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Q:

What replaces "?" in the below figure?

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A) 35	B) 34
C) 26	D) 24

Answer & Explanation Answer: C) 26

Explanation:

Here $\frac{14 \times 15}{21}$ = 10 and $\frac{32 \times 14}{28}$ = 16

In the same way $\frac{24 \times 26}{24}$ = 26.

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Filed Under: Inserting The Missing Character
Exam Prep: Bank Exams
Job Role: Bank PO

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:

If log 64 = 1.8061, then the value of log 16 will be (approx)?

A) 1.9048	B) 1.2040
C) 0.9840	D) 1.4521

Answer & Explanation Answer: B) 1.2040

Explanation:

Given that, log 64 = 1.8061

i.e $\log (4^{3}) = 1.8061$

--> 3 log 4 = 1.8061

--> log 4 = 0.6020

--> 2 log 4 = 1.2040

$\Rightarrow \log (4^{2}) = 1.2040$

Therefore, log 16 = 1.2040

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

Q:

How many prime numbers exist in $6^{5} \times 35^{9} \times 11^{3}$ ?

A) 29	B) 31
C) 33	D) 27

Answer & Explanation Answer: B) 31

Explanation:

Given $6^{5} \times 35^{9} \times 11^{3}$

$\Rightarrow {(2 \times 3)}^{5} \times {(5 \times 7)}^{9} \times 11^{3}$

$\Rightarrow 2^{5} \times 3^{5} \times 5^{9} \times 7^{9} \times 11^{3}$

Thus, there are (5 + 5 + 9 + 9 + 3)= 31 prime numbers.

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Filed Under: Numbers
Exam Prep: CAT
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Q:

What should be the maximum value of B in the following equation?
8A9 – 6B2 + 4C6 = 723

A) 4	B) 1
C) 5	D) 7

Answer & Explanation Answer: D) 7

Explanation:

1 1
8 A 9
+ 4 C 6
- 6 B 2
7 2 3
We may represent the given sum, as shown below:

1 + A + C - B = 12
A + C - B = 11

Now,giving the maximum values to A and C, i.e.

A = 9 and C = 9, we get B = 7.

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

Q:

If $3^{x - y} = 27$ , $3^{x + y} = 243$ then find the x value

A) 2	B) 8
C) 4	D) 1

Answer & Explanation Answer: C) 4

Explanation:

Given that $3^{x - y} = 27$ , $3^{x + y} = 243$

$\Rightarrow 3^{x - y} = 3^{3}, 3^{x + y} = 3^{5}$

=> x-y=3, x+y=5

=> x = 4

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

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