Only conclusion II follows
- C
Neither I conclusion nor II follows
- D
Both I and II follow
Show answer
C. Neither I conclusion nor II followsThe statement only says that Ahimsa should be practiced. It does not mention that all know its meaning (I), nor does it mention global harmony (II).
Hence, neither I nor II follows.
Paper & answer key PDF ↗ Question 19archived
Of a cubical container, all the six faces have different markings indicating the position of the equipment packed inside. Which symbol is opposite the face having C?

- A
Z
- B
B
- C
X
- D
Y
Show answer
A. ZFrom the cube positions and visible faces:
Opposite of C is Z.
Hence, the correct answer is Z.
Paper & answer key PDF ↗ Question 20archived
Identify the diagram that best represents the relationship among classes given below
Minutes, Days, Months.
- A
Option A (shown in image)
- B
Option B (shown in image)
- C
Option C (shown in image)
- D
Option D (shown in image)
Show answer
A. Option A (shown in image)Minutes are part of Hours, which are part of Days, which are part of Months. So all are subsets of each other. Hence, a set of nested circles best represents the relationship.
Paper & answer key PDF ↗ Question 21archived
Which answer figure will complete the pattern in the question figure?

- A
Option A (shown in image)
- B
Option B (shown in image)
- C
Option C (shown in image)
- D
Option D (shown in image)
Show answer
B. Option B (shown in image)The curves and lines align symmetrically when option 2 is placed in the bottom-right corner of the incomplete grid. It completes both diagonal and circular parts.
Paper & answer key PDF ↗ Question 22archived
From the given answer figures, select the one in which the question figure is hidden/embedded.

- A
Option A (shown in image)
- B
Option B (shown in image)
- C
Option C (shown in image)
- D
Option D (shown in image)
Show answer
D. Option D (shown in image)The shape in the question is perfectly embedded in option 4. Look closely and the exact arrow-like shape appears in the background figure.
Paper & answer key PDF ↗ Question 23archived
A piece of paper is folded and cut as shown below in the question figures. From the given answer figures, indicate how it will appear when opened.

- A
Option A (shown in image)
- B
Option B (shown in image)
- C
Option C (shown in image)
- D
Option D (shown in image)
Show answer
B. Option B (shown in image)The dots are symmetrically distributed from the fold in option 2. This is the accurate unfolded pattern that results from the original cuts.
Paper & answer key PDF ↗ Question 24archived
If a mirror is placed on the line MN, which of the answer figures is the right image of the given figure?

- A
Option A (shown in image)
- B
Option B (shown in image)
- C
Option C (shown in image)
- D
Option D (shown in image)
Show answer
C. Option C (shown in image)The mirror image will flip letters and positions across the vertical axis (line MN). Option 3 accurately shows the reflection of letters and structure.
Paper & answer key PDF ↗ Question 25archived
In the question, a word is represented by only one set of numbers as given in any one of the alternatives. The sets of numbers given in the alternatives are represented by two classes of alphabets as in two matrices given below. The columns and rows of Matrix I are numbered from 0 to 4 and that of Matrix II are numbered from 5 to 9. A letter from these matrices can be represented first by its row and next by its column, e.g., G can be represented by 03, 12, etc., and 'L' can be represented by 57, 65, etc. Similarly you have to identify the set for the word 'DATE'

- A
23, 68, 24, 97
- B
14, 96, 11, 85
- C
23, 96, 40, 85
- D
32, 89, 10, 68
Show answer
A. 23, 68, 24, 97Using the matrices given, you look up each letter in either Matrix I or Matrix II and use its row-column number for encoding.
The word ‘DATE’ is represented correctly by the combination 23, 68, 24, 97 based on the letter positions in the two matrices.
Paper & answer key PDF ↗ Question 26archived
MUDRA Bank has been launched to help
- A
Small business
- B
Marginal farmers
- C
Poor women
- D
Rural sector
Show answer
A. Small businessMudra Bank was formed to provide loans and financial assistance to small businesses.
Paper & answer key PDF ↗ Question 27archived
Which of the following controls the insurance business of India?
- A
RBI
- B
IDBI
- C
SEBI
- D
IRDA
Show answer
D. IRDAThe insurance business in India is regulated by IRDA (Insurance Regulatory and Development Authority of India.
Paper & answer key PDF ↗ Question 28archived
The Speaker of Lok Sabha addresses his letter of resignation to the
- A
President of India
- B
Prime Minister
- C
Deputy Speaker of Lok Sabha
- D
The Chief Justice of India
Show answer
C. Deputy Speaker of Lok SabhaThe Speaker of the Lok Sabha addresses his resignation letter to the Deputy Speaker of the Lok Sabha.
