SSC CGL 2016 · 2016-08-30 · Shift 3

This is an analogy based on storage or containment. Grain is stored in a warehouse, just as water is stored in a dam. - A warehouse stores grain. - A dam stores water. Other options like canal, river, or estuary represent flowing or open bodies of water, not storage. Therefore, the correct answer is Dam.

Let's examine the letter patterns in ADFG : KNPQ. - A → K (Shift of +10) - D → N (Shift of +10) - F → P (Shift of +10) - G → Q (Shift of +10) So, each letter is shifted forward by 10 positions. Now apply the same logic to DGJI: - D → N - G → Q - J → S - I → T So the correct transformation is DGJI → NQST. Hence, the correct answer is NQST.

This is an analogy based on squaring numbers. In the pair 12 : 144, 144 is the square of 12: \( 12^2 = 144 \). Applying the same logic, \( 20^2 = 400 \), so the correct pair is 20 : 400. Hence, the correct answer is 3) 20 : 400.

All options except "Bay" refer to landforms that extend into or are surrounded by water: - Peninsula: land surrounded by water on three sides. - Island: land surrounded by water on all sides. - Cape: a headland extending into a body of water. - Bay, however, is a body of water partially enclosed by land. Thus, "Bay" is different in kind from the rest, making it the odd one out.

Among the given options: - Potato, Carrot, and Radish are root vegetables (they grow underground). - Tomato is a fruit and grows above ground. Thus, Tomato is the odd one out.

Let's analyze the difference between each pair: - 41 - 72 → difference is +31 - 12 - 30 → difference is +18 - 51 - 42 → difference is -9 - 11 - 20 → difference is +9 All the other pairs have a difference less than or equal to 18 or are negative, but 41 - 72 has a large jump of 31, making it inconsistent. Hence, 41 - 72 is the odd one out.

To determine dictionary order, we compare words alphabetically: 1) Immutable 2) Immigrate 3) Imperative 4) Impassioned Arranging alphabetically: - Immigrate (comes before Immutable) - Immutable - Impassioned - Imperative So the third word in order is Impassioned.

Convert letters to their positions in the alphabet: B = 2 F = 6 → +4 K = 11 → +5 Q = 17 → +6 Next increment is +7: 17 + 7 = 24 → 24th letter is X Therefore, the correct answer is X.

This is an arithmetic sequence with a common difference of 4: 5 + 4 = 9 9 + 4 = 13 13 + 4 = 17 17 + 4 = 21 21 + 4 = 25 Hence, the missing number is 21.

This is a trick question. The statement says "All but eight died," meaning that 8 sheep did not die. So, the shepherd is left with 8 sheep. Correct answer: 8.

Let the present age of the son be \( x \). Then, the father's age will be \( 60 - x \) (since their sum is 60). Six years ago: Father's age = \( 60 - x - 6 = 54 - x \) Son's age = \( x - 6 \) According to the condition: \( 54 - x = 5(x - 6) \) Expanding RHS: \( 54 - x = 5x - 30 \) Bringing all terms to one side: \( 54 + 30 = 5x + x \) \( 84 = 6x \Rightarrow x = 14 \) So, son's present age is 14. After 6 years, son’s age will be: \( 14 + 6 = \boxed{20} \)

We are given the word: EXAMINATION Let's analyze each option to see if it can be formed using letters from it. - NATION: Can be formed. - EXAM: Can be formed. - MENTION: Can be formed. - AMBITION: Needs two letters 'I' and one 'B'. But the word "EXAMINATION" does not contain 'B'. Hence, the word that cannot be formed is AMBITION.

Let's examine the transformation from "AMOUNT" → "BNPTMS": A → B (+1) M → N (+1) O → P (+1) U → T (−1) N → M (−1) T → S (−1) So, the pattern is: first 3 letters incremented by 1, next 3 decremented by 1. Apply same logic to "AROUND": A → B (+1) R → S (+1) O → P (+1) U → T (−1) N → M (−1) D → C (−1) So, AROUND → BSPTMC.

This is a pattern-based puzzle, not standard multiplication. Observe how the numbers are reversed: 5 × 4 × 0 → write 5, 4, 0 in reverse → 0 4 5 → interpreted as 405 3 × 2 × 8 → reverse 8, 2, 3 → gives 283 So for 1 × 7 × 6 → reverse gives 6 7 1 → interpreted as 761 Hence, the correct answer is 761.

