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Q:

At what time, in minutes, between 3 o'clock and 4 o'clock, both the needles will coincide each other?

A. $5 \frac{1}{11}$

B. $15 \frac{4}{15}$

C. $16 \frac{4}{11}$

D. $4 \frac{4}{15}$

A) Option A	B) Option B
C) Option C	D) Option D

Answer & Explanation Answer: C) Option C

Explanation:

At 3 o'clock, the minute hand is 15 min. spaces apart from the hour hand.

To be coincident, it must gain 15 min. spaces.

55 min. are gained in 60 min.

Then 15 min spaces are gained in = $\frac{60}{55} \times 15$ min.

Therefore, The hands are coincident at $16 \frac{4}{11}$ min. past 3 o'clock.

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Filed Under: Clocks
Exam Prep: Bank Exams
Job Role: Bank Clerk

Q:

What is the remainder when $15^{23} + 23^{23}$ is divided by 19 ?

A) 4	B) 3
C) 1	D) 0

Answer & Explanation Answer: D) 0

Explanation:

$15^{23} + 23^{23} = {(19 - 4)}^{23} + {(19 + 4)}^{23}$

The remainder on dividing by 19 will be ${(- 4)}^{23} + {(4)}^{23}$ = 0.

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Filed Under: Numbers
Exam Prep: CAT
Job Role: Bank PO

Q:

How many remainders are possible if $16^{n}$ is divided by 9 for any positive integral value of n ?

A) 1	B) 2
C) 3	D) 4

Answer & Explanation Answer: C) 3

Explanation:

When $16^{n}$ is divided by 9, we have

$\frac{16^{1}}{9}$ , remainder = 7

$\frac{16^{2}}{9}$ , remainder = 4

$\frac{16^{3}}{9}$ , remainder = 1

$\frac{16^{4}}{9}$ , remainder = 7

$\frac{16^{5}}{9}$ , remainder = 4

$\frac{16^{6}}{9}$ , remainder = 1

So, we have cyclicity of 3 factors i.e 7,4,1.

Hence only 3 remainders are possible.

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Filed Under: Numbers
Exam Prep: CAT
Job Role: Bank Clerk

Q:

Four ladies A, B, C and D and four gentlemen E, F, G and H are sitting in a circle round a table facing each other.

Directions:

(1) No two ladies or two gentlemen are sitting side by side.

(2) C, who is sitting between G and E is facing D.

(3) F is between D and A and is facing G.

(4) H is to the right of B.

Question:

1. Who are immediate neighbours of B?

2. E is facing whom?

A) G & H , H	B) F & H , B
C) E & F , F	D) E & H , G

Answer & Explanation Answer: A) G & H , H

Explanation:

From the directions given :

f11482726547.png image

From the fig. it is clear that

1) neighbours of B are G , H.

2) E is facing H.

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Filed Under: Permutations and Combinations
Exam Prep: CAT
Job Role: Bank PO

Q:

Directions for question: There are six persons P, Q, R, S, T and U. R is the sister of U, Q is the brother of T’s Husband, S is the father of P and Grandfather of U. There are two fathers, three brothers and a mother in the group. Who is the mother?

A) S	B) T
C) Q	D) R

Answer & Explanation Answer: B) T

Explanation:

R is the sister of U

Q is the brother of T’s Husband

S is the father of P and Grandfather of U

Grouping all the clues

Two fathers : P,S

Three brothers : Q&P are brothers.U should be male and the brother of R

T is the mother

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Filed Under: Blood Relations
Exam Prep: CAT
Job Role: Bank Clerk

Q:

Some mangoes are yellow.
Some tixo are mangoes.

Conclusions:
(i) Some mangoes are green.
(ii) Tixo is a yellow.

A) Only conclusion (i) follows	B) Only conclusion (ii) follows
C) Either (i) or (ii) follows	D) Neither (i) nor (ii) follows

Answer & Explanation Answer: D) Neither (i) nor (ii) follows

Explanation:

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Filed Under: Verification of Truth of the statement
Exam Prep: CAT
Job Role: Bank Clerk

Q:

Determine which of the given conclusions logically follows from the given statements, disregarding commonly known facts.

Statements:
Some actors are singers.
All the singers are dancers.

Conclusions:
(i) Some actors are dancers.
(ii) No singer is an actor.

A) Neither (i) nor (ii) follows	B) Either (i) or (ii) follows
C) Only conclusion (ii) follows	D) Only conclusion (i) follows

Answer & Explanation Answer: D) Only conclusion (i) follows

Explanation:

Some + All = Some

and the common word in two statements is Singers will not be used.

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Filed Under: Verification of Truth of the statement
Exam Prep: CAT
Job Role: Bank PO

Q:

The ratio of Karthik’s and Kalyan’s ages is 4: 5. If the difference between the present age of Kalyan and the age of Karthik 5 years hence is 3 years, then what is the total of present ages of Karthik and Kalyan?

A) 56 years	B) 62 years
C) 69 years	D) 72 years

Answer & Explanation Answer: D) 72 years

Explanation:

Let us consider Karthik as K1 and Kalyan as K2.

Given $\frac{k 1}{8 + k 1}$ and K2 - (K1 + 5) = 3

K2 - K1 = 8

K2 = 8 + K1

Now,

$\frac{k 1}{8 + k 1} = \frac{4}{5}$

=> K1 = 32 years

Therefore K2 = 40 years.

K1 + K2 = 72 years.

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Filed Under: Problems on Ages
Exam Prep: CAT
Job Role: Bank PO

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