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Test: Mental Ability, Analytical & Logical Reasoning - 1 (2019-2019) - UPSC MCQ


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20 Questions MCQ Test - Test: Mental Ability, Analytical & Logical Reasoning - 1 (2019-2019)

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Test: Mental Ability, Analytical & Logical Reasoning - 1 (2019-2019) - Question 1

Seeta and Geeta go for a swim after a gap of every 2 days and every 3 days respectively. If on 1st January both of them went for a swim together, when will they go together next?

[2019]

Detailed Solution for Test: Mental Ability, Analytical & Logical Reasoning - 1 (2019-2019) - Question 1

Seeta and Geeta go swimming after a gap of every 2 days and 3 days respectively.

Seeta's dates in January would be: 1st, 4th, 7th, 10th, 13th, and so on (Here we can see that between 1st and 4th, there is a gap of 2 days)

Similarly, Geeta's dates in January would be: 1st, 5th, 9th, 13th, and so on (Between 1st and 5th, there is a gap of 3 days)

Hence, they go together next on 13th January.

Test: Mental Ability, Analytical & Logical Reasoning - 1 (2019-2019) - Question 2

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?
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 :

[2019]

Detailed Solution for Test: Mental Ability, Analytical & Logical Reasoning - 1 (2019-2019) - Question 2

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.
Hence, conclusion (1) and (2) Can not be drawn from the data.

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Test: Mental Ability, Analytical & Logical Reasoning - 1 (2019-2019) - Question 3

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]

Detailed Solution for Test: Mental Ability, Analytical & Logical Reasoning - 1 (2019-2019) - Question 3

Distance between city Q and city R

Test: Mental Ability, Analytical & Logical Reasoning - 1 (2019-2019) - Question 4

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 :
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

[2019]

Detailed Solution for Test: Mental Ability, Analytical & Logical Reasoning - 1 (2019-2019) - Question 4

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

Test: Mental Ability, Analytical & Logical Reasoning - 1 (2019-2019) - Question 5

Consider the following Statements and Conclusions:
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.
III. Some cats are rats.
Which of the above conclusions is/are drawn from the statements?

[2019]

Detailed Solution for Test: Mental Ability, Analytical & Logical Reasoning - 1 (2019-2019) - Question 5


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

Test: Mental Ability, Analytical & Logical Reasoning - 1 (2019-2019) - Question 6

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]​

Detailed Solution for Test: Mental Ability, Analytical & Logical Reasoning - 1 (2019-2019) - Question 6

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.

Test: Mental Ability, Analytical & Logical Reasoning - 1 (2019-2019) - Question 7

Which year has the same calendar as that of 2009?

[2019]

Detailed Solution for Test: Mental Ability, Analytical & Logical Reasoning - 1 (2019-2019) - Question 7

Number of odd days in a non-Leap year = 1.
Number 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.

Test: Mental Ability, Analytical & Logical Reasoning - 1 (2019-2019) - Question 8

Consider two statements S1 and S2 followed by a question:
S1 : p and q both are prime numbers.
S2 : p + q is an odd integer.
Question : Is pq an odd integer?
Which one of the following is correct?

[2019]

Detailed Solution for Test: Mental Ability, Analytical & Logical Reasoning - 1 (2019-2019) - Question 8

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.

Test: Mental Ability, Analytical & Logical Reasoning - 1 (2019-2019) - Question 9

‘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]

Detailed Solution for Test: Mental Ability, Analytical & Logical Reasoning - 1 (2019-2019) - Question 9


Shortest distance between A and B.

Test: Mental Ability, Analytical & Logical Reasoning - 1 (2019-2019) - Question 10

Consider the following sequence that follow some arrangement:
c_accaa_aa_bc_b
The letters that appear in the gaps are

[2019]

Detailed Solution for Test: Mental Ability, Analytical & Logical Reasoning - 1 (2019-2019) - Question 10

The series is ccacc, aabaa, bbcbb

Test: Mental Ability, Analytical & Logical Reasoning - 1 (2019-2019) - Question 11

What is X in the sequence
4, 196, 16, 144, 36, 100, 64, X?

[2019]

Detailed Solution for Test: Mental Ability, Analytical & Logical Reasoning - 1 (2019-2019) - Question 11


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

Test: Mental Ability, Analytical & Logical Reasoning - 1 (2019-2019) - Question 12

If the numerator and denominator of a proper fraction are increased by the same positive quantity which is greater than zero, the resulting fraction is

[2019]

Detailed Solution for Test: Mental Ability, Analytical & Logical Reasoning - 1 (2019-2019) - Question 12

A proper fraction is one which is less than 1.
when some positive number is added in numerator and de-nominator then, fraction value increases from original value.
For example, when 1 is added to both numerator and denominator of  

Test: Mental Ability, Analytical & Logical Reasoning - 1 (2019-2019) - Question 13

What is X in the sequence
132, 129, 124, 117, 106, 93, X?

[2019]

Detailed Solution for Test: Mental Ability, Analytical & Logical Reasoning - 1 (2019-2019) - Question 13

Test: Mental Ability, Analytical & Logical Reasoning - 1 (2019-2019) - Question 14

S1 : Twice the weight of Sohan is less than the weight of Mohan or that of Rohan.
S2 : Twice the weight of Rohan is greater than the weight of Mohan or that of Sohan.

