Your Answer : (Not Answered)

Correct Answer : C

The average age will be 56 years.

With no one leaving or joining, every one of the 16 professors is four years older, so the total age rises by \(16 \times 4 = 64\) years and the average rises by exactly 4 years: \(52 + 4 = 56\).

The size of the group does not matter: when every member ages by the same amount, the average ages by that amount too.

68 years adds 16 (the number of professors) instead of 4, and 58 years adds 6. 'None of these' is wrong because 56 is offered.

Your Answer : (Not Answered)

Correct Answer : D

The minimum number of colors is 2.

The corners and edges of a cube form a bipartite graph: every edge joins corners whose positions differ in exactly one coordinate. Colour a, d, h and f with one colour and b, c, e and g with the other. Then every edge (a-b, b-d, d-c, c-a on top; e-h, h-g, g-f, f-e at the bottom; and the verticals a-e, b-h, d-g, c-f) joins two different colours.

At least two colours are needed, since any edge has two ends that must differ, so 2 is the minimum. 3, 4 and 8 colours are all possible but not minimal; 8 would give every corner its own colour.

Your Answer : (Not Answered)

Correct Answer : B

The difference is 2 hours.

A pie chart for one day represents 24 hours by 360°, so each degree is 24/360 = 1/15 hour. Sleep has 120° and school 90°:

\[ \begin{aligned} &(120^{\circ} - 90^{\circ}) \times \frac{24}{360} \\ &= 30 \times \frac{1}{15} = 2 \end{aligned} \]

Sleep is 8 hours and school 6 hours. Four hours is the time for play or homework (60°), not the difference asked for; 3 hours would need a gap of 45°, and 1½ hours a gap of 22.5°.

Your Answer : (Not Answered)

Correct Answer : A

Write each term as a power of ten less one.

\[ (100-1) + (1000-1) + (10{,}000-1) + (100{,}000-1) \]

\[ = 111{,}100 - 4 = 111{,}096 \]

Your Answer : (Not Answered)

Correct Answer : B

Both objects are on the same side, so their distances subtract rather than add. Angles of depression from the top equal the angles of elevation from the ground.

\[ d_{45} = \frac{600}{\tan 45^{\circ}} = 600 \text{ m} \]

\[ d_{60} = \frac{600}{\tan 60^{\circ}} = \frac{600}{\sqrt{3}} = 200\sqrt{3} = 346.4 \text{ m} \]

\[ \text{separation} = 600 - 346.4 = 253.6 \approx 254 \text{ m} \]

The steeper angle belongs to the nearer object. Adding the two distances would be correct only for objects on opposite sides.

Your Answer : (Not Answered)

Correct Answer : A

Correct answer: ₹80

The banker’s gain is the simple interest on the true discount: \[ \text{BG} = \frac{\text{TD} \times R \times T}{100}. \] Here \( R = 5 \) and \( T = 2 \), so \( RT = 10 \) and \[ 8 = \frac{\text{TD} \times 10}{100} = 0.1\,\text{TD} \;\Rightarrow\; \text{TD} = 80. \] The whole set follows from that. The present worth is \( \text{TD}^{2}/\text{BG} = 6400/8 = 800 \); the face value is \( 800 + 80 = 880 \); and the banker’s discount is \( 80 + 8 = 88 \). Note the geometric progression: PW, TD and BG stand as 800, 80, 8 - each a tenth of the previous, the ratio being \( RT/100 = 0.1 \). Recognising that pattern often gives the answer without any algebra at all. The distractor 88 is the banker’s discount, offered to catch the confusion between the two.

Your Answer : (Not Answered)

Correct Answer : D

\[ \text{PW} = 1760 - 160 = \text{Rs. } 1600 \]

\[ 160 = \frac{1600 \times 12 \times T}{100} = 192\,T \]

\[ T = \frac{160}{192} = \frac{5}{6} \text{ year} = 10 \text{ months} \]

The interest runs on the Rs. 1600 present worth, not the Rs. 1760 face value; using the latter would give about 9 months.

Your Answer : (Not Answered)

Correct Answer : C

Let the required number days be x.

Less spiders, More days (Indirect Proportion)

Less webs, Less days (Direct Proportion)

 Spiders1:7Webs7:1⋮⋮ 7:x 

=> 1 * 7 * x = 7 * 1 * 7 

=> x= 7

Your Answer : (Not Answered)

Correct Answer : A

Only assumption I is implicit.