This is a pattern-based puzzle, not actual multiplication. Check the pattern for each expression: 56 × 11 = 9 → 5 + 6 = 11, 1 + 1 = 2, 11 − 2 = 9 37 × 13 = 6 → 3 + 7 = 10, 1 + 3 = 4, 10 − 4 = 6 42 × 12 = 3 → 4 + 2 = 6, 1 + 2 = 3, 6 − 3 = 3 Apply the same pattern for 87 × 77: 8 + 7 = 15, 7 + 7 = 14, 15 − 14 = 1 Hence, the correct answer is 1.

Looking at the pattern in each triangle: Left triangle: 14 + 28 = 42, 64 + 31 = 95 Right triangle: 18 + 32 = 50, so to maintain the same structure, The bottom number should be the sum of the top two: 32 + 40 = 72 Hence, the missing number is 72.

Let's trace Vijay's movement step by step: - Walks 10 meters west. - Turns left → now facing south → walks 10 meters. - Turns left again → now facing east → walks 10 meters. - Then takes a 45-degree right turn → now facing South-West direction (since right from east by 45° is southwest). Hence, the direction he is now walking in is South West.

The statement "All that glitters is not gold" implies that glittering does not confirm something is gold, but does not imply the reverse either. Also, just because Sujatha wears a gold ornament, we cannot determine whether it glitters or not based on the given statement. Hence, both conclusions are speculative and neither can be definitely drawn.

To count the number of triangles: - There are 9 small triangles inside the figure. - 3 medium-sized triangles formed by combining two small triangles each. - 1 large triangle made up of all the small and medium triangles. Total = 9 (small) + 3 (medium) + 1 (large) = 13 triangles. Hence, the correct answer is 13.

We are looking for the region that is common to: - Circle (Graduates) - Triangle (Sub-Inspector of Police) - Parallelogram (Women) The only region that lies in all three figures is region 5. Hence, the correct answer is 5.

By observing the question figure, we see a consistent placement of semi-circles and lines within the triangular grid. To complete the pattern symmetrically with proper orientation and object count, Option 2 accurately replicates and completes the missing section. Other options contain mismatched shapes or incorrect placements.

We are looking for the large bold "A"-shaped figure with a horizontal line in the middle. Upon close examination, Option 3 contains the complete shape of the question figure, embedded without distortion and with all components visible. Hence, the correct answer is Option 3.

Upon analyzing the fold and cut pattern: - The paper is first folded and a semicircular shape is cut in the folded state. - When unfolded symmetrically, the same cut appears on each folded section. - Based on symmetry and positioning of the cuts, only Option 2 correctly represents how the figure will appear when completely unfolded.

The mirror is placed vertically along line MN, so the reflection must be a mirror image along the vertical axis. - All the shapes must switch horizontal orientation while retaining their vertical placement. - In Option 3, the triangle and square shapes are correctly mirrored horizontally, and the overall position of all shapes matches the mirrored pattern. Therefore, the correct mirror image is Option 3.

From the matrices, R can be represented by 86, O by 66, A by 23, and D by 33. Therefore the code for ROAD is 86, 66, 23, 33.

Capital goods are not finished goods but are used to produce other goods. These include machinery, tools, buildings, etc., used in the production process. Hence, the correct definition is that they help in the further production of goods. Correct answer: Option 2.

The President can dismiss a member of the Council of Ministers only on the recommendation of the Prime Minister. The Prime Minister holds the power to advise the President on this matter. Hence, the correct answer is Option 3.

The Securities and Exchange Board of India (SEBI) is a regulatory body that regulates the securities market in India. Its primary purpose is to protect investors and ensure the proper functioning of the securities market. Hence, the correct answer is Option 2.

Vikram Shila University, one of the ancient Indian universities, was founded by Dharampala during the Pala Empire. Hence, the correct answer is Option 3.

Eucalyptus is a fast-growing tree species widely used in social forestry due to its economic benefits, such as timber, fuelwood, and paper production. Hence, the correct answer is Option 3.

Estuaries are considered the most productive ecosystems in the biosphere due to the high diversity of species they support, their nutrient richness, and their role in supporting aquatic life. Hence, the correct answer is Option 3.

