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

Total Questions: 50

21. Joseph visits the club on every 5th day, Harsh visits on every 24th day, while Sumit visits on every 9th day. If all three of them met at the club on a Sunday, then on which day will all three of them meet again? [2021-II]

(a) Monday
(b) Wednesday
(c) Thursday
(d) Sunday

Correct Answer: (b) Wednesday

Solution:L.C.M. of 5, 9 and 24 = 360
They meet after 360 days
Hence, they meet together on Wednesday

22. In the series b_a_b_a_b abab_aab; fill in the six blanks ( _ ) using one of the following given four choices such that the series follows a specific order. [2021-II]

(a) bababa
(b) baabba
(c) bbaabb
(d) ababab

Correct Answer: (d) ababab

Solution:Then series is

Pattern of the series abbaab; abbaab

23. In a code language 'MATHEMATICS' is written as 'LBSIDNZUHDR'. How is 'CHEMISTRY' written in that code language? [2021-II]

(a) DIDLHRSSX
(b) BIDNHTSSX
(c) BIDLHTSSX
(d) DGFLIRUQZ

Correct Answer: (b) BIDNHTSSX

Solution:

24. At which one of the following times, do the hour hand and the minute hand of the clock make an angle of 180° with each other? [2021-II]

(a) At 7:00 hours
(b) Between 7:00 hours and 7:05 hours
(c) Between 7:05 hours
(d) Between 7:05 hours and 7:10 hours

Correct Answer: (d) Between 7:05 hours and 7:10 hours

Solution:Between 7:05 hours and 7:10 hours, the angle formed is 180 i.e., a straight angle formed between both the hands.

25. Consider the following Table: [2021-II]

Player	Runs scored in the First Innings	Balls faced in the First Innings	Runs scored in the Second Innings	Balls faced in the Second Innings
A	61	99	14	76
B	05	12	50	85
C	15	75	20	50
D	13	55	12	50

Who is the fastest run scorer in the Test Match?

(a) A
(b) B
(c) C
(d) D

Correct Answer: (b) B

Solution:Fastest runs scored by B
= 5 + 50 = 55
Total balls faced = 97

26. Half of the villagers of a certain village have their own houses. One-fifth of the villagers cultivate paddy. One-third of the villagers are literate. Four-fifth of the villagers are under 25 years of age. Which one of the following statements is certainly correct? [2021-II]

(a) All the villagers who have their own houses are literate.
(b) Some villagers under 25 years of age are literate.
(c) Only half of the villagers who cultivate paddy are literate.
(d) No villager under 25 years of age has his own house.

Correct Answer: (b) Some villagers under 25 years of age are literate.

Solution:Let total villagers = 30
own houses = ½ × 30 = 15
cultivate paddy = 1/5 × 30 = 6
literate = 1/3 × 30 = 10
under 25 years of age = 4/5 × 30 = 24
Some villagers under 25 years of age are literate

27. Consider two Statements and a Question: [2021-II]

Statement-1: The last day of the month is a Wednesday.
Statement-2: The third Saturday of the month was the seventeenth day.
Question: What day is the fourteenth of the given month?
Which one of the following is correct in respect of the Statements and the Question?

(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 required to answer the Question
(d) Neither Statement-1 nor Statement-2 alone is sufficient to answer the Question

Correct Answer: (b) Statement-2 alone is sufficient to answer the Question

Solution:17th day = Saturday
14th day = Wednesday
Only statement 2 is sufficient

28. Which day is 10th October, 2027? [2021-II]

(a) Sunday
(b) Monday
(c) Tuesday
(d) Saturday

Correct Answer: (a) Sunday

Solution:No. of odd days in 2021
365 ÷ 7 = 1 odd day

1 odd day mean Sunday on 10th October
2022 = Monday
2023 = Tuesday
2024 = Thursday
2025 = Friday
2026 = Saturday
2027 = Sunday

29. Consider two Statements and four Conclusions given below. [2021-II]

You have to take the Statements to be true even if they seem to be at variance from the commonly known facts. Read all Conclusions and then decide which of the given Conclusion(s) logically follows/follow from the Statements, disregarding the commonly known facts.

Statement-1: Some greens are blues.
Statement-2: Some blues are blacks.
Conclusion-1: Some greens are blacks.
Conclusion-2: No green is black.
Conclusion-3: All greens are blacks.
Conclusion-4: All blacks are greens.

Which one of the following is correct?

(a) Conclusion-1 and Conclusion-2 only
(b) Conclusion-2 and Conclusion-3 only
(c) Conclusion-3 and Conclusion-4 only
(d) Neither Conclusion 1 nor 2 nor 3 nor 4

Correct Answer: (d) Neither Conclusion 1 nor 2 nor 3 nor 4

Solution:

neither conclusion 1 nor 2 3 nor 4 follows.

30. What is the value of X in the sequence [2021-II]

2, 7, 22, 67, 202, X, 1822?

(a) 603
(b) 605
(c) 607
(d) 608

Correct Answer: (c) 607

Solution:2 × 3 + 1 = 7
7 × 3 + 1 = 22
22 × 3 + 1 = 67
67 × 3 + 1 = 202
202 × 3 + 1 = 607 = X
607 × 3 + 1 = 1822

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