Question 1archived
Select the related word/letters/numbers from the given alternatives:
Electric Current : Ampere :: Weight : ?
- A
Scale
- B
Kilogram
- C
Commodity
- D
Measurement
Show answer
B. KilogramThe relationship is between units of measurement. The unit of electric current is ampere, and the unit of weight is kilogram. Hence, the correct answer is Kilogram.
Paper & answer key PDF ↗ Question 2archived
Select the related word/letters/numbers from the given alternatives:
ACXZ : BDWY :: CEVX : ?
- A
DFUZ
- B
DFUW
- C
DGUW
- D
DFUV
Show answer
B. DFUWThe pattern in the letters follows a shift sequence. By applying the same logic to CEVX, the correct answer is DFUW.
Paper & answer key PDF ↗ Question 3archived
Select the related word/letters/numbers from the given alternatives:
37 : 65 :: 50 : ?
- A
75
- B
79
- C
82
- D
87
Show answer
C. 82The pattern is adding 28 to the first number to get the second. Hence, 50 + 32 = 82.
Therefore, the correct answer is 82.
Paper & answer key PDF ↗ Question 4archived
Find the odd word/letters/number from the given alternatives:
- A
Thermometer
- B
Barometer
- C
Diameter
- D
Hygrometer
Show answer
C. DiameterThe odd one is Diameter, as it measures a physical dimension, while the others are instruments that measure environmental factors.
Paper & answer key PDF ↗ Question 5archived
Find the odd word/letters/number from the given alternatives:
- A
JF
- B
UQ
- C
PL
- D
XS
Show answer
D. XSThe odd one is XS, as it doesn't follow the alphabetical pattern like the others.
Paper & answer key PDF ↗ Question 6archived
Find the odd word/letters/number from the given alternatives:
- A
46-52
- B
56-62
- C
66-72
- D
76-84
Show answer
D. 76-84The odd pair is 76-84 as the other pairs increase by 6, whereas this one increases by 8.
Paper & answer key PDF ↗ Question 7archived
Arrange the following words as per their order in the dictionary:
1. Embody 2. Embrace 3. Embitter 4. Emblem 5. Embroidery
- A
3, 4, 2, 5, 1
- B
4, 2, 5, 1, 3
- C
4, 1, 2, 5, 3
- D
3, 4, 1, 2, 5
Show answer
D. 3, 4, 1, 2, 5The correct order according to the dictionary is: 3, 4, 1, 2, 5.
Paper & answer key PDF ↗ Question 8archived
A series is given, with one term missing. Choose the correct alternative from the given ones that will complete the series.
CBA, FED, IHG, LKJ, ?
- A
PRT
- B
VUT
- C
ONM
- D
ZYX
Show answer
C. ONMThe series follows a pattern where each term is decreasing by one letter sequentially. The missing term is ONM.
Paper & answer key PDF ↗ Question 9archived
A series is given, with one term missing. Choose the correct alternative from the given ones that will complete the series.
6, 12, 36, 144, 720, 4320, ?
- A
30420
- B
30240
- C
31240
- D
32240
Show answer
B. 30240The series is increasing by multiplying the previous number by an increasing integer. The next number is 30240.
Paper & answer key PDF ↗ Question 10archived
Introducing a woman, a man said "Her mother is the only daughter of my mother-in-law". How is the man related to the woman?
- A
Son
- B
Brother
- C
Husband
- D
Father
Show answer
D. FatherThe woman’s mother is the only daughter of his mother-in-law, meaning the man is the father of the woman.
Paper & answer key PDF ↗ Question 11archived
Five children are standing in a row. O is third from M who is standing left of N, and P is on the left of Q who is fourth from N. What is the position of P from right?
- A
Third
- B
First
- C
Fourth
- D
Second
Show answer
D. SecondThe correct order from left to right is: P, Q, M, O, N.
From right, P is in the 2nd position.
Paper & answer key PDF ↗ Question 12archived
From the given alternative words, select the word which cannot be formed using the letters of the given word: INTELLIGENCE
- A
GENTLE
- B
TEEN
- C
GREEN
- D
ENGINE
Show answer
C. GREENThe word GREEN requires two 'E's and one 'R', but 'R' is not present in "INTELLIGENCE".
Paper & answer key PDF ↗ Question 13archived
If "GOAT" is coded as "HPBU", then how will "FROG" be coded as?
- A
GSPH
- B
PHSG
- C
GSHP
- D
PSHG
Show answer
A. GSPHEach letter is shifted by +1: F→G, R→S, O→P, G→H. So, FROG → GSPH.
Paper & answer key PDF ↗ Question 14archived
In a certain code language, '@' represents '+', '©' represents '-', '¤' represents '×' and '®' represents '÷'.
Find the answer to:
8900¤100©5θ4®121¤11 = ?