Paper & answer key PDF ↗ Question 29archived
Who presided over the first session of the Indian National Congress?
- A
A. O. Hume
- B
Surendranath Banerjee
- C
W.C. Banerjee
- D
Badruddin Tayyabji
Show answer
C. W.C. BanerjeeThe first session of the Indian National Congress was presided over by W.C. Banerjee in the year 1885.
Paper & answer key PDF ↗ Question 30archived
Which of the following writers has called Akbar's Din-i-Ilahi as a monument of his folly, not of wisdom?
- A
Badayuni
- B
Vincent Smith
- C
Barni
- D
W. Haig
Show answer
B. Vincent SmithVincent Smith, a noted historian, criticized Akbar's Din-i-Ilahi by calling it “a monument of his folly, not of wisdom”. This reflects his disapproval of Akbar's attempt to merge different religions into one faith.
Paper & answer key PDF ↗ Question 31archived
Which of the following region in India is now regarded as an "Ecological Hot Spot"?
- A
Western Himalayas
- B
Eastern Himalayas
- C
Western Ghats
- D
Eastern Ghats
Show answer
C. Western GhatsThe Western Ghats is recognized as one of the world's eight "hottest hotspots" of biological diversity. It is home to a large number of endemic species and is under threat due to human activities, making it an ecological hot spot.
Paper & answer key PDF ↗ Question 32archived
The Beaufort scale is used to measure:
- A
Atmospheric pressure
- B
Altitudes of mountains
- C
Wind velocity
- D
Intensity of earthquakes
Show answer
C. Wind velocityThe Beaufort Scale is used to measure wind velocity or wind speed. It was developed by Sir Francis Beaufort and is based on observed sea conditions or land conditions due to wind.
Paper & answer key PDF ↗ Question 33archived
The waste management technique that involves the use of micro-organisms to remove or neutralize pollutants from contaminated site is called:
- A
Bio sensor
- B
Bio magnification
- C
Bio remediation
- D
Bio concentration
Show answer
C. Bio remediationBioremediation is a technique in which micro-organisms are used to degrade or detoxify pollutants in a contaminated site. It is a sustainable and natural method used in environmental clean-up.
Paper & answer key PDF ↗ Question 34archived
In IT networking, which of the following device is used in physical layer?
- A
Repeater
- B
Router
- C
Transport Gateway
- D
Bridge
Show answer
A. RepeaterRepeater is used in the physical layer. It is a network device that regenerates signals and sends them to the next part of the network.
Paper & answer key PDF ↗ Question 35archived
The purest form of water in nature is
- A
Rain Water
- B
Lake Water
- C
River Water
- D
Sea Water
Show answer
A. Rain WaterRain water is the purest form of water in nature.
Paper & answer key PDF ↗ Question 36archived
The source of energy that causes the least global warming is
- A
Coal
- B
Geothermal energy
- C
Natural Gas
- D
Petroleum
Show answer
B. Geothermal energyGeothermal energy causes the least global warming.
Paper & answer key PDF ↗ Question 37archived
The constellation 'Sapta Rishi' is known to Westerners as the
- A
Seven Monks
- B
Alpha Centauri
- C
Big Dipper
- D
Small Bear
Show answer
C. Big DipperThe constellation 'Sapta Rishi' is known to Westerners as the Big Dipper
Paper & answer key PDF ↗ Question 38archived
Bridge is the technique used in
- A
Athletics
- B
Wrestling
- C
Weight lifting
- D
Karate
Show answer
B. WrestlingThe technique of 'Bridge' is used in Wrestling.
Paper & answer key PDF ↗ Question 39archived
Which of the following books is called the 'Bible of Socialism'?
- A
Economics of Welfare
- B
Das Kapital
- C
Value and Capital
- D
Asian Drama
Show answer
B. Das KapitalDas Kapital is known as the 'Bible of Socialism'.
Paper & answer key PDF ↗ Question 40archived
Which country recently detonated its first hydrogen bomb?
- A
North Korea
- B
South Korea
- C
Iran
- D
Libya
Show answer
A. North KoreaNorth Korea recently detonated its first hydrogen bomb.
Paper & answer key PDF ↗ Question 41archived
The Swarna Jayanti Shahari Rojgar Yojna (SJSRY) mainly aims at creating employment opportunities for which type of employment?
- A
Both self employment and wage employment in urban areas
- B
Self employment in urban areas only
- C
Wage employment in urban areas only
- D
None of these
Show answer
A. Both self employment and wage employment in urban areasThe Swarna Jayanti Shahari Rojgar Yojna (SJSRY) aims to provide both self-employment and wage employment opportunities for the urban poor, thereby fostering their economic independence in urban areas.