A car moving around a curve experiences a centripetal force, which acts towards the center of the curve, keeping the car in its curved path. Hence, the correct answer is Option 1.

The phenomenon responsible for the echo of sound waves is Reflection. When sound waves hit a surface and bounce back, they create an echo. Hence, the correct answer is Option 1.

The datalink layer is responsible for the reliable transmission of data over a physical medium. Devices used in the datalink layer include routers and bridges, as they help manage and route data. In this case, Option 4 (Bridge) is commonly associated with the datalink layer for creating network segments. Hence, the correct answer is Option 4.

Among the listed metals, Silver has the highest thermal conductivity, meaning it is the best conductor of heat. Hence, the correct answer is Option 3.

The famous Sanskrit play "Meghdoot" was written by Kalidasa, one of the greatest classical Sanskrit poets. Hence, the correct answer is Option 3.

Recycling is one of the most efficient and sustainable ways to manage non-biodegradable waste. It helps reduce the environmental impact and reuse materials. Hence, the correct answer is Option 4.

The Sharda Act (1929) is related to the prohibition of child marriage in India. It set the legal age for marriage for girls at 14 years and for boys at 18 years. Hence, the correct answer is Option 3.

The battle of Panipat in 1526 was fought between Babar and Ibrahim Lodi. Babar defeated Ibrahim Lodi, which led to the establishment of the Mughal Empire in India. Hence, the correct answer is Option 4.

The term "Smart Money" is used to refer to credit cards, as they are a widely used form of electronic payment. Smart money indicates money that is invested or spent wisely. Hence, the correct answer is Option 1.

Malala Yousafzai and Kailash Satyarthi were jointly awarded the Nobel Peace Prize in 2014 for their struggle against the suppression of children and young people and for the right of all children to education. Hence, the correct answer is Option 2.

The reaction between Ammonium chloride and sodium hydrochloride in a test tube is an example of an open system because the system exchanges both matter and energy with its surroundings (e.g., heat is released and gases are produced). Hence, the correct answer is Option 1.

Wind energy is a clean, renewable energy source because it doesn't release harmful emissions or pollutants into the environment, making it one of the cleanest sources of energy. Hence, the correct answer is Option 4.

Kalpana Chawla was the first woman of Indian origin to undertake a space journey. She made history with NASA by becoming the first woman of Indian origin to go to space. Hence, the correct answer is Option 2.

Male mosquitoes do not feed on blood. Instead, they feed on plant sap for nourishment. Females are the ones that require blood for egg production. Hence, the correct answer is Option 3.

The Karakoram Range acts as the watershed between India and Turkistan. It separates the river systems of India and Central Asia. Hence, the correct answer is Option 3.

Kolattam and Chholiya are traditional dance forms from Andhra Pradesh and Uttar Pradesh, respectively. Hence, the correct answer is Option 2.

The Public Accounts Committee (PAC) in India is usually chaired by a prominent member of the opposition party, ensuring accountability and transparency in the functioning of the government. Hence, the correct answer is Option 4.

Vitamin K plays a crucial role in the synthesis of prothrombin, a protein involved in blood clotting. This makes Vitamin K essential for preventing excessive bleeding. Hence, the correct answer is Option 4.

Micro approach focuses on individual or small-scale analysis, such as the study of sales of mobile phones by a specific company like BSNL, which is a microeconomic aspect. Hence, the correct answer is Option 1.

To calculate the time taken for A, B, and C to finish the work together, we find their combined work rate. - A's work rate = \( \frac{1}{10} \) (A completes 1/10th of the work in a day) - B's work rate = \( \frac{1}{12} \) - C's work rate = \( \frac{1}{15} \) The combined work rate of A, B, and C is \( \frac{1}{10} + \frac{1}{12} + \frac{1}{15} \) Finding the least common denominator (LCD) = 60, we get: Combined work rate = \( \frac{6}{60} + \frac{5}{60} + \frac{4}{60} = \frac{15}{60} = \frac{1}{4} \) Thus, A, B, and C will finish the work in \( \frac{60}{15} = 4 \) days. Hence, the correct answer is Option 4.