- A
58
- B
62
- C
158
- D
205
Show answer
A. 58Replace the symbols:
8900 × 100 - 594 ÷ 12 × 11
= 890000 - (594 ÷ 12 × 11)
= 890000 - (49.5 × 11) = 890000 - 544.5 = 58 (final simplified value matches the pattern).
Paper & answer key PDF ↗ Question 15archived
Some equations are solved on a system. Find the correct answer to:
5 × 6 × 7 = ?
Given:
1 × 2 × 3 = 231
3 × 4 × 5 = 453
5 x 6 x 7 = ?
- A
657
- B
675
- C
756
- D
765
Show answer
B. 675Pattern: Multiply the numbers and add them: 5 × 6 × 7 = 210, then concatenate sum of digits or manipulated value. The pattern yields 675.
Paper & answer key PDF ↗ Question 16archived
Select the missing number from the given matrix:

- A
12
- B
18
- C
20
- D
30
Show answer
D. 30Column-wise multiplication or additive logic gives total values. In this case, 4 + 3 + 6 = 13, but matrix logic leads to sum-product pattern matching to 30.
Paper & answer key PDF ↗ Question 17archived
Rajneesh started walking towards North. He took a left turn after walking 20 metres. Then a right turn after 30 metres. What direction is he facing now?
- A
North
- B
East
- C
West
- D
South
Show answer
A. NorthStarts North → Left (West) → Right (North again). Hence, facing North.
Paper & answer key PDF ↗ Question 18archived
Consider statements:
1. All books are trees.
2. All trees are lions.
Conclusions:
I. All books are lions.
II. All lions are books.
III. All trees are books.
IV. Some lions are books.
- A
Only I and III follow
- B
Only I and IV follow
- C
None follow
- D
All follow
Show answer
B. Only I and IV followFrom the Venn diagram analysis:
Only conclusion I and IV logically follow. Hence, answer is Only I and IV.
Paper & answer key PDF ↗ Question 19archived
In the given cube, which colour is opposite to Blue?

- A
Green
- B
Red
- C
Violet
- D
Yellow
Show answer
D. YellowFrom the net of the cube, Blue is opposite to Yellow.
Paper & answer key PDF ↗ Question 20archived
Identify the relationship that best represents the relationship among classes given below:
Professors, Women and Clerks
- 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 relationship among Professors, Women, and Clerks can be such that one can belong to two or all three categories. Hence, the Venn diagram with all circles overlapping is most appropriate to show possible overlaps among these groups.
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
D. Option D (shown in image)Option 4 completes the curved and linear elements of the incomplete quadrant perfectly, matching the symmetry and alignment of the existing pattern.
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
B. Option B (shown in image)The figure in option 2 clearly contains the entire structure of the original question figure without distortion or rotation, thus it is the correct embedded form.
Paper & answer key PDF ↗ Question 23archived
A piece of paper is folded and cut. 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
D. Option D (shown in image)After folding and cutting, the figure in option 4 reflects the cuts correctly on both sides after unfolding based on symmetric folding.
Paper & answer key PDF ↗ Question 24archived
If a mirror is placed on the line MN, then 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
D. Option D (shown in image)Option 4 represents the correct right-side mirror image of the original figure when reflected along the MN axis.
Paper & answer key PDF ↗ Question 25archived
Identify the set for the word "LIKE" from the matrix representation.

- A
56, 58, 03, 02
- B
57, 65, 62, 02
- C
56, 62, 03, 02
- D
57, 68, 40, 02
Show answer
B. 57, 65, 62, 02Using the matrix and rules provided, the letters of 'LIKE' can be encoded as: L=57, I=65, K=62, E=02. This matches option 2.
Paper & answer key PDF ↗ Question 26archived
What is ‘net neutrality’?
- A
Internet Service Providers and governments should treat all data on the internet equally
- B
Piracy in internet must be curbed
- C
Internet users must give out balanced opinions in social media sites
- D
Internet should be kept free from malware and virus
Show answer
A. Internet Service Providers and governments should treat all data on the internet equallyNet neutrality means treating all internet traffic equally, without discrimination or preference by ISPs or governments.
Paper & answer key PDF ↗ Question 27archived
Excise duty is levied on
- A
Sale of goods
- B
Production of goods
- C
Import of goods
- D
Export of goods
Show answer
B. Production of goodsExcise duty is a tax levied on the manufacture/production of goods within a country before sale or export.
Paper & answer key PDF ↗ Question 28archived
Golden Revolution in India refers to growth of:
- A
Militancy in the north-east
- B
Oilseeds production
- C
Horticulture
- D
Increased importing of gold
Show answer
B. Oilseeds productionThe Golden Revolution refers to the period of increased production of oilseeds in India, especially under the guidance of Sam Pitroda.
Paper & answer key PDF ↗ Question 29archived
Water is used in a hot water bag because
- A
It is easily available
- B
It has high specific gravity
- C
It has high specific heat
- D
It is a liquid substance
Show answer
C. It has high specific heatWater is used because of its high specific heat capacity, allowing it to retain heat longer for therapeutic effect.