Paper & answer key PDF ↗ Question 42archived
Who is known as the 'Father of Green Revolution' in India?
- A
G. Paul
- B
Norman Borlaug
- C
Van Neil
- D
Dr. Mitchell
Show answer
B. Norman BorlaugNorman Borlaug is considered the father of Green Revolution in India.
Paper & answer key PDF ↗ Question 43archived
The component used for tuning a radio is basically a variable ____________________.
- A
Resistor
- B
Condenser
- C
Inductor
- D
Transformer
Show answer
B. CondenserCapacitors are used for tuning radios.
Paper & answer key PDF ↗ Question 44archived
Which of the following is not a donor atom?
- A
Phosphorus
- B
Antimony
- C
Arsenic
- D
Aluminium
Show answer
D. AluminiumAluminum is not a donor atom. Phosphorus, antimony and arsenic act as donor atoms in semiconductors.
Paper & answer key PDF ↗ Question 45archived
Which one of the following parties was founded by Subhash Chandra Bose?
- A
Abhinav Bharat
- B
Azad Hind Sena
- C
Revolutionary Army
- D
Forward Block
Show answer
D. Forward BlockSubhas Chandra Bose founded the Forward Block in 1939 to consolidate the revolutionary forces in India and fight for independence. It was a prominent nationalist party that played a key role in India's freedom movement.
Paper & answer key PDF ↗ Question 46archived
0°K is equivalent to
- A
273°C
- B
-273°C
- C
0°C
- D
100°C
Show answer
B. -273°C0°K is equivalent to -273°C
Paper & answer key PDF ↗ Question 47archived
The oxygen liberated during photosynthesis comes from
- A
Water
- B
Carbon Dioxide
- C
Glucose
- D
Chlorophyll
Show answer
A. WaterThe oxygen liberated during photosynthesis comes from water.
Paper & answer key PDF ↗ Question 48archived
First national park of India that was established in 1936 was named as
- A
Kanha National Park
- B
Bharatpur National Park
- C
Hailey National Park
- D
Rajaji National Park
Show answer
C. Hailey National ParkThe first national park in India was Hailey National Park, established in 1936.
Paper & answer key PDF ↗ Question 49archived
Who is the 1st Indian female amputee to climb Mount Everest?
- A
Arunima Sinha
- B
Bachendri Pal
- C
Santosh Yadav
- D
Premlata Agarwal
Show answer
A. Arunima SinhaArunima Sinha was the first Indian woman to climb Mount Everest with an amputated leg.
Paper & answer key PDF ↗ Question 50archived
The term 'Higgs Boson' is associated with
- A
Nano Technology
- B
Oncology
- C
God Particle
- D
Stem Cell Research
Show answer
C. God ParticleThe Higgs Boson is also known as the God Particle.
Paper & answer key PDF ↗ Question 51archived
If 100 cats kill 100 mice in 100 days, then 4 cats would kill 4 mice in how many days?
- A
4 days
- B
3 days
- C
40 days
- D
100 days
Show answer
D. 100 daysOne cat kills one mouse in 100 days. Therefore, 4 cats will kill 4 mice in 100 days.
Paper & answer key PDF ↗ Question 52archived
In ∆ABC, DE || BC such that AD/BD = 3/5. If AC = 5.6 cm, then AE is equal to
- A
4.2 cm
- B
3.1 cm
- C
2.8 cm
- D
2.1 cm
Show answer
D. 2.1 cmBy Basic Proportionality Theorem, AD/BD = AE/EC = 3/5. Let AE = 3x and EC = 5x. Then AC = AE + EC = 3x + 5x = 8x. Given AC = 5.6 cm, so 8x = 5.6, which gives x = 0.7. Therefore, AE = 3x = 3(0.7) = 2.1 cm.
Paper & answer key PDF ↗ Question 53archived
If two circles touch each other internally. The greater circle has its radius as 6 cm and the distance between the centres of the circles is 2 cm. The radius of the other circle is
- A
3 cm
- B
4 cm
- C
2 cm
- D
5 cm
Show answer
B. 4 cmLet R be the radius of the larger circle and r be the radius of the smaller circle. The distance between the centers is R - r. Given R = 6 cm and R - r = 2 cm. Therefore, 6 - r = 2, which gives r = 4 cm.
Paper & answer key PDF ↗ Question 54archived
An office opens at 10 AM and closes at 5 PM. The lunch interval is 30 minutes. The ratio of lunch interval to the total period of office hours is:
- A
1:7
- B
1:14
- C
7:1
- D
14:1
Show answer
B. 1:14Office opens at 10 AM and closes at 5 PM, so the total working hours are 7 hours. The lunch interval is 30 minutes (0.5 hours). The ratio of lunch interval to total office hours is:
Ratio = 0.5 / 7 = 1:14.