Nobody warns against doing something that cannot be done, so a notice forbidding photocopying without permission assumes that the book can be photocopied. Assumption I is implicit.

The notice is a polite request ('Please do not ...') and mentions no penalty, so it does not assume that violators will be punished. Assumption II reads more into the words than they say.

Your Answer : (Not Answered)

Correct Answer : A

The statement indirectly asserts that the decision makers can work effectively to eliminate poverty, only if they get to know the basic problems afflicting the poor people through interaction with them. So, only I follows.

Your Answer : (Not Answered)

Correct Answer : A

Correct answer: Both A and R are true and R is the correct explanation of A.

Black money circulates outside the tax and banking system and adds to the demand chasing goods without adding to their supply, which pushes prices up. Failure to check its growth therefore feeds inflation directly. Both are true and R explains A.

Your Answer : (Not Answered)

Correct Answer : B

T is a female teacher with blue dress.
T married a lawyer. Now, P is an engineer and Q is a doctor. Clearly, T married R.
R is, thus, a male lawyer with brown dress.
One couple is RT. So, the other couple is PQ
P is a male engineer and has the same dress as R i.e., brown
Q is a female doctor and has the same dress as T i.e., blue.
S is the sister of P. S is a female engineer. Now, U remains. Since there are two lawyers, so U is a lawyer.
Both S and U have either black or green dress.

Q, S and T are female members.

Your Answer : (Not Answered)

Correct Answer : C

RAIL is written as 8247.

Each letter has its own digit, in the same position. From RISE = 8419 and MEAL = 5927:

\[ \begin{aligned} R &= 8,\ I = 4,\ S = 1,\ E = 9 \\ M &= 5,\ A = 2,\ L = 7 \end{aligned} \]

E is 9 in both words, which confirms the letter-by-letter rule. So RAIL is R, A, I, L = 8, 2, 4, 7, that is 8247.

8429 swaps A and I and ends in E's digit, 8124 uses S's digit for A, and 8412 puts the digits in the wrong order.

Your Answer : (Not Answered)

Correct Answer : B

Correct answer: 46

After the exchange Ajay stands where Rahul stood, and he is then 28th from the bottom - so Rahul’s place was 28th from the bottom and 19th from the top: \[ 28 + 19 - 1 = \mathbf{46} \]

Your Answer : (Not Answered)

Correct Answer : D

S is sitting next to P. So, the order S, P or P, S is followed. K is sitting next to R. So, the order R, K is followed because R is on the extreme left. T is not next to P or K. So, the arrangement will be R, K, P, S, T. Clearly, P and T are sitting adjacent to S.

Your Answer : (Not Answered)

Correct Answer : D

The vitamins that are not fat soluble are the B vitamins.

Vitamins fall into two groups. The fat-soluble vitamins, A, D, E and K, dissolve in fats, are absorbed with dietary fat and can be stored in the liver and fatty tissue. The water-soluble vitamins, the B complex and vitamin C, dissolve in water, are not stored to any great extent and are lost in urine, so they are needed regularly.

A, D and K are all in the fat-soluble group, so they are the wrong choices.

Your Answer : (Not Answered)

Correct Answer : A

Henri Becquerel discovered radioactivity.

In 1896 he found that uranium salts fogged a photographic plate wrapped in black paper, without any exposure to light, so the radiation came from the element itself. He shared the 1903 Nobel Prize with the Curies.

Your Answer : (Not Answered)

Correct Answer : C

Satyajit Ray was the first.

He received the honorary Academy Award for lifetime achievement in 1992, accepting it from his hospital bed in Calcutta weeks before his death. The citation praised his rare mastery of the art of motion pictures.

Your Answer : (Not Answered)

Correct Answer : B

Horlicks is a brand name.

A brand identifies a particular seller's product and distinguishes it from rivals; when registered it becomes a trademark. The company is a separate thing from the brand, and one company may own many brands.

Your Answer : (Not Answered)

Correct Answer : C

The subcontinent belongs to the monsoon natural region.

Its defining feature is the seasonal reversal of wind: moist south-westerlies from June to September bringing almost all the rain, and dry north-easterlies for the rest of the year. The pattern arises from the differential heating of the Asian landmass and the Indian Ocean.