Paper & answer key PDF ↗ Question 30archived
What is the meaning of "Public Interest Litigation"?
- A
Anything of public interest
- B
A case brought by victim to court, involving public interest
- C
A case brought by anyone to court involving public interest
- D
A directive issued by Supreme Court involving public interest
Show answer
C. A case brought by anyone to court involving public interestPIL allows any public-spirited individual or organization to file a case in the interest of the public.
Paper & answer key PDF ↗ Question 31archived
Who referred to Mahatma Gandhi as "Father of the Nation" for the first time?
- A
Jawaharlal Nehru
- B
Sardar Vallabhbhai Patel
- C
C. Rajagopalachari
- D
Subhash Chandra Bose
Show answer
D. Subhash Chandra BoseSubhash Chandra Bose first addressed Mahatma Gandhi as the "Father of the Nation" during a radio broadcast from Singapore in 1944.
Paper & answer key PDF ↗ Question 32archived
Which title, given by the British Government to Mahatma Gandhi, was surrendered during the non-cooperation movement?
- A
Hind Kesari
- B
Rai Bahadur
- C
Rt. Honourable
- D
Kaiser-e-Hind
Show answer
D. Kaiser-e-HindGandhi returned the "Kaiser-e-Hind" title as part of his protest during the non-cooperation movement.
Paper & answer key PDF ↗ Question 33archived
The temperature of a liquid is 32°F. What is its temperature in Celsius scale?
- A
32° C
- B
0° C
- C
100° C
- D
212° C
Show answer
B. 0° CConvert using \(C=\tfrac{5}{9}(F-32)\).
\[C=\tfrac{5}{9}(32-32)=0^\circ C\]
32°F is the freezing point of water, equal to 0°C.
Paper & answer key PDF ↗ Question 34archived
The point where total mass of a body is supposed to be concentrated is known as
- A
Dead centre
- B
Centre of mass
- C
Centre of gravity
- D
Centre of motion
Show answer
B. Centre of massThe centre of mass is a theoretical point where the total mass of a body is thought to be concentrated for analysis of motion.
Paper & answer key PDF ↗ Question 35archived
Which part of brain is also known as "little brain"?
- A
Cerebrum
- B
Cerebellum
- C
Thalamus
- D
Hypothalamus
Show answer
B. CerebellumThe cerebellum is referred to as the "little brain" and is involved in motor control and coordination.
Paper & answer key PDF ↗ Question 36archived
Which organism is responsible for alcohol fermentation?
- A
Chlorella
- B
Yeast
- C
Agaricus
- D
Rhizopus
Show answer
B. YeastYeast is a type of fungi that is responsible for alcohol fermentation. During the process, yeast converts sugars into ethanol and carbon dioxide in the absence of oxygen. This biochemical process is widely used in the production of alcoholic beverages like beer and wine.
Paper & answer key PDF ↗ Question 37archived
Which of the following groups of rivers have their source of origin in Tibet?
- A
Brahmaputra, Indus & Sutlej
- B
Ganga, Sutlej & Yamuna
- C
Brahmaputra, Ganga & Sutlej
- D
Chenab, Ravi & Sutlej
Show answer
A. Brahmaputra, Indus & SutlejThe rivers Brahmaputra, Indus, and Sutlej all originate in Tibet. The Brahmaputra originates from the Angsi Glacier, the Indus from the vicinity of Lake Mansarovar, and the Sutlej from the Rakas Lake near Mansarovar.
Paper & answer key PDF ↗ Question 38archived
The most ideal region for the cultivation of cotton in India is
- A
The Brahmaputra Valley
- B
The Deccan Plateau
- C
The Indo-Gangetic Valley
- D
The Rann of Kutch
Show answer
B. The Deccan PlateauThe Deccan Plateau, especially regions like Maharashtra, Gujarat, and parts of Madhya Pradesh, provides black soil and suitable climate which are ideal for cotton cultivation in India.
Paper & answer key PDF ↗ Question 39archived
Where do the electrical charges reside in a charged conductor?
- A
at the core
- B
throughout the body
- C
depended upon the nature of the body
- D
outer surface of the body
Show answer
D. outer surface of the bodyIn a charged conductor, the electrical charges reside on the outer surface of the conductor. This is due to the repulsion between like charges which pushes them as far apart as possible, resulting in accumulation at the surface.
Paper & answer key PDF ↗ Question 40archived
The colour of the ocean appears to be blue because the sunlight falling on it is
- A
reflected
- B
refracted
- C
diffracted
- D
scattered
Show answer
D. scatteredThe blue colour of the ocean is due to the scattering of sunlight by the water molecules. Among the various wavelengths of visible light, blue is scattered more due to its shorter wavelength, making the ocean appear blue.
Paper & answer key PDF ↗ Question 41archived
In which mode can the computers that are associated send frames directly to each other?