Hence, the correct answer is 1:14.
Paper & answer key PDF ↗ Question 55archived
A Bookseller allowed 15% discount on the books sold. Sunil purchased books worth Rs.1500. How much will he have to pay to the Bookseller?
- A
Rs.1200
- B
Rs.1250
- C
Rs.1275
- D
Rs.1300
Show answer
C. Rs.1275The cost of books is Rs.1500, and a 15% discount is allowed. The discount is:
Discount = 15% of 1500 = 0.15 × 1500 = 225.
The amount Sunil has to pay = 1500 − 225 = Rs.1275.
Hence, the correct answer is Rs.1275.
Paper & answer key PDF ↗ Question 56archived
If the ratio between the profit and sale price of an article is 1:5, then the ratio between the sale price and the cost price of that article is:
- A
3:2
- B
4:3
- C
5:4
- D
6:5
Show answer
C. 5:4The profit is the difference between the sale price and the cost price. Given the ratio of profit to sale price is 1:5, we have:
Profit = Sale price − Cost price = 1x, Sale price = 5x.
So, Cost price = Sale price − Profit = 5x − x = 4x.
The ratio of sale price to cost price = 5x:4x = 5:4.
Hence, the correct answer is 5:4.
Paper & answer key PDF ↗ Question 57archived
What percent of 1 day is 36 minutes?
- A
25%
- B
2.5%
- C
3.6%
- D
0.25%
Show answer
B. 2.5%1 day = 24 hours = 1440 minutes.
Percentage of 1 day that is 36 minutes = (36 / 1440) × 100 = 2.5%.
Hence, the correct answer is 2.5%.
Paper & answer key PDF ↗ Question 58archived
A car covers a certain distance in 25 hrs. If it reduces the speed by 1/5th, the car covers 200 km less in that time. The speed of the car is:
- A
60 km/hr
- B
30 km/hr
- C
40 km/hr
- D
50 km/hr
Show answer
C. 40 km/hrLet the original speed of the car be x km/hr. The distance covered by the car in 25 hours is 25x.
After reducing the speed by 1/5th, the new speed becomes (4/5)x km/hr.
The distance covered now is 25 × (4/5)x = 20x.
The difference in distance = 25x − 20x = 200 km.
So, x = 200 / 5 = 40 km/hr.
Hence, the correct answer is 40 km/hr.
Paper & answer key PDF ↗ Question 59archived
At what percent of simple interest will a sum of money double itself in 15 years?
- A
6 1/3%
- B
6 2/3%
- C
6 1/2%
- D
6%
Show answer
B. 6 2/3%For a sum to double itself, the simple interest earned equals the principal. Using SI = (P × R × T) / 100: P = (P × R × 15) / 100, so R = 100/15 = 6 2/3% per annum.
Hence, the correct answer is 6 2/3%.
Paper & answer key PDF ↗ Question 60archived
\[\frac{1}{\sqrt{a}}-\frac{1}{\sqrt{b}} = 0, \text{ then the value of } \frac{1}{a} + \frac{1}{b} \text{ is:}\]
- A
1 / √ab
- B
√ab
- C
2 / √(ab)
- D
1 / 2√ab
Show answer
C. 2 / √(ab)If 1/√a − 1 / √b = 0, then 1 / √a = 1 / √b. Hence, √a = √b, or a = b.
So, 1/a + 1/b = 1/a + 1/a = 2 / a.
The value of 1/a + 1/b = 2 / √ab.
Paper & answer key PDF ↗ Question 61archived
If x2 + y2 + z2 = 14 and xy + yz + zx = 11, then the value of (x + y + z)2 is:
- A
16
- B
25
- C
36
- D
49
Show answer
C. 36We know that (x + y + z)2 = x2 + y2 + z2 + 2(xy + yz + zx).
Substitute the given values:
(x + y + z)2 = 14 + 2 × 11 = 14 + 22 = 36.
Hence, the correct answer is 36.
Paper & answer key PDF ↗ Question 62archived
If √2 tan 2θ = √6 and 0° < θ < 45°, then the value of sin θ + √3 cos θ − 2tan2θ is:
- A
2/3
- B
4/3
- C
2
- D
8/3
Show answer
B. 4/3From √2 tan 2θ = √6, we can solve for tan 2θ = √3. Using this, we find the values of sin θ and cos θ using standard trigonometric identities. Substituting these in the expression, we get:
sin θ + √3 cos θ − 2tan2θ = 4 / 3.
Hence, the correct answer is 4/3.
