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QUESTION: 1

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

[2019]

Solution:

L.C.M of 3 and 4 = 12

together, they will meet on 1 + 12 = 13^{th} jan.

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]

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.

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

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]

Solution:

Distance between city Q and city R

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]

Solution:

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.

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]

Solution:

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

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 5^{th} Thursday of November. On which day is the birthday of his third child, which falls on 20^{th} December?

[2019]

Solution:

5^{th} monday of April will fall on 29^{th} or 30^{th} April. again 5^{th} thursday of November will fall on 29^{th} or 30^{th} November.

When 29^{th} April is Monday.

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

= 30 weeks + 4 days.

thus 29^{th} of November would be Friday.

But 29^{th} November is thursday, hence, 30^{th} April is Monday.

Now, Number of days between 29^{th} November and 20^{th} december = 21 days.

= 3 weeks

Hence, 20^{th} december is Thursday.

QUESTION: 7

Which year has the same calendar as that of 2009?

[2019]

Solution:

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.

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]

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.

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]

Solution:

Shortest distance between A and B.

QUESTION: 10

Consider the following sequence that follow some arrangement:

c_accaa_aa_bc_b

The letters that appear in the gaps are

[2019]

Solution:

The series is c__c__acc, aa__b__aa, __b__bc__b__b

QUESTION: 11

What is X in the sequence

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

[2019]

Solution:

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

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]

Solution:

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

QUESTION: 13

What is X in the sequence

132, 129, 124, 117, 106, 93, X?

[2019]

Solution:

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]

Solution:

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.

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]

Solution:

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.

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]

Solution:

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.

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]

Solution:

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.

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]

Solution:

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.

QUESTION: 19

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

[2019]

Solution:

10 # 5 @ 1 $ 5

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

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]

Solution:

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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