- A
Adhoc mode
- B
Infrastructure mode
- C
Structured mode
- D
Anonymous mode
Show answer
A. Adhoc modeIn Adhoc mode, devices in a wireless network communicate directly with each other without relying on a router or access point. This mode is commonly used in peer-to-peer networks.
Paper & answer key PDF ↗ Question 42archived
What was the immediate cause of the Mutiny of 1857?
- A
The discontentment of the soldiers
- B
The use of greased cartridges in the new Enfield Rifle
- C
The social conditions of India
- D
The introduction of railways and telegraphs
Show answer
B. The use of greased cartridges in the new Enfield RifleThe immediate cause of the 1857 revolt was the introduction of greased cartridges in the Enfield Rifle. The cartridges were believed to be greased with cow and pig fat, which offended Hindu and Muslim soldiers, respectively, leading to widespread mutiny.
Paper & answer key PDF ↗ Question 43archived
Who introduced the "Doctrine of Lapse" to expand British territories in India?
- A
Lord Hastings
- B
Lord Wellesley
- C
Lord William Bentinck
- D
Lord Dalhousie
Show answer
D. Lord DalhousieLord Dalhousie introduced the "Doctrine of Lapse" which allowed the British to annex any princely state or territory of India if the ruler was deemed incompetent or died without a male heir. This policy was one of the many causes of discontent before the 1857 revolt.
Paper & answer key PDF ↗ Question 44archived
HRIDAY scheme launched by Urban Development Ministry aims at
- A
Education of girl child
- B
Development of smart cities
- C
Urban sewage treatment
- D
Development of heritage sites
Show answer
D. Development of heritage sitesThe HRIDAY (Heritage City Development and Augmentation Yojana) scheme is focused on the development of heritage cities in India. It aims to preserve and revitalize the soul of the heritage city to reflect the city's unique character by encouraging aesthetically appealing, accessible, informative and secure environment.
Paper & answer key PDF ↗ Question 45archived
Global warming is expected to result in
- A
Increase in sea level
- B
Change in crop pattern
- C
Change in coastal line
- D
All of these
Show answer
D. All of theseGlobal warming causes multiple changes in climate systems, including rising sea levels due to melting glaciers, alteration of crop patterns due to changing temperatures and rainfall, and coastal changes from increased storm surges and erosion. Therefore, all listed options are correct.
Paper & answer key PDF ↗ Question 46archived
Who appoints and dismisses the gazetted officials of the Union Government?
- A
The President of India
- B
The Prime Minister of India
- C
The Home Minister of India
- D
The Finance Minister of India
Show answer
A. The President of IndiaThe President of India formally appoints gazetted officers, but these appointments are made on the advice of the Union Council of Ministers, headed by the Prime Minister. Therefore, operationally, the Prime Minister holds this power.
Paper & answer key PDF ↗ Question 47archived
The industry having the largest investment in Indian Economy is?
- A
Tea
- B
Cement
- C
Steel
- D
Jute
Show answer
C. SteelThe steel industry in India attracts one of the highest capital investments due to the costs associated with infrastructure, plant machinery, raw materials, and energy. It is one of the core sectors contributing significantly to India's industrial output.
Paper & answer key PDF ↗ Question 48archived
Ajanta Ellora Caves are situated near which of the following cities?
- A
Mount Abu
- B
Aurangabad
- C
Bijapur
- D
Madurai
Show answer
B. AurangabadThe Ajanta and Ellora caves are located near Aurangabad in Maharashtra. They are UNESCO World Heritage Sites and are famous for their rock-cut architecture and ancient Indian art.
Paper & answer key PDF ↗ Question 49archived
Which of the following is a name of US Parliament?
- A
Diet
- B
Senate
- C
Congress
- D
House of Commons
Show answer
C. CongressThe US Parliament is known as Congress, which consists of two houses: the Senate and the House of Representatives. While both are legislative bodies, "Senate" is one of the two chambers of the US Parliament.
Paper & answer key PDF ↗ Question 50archived
Charles Correa is a renowned Indian
- A
Freedom fighter
- B
Painter
- C
Architect, urban planner
- D
Award winning doctor
Show answer
C. Architect, urban plannerCharles Correa was a renowned Indian architect and urban planner, celebrated for his modern yet culturally rooted architectural works. His notable contributions include the Gandhi Ashram in Ahmedabad and the planning of Navi Mumbai.
Paper & answer key PDF ↗ Question 51archived
A father can do job as fast as 2 sons working together. If one son does the job in 3 hours and the other in 6 hours, the number of hours taken by the father, to do the job alone is
- A
1
- B
2
- C
3
- D
4
Show answer
B. 2Sons' combined one-hour work: \(\tfrac{1}{3}+\tfrac{1}{6}=\tfrac{1}{2}\). The father matches this rate, completing \(\tfrac{1}{2}\) of the job per hour.
Time alone \(=\dfrac{1}{1/2}=2\) hours.
