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

Total Questions: 50

31. What is the value of X in the sequence [2022-II]

20. 10. 10. 15. 30. 75. X?

(a) 105
(b) 120
(c) 150
(d) 225

Correct Answer: (d) 225

Solution:

∴ X = 225

32. Which date of June 2099 among the following is Sunday? [2022-II]

(a) 4
(b) 5
(c) 6
(d) 7

Correct Answer: (d) 7

Solution:

In June 2022, 1st Sunday falls on 5th June. Calendar year repeated with interval
+11, +11, +6 year.
So 2022 is same as 2033 = (2022 + 11),
2039 = (2033 + 6),
2050 = (2039 + 11),
2061 = (2050 + 11),
2067 = (2061 + 6),
2078 = (2067 + 11),
2089 = (2078 + 11),
2095 = (2089 + 6)

i.e. 5th June 2095 will be Sunday.
Number of odd days between 5th June 2095 and 5th June 2099 = 2 + 1 + 1 + 1 = 5 days
∴ 5th June 2099 will be Friday (Sunday + 5 days)
Hence, 7th June 2099 will be Sunday and also first Sunday of the month June.

33. If the order of the letters in the English alphabet is reversed and each letter represents the letter whose position it occupies, then which one of the following represents 'LUCKNOW'? [2022-II]

(a) OGXPMLD
(b) OGXQMLE
(c) OFXPMLD
(d) OFXPMLD

Correct Answer: (d) OFXPMLD

Solution:

Letter's position in reverse english alphabet

Hence, correct code is OFXPMLD

34. Consider the Question and two Statements given below: [2022-II]

Question: Is Z brother of X?
Statement-1: X is a brother of Y and Y is a brother of Z.
Statement-2: X, Y and Z are siblings.
Which one of the following is correct in respect of the Question and the Statements?

(a) Statement-1 alone is sufficient to answer the Question
(b) Statement-2 alone is sufficient to answer the Question
(c) Both Statement-1 and Statement-2 are sufficient to answer the Question
(d) Both Statement-1 and Statement-2 are not sufficient to answer the Question

Correct Answer: (d) Both Statement-1 and Statement-2 are not sufficient to answer the Question

Solution:From statement 1 and 2 gender of x and y are known but 'z' may be male or female.
Hence, we cannot find the exact answer.

35. In the series AABABCABCDEABCDBABCDE which letter appears at the 100th place? [2022-II]

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

Correct Answer: (c) I

Solution:Given series is
(A), (AB), (ABC), (ABCD), (ABCDE)...
Here, number of letters in group

1st = 1, 2nd = 2, 3rd = 3, 4th = 4
Sum of letters up to 13th group.

= 1 + 2 + 3 + .... + 13 = 13(13+1)/2
= 91
∴ 100th letter = 100 - 91 = 9th letter of alphabet i.e. I

36. Three persons A, B and C are standing in a queue not necessarily in the same order. There are 4 persons between A and B, and 7 persons between B and C. If there are 11 persons ahead of C and 13 behind A, what could be the minimum number of persons in the queue? [2022-II]

(a) 22
(b) 28
(c) 32
(d) 38

Correct Answer: (a) 22

Solution:For minimum number of persons, we can find the following queue.
3 persons + B |||| A || C + 10 persons
Hence, total number of persons in the queue = 3 + 9 + 10 = 22

37. P, Q, R, S, T and U are six members of a family. R is the spouse of Q. U is the mother of T and S is the daughter of U. P’s daughter is T and R’s son is P. There are two couples in the family. Which one of the following is correct? [2022-II]

(a) Q is the grandfather of T
(b) Q is the grandmother of T
(c) R is the mother of P
(d) T is the granddaughter of Q

Correct Answer: (d) T is the granddaughter of Q

Solution:

Hence, T is the grand-daughter of Q.

38. Consider the Question and two Statements given below in respect of three cities P, Q and R in a State: [2022-II]

Question: How far is city P from city Q?
Statement-1: City Q is 18 km from city R.
Statement-2: City P is 43 km from city R.
Which one of the following is correct in respect of the Question and the Statements?

(a) Statement-1 alone is sufficient to answer the Question
(b) Statement-2 alone is sufficient to answer the Question
(c) Both Statement-1 and Statement-2 are sufficient to answer the Question
(d) Both Statement-1 and Statement-2 are not sufficient to answer the Question

Correct Answer: (d) Both Statement-1 and Statement-2 are not sufficient to answer the Question

Solution:To find the exact distance between two cities we should have both distance and direction between two objects.
Here both statements gives about distance but not about direction.
Hence, both Statement 1 and 2 are not sufficient to give the answer.

39. Two Statements followed by four Conclusions are given below. You have to take the Statements to be true even if they seem to be at variance from the commonly known facts. Read all the Conclusions and then decide which of the given Conclusions logically follows/follow from the Statements, disregarding the commonly known facts: [2022-II]

Statement-1: All pens are books.
Statement-2: No chair is a pen.
Conclusion-I: All chairs are books.
Conclusion-II: Some chairs are pens.
Conclusion-III: All books are chairs.
Conclusion-IV: No chair is a book.

Which one of the following is correct?

(a) Only Conclusion-I
(b) Only Conclusion-II
(c) Both Conclusion-III and Conclusion-IV
(d) None of the Conclusions follows

Correct Answer: (d) None of the Conclusions follows

Solution:

40. Three Statements followed by three Conclusions are given below. You have to take the Statements to be true even if they seem to be at variance from the commonly known facts. Read all the Conclusions and then decide which of the given Conclusions logically follows/follow from the Statements, disregarding the commonly known facts: [2022-II]

Statement-1: Some doctors are teachers.
Statement-2: All teachers are engineers.
Statement-3: All engineers are scientists.

Conclusion-I: Some scientists are doctors.
Conclusion-II: All engineers are doctors.
Conclusion-III: Some engineers are doctors.

Which one of the following is correct?

(a) Only Conclusion-I
(b) Only Conclusion-II
(c) Both Conclusion-I and Conclusion-III
(d) Both Conclusion-I and Conclusion-II

Correct Answer: (c) Both Conclusion-I and Conclusion-III

Solution:Conclusion I : some scientists are doctors.

Conclusion II : some Engineers are doctors.

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

31. What is the value of X in the sequence [2022-II]

32. Which date of June 2099 among the following is Sunday? [2022-II]

33. If the order of the letters in the English alphabet is reversed and each letter represents the letter whose position it occupies, then which one of the following represents 'LUCKNOW'? [2022-II]

34. Consider the Question and two Statements given below: [2022-II]

35. In the series AABABCABCDEABCDBABCDE which letter appears at the 100th place? [2022-II]

36. Three persons A, B and C are standing in a queue not necessarily in the same order. There are 4 persons between A and B, and 7 persons between B and C. If there are 11 persons ahead of C and 13 behind A, what could be the minimum number of persons in the queue? [2022-II]

37. P, Q, R, S, T and U are six members of a family. R is the spouse of Q. U is the mother of T and S is the daughter of U. P’s daughter is T and R’s son is P. There are two couples in the family. Which one of the following is correct? [2022-II]

38. Consider the Question and two Statements given below in respect of three cities P, Q and R in a State: [2022-II]

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