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

Total Questions: 50

31. What is X in the sequence [2019-II]

4, 196, 16, 144, 36, 100, 64, X?

(a) 48
(b) 64
(c) 125
(d) 256

Correct Answer: (b) 64

Solution:

This is double series sequence, here one series is increasing and other series is decreasing.

32. Consider the following sequence that follow some arrangement: [2019-II]

c _a c c a a _ aa _ bc _b

The letters that appear in the gaps are

(a) abba
(b) cbbb
(c) bbbb
(d) cccc

Correct Answer: (b) cbbb

Solution:The series is ccacc, aabaa, bbcbb

33. 'A' started from his house and walked 20 m towards East, where his friend 'B' joined him. They together walked 10 m in the same direction. Then 'A' turned left while 'B' turned right and travelled 2 m and 8 m respectively. Again 'B' turned left to travel 4 m followed by 5 m to his right to reach his office. A' turned right and travelled 12 m to reach his office. What is the shortest distance between the two offices? [2019-II]

(a) 15 m
(b) 17 m
(c) 19 m
(d) 20 m

Correct Answer: (b) 17 m

Solution:Shortest distance between A and B.

34. Consider two statements S1 and S2 followed by a question: [2019-II]

$1: p and q both are prime numbers.

S2: pq is an odd integer.

Question: Is pq an odd integer?

Which one of the following is correct?

(a) S1 alone is sufficient to answer the question
(b) S2 alone is sufficient to answer the question
(c) Both S1 and S2 taken together are not sufficient to answer the question
(d) Both S1 and S2 are necessary to answer the question

Correct Answer: (b) S2 alone is sufficient to answer the question

Solution:From statement S2, (p + q) is an odd integers. i.e., p and q are not either even or odd simultaneously. so, p and q are even and odd respectively and vice-versa. Hence, p.q is always odd is incorrect. p.q is always even.

35. Which year has the same calendar as that of 2009? [2019-II]

(a) 2018
(b) 2017
(c) 2016
(d) 2015

Correct Answer: (d) 2015

Solution:Number of odd days in a non Leap year = 1.
Numbe of odd days in a Leap year = 2.
Two year have same calender when number of odd days between two years is 7.

Between 2009 and 2015:

Number of non-leap year = 5 = 5 odd days

Number of Leap year = 1 = 2 odd days
Hence, 2015 have same calendar as 2009.

36. Mr. 'X' has three children. The birthday of the first child falls on the 5th Monday of April, that of the second one falls on the 5th Thursday of November. On which day is the birthday of his third child, which falls on 20th December? [2019-II]

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

Correct Answer: (b) Thursday

Solution:5th monday of April will fall on 29th or 30th April.

again 5th thursday of November will fall on 29th or 30th November.

When 29th April is Monday.

then, Number of days between 29th April and 29th November = 214 days

= 30 weeks + 4 days.

thus 29th of November would be Friday.

But 29th November is thursday, hence, 30th April is Monday. Now, Number of days between 29th November and 20th december 21 days. = 3 weeks
Hence, 20th december is Thursday.

37. Consider the following Statements and Conclusions: [2019-II]

Statements: 1. Some rats are cats.

2. Some cats are dog.

3. No dog is a cow.

Conclusions:

I. No cow is a cat.

II. No dog is a rat. Some cats are rats.

Which of the above conclusions is/are drawn from the statements?

(a) I, II and III
(b) Only I and II
(c) Only III
(d) Only II and III

Correct Answer: (c) Only III

Solution:

Hence, some cats are rats is only conclusion that follows.

38. A five-storeyed building with floors from I to V is painted using four different colours and only one colour is used to paint a floor. Consider the following statements: [2019-II]

1. The middle three floors are painted in different colours.

2. The second (II) and the fourth (IV) floors are painted in different colours.

3. The first (I) and the fifth (V) floors are painted red.

To ensure that any two consecutive floors have different colours

(a) Only statement 2 is sufficient
(b) Only statement 3 is sufficient
(c) Statement 1 is not sufficient, but statement 1 along with statement 2 is sufficient
(d) Statement 3 is not sufficient, but statement 3 along with statement 2 is sufficient

Correct Answer: (b) Only statement 3 is sufficient

Solution:From statement (3), floor Floor 1 and 5 are painted by the same colour red. 4 Then, middle three floor 2, 3 and 4 must be painted in remaining three different colours. In that way, we get that any two consticutive floor have different colours.

39. P, Q and R are three towns. The distance between P and Q is 60 km, whereas the distance between P and R is 80 km. Q is in the West of P and R is in the South of P. What is the distance between Q and R? [2019-II]

(a) 140 km
(b) 130 km
(c) 110 km
(d) 100 km

Correct Answer: (d) 100 km

Solution:Distance between city Q and city R =

40. In a school, 60% students play cricket. A student who does not play cricket, plays football. Every football player has got a two-wheeler. Which of the following conclusions cannot be drawn from the above data? [2019-II]

1. 60% of the students do not have two-wheelers.

2. No cricketer has a two-wheeler.

3. Cricket players do not play football.

Select the correct answer using the code given below:

(a) 1 and 2 only
(b) 2 and 3 only
(c) 1 and 3 only
(d) 1, 2 and 3

Correct Answer: (d) 1, 2 and 3

Solution:Every football player has got a two-wheeler does not mean that no cricketer has a two-wheeler.
So, we can not find the exact number of students do not have two-wheelers. Again, Any Cricket player can also play Football. Hence, conclusion (1), (2) and (3) Can not be drawn from the data.

« Previous 1 2 345 Next »