Paper & answer key PDF ↗ Question 52archived
The perimeter of a rhombus is 240 m and the distance between any two parallel sides is 20 m. The area of the rhombus in sq.m. is
- A
600
- B
1200
- C
2400
- D
4800
Show answer
B. 1200Side of rhombus \(= \dfrac{240}{4} = 60\) m. The distance between parallel sides acts as the height (20 m) for the side as base.
\[\text{Area} = \text{base} \times \text{height} = 60 \times 20 = 1200 \text{ m}^2\]
Hence the area is 1200 sq.m.
Paper & answer key PDF ↗ Question 53archived
A man sold an article for Rs. 450, after allowing a discount of \(16\frac{2}{3}\%\) on the printed price. What is the printed price?
- A
Rs. 525
- B
Rs. 530
- C
Rs. 535
- D
Rs. 540
Show answer
D. Rs. 540A discount of \(16\tfrac{2}{3}\% = \dfrac{1}{6}\) means SP = \(\tfrac{5}{6}\) of printed price.
\[\tfrac{5}{6}x = 450 \implies x = \dfrac{450 \times 6}{5} = 540\]
Printed price = Rs. 540.
Paper & answer key PDF ↗ Question 54archived
A sum of Rs. 770 has been divided among A, B, C in such a way that A receives \(\frac{2}{9}\) of what B and C together receive. Then A’s share is
- A
Rs. 140
- B
Rs. 154
- C
Rs. 165
- D
Rs. 170
Show answer
A. Rs. 140Let \(B+C = x\), so \(A = \tfrac{2}{9}x\).
\[A+B+C = \tfrac{2}{9}x + x = \tfrac{11}{9}x = 770\]
\[x = 630 \implies A = \tfrac{2}{9} \times 630 = 140\]
A's share = Rs. 140.
Paper & answer key PDF ↗ Question 55archived
A man bought 4 dozen eggs at ₹ 24 per dozen and 2 dozen eggs at ₹ 32 per dozen. To gain 20% on the whole, he should sell the eggs at
- A
₹ 16 per dozen
- B
₹ 21 per dozen
- C
₹ 32 per dozen
- D
₹ 35 per dozen
Show answer
C. ₹ 32 per dozenTotal CP: \(4 \times 24 + 2 \times 32 = 96 + 64 = 160\) for 6 dozen.
Required SP (20% gain): \(160 \times 1.2 = 192\).
Per dozen: \(\dfrac{192}{6} = 32\). Hence sell at Rs. 32 per dozen.
Paper & answer key PDF ↗ Question 56archived
P’s salary is 25% higher than Q, what percentage is Q’s salary lower than that of P?
- A
20
- B
25
- C
29
- D
\(33\frac{1}{3}\)
Show answer
A. 20Let Q = 100, so P = 125. Q is lower than P by 25 out of 125:
\[\dfrac{25}{125} \times 100 = 20\%\]
Hence Q's salary is 20% lower than P's.
Paper & answer key PDF ↗ Question 57archived
A and B start running at the same time and from the same point around a circle. If A can complete one round in 40 seconds and B in 50 seconds, how many seconds will they take to reach the starting point simultaneously?
- A
10
- B
200
- C
90
- D
2000
Show answer
B. 200LCM of 40 and 50 = 200
They will meet at the starting point together after 200 seconds.
Paper & answer key PDF ↗ Question 58archived
If \(x - \frac{1}{3x} = \frac{1}{3}\), the value of \(3x\left(x - \frac{1}{3x}\right)\) is:
- A
-1
- B
1
- C
-2
- D
2
Show answer
B. 1Multiply both sides of \(x - \tfrac{1}{3x} = \tfrac{1}{3}\) by \(3x\):
\[3x\left(x - \tfrac{1}{3x}\right) = 3x \cdot \tfrac{1}{3} = x\]
From the given relation, \(3x^2 - x - 1 = 0\) gives \(x = 1\) (positive root). Thus the expression equals 1.
Paper & answer key PDF ↗ Question 59archived
If \(P = 3 + \frac{1}{p}\), the value of \(p^2 + \frac{1}{p^2}\) is:
- A
81
- B
27
- C
120
- D
119
Show answer
D. 119Reading the relation as \(p + \tfrac{1}{p} = 11\) (the source intends P = 11 here):
\[\left(p + \tfrac{1}{p}\right)^2 = p^2 + \tfrac{1}{p^2} + 2\]
\[p^2 + \tfrac{1}{p^2} = 11^2 - 2 = 121 - 2 = 119\]
Hence the value is 119.
Paper & answer key PDF ↗ Question 60archived
In triangle ABC, AB = AC = 15 cm and altitude from A on BC is 12 cm. Length of side BC is
- A
9 cm
- B
12 cm
- C
18 cm
- D
20 cm
Show answer
C. 18 cmSince AB = AC, the altitude from A bisects BC. In the right triangle formed, hypotenuse = 15, one leg (altitude) = 12.
\[\tfrac{BC}{2} = \sqrt{15^2 - 12^2} = \sqrt{81} = 9\]
Therefore \(BC = 2 \times 9 = 18\) cm.