Paper & answer key PDF ↗ Question 63archived
A positive number when decreased by 4, is equal to 21 times the reciprocal of this number. The number is:
- A
3
- B
7
- C
5
- D
9
Show answer
B. 7Let the number be x. According to the question, x - 4 = 21 * (1/x) x - 4 = 21/x x(x - 4) = 21 x² - 4x - 21 = 0 x² - 7x + 3x - 21 = 0 x(x - 7) + 3(x - 7) = 0 (x - 7)(x + 3) = 0 x = 7 or x = -3 Since the number is positive, x = 7.
Paper & answer key PDF ↗ Question 64archived
If \(\tan \alpha = 2\), then the value of \(\frac{\sin \alpha}{\sin^3 \alpha + \cos^3 \alpha}\) is
- A
2 / 9
- B
√5 / 9
- C
10 / 9
- D
5√5 / 9
Show answer
C. 10 / 9We know that tan α = 2, so sin α / cos α = 2. Therefore, sin α = 2cos α.
Now, we calculate the value of sin3 α + cos3 α using the identity:
sin3 α + cos3 α = (sin α + cos α)(sin2 α − sin α cos α + cos2 α).
By substituting values and simplifying, we get the final result of 10 / 9.
Paper & answer key PDF ↗ Question 65archived
If \(x = \sqrt[3]{28}\), \(y = \sqrt[3]{27}\), then the value of \(x + y - \dfrac{1}{x^2 + xy + y^2}\) is
- A
8
- B
7
- C
6
- D
5
Show answer
C. 6x = ³√28
∴ x3 = (³√28)3 = 28
Again, y = ³√27
∴ y3 = (³√27)3 = 27
After substituting the values in equation, we get:
= x + y – x + y
= 2y = 2 × ³√27 = 2 × 3 = 6
Hence, the correct answer is 6.
Paper & answer key PDF ↗ Question 66archived
If x = 12 and y = 4, then the value of (x + y)x/y is:
- A
48
- B
1792
- C
4096
- D
570
Show answer
C. 4096Given x = 12 and y = 4.
(x + y)x/y = (12 + 4)3 = 163 = 4096.
Hence, the correct answer is 4096.
Paper & answer key PDF ↗ Question 67archived
In a triangle PQR, PQ = PR and ∠Q is twice that of ∠P. Then ∠Q is equal to:
- A
72°
- B
36°
- C
144°
- D
108°
Show answer
A. 72°Since PQ = PR, triangle PQR is isosceles with the two equal sides meeting at P. The base angles are ∠Q and ∠R, so ∠Q = ∠R.
Let ∠P = x. Then ∠Q = 2x and ∠R = ∠Q = 2x.
Sum of angles: x + 2x + 2x = 180° → 5x = 180° → x = 36°.
Hence, ∠Q = 2x = 72°.
Paper & answer key PDF ↗ Question 68archived
If the length of a chord of a circle is 16 cm and is at a distance of 15 cm from the centre of the circle, then the radius of the circle (in cm) is:
- A
15
- B
16
- C
17
- D
34
Show answer
C. 17Let the radius of the circle be r. The distance from the centre to the chord is 15 cm, and the length of the chord is 16 cm.
Using the Pythagorean theorem, we can find the radius:
r2 = (16 / 2)2 + 152 = 82 + 152 = 64 + 225 = 289.
r = √289 = 17 cm.
Hence, the correct answer is 17.
Paper & answer key PDF ↗ Question 69archived
On 24th May 2008, the maximum temperature of Delhi, Kolkata and Mumbai were recorded as 35°C, 33°C and 34°C respectively. What was the maximum temperature of Chennai so that the average maximum temperature of those cities would be 35°C?
- A
34°C
- B
35°C
- C
36°C
- D
38°C
Show answer
D. 38°CThe average temperature of all 4 cities should be 35°C. So, the total temperature = 35 × 4 = 140°C.
The sum of temperatures of Delhi, Kolkata, and Mumbai = 35 + 33 + 34 = 102°C.
So, the temperature of Chennai = 140 − 102 = 38°C.
Hence, the correct answer is 38°C.
Paper & answer key PDF ↗ Question 70archived
The diameter of a sphere is twice the diameter of another sphere. The curved surface area of the first and the volume of the second are numerically equal. The numerical value of the radius of the first sphere is:
- A
3
- B
24
- C
8
- D
16
Show answer
B. 24Let the radius of the first sphere be r and the radius of the second sphere be r/2.
The curved surface area of the first sphere = 4πr2
The volume of the second sphere = (4/3)π(r/2)3 = (πr3) / 6.
Equating these gives 4πr2 = (πr3) / 6, solving which gives r = 24.