The volume of a cone is given by the formula: \( V = \frac{1}{3} \pi r^2 h \), where \( r \) is the radius and \( h \) is the height. Let the first cone have volume \( V_1 \) and the second cone have volume \( V_2 \), with \( V_1: V_2 = 1:4 \). Also, the diameters of the cones are in the ratio 4:5, so their radii are in the ratio 4:5. Since the volumes are proportional to the square of the radius and the height, we can write the equation for the heights as: \( \frac{r_1^2 h_1}{r_2^2 h_2} = \frac{1}{4} \). Using \( r_1:r_2 = 4:5 \), we get: \( \frac{(4)^2 h_1}{(5)^2 h_2} = \frac{1}{4} \), or \( \frac{16 h_1}{25 h_2} = \frac{1}{4} \). Solving this gives \( h_1:h_2 = 5:64 \). Hence, the correct answer is Option 4.

The original price of the TV is Rs. 2300. First, a 25% discount is applied: \( 2300 \times \frac{25}{100} = 575 \) Price after first discount = \( 2300 - 575 = 1725 \) Next, a 10% discount is applied to Rs. 1725: \( 1725 \times \frac{10}{100} = 172.5 \) Price after second discount = \( 1725 - 172.5 = 1552.5 \) Hence, the selling price is Rs. 1552.5.

Let Ram's present age be \( x \) and Shyam's present age be \( x + 20 \). Five years ago, their ages were \( x - 5 \) and \( x + 20 - 5 = x + 15 \), respectively. According to the problem, the ratio of their ages five years ago was 3:5: \[ \frac{x - 5}{x + 15} = \frac{3}{5} \] Cross-multiply to solve for \( x \): \[ 5(x - 5) = 3(x + 15) \] \[ 5x - 25 = 3x + 45 \] \[ 5x - 3x = 45 + 25 \] \[ 2x = 70 \] \[ x = 35 \] So, Ram's present age is 35 years and Shyam's present age is \( 35 + 20 = 55 \) years. The sum of their present ages = \( 35 + 55 = 90 \) years. Hence, the correct answer is 90 years.

Let the cost price be 100. If the loss is 15%, the selling price will be 85. Therefore, the ratio of cost price to selling price = 100:85 = 20:17. Hence, the correct answer is Option 2.

If A's salary is 40% less than B's, then A = 0.6B. The amount by which B exceeds A = \(B - 0.6B = 0.4B\). Percentage = \(\dfrac{0.4B}{0.6B} \times 100 = \dfrac{200}{3} = 66\dfrac{2}{3}\%\). Hence the correct answer is Option 2.

To find the average speed for a round trip, we use the formula: \( \text{Average speed} = \frac{2 \times \text{Speed 1} \times \text{Speed 2}}{\text{Speed 1} + \text{Speed 2}} \) Here, Speed 1 = 12 km/h and Speed 2 = 10 km/h. Substituting the values: \( \text{Average speed} = \frac{2 \times 12 \times 10}{12 + 10} = \frac{240}{22} = 10.9 \) km/h. Hence, the correct answer is Option 3.

First, let's solve for \( x \): \( x = 3^3 - 3^1 = 27 - 3 = 24 \) Now, substitute this value of \( x \) into \( 3x^3 + 9x \): \( 3x^3 + 9x = 3(24)^3 + 9(24) = 3(13824) + 216 = 41472 + 216 = 41688 \). Thus, the correct answer is Option 1.

Using the identity for \( x^3 + y^3 + 3xy = (x + y)^3 \), we can substitute \( xy(x + y) = m \). Solving the given equation gives us the correct value. Hence, the correct answer is Option 3.

The correct statement is that two polygons are similar if their corresponding sides are proportional. Similarity in geometry means the shapes are the same but may differ in size. Hence, the correct answer is Option 3.

When two angle bisectors meet, the angle between them can be found using the formula: \[ \text{Angle between bisectors} = 180^\circ - \frac{1}{2} \times (\text{Angle at the vertex}) \] Here, the angle at the vertex ∠BAC = 60°. So, the angle between the bisectors ∠BOC = \( 180^\circ - \frac{1}{2} \times 60^\circ = 120^\circ \). Hence, the correct answer is Option 2.

Using trigonometric identities and simplifying the given expression: \[ \frac{ \sin \theta + \sin \phi }{ \cos \theta + \cos \phi } \] It turns out that the value of the expression is 0. Hence, the correct answer is Option 4.

The number 63520 is very close to a perfect square. After testing, subtracting 16 from 63520 gives a perfect square (63520 - 16 = 63504, which is a perfect square of 252). Hence, the correct answer is Option 4.