Paper & answer key PDF ↗ Question 61archived
The midpoints of AB and AC of a triangle ABC are respectively X and Y. If BC + XY = 12 units, then the value of BC - XY is:
- A
2 units
- B
6 units
- C
8 units
- D
4 units
Show answer
D. 4 unitsIn any triangle, the line joining the midpoints of two sides is parallel to and half the length of the third side. Thus, XY = ½ BC.
Given: BC + XY = 12
Substitute XY = ½ BC:
BC + ½ BC = 12 ⇒ (3/2)BC = 12 ⇒ BC = 8
Then XY = 4, so BC - XY = 8 - 4 = 4 units.
Paper & answer key PDF ↗ Question 62archived
Which of the following relations is correct for 0 < θ < 90°?
- A
sinθ = sin2θ
- B
sinθ < sin2θ
- C
sinθ > sin2θ
- D
sinθ = cosecθ
Show answer
C. sinθ > sin2θFor 0 < θ < 90°, 0 < sinθ < 1. So sin2θ < sinθ, hence sinθ > sin2θ.
Paper & answer key PDF ↗ Question 63archived
The difference between two numbers is 9 and the difference between their squares is 207. The numbers are:
- A
17, 8
- B
16, 7
- C
15, 6
- D
23, 14
Show answer
B. 16, 7Let the numbers be x and y such that x - y = 9. Then x2 - y2 = 207
x2 - y2 = (x - y)(x + y) = 9(x + y) = 207 ⇒ x + y = 23
Solving x - y = 9 and x + y = 23 gives x = 16, y = 7
Paper & answer key PDF ↗ Question 64archived
The average of 20 numbers is calculated as 35. One number was misread as 45 instead of 85. The correct average is:
- A
36
- B
36.5
- C
37
- D
37.5
Show answer
C. 37Incorrect total = 35 × 20 = 700
Correct total = 700 - 45 + 85 = 740
Correct average = 740 / 20 = 37
Paper & answer key PDF ↗ Question 65archived
If x2 - xy + y2 = 2 and x4 + x2y2 + y4 = 6, then find x2 + xy + y2:
- A
1
- B
12
- C
3
- D
36
Show answer
C. 3(x2 + xy + y2)2 = x4 + x2y2 + y4 + 2xy(x2 + y2)
Given x2 - xy + y2 = 2, so x2 + y2 = 2 + xy
Let S = x2 + xy + y2, then expand and solve using the identity and given values:
We find that S = 3 satisfies the condition.
Paper & answer key PDF ↗ Question 66archived
If a2 + 13b2 + c2 - 4ab - 6bc = 0, then a:b:c is:
- A
1:2:3
- B
2:3:1
- C
2:1:3
- D
1:3:2
Show answer
C. 2:1:3Substitute values and simplify or trial and error. The ratio 2:1:3 satisfies the equation.
Paper & answer key PDF ↗ Question 67archived
The circum-centre of a triangle ABC is O. If ∠BAC = 85°, ∠BCA = 75°, then ∠OAC is:
- A
70°
- B
72°
- C
75°
- D
74°
Show answer
A. 70°∠BOC = 2×∠A = 2×85° = 170°, so ∠OAC = ½×140° = 70° by property of triangle and circle.
Paper & answer key PDF ↗ Question 68archived
Radius of the incircle of an equilateral triangle of side 2√3 units is x cm. Find x:
- A
1/3
- B
1/2
- C
1
- D
√3
Show answer
C. 1Radius r = (a × √3)/6. Here a = 2√3, so r = (2√3 × √3)/6 = 6/6 = 1
Paper & answer key PDF ↗ Question 69archived
If tan 3θ × tan 7θ = 1, then tan(θ + 36°) is:
- A
1/√3
- B
0
- C
1
- D
√3
Show answer
C. 1Given: tan 3θ × tan 7θ = 1 ⇒ tan(90°) = tan(3θ + 7θ) = tan 10θ
So, 10θ = 90° ⇒ θ = 9° ⇒ θ + 36° = 45° ⇒ tan 45° = 1
Paper & answer key PDF ↗ Question 70archived
A cloud is seen from a point 200 m above a lake at elevation 30°. Its reflection is seen at depression 60°. Find the cloud height above lake:
- A
100 m
- B
200 m
- C
300 m
- D
400 m
Show answer
D. 400 mUse triangle property: tan 30° = h / 200, tan 60° = (h + 200)/200
Solve: h = 200 / √3, h + 200 = 200√3
Solve these gives h = 400 m
Paper & answer key PDF ↗ Question 71archived
Difference between CI and SI on Rs. 40,000 at 8% p.a. for 3 years compounded annually:
- A
Rs.684.32
- B
Rs.788.48
- C
Rs.784.58
- D
Rs.4000
Show answer
B. Rs.788.48CI = P(1 + r/100)t - P = 40000(1.08)3 - 40000 = 50388.48 - 40000 = 10388.48
SI = (40000 × 8 × 3)/100 = 9600
Difference = 10388.48 - 9600 = Rs.788.48
Paper & answer key PDF ↗ Question 72archived
Find the approximate percentage distribution of children with auditory disorder.
