Mental Ability, Analytical and Logical Reasoning (UPSC) Part-VIII

Total Questions: 28

21. What will come in place of * in the sequence 3, 14, 39, 84, *, 258? [2024-II]

(a) 150
(b) 155
(c) 160
(d) 176

Correct Answer: (b) 155

Solution:

22. In some code, letters P, Q, R, S, T represent numbers, 4, 5, 10, 12, 15. It is not known which letter represents which number. If Q-S=2S and T=R+S+3, then what is the value of P + R-T? [2024-II]

(a) 1
(b) 2
(c) 3
(d) Cannot be determined due to insufficient data

Correct Answer: (b) 2

Solution:Q – S = 2s ⇒ Q = 3s

Possible Value of (S, Q) = (4,12) or (5,15)

Again, T = R + S + 3

(i) For, S = 4, Q = 12, T = R + 4 + 3 = R + 7

But equation T = R + 7 is not satisfied for given integer values.

(ii) For S = 5, Q = 15, T = R + 5 + 3 = R + 8

This is satisfied for R = 4 and T = 12

∴ (P, Q, R, S, T) = (10,15,4,5,12)

Now, P + R –T = 10 + 4 – 12 = 2

23. A Question is given followed by two Statements I and II. [2024-II]

Consider the Question and the Statements. P, Q, R and S appeared in a test

Question: Has P scored more marks than Q?

Statement-I

The sum of the marks scored by P and Q is equal to the sum of the marks scored by R and S.

Statement-II: The sum of the marks scored by P and S is more than the sum of the marks scored by Q and R.

Which one of the following is correct in respect of the above Question and the Statements?

(a) The Question can be answered by using one of the Statements alone, but cannot be answered using the other Statement alone
(b) The Question can be answered by using either Statement alone
(c) The Question can be answered by using both the Statements together, but cannot be answered using either Statement alone
(d) The Question cannot be answered even by using both the Statements together

Correct Answer: (d) The Question cannot be answered even by using both the Statements together

Solution:We can not answer the question, using both statement.

24. A person walks 100 m straight from his house, turns left and walks 100 m, again turns left and walks 300 m, then turns right and walks 100 m to reach his office. In which direction does he walk initially from his house if his office is exactly in the North-East direction? [2024-II]

(a) North-West
(b) West
(c) South
(d) South-West

Correct Answer: (c) South

Solution:Office is in North-East direction.

So, he initially walked in South direction.

25. A person walks 100 m Westward, then turns left and walks 100 m. He then takes 225° turn clockwise. In which direction is he walking now? [2024-II]

(a) South-West
(b) South-East
(c) Noth-West
(d) North-East

Correct Answer: (d) North-East

Solution:

26. A Statement is given followed by two Conclusions numbered I and II. Consider the Statement and the Conclusions. [2024-11] Statement: [2024-II]

Statement: India is the world's largest producer of milk

Conclusion-I:

India is the world's largest exporter of milk

Conclusion-II:

India does not import milk

Which one of the following is correct?

(a) Only Conclusion-I follows
(b) Only Conclusion-II follows
(c) Both Conclusion-I and Conclusion-II follow
(d) Neither Conclusion-1 nor Conclusion-II follows

Correct Answer: (d) Neither Conclusion-1 nor Conclusion-II follows

Solution:Here information regarding the demand and consumption for milk in India. And also we don't know if there is any other major exporter. Hence Conclusion-Icant follow. Conclusion-II cant follow simply because the information regarding whether production is satisfying the domestic demand is absent. If it is not then we may have to import. So Conclusion-I also does not follow.

27. A Question is given followed by two Statements I and II. Consider the Question and the Statements. [2024-II]

What is the time required to download the software?

Statement-I:

The size of the software is 12 megabytes

Statement-II:

The transfer rate is 2.4 kilobytes per second.

Which one of the following is correct in respect of the above Question and the Statements?

(a) The Question can be answered by using one of the Statements alone, but cannot be answered using the other Statement alone
(b) The Question can be answered by using either Statement alone
(c) The Question can be answered by using both the Statements together, but cannot be answered using either Statement alone
(d) The Question cannot be answered even by using both the Statements together

Correct Answer: (c) The Question can be answered by using both the Statements together, but cannot be answered using either Statement alone

Solution:From I and II, we have

12 × 1024/2.4 = 5120 sec

28. What is the sum of the first 28 terms in the following sequence? [2024-II]

1, 1, 2, 1, 3, 2, 1, 4, 3, 2, 1, 5, 4, 3, 2, .....

(a) 83
(b) 84
(c) 85
(d) 86

Correct Answer: (b) 84

Solution:(1,1), (2,1), (3,2,1) (4,3,2,1), (5,4,3,2,1), (6,5,4,3,2,1), (7,6,5,4,3,2)

Sum = 2 + 3 + 6 + 10 + (15) + 21 + 27 = 84

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