Q. Which one of the following statements is correct?

[2019]

Detailed Solution for Test: Mental Ability, Analytical & Logical Reasoning - 1 (2019-2019) - Question 14

S1 → 2 × (Sohan's weight) < {(Mohan's weight) or (Rohan's weight)}
S2 → 2 × (Rohan's weight) > {(Mohan's weight) or (Sohan's weight)}
From S1, weight of Sohan is least.

Test: Mental Ability, Analytical & Logical Reasoning - 1 (2019-2019) - Question 15

S1 : Twice the weight of Sohan is less than the weight of Mohan or that of Rohan.
S2 : Twice the weight of Rohan is greater than the weight of Mohan or that of Sohan.

Q. Which one of the following statements is correct?

[2019]

Detailed Solution for Test: Mental Ability, Analytical & Logical Reasoning - 1 (2019-2019) - Question 15

S1 → 2 × (Sohan's weight) < {(Mohan's weight) or (Rohan's weight)}
S2 → 2 × (Rohan's weight) > {(Mohan's weight) or (Sohan's weight)}
From S1 and S2, either Rohan or Mohan's weight is greatest but we can't determined whose weight is greatest.

Test: Mental Ability, Analytical & Logical Reasoning - 1 (2019-2019) - Question 16

Six students A, B, C, D, E and F appeared in several tests. Either C or F scores the highest. Whenever C scores the highest, then E scores the least, Whenever F scores the highest, B scores the least.
In all the tests they got different marks; D scores higher than A, but they are close competitors; A scores higher than B; C scores higher than A.

Q. If F stands second in the ranking, then the position of B is

[2019]

Detailed Solution for Test: Mental Ability, Analytical & Logical Reasoning - 1 (2019-2019) - Question 16

Case - I: When C gets highest marks,
(i) E < F < B < A < D < C   or,
(ii) E < B < F < A < D < C   or,
(iii) E < B < A < D < F < C.
Case - II: When F Scores highest,
(i) B < A < D < C < E < F.  or,
(ii) B < A < D < E < C < F.
From case I (iii), When F stand second B is fifth.

Test: Mental Ability, Analytical & Logical Reasoning - 1 (2019-2019) - Question 17

Six students A, B, C, D, E and F appeared in several tests. Either C or F scores the highest. Whenever C scores the highest, then E scores the least, Whenever F scores the highest, B scores the least.
In all the tests they got different marks; D scores higher than A, but they are close competitors; A scores higher than B; C scores higher than A.

Q. If B scores the least, the rank of C will be

[2019]

Detailed Solution for Test: Mental Ability, Analytical & Logical Reasoning - 1 (2019-2019) - Question 17

Case - I: When C gets highest marks,
(i) E < F < B < A < D < C   or,
(ii) E < B < F < A < D < C   or,
(iii) E < B < A < D < F < C.
Case - II: When F Scores highest,
(i) B < A < D < C < E < F.  or,
(ii) B < A < D < E < C < F.
From Case II, When B score the least then C stand either second or third.

Test: Mental Ability, Analytical & Logical Reasoning - 1 (2019-2019) - Question 18

Six students A, B, C, D, E and F appeared in several tests. Either C or F scores the highest. Whenever C scores the highest, then E scores the least, Whenever F scores the highest, B scores the least.
In all the tests they got different marks; D scores higher than A, but they are close competitors; A scores higher than B; C scores higher than A.

Q. If E is ranked third, then which one of the following is correct?

[2019]

Detailed Solution for Test: Mental Ability, Analytical & Logical Reasoning - 1 (2019-2019) - Question 18

Case - I: When C gets highest marks,
(i) E < F < B < A < D < C   or,
(ii) E < B < F < A < D < C   or,
(iii) E < B < A < D < F < C.
Case - II: When F Scores highest,
(i) B < A < D < C < E < F.  or,
(ii) B < A < D < E < C < F.
From case - II (ii), When E ranked third, then C score more then E.

Test: Mental Ability, Analytical & Logical Reasoning - 1 (2019-2019) - Question 19

If $ means ‘divided by’; @ means ‘multiplied by’; # means ‘minus’; then the value of 10#5@1$5 is

[2019]

Detailed Solution for Test: Mental Ability, Analytical & Logical Reasoning - 1 (2019-2019) - Question 19

10 # 5 @ 1 $ 5
= 10 – 5 × 1 ÷ 5 = 10 – 5 × (1/5) = 10 – 1 = 9.

Test: Mental Ability, Analytical & Logical Reasoning - 1 (2019-2019) - Question 20

A joint family consists of seven members A, B, C, D, E, F and G with three females. G is a widow and sister-in-law of D’s father F, B and D are siblings and A is daughter of B. C is cousin of B. Who is E?
(a) Wife of F
(b) Grandmother of A
(c) Aunt of C
Select the correct answer using the code given below:
 

[2019]

Detailed Solution for Test: Mental Ability, Analytical & Logical Reasoning - 1 (2019-2019) - Question 20

According to the question,

So, E may be wife of F; Grandmother of A and Aunt of C  
∴ Option (d) is correct.

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