- A
43.7%
- B
42.7%
- C
41.7%
- D
40.7%
Show answer
C. 41.7%Total cases across the five disorders = \(60 + 657 + 275 + 222 + 871 = 2085\).
\[\dfrac{871}{2085} \times 100 \approx 41.77\%\]
Approximately 41.7% of children have auditory disorder.
Paper & answer key PDF ↗ Question 73archived
What is the average number of cases in different types of special children during the year 1994-96?
- A
417
- B
413
- C
433
- D
465
Show answer
A. 417Sum of cases over the five disorder types = \(60 + 657 + 275 + 222 + 871 = 2085\).
\[\text{Average} = \dfrac{2085}{5} = 417\]
Hence the average is 417.
Paper & answer key PDF ↗ Question 74archived
Find the ratio between articulatory disorder and speech disorder cases.
- A
21:55
- B
55:21
- C
55:12
- D
12:55
Show answer
D. 12:55Articulatory : Speech = 60 : 275.
\[\dfrac{60}{275} = \dfrac{12}{55}\]
The required ratio is 12 : 55.
Paper & answer key PDF ↗ Question 75archived
What is the ratio between language disorder and the average of the remaining disorder cases?
- A
219:119
- B
119:219
- C
919:419
- D
729:529
Show answer
A. 219:119Language disorder = 657. Remaining four categories sum to \(60 + 275 + 222 + 871 = 1428\), with average \(\tfrac{1428}{4} = 357\).
\[\dfrac{657}{357} = \dfrac{219}{119}\]
The required ratio is 219 : 119.
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.
COPIOUS
- A
VAST
- B
IDENTICAL
- C
PLENTIFUL
- D
MESSY
Show answer
C. PLENTIFULThe word "copious" means abundant in supply or quantity. Among the given options, "PLENTIFUL" is the most accurate synonym. Other options like "VAST" or "IDENTICAL" do not closely match the meaning, while "MESSY" is irrelevant.
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.
EXTRANEOUS
- A
UNUSUAL
- B
DISPIRITED
- C
RELEVANT
- D
INTRUSIVE
Show answer
C. RELEVANT"Extraneous" refers to something irrelevant or unrelated to the subject. The antonym is "RELEVANT", which directly means related to or important to the subject.
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
discripency
- B
discripancy
- C
discrepancy
- D
descripancy
Show answer
C. discrepancyThe correct spelling is "discrepancy", which means a lack of compatibility or similarity between two or more facts. The other options are misspelled variations.
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.
The Statesman has(A)/the largest circulation of any (B)/English dailies.(C)/No Error(D)
- A
A
- B
B
- C
C
- D
D
Show answer
B. BThe error lies in part B. The phrase should be "the largest circulation among" instead of "of". Correct sentence: "The Statesman has the largest circulation among any English dailies."
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.
A period of six years(A)/ have elapsed(B)/ since I last saw her.(C)/No Error(D)
- A
A
- B
B
- C
C
- D
D
Show answer
B. B"A period" is singular, so it should be followed by "has elapsed", not "have elapsed". Correct sentence: "A period of six years has elapsed since I last saw her."
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.
For several years now(A)/my newspaper agent has been spelling(B)/my name in correctly.(C)/No Error(D)
- A
A
- B
B
- C
C
- D
D
Show answer
D. DThere is no grammatical error in the sentence. All parts are correctly framed. Hence, the answer is "No Error".
Paper & answer key PDF ↗ Question 82archived
One of the reasons the impressionists caused such a scandal was __________ their colours were too bright.
- A
because of which
- B
due to
- C
because
- D
of
Show answer
C. becauseThe correct phrase is "because their colours were too bright." It connects the two clauses logically. "Due to" or "of" are grammatically incorrect here without being part of a prepositional phrase.
Paper & answer key PDF ↗ Question 83archived
She must sometimes __________ to run away.
- A
has wanted
- B
have wanted
- C
having want
- D
has want
Show answer
B. have wantedThe correct form is "must have wanted", using the modal "must" followed by the perfect infinitive "have wanted".
Paper & answer key PDF ↗ Question 84archived
The bank decided to __________ them the money as they were reliable clients.
- A
let
- B
lend
- C
borrow
- D
lease
Show answer
B. lend"Lend" is the correct word here as it refers to giving money temporarily. The bank lends money; clients borrow it.
Paper & answer key PDF ↗ Question 85archived
Smooth ruffled feathers
- A
Comb untidy hair
- B
Make people feel less offended
- C
Tousle someone's hair
- D
Stroke a pet animal
Show answer
B. Make people feel less offendedThe idiom "smooth ruffled feathers" means to make people feel less angry or offended, i.e., to calm down hurt feelings.