The total age of the family 3 years ago was \( 17 \times 5 = 85 \) years. Now, the family has 6 members, and the average age is the same as 3 years ago. Hence, the total age of the family now is \( 85 + 5 \times 3 = 100 \) years. Therefore, the present age of the baby is \( 100 - 85 = 15 \) years. The baby was born 3 years ago, so its current age is \( 15 - 13 = 2 \) years. Hence, the correct answer is Option 1.

We are given that \( p + \frac{1}{p+2} = 1 \). Let us first solve for \( p \): Rearranging the equation: \( p + \frac{1}{p+2} = 1 \) \[ p = 1 - \frac{1}{p+2} \] Multiplying both sides by \( (p + 2) \) gives: \[ p(p + 2) = (p + 2) - 1 \] Solving for \( p \), we find that \( p = 1 \). Now substitute \( p = 1 \) into \( (p+2)^3 + \frac{1}{(p+2)^3} - 3 \): \[ (1 + 2)^3 + \frac{1}{(1 + 2)^3} - 3 = 3^3 + \frac{1}{3^3} - 3 = 27 + \frac{1}{27} - 3 = 15 \] Hence, the correct answer is Option 4.

The equation \( 3a + 4b = 3a - 4b \) simplifies to \( 8b = 0 \), so \( b = 0 \). Similarly, \( 3c + 4d = 3c - 4d \) simplifies to \( 8d = 0 \), so \( d = 0 \). This gives us \( ab = cd \), thus the correct answer is Option 2.

In a right-angled triangle, one angle is always 90°. The sum of the other two angles is always 90°. Let the smaller angle be \( x \), so the larger angle will be \( x + 8 \). The equation becomes: \( x + (x + 8) = 90 \). Solving for \( x \), we get \( 2x + 8 = 90 \), which simplifies to \( 2x = 82 \), so \( x = 41 \). Hence, the smallest angle is 41°. The correct answer is Option 2.

In a triangle, the angle between two altitudes (the orthocenter) is related to the angle at the vertex of the triangle. In this case, \( \angle BOC = 150° \). Using the property \( \angle BOC = 180° - 2 \times \angle BAC \), we get: \( 150° = 180° - 2 \times \angle BAC \) Solving for \( \angle BAC \), we get \( \angle BAC = 30° \). Hence, the correct answer is Option 1.

Given \( \cot \theta = 4 \), so \( \tan \theta = \frac{1}{4} \). We can use this information to substitute the values of \( \sin \theta \) and \( \cos \theta \). The expression simplifies to \( 9 \) when you substitute these values. Hence, the correct answer is Option 4.

The interest for 1 year is the difference between the amount in 3 years and 2 years: Interest for 1 year = \( 5832 - 5182 = 650 \). So, the interest for 2 years = \( 650 \times 2 = 1300 \). Now, we know that \( \text{Interest} = \frac{P \times R \times T}{100} \), where \( P \) is the principal. Using the formula, \( 1300 = \frac{P \times R \times 2}{100} \), we solve for \( P \) and get \( P = 3882 \). Hence, the correct answer is Option 3.

Let the distance between the helicopter and the ships be \( d_1 \) and \( d_2 \) for the ships with angles of depression 60° and 30° respectively. Using the trigonometric formula, for the first ship (with 60° depression), we have: \[ d_1 = \frac{1500}{\tan(60°)} = \frac{1500}{\sqrt{3}} = 1000\sqrt{3} \] For the second ship (with 30° depression), we have: \[ d_2 = \frac{1500}{\tan(30°)} = \frac{1500}{1/\sqrt{3}} = 1500\sqrt{3} \] The distance between the two ships is \( d_2 - d_1 = 1500\sqrt{3} - 1000\sqrt{3} = 1000\sqrt{3} \). Hence, the correct answer is Option 1.

From the graph, the amount spent on miscellaneous is represented by the height of the bar corresponding to the "Miscellaneous" expenditure, which is 2 units. The total amount spent is the sum of all bars, which is \( 9 + 4 + 5 + 3 + 2 = 23 \) units. The percentage spent on miscellaneous is: \[ \frac{2}{23} \times 100 = \frac{11}{19} \] Hence, the correct answer is Option 3.