Hence, the correct answer is 24.
Paper & answer key PDF ↗ Question 71archived
The thread of a kite makes 60° angle with the horizontal plane. If the length of the thread is 80 m, then the vertical height of the kite will be:
- A
40 / √3 m
- B
80√3 m
- C
80 m
- D
40√3 m
Show answer
D. 40√3 mThe kite makes a 60° angle with the horizontal, so the vertical height is given by:
Height = 80 × sin(60°) = 80 × (√3 / 2) = 40√3 m.
Hence, the correct answer is 40√3 m.
Paper & answer key PDF ↗ Question 72archived
How many more people are involved in service than in trade?
- A
3660
- B
2660
- C
1660
- D
660
Show answer
B. 2660Total number of people = 20000 Number of people in service = 20% of 20000 = 4000 Number of people in trade = 6.7% of 20000 = 1340 Difference = 4000 - 1340 = 2660
Paper & answer key PDF ↗ Question 73archived
The ratio of the people involved in service to that of industry is
- A
1:2
- B
2:3
- C
3:4
- D
3:2
Show answer
B. 2:3Number of people in service = 20% of 20000 = 4000 Number of people in Industry = 30% of 20000 = 6000 Ratio = 4000/6000 = 2/3
Paper & answer key PDF ↗ Question 74archived
The sectorial angle made by the people involved in service in the given pie-chart is
- A
36°
- B
90°
- C
72°
- D
108°
Show answer
C. 72°The percentage of people involved in service is 20%. The total angle in a circle is 360°. Therefore, the sectorial angle for service is (20/100) * 360° = 72°
Paper & answer key PDF ↗ Question 75archived
The difference between the maximum number of people involved and minimum number of people involved in various professions is
- A
2640
- B
3640
- C
6320
- D
5320
Show answer
D. 5320Maximum number of people = 33.30% of 20000 = 6660 Minimum number of people = 6.70% of 20000 = 1340 Difference = 6660 - 1340 = 5320
Paper & answer key PDF ↗ Question 76archived
In the following question, out of the four alternatives, choose the word which best expresses the meaning of the given word and click the button corresponding to it.
LABYRINTH
- A
MAZE
- B
PATH
- C
SKYSCRAPER
- D
IMPASSE
Show answer
A. MAZELABYRINTH refers to a complex and intricate maze. The best match is MAZE, which also refers to a network of paths or passages.
Paper & answer key PDF ↗ Question 77archived
In the following question, out of the four alternatives, choose the word which is opposite in meaning to the given word and click the button corresponding to it.
BARREN
- A
FERTILE
- B
ABUNDANT
- C
HARSH
- D
FALLOW
Show answer
A. FERTILEBARREN means incapable of producing anything, while FERTILE refers to land or soil that is capable of producing an abundant supply of crops or plants.
Hence, the opposite is FERTILE.
Paper & answer key PDF ↗ Question 78archived
Four words are given, out of which only one word is spelt correctly. Choose the correctly spelt word and click the button corresponding to it.
- A
Mysogynous
- B
Misogynous
- C
Mysoginous
- D
Misoginious
Show answer
B. MisogynousThe correct spelling is Misogynous, which refers to a person who dislikes or is prejudiced against women.
Paper & answer key PDF ↗ Question 79archived
In the following questions, one part of the sentence may have an error. Find out which part of the sentence has an error and click the button corresponding to it. If the sentence is free from error, click the "No error" option.
According to scientists(A)/ there are a lot of(B)/ answers about it(C)/ No Error(D).
- A
A
- B
B
- C
C
- D
D
Show answer
C. CThe phrase "answers about it" in part C is incorrect. The correct preposition is "to": it should be "answers to it." Hence, the error is in part C.
Paper & answer key PDF ↗ Question 80archived
In the following questions, one part of the sentence may have an error. Find out which part of the sentence has an error and click the button corresponding to it. If the sentence is free from error, click the "No error" option.
They are coming (A)/ straight to (B)/ our direction. (C)/ No Error (D).
- A
A
- B
B
- C
C
- D
D
Show answer
B. BThe correct phrase is "straight toward our direction," not "straight to our direction." Hence, the error is in part B.
Paper & answer key PDF ↗ Question 81archived
In the following questions, one part of the sentence may have an error. Find out which part of the sentence has an error and click the button corresponding to it. If the sentence is free from error, click the "No error" option.
The building collapsed(A)/ at the afternoon (B)/ at about 4 o'clock (C)/ No Error(D).
- A
A
- B
B
- C
C
- D
D
Show answer
B. BThe phrase "at the afternoon" is incorrect. It should be "in the afternoon." Hence, the error is in part B.
Paper & answer key PDF ↗ Question 82archived
The sentences given with blanks are to be filled with an appropriate word(s). Four alternatives are suggested for each question. For each question, choose the correct alternative and click the button corresponding to it.
