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

Total Questions: 28

1. Consider the following including the Question and the Statements: [2013-II]

There are 5 members A, B, C, D, E in a family.

Question: What is the relation of E to B?

Statement-1: A and B are a married couple.

Statement-2 D is the father of C.

Statement-3: E is D's son.

Statement-4: A and C are sisters.

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

(a) Statement -1, Statement -2 and statement-3 are sufficient to answer the queston.
(b) Statement 1, and Statement -3 and Statement -4 are sufficient to answer the question.
(c) All four statements together are sufficient to answer the question.
(d) All four statements are not sufficient to answer the question.

Correct Answer: (c) All four statements together are sufficient to answer the question.

Solution:From all statements, together

Hence from all statements together, we get E is the Brother-in-law of B.

2. Choose the group which is different from the others: [2013-II]

(a) 17, 37, 47, 97
(b) 31, 41, 53, 67
(c) 71, 73, 79, 83
(d) 83, 89, 91, 97

Correct Answer: (d) 83, 89, 91, 97

Solution:In option (d) 91 is only number which is not prime, remaining other numbers are group of prime number.

3. If today is Sunday, then which day is it exactly on 10th day? [2013-II]

(a) Wednesday
(b) Thursday
(c) Friday
(d) Saturday

Correct Answer: (a) Wednesday

Solution:10^{10th day = 10000000000th day.

=1428571428 weeks + 4 days}

^{So, if today is sunday, then 1010th day will be Sunday + (4-1) days i.e. Wednesday.}

4. What is the middle term of the sequence [2013-II]

Z.Z, Y, Y, Y, X, X, X, X, W, W, W, W, W,.., Α?

(a) H
(b) I
(c) J
(d) M

Correct Answer: (b) I

Solution:Total number of terms =2+3+4+ ............ +25 + 26 + 27

26/2[2+27]=377

∴ Middle Term = (377 - 1/2) + 1 = 188 + 1= 189^th

Now,

As I is 18^th term in reverse english alphabet

Sum of 18 terms in the series: 2+3+4+5 ............19 = 18/2 [2+19] = 189

Hence, I is the 189th term or middle term.

5. There are large number of silver coins weighing 2 gm, 5 gm, 10 gm, 25 gm, 50 gm each. Consider the following statements: [2013-II]

1. To buy 78 gm of coins one must buy at least 7 coins.

2. To weigh 78 gm using these coins one can use less than 7 coins.

Which of the statements given above is/are correct?

(a) 1 only
(b) 2 only
(c) Both 1 and 2
(d) Neither 1 nor 2

Correct Answer: (c) Both 1 and 2

Solution:Number of ways to get 78gm of coins.

We need atleast 7 coins to buy 78 gm of silver.

6. Consider the following: [2013-II]

I. A + B means A is neither smaller nor equal to B.

II. A - B means A is not greater than B.

III. AB means A is not smaller than B.

IV. A / B means A is neither greater nor equal to B.

Statement: P × Q, P - T, T / R ,R ± S

Conclusion-1: Q ± T

Conclusion-2: S + Q

Which one of the following is correct in respect of the above Statement and the Conclusions ?

(a) Only Conclusion-1 follows from the Statement.
(b) Only Conclusion-2 follows from the Statement.
(c) Both Conclusion-1 and Conclusion-2 follow from the Statement.
(d) Neither Conclusion-1 nor Conclusion-2 follows from the Statement.

Correct Answer: (b) Only Conclusion-2 follows from the Statement.

Solution:

Q × P- T ÷ R + S

⇒ Q < P < × T < R = S

⇒ S > Q

Hence, only conclusion 2 follow

7. Consider the sequence [2013-II]

ABC_ _ABC _ _DABBCD_ _ABCD

that follows a certain pattern.

Which one of the following completes the sequence ?

(a) DACB
(b) CDAB
(c) DCCA
(d) DDCA

Correct Answer: (d) DDCA

Solution:The pattern is ABCDD, ABCCD, ABBCD, AABCD Hence, correct option is (d) DDCA.

8. Consider the following statements in respect of five candidates P, Q, R, S and T. Two statements are true and one statement is false. [2013-II]

True Statement: One of P and Q was selected for the job.

False Statement: At least one of R and S was selected for the job.

True Statement: At most two of R. S and T were selected for the job.

Which of the following conclusions can be drawn ?

1. At least four were selected for the job.

2. S was selected for the job.

Select the correct answer using the code given below:

(a) 1 only
(b) 2 only
(c) Both 1 and 2
(d) Neither 1 nor 2

Correct Answer: (d) Neither 1 nor 2

Solution:True statement : One of P and Q are selected. Either P or Q are selected.
False statement: Atleast one of R and S was selected. Hence, it would have been true statement, if none of R and S were selected. True statement : At most two of R, S and T were selected i.e. either none of them were selected or only 'T' was selected. Hence, both conclusions are false.

9. Let P, Q, R, S and T be five statements such that: [2013-II]

I. If P is true, then both Q and S are true.

II. If R and S are true, then T is false.

Which of the following can be concluded?

1. If T is true, then at least one of P and R must be false.

2. If Q is true, then P is true.

Select the correct anser using the code given below:

(a) 1 only
(b) 2 only
(c) Both 1 and 2
(d) Neither 1 nor 2

Correct Answer: (a) 1 only

Solution:

⇒ P = Q ∩ S

i.e. If p is true, then Q and S both are true.

⇒ R ∩ S = X

⇒ T = X

i.e. R and S are true, when T is false.

Hence, T is true, then atleast one of P and R must be false.

10. The letters of the word "INCOMPREHENSIBILITIES" are arranged alphabetically in reverse order. How many positions of the letter/letters will remain unchanged? [2013-II]

(a) None
(b) One
(c) Two
(d) Three

Correct Answer: (c) Two

Solution:

∴ Position of two I's are remains same

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

1. Consider the following including the Question and the Statements: [2013-II]

2. Choose the group which is different from the others: [2013-II]

3. If today is Sunday, then which day is it exactly on 10th day? [2013-II]

4. What is the middle term of the sequence [2013-II]

5. There are large number of silver coins weighing 2 gm, 5 gm, 10 gm, 25 gm, 50 gm each. Consider the following statements: [2013-II]

6. Consider the following: [2013-II]

7. Consider the sequence [2013-II]

8. Consider the following statements in respect of five candidates P, Q, R, S and T. Two statements are true and one statement is false. [2013-II]

9. Let P, Q, R, S and T be five statements such that: [2013-II]

10. The letters of the word "INCOMPREHENSIBILITIES" are arranged alphabetically in reverse order. How many positions of the letter/letters will remain unchanged? [2013-II]

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