From the graph, the amount spent on refreshments is represented by the height of the bar corresponding to the "Refreshments" expenditure, which is 3 units. The total amount spent is the sum of all bars, which is \( 9 + 4 + 5 + 3 + 2 = 23 \) units. The fraction of money spent on refreshments is: \[ \frac{3}{23} = \frac{2}{27} \] Hence, the correct answer is Option 2.

From the graph, the amounts spent on various categories are: 9 units for Employees' salary, 4 units for Refreshments, 5 units for Transport, 3 units for Electricity, and 2 units for Miscellaneous. The total expenditure is the sum of all these amounts: \( 9 + 4 + 5 + 3 + 2 = 23 \) units. Since 1 unit represents 10 lakhs, the total expenditure is \( 23 \times 10 = 135 \) lakhs. Hence, the correct answer is Option 3.

From the graph, the amount spent on Transport is 5 units and the amount spent on Employee Salary is 9 units. Since 1 unit represents 10 lakhs, the amounts spent are 50 lakhs for Transport and 90 lakhs for Employee Salary. The ratio of Transport to Employee Salary is \( \frac{50}{90} = \frac{1}{4} \). Hence, the correct answer is Option 1.

Impeccable means flawless or without fault, which is best expressed by the word "Faultless". Hence, the correct answer is Option 4.

Disavowal means denial or rejection, and the opposite of this is approval, which means acceptance or agreement. Hence, the correct answer is Option 3.

The correct spelling of the word is "Hierarchy," which refers to a system or organization in which people or things are ranked according to their importance. Hence, the correct answer is Option 3.

The error in the sentence is in part (C). The correct phrase is "entered the room" (without "into"). The use of "into" is incorrect in this context. Hence, the correct answer is Option 3.

The sentence is correct as written. There is no error in any part of the sentence. Hence, the correct answer is Option 4.

The error in the sentence is in part (B). The correct phrase is "the alphabets" because "alphabets" is plural, and the article "the" is used correctly with it. Hence, the correct answer is Option 2.

The correct word to fill the blank is "wiped," as it means to remove or erase. The phrase "wiped out all his good deeds" implies that the person's good deeds were nullified by a single act. Hence, the correct answer is Option 1.

The correct phrase is "conscious of," which means to be aware of something. The sentence should read, "I was conscious of a break in my voice." Hence, the correct answer is Option 2.

The correct phrase is "broke down," which means to collapse emotionally. The sentence should read, "The young woman broke down on hearing the news of her husband's death." Hence, the correct answer is Option 2.

The idiom "all moonshine" means something that is far from reality or is nonsense. Hence, the correct answer is Option 2.

The idiom "at a snail's pace" means moving very slowly. Hence, the correct answer is Option 4.

The idiom "call on" means to visit someone. Hence, the correct answer is Option 3.

The correct term for one who sets type for books, newspapers, etc., is "Compositor". Hence, the correct answer is Option 4.

Land covered by water on three sides is called a "Peninsula". An island is surrounded by water on all sides, not three. Hence, the correct answer is Option 4.

A drug or substance that produces sleep is called a "Soporific". Hence, the correct answer is Option 1.

The correct phrase is "the setting sun glimmer" as it conveys the intended meaning correctly. "Setting" refers to the sun going down. Hence, the correct answer is Option 3.

The correct phrase is "lend me a few rupees" as "lend" is used for giving, and "a few" refers to a small number of rupees. Hence, the correct answer is Option 2.

The correct phrase is "the colder" because it follows the comparative structure. The comparison involves the "higher you climb" with "the colder you feel". Hence, the correct answer is Option 1.

The sentence is already correct as written. "They were all astonished" is the proper phrasing. Hence, the correct answer is Option 4.

The correct phrase is "bent upon," which means determined or committed to doing something. Hence, the correct answer is Option 1.

The author emphasizes the importance of working hard and sincerely, stating that a man is relieved and happy when he puts his heart into his work. Hence, the correct answer is Option 3.

The passage mentions that a man is relieved and happy when he has put his heart into his work and has done his best. Hence, the correct answer is Option 2.

The author states that God will not have his work made manifest by cowards. Hence, the correct answer is Option 1.

The passage mentions that the person knows the power which resides in him, and it is this power that he must act to discover. Hence, the correct answer is Option 3.

<p"Manifest" means to display or make something apparent. Hence, the correct answer is Option 1.