The police is ________ on his activities.
- A
keeping an eye
- B
keeping watchful eyes
- C
keeping both eyes
- D
keeping one eye
Show answer
A. keeping an eyeThe correct phrase is "keeping an eye," which is a common idiom meaning to observe or watch carefully. Hence, the correct answer is keeping an eye.
Paper & answer key PDF ↗ Question 83archived
The sentences given with blanks are to be filled with an appropriate word(s). Four alternatives are suggested for each question. For each question, choose the correct alternative and click the button corresponding to it.
Are you ______ stamp collecting?
- A
interested by
- B
interested in
- C
interested at
- D
interested about
Show answer
B. interested inThe correct expression is "interested in," which means to have an interest or concern in something. Hence, the correct answer is interested in.
Paper & answer key PDF ↗ Question 84archived
The sentences given with blanks are to be filled with an appropriate word(s). Four alternatives are suggested for each question. For each question, choose the correct alternative and click the button corresponding to it.
Your report ________ my statement.
- A
conforms
- B
conforming
- C
confirms
- D
comforting
Show answer
C. confirmsThe correct word is "confirms," meaning to verify or support the statement. Hence, the correct answer is confirms.
Paper & answer key PDF ↗ Question 85archived
In each of the questions, four alternatives are given for the Idiom/Phrase. Choose the alternative which best expresses the meaning of the Idiom/Phrase and click the button corresponding to it.
To get cold feet
- A
Drenched
- B
Fear
- C
Felicitate
- D
Fever
Show answer
B. Fear"To get cold feet" is an idiomatic expression meaning to become nervous or afraid, usually before an important event. Hence, the correct answer is Fear.
Paper & answer key PDF ↗ Question 86archived
In each of the questions, four alternatives are given for the Idiom/Phrase. Choose the alternative which best expresses the meaning of the Idiom/Phrase and click the button corresponding to it.
Beside the mark
- A
Perfect
- B
Not to the point
- C
Relevant
- D
Charming
Show answer
B. Not to the point"Beside the mark" means something that is not relevant or not to the point. Hence, the correct answer is Not to the point.
Paper & answer key PDF ↗ Question 87archived
In each of the questions, four alternatives are given for the Idiom/Phrase. Choose the alternative which best expresses the meaning of the Idiom/Phrase and click the button corresponding to it.
On tenterhooks
- A
Happy and excited
- B
In suspense and anxiety
- C
Angry and irritated
- D
Surprised and shocked
Show answer
B. In suspense and anxiety"On tenterhooks" means being in suspense or anxiety, waiting for something to happen. Hence, the correct answer is In suspense and anxiety.
Paper & answer key PDF ↗ Question 88archived
Out of the four alternatives, choose the one which can be substituted for the given words/sentences and click the button corresponding to it.
Property inherited from one's father or ancestors.
- A
Patrimony
- B
Mercenary
- C
Hereditary
- D
Aristocracy
Show answer
A. PatrimonyThe term Patrimony refers to property inherited from one's father or ancestors.
Paper & answer key PDF ↗ Question 89archived
Out of the four alternatives, choose the one which can be substituted for the given words/sentences and click the button corresponding to it.
A person who is womanish in his habits.
- A
Feminist
- B
Philogynist
- C
Effeminate
- D
Feminine
Show answer
C. EffeminateAn Effeminate person exhibits traits or habits that are considered traditionally feminine.
Paper & answer key PDF ↗ Question 90archived
Out of the four alternatives, choose the one which can be substituted for the given words/sentences and click the button corresponding to it.
One who is converted from one religion to another.
- A
Pilgrim
- B
Polytheist
- C
Proselyte
- D
Presbyte
Show answer
C. ProselyteA Proselyte is someone who has been converted from one religion to another.
Paper & answer key PDF ↗ Question 91archived
A sentence/a part of the sentence is underlined. Four alternatives are given to the underlined part which will improve the sentence. Choose the correct alternative and click the button corresponding to it. In case no improvement is needed, click the button corresponding to "No improvement".
Do you have some sugar?
- A
any sugar
- B
little sugar
- C
small sugar
- D
No improvement
Show answer
A. any sugarThe correct sentence is "Do you have any sugar?" as "some" is unnecessary here, and "any" is more appropriate in questions.
Paper & answer key PDF ↗ Question 92archived
A sentence/a part of the sentence is underlined. Four alternatives are given to the underlined part which will improve the sentence. Choose the correct alternative and click the button corresponding to it. In case no improvement is needed, click the button corresponding to "No improvement".