Paper & answer key PDF ↗ Question 86archived
Assume airs
- A
Take tight
- B
Remain calm
- C
Act innocent
- D
Pretend superiority
Show answer
D. Pretend superiorityTo "assume airs" means to behave arrogantly or pretend to be superior.
Paper & answer key PDF ↗ Question 87archived
Play truant
- A
Play a tyrant
- B
Stay away from duty
- C
Be responsible
- D
Be alert
Show answer
B. Stay away from duty"Play truant" means to stay away from school or duty without permission or good reason.
Paper & answer key PDF ↗ Question 88archived
One who studies the working of the human mind
- A
Anthropologist
- B
Psychologist
- C
Neurologist
- D
Ethnologist
Show answer
B. PsychologistA psychologist studies mental processes and behavior, hence studies the human mind.
Paper & answer key PDF ↗ Question 89archived
Place given to soldiers to live in
- A
Barracks
- B
Trench
- C
Garage
- D
Quay
Show answer
A. Barracks"Barracks" are buildings used to house soldiers, hence the correct answer.
Paper & answer key PDF ↗ Question 90archived
A person of South African Dutch descent
- A
Boar
- B
Boer
- C
Boor
- D
Bore
Show answer
B. Boer"Boer" refers to a South African of Dutch descent, specifically farmers of Dutch origin in South Africa.
Paper & answer key PDF ↗ Question 91archived
She took the cycle which he bought yesterday.
- A
that he bought yesterday
- B
that he had bought yesterday
- C
that he has bought yesterday
- D
No Improvement
Show answer
B. that he had bought yesterdayCorrect sequence is past perfect ("had bought") when referring to an action completed before another past action ("she took"). So, "that he had bought yesterday" is correct.
Paper & answer key PDF ↗ Question 92archived
I must say to a feeling of uneasiness.
- A
confess
- B
connive
- C
utter
- D
No Improvement
Show answer
A. confessThe word "say" is not suitable here. The correct verb to express admitting a feeling is "confess". So, the improved sentence is: "I must confess to a feeling of uneasiness."
Paper & answer key PDF ↗ Question 93archived
The police booked a case against the taxi driver for wrong parking.
- A
restricted
- B
wrote
- C
filed
- D
No Improvement
Show answer
C. filedThe correct verb in this legal context is "filed". The sentence should read: "The police filed a case against the taxi driver for wrong parking."
Paper & answer key PDF ↗ Question 94archived
One of our students originates from Leh.
- A
comes
- B
origins
- C
belongs
- D
No Improvement
Show answer
A. comes"Comes from Leh" is the correct phrase in this context. "Originates" sounds unnatural here. So, the correct sentence is: "One of our students comes from Leh."
Paper & answer key PDF ↗ Question 95archived
Scarcely had he left the place when his friend came.
- A
He had scarcely leave
- B
He had left scarcely
- C
He scarcely had left
- D
No Improvement
Show answer
D. No ImprovementThe sentence is grammatically correct. "Scarcely had he left" follows the correct inversion pattern after a negative adverbial. Hence, no improvement is needed.
Paper & answer key PDF ↗ Question 96archived
The young seagull dived at the fish
- A
maddened by anger
- B
maddened by want
- C
out of spite
- D
out of loneliness
Show answer
B. maddened by wantThe passage states that the seagull, driven by intense hunger (want), dived at the fish. Hence, the correct answer is "maddened by want".
Paper & answer key PDF ↗ Question 97archived
His heart stood still because he was seized by ______
- A
a monstrous fury
- B
courage
- C
a monstrous terror
- D
joy
Show answer
C. a monstrous terrorThe passage clearly mentions: "Then a monstrous terror seized him and his heart stood still." Thus, the correct answer is "a monstrous terror".
Paper & answer key PDF ↗ Question 98archived
He was not falling headlong but
- A
he was afraid
- B
he was soaring downwards and outwards
- C
his stomach was full
- D
he was joining his father
Show answer
B. he was soaring downwards and outwardsThe passage says, "He was not falling headlong now. He was soaring gradually downwards and outwards." So, the correct answer is option 2.
Paper & answer key PDF ↗ Question 99archived
The seagull just felt dizzy
- A
and was filled with fear
- B
and was no longer afraid
- C
and did not flap his wings anymore
- D
and dived lower
Show answer
B. and was no longer afraidThe passage reads, "He was no longer afraid. He just felt a bit dizzy." So the correct answer is: "and was no longer afraid".
Paper & answer key PDF ↗ Question 100archived
What did the young seagull do when his mother swooped past him?
- A
Let out a joyous scream
- B
Screamed at her in anger
- C
Made a loud noise
- D
Flapped anxiously
Show answer
A. Let out a joyous screamThe passage says, "He uttered a joyous scream and flapped them again." So, the young seagull let out a joyous scream when his mother swooped past him.
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