Iago lied to Othello about his wife.
- A
lay
- B
laid
- C
lain
- D
No improvement
Show answer
D. No improvementThe sentence is correct as it is: "Iago lied to Othello about his wife." No improvement is needed.
Paper & answer key PDF ↗ Question 93archived
A sentence/a part of the sentence is underlined. Four alternatives are given to the underlined part which will improve the sentence. Choose the correct alternative and click the button corresponding to it. In case no improvement is needed, click the button corresponding to "No improvement".
It is not possible to tell the entire story in nutshell.
- A
in a nutshell
- B
in the nut
- C
in a shell
- D
No improvement
Show answer
A. in a nutshellThe correct expression is "in a nutshell," which means to summarize something in a concise manner.
Paper & answer key PDF ↗ Question 94archived
A sentence/a part of the sentence is underlined. Four alternatives are given to the underlined part which will improve the sentence. Choose the correct alternative and click the button corresponding to it. In case no improvement is needed, click the button corresponding to "No improvement".
It is all but same to me whether I am transferred to Mumbai or Kolkata.
- A
all or same
- B
all the same
- C
all one
- D
No improvement
Show answer
B. all the sameThe correct phrase is "all the same," meaning it does not matter to the speaker. Hence, the correct answer is all the same.
Paper & answer key PDF ↗ Question 95archived
A sentence/a part of the sentence is underlined. Four alternatives are given to the underlined part which will improve the sentence. Choose the correct alternative and click the button corresponding to it. In case no improvement is needed, click the button corresponding to "No improvement".
Despite his father's financial assistance he was always hard on.
- A
hard in
- B
hard up
- C
hard out
- D
No improvement
Show answer
B. hard upThe correct phrase is "hard up," meaning in a difficult situation, usually financially. Hence, the correct answer is hard up.
Paper & answer key PDF ↗ Question 96archived
Why do a majority of retired elders find retirement tiresome?
- A
Because their homes have been turned into hives of worry.
- B
Because they do not have hobbies to utilise their free time.
- C
Because they had nothing to do.
- D
Because they had plenty of free time.
Show answer
B. Because they do not have hobbies to utilise their free time.The passage states that retired elders find retirement tiresome because they have too little to do in too much time, and that hobbies could have turned it into a period of creativity and contentment. This implies they lack hobbies to utilize their free time.
Paper & answer key PDF ↗ Question 97archived
How have the Japanese been affected by their weekends?
- A
They have increased enjoyment in life.
- B
They enjoy health and happiness.
- C
They use their free time to increase their enjoyment.
- D
They become addicts to coffee or hard liquor and gambling.
Show answer
D. They become addicts to coffee or hard liquor and gambling.The passage explicitly states that the Japanese, unable to utilize their free time, have become addicts to coffee or hard liquor and gambling.
Paper & answer key PDF ↗ Question 98archived
The syllabus-loaded education system
- A
Places a heavy burden on the youth.
- B
Ensures that parents pay attention to the development of children.
- C
Lays emphasis on intelligence.
- D
Gives students a lot of free time.
Show answer
A. Places a heavy burden on the youth.The passage clearly mentions that the syllabus-loaded education system places a heavy workload on children and youth, emphasizing memory over intelligence. This directly indicates a heavy burden on the youth.
Paper & answer key PDF ↗ Question 99archived
The author thinks that
- A
Authorities are more appreciative of the syllabus-loaded education system.
- B
Hobbies play an important role in changing the unfortunate situation.
- C
Co-curricular activities are discouraged.
- D
Only Indians suffer from inability to utilise leisure.
Show answer
B. Hobbies play an important role in changing the unfortunate situation.The passage highlights the negative consequences of a syllabus-heavy education system that prioritizes rote learning over intelligence. This leads to adults struggling to utilize their leisure time constructively, resulting in various unhealthy habits. The author implicitly suggests that hobbies could provide a solution to this problem by offering a productive and fulfilling way to spend leisure time.
Paper & answer key PDF ↗ Question 100archived
The passage tells us that
- A
Hobbies are a waste of time
- B
Hobbies play a crucial role in physical and mental development.
- C
Hobbies wreak havoc on man's health and happiness.
- D
Hobbies can turn us into addicts of coffee, liquor or gambling.
Show answer
B. Hobbies play a crucial role in physical and mental development.The passage discusses how the lack of hobbies and the pressure from a demanding education system contribute to unhealthy coping mechanisms in adults. While the passage does mention that some individuals resort to unhealthy habits like drinking and gambling, the core message is that the absence of hobbies is a major factor in this problem. The passage implies that productive hobbies are essential for physical and mental well-being.
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