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Q:

The average age of a class is 19 years. While the average age of girls is 18 and that of boys is 21. If the number of girls in the class is 16, Find the number of Boys in the class?

A) 12	B) 10
C) 8	D) 6

Answer & Explanation Answer: C) 8

Explanation:

Let the number of boys = x

From the given data,

=> [21x + 16(18)]/(x+16) = 19

=> 21x - 19x = 19(16) - 16(18)

=> 2x = 16

=> x = 8

Therefore, the number of boys in the class = 8.

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Q:

What is the value of P in the following Equation ?

$19^{2.5} \times 19^{p} = 19^{7}$

A) 3.9	B) 4.1
C) 3.7	D) 4.5

Answer & Explanation Answer: D) 4.5

Explanation:

Given equation is

$19^{2.5} \times 19^{p} = 19^{7}$

Here it is in the form of $a^{m} \times a^{n} = a^{m + n}$

Here m = 2.5 , n = p, m+n = 7

=> 2.5 + p = 7

=> p = 7 - 2.5

=> p = 4.5

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Q:

What should come in place of x in the following equation?

$\frac{x}{\sqrt{128}} = \frac{\sqrt{162}}{x}$

A) 13	B) 12
C) 17	D) 16

Answer & Explanation Answer: B) 12

Explanation:

$\frac{x}{\sqrt{128}} = \frac{\sqrt{162}}{x}$

Then x² = $\sqrt{162} x \sqrt{128}$

= Sqrt of 8² x 6² x 3²

= 8 x 6 x 3

x² = 144.

x = 12.

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Filed Under: Square Roots and Cube Roots
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Q:

Crack the Logical Password of the Mobile ?

logical_password1510123219.jpg image

Answer

65292

1st digit is 3 x 2 = 6

3rd digit is 5-3 = 2

4th digit is 5+4 = 9

6+5 = 2+9 = 9+2 = 11

Workspace

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Subject: Logic Puzzles Exam Prep: AIEEE , Bank Exams , CAT , GATE
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Q:

P can do a piece of work in 5 less days than Q. If both of them can do the same work in $11 \frac{1}{9}$ days, in how many days will Q alone do the same work ?

A) 24 days	B) 25 days
C) 20 days	D) 19 days

Answer & Explanation Answer: B) 25 days

Explanation:

Let Q complete that work in 'L' days

=> $\frac{1}{L} + \frac{1}{L - 5} = \frac{9}{100}$

=> $9 L^{2} - 245 L + 500 = 0$

L = 25 days.

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Filed Under: Time and Work
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Q:

What value will come in place of question mark (?) in the number - series given below ?

4, 30, ?, 1440, 7195, 71940

A) 145	B) 545
C) 650	D) 999

Answer & Explanation Answer: A) 145

Explanation:

4 30 ? 1440 7195 71940

Here the given series follows a pattern of

4

4 x 10 - 10 = 30

30 x 5 - 5 = 145

145 x 10 - 10 = 1440

1440 x 5 - 5 = 7195

7195 x 10 - 10 = 71940

Hence, the missing number is 145

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Q:

What should come in place of question mark (?) in the following number series?

38, 195, ?, 4905, 24530, 122655

A) 980	B) 885
C) 824	D) 1021

Answer & Explanation Answer: A) 980

Explanation:

The given series follows the pattern that,

×5+5, ×5+5, ×5+5, ×5+5, ×5+5

38 x 5 + 5 = 195

195 x 5 + 5 = 980

980 x 5 + 5 = 4905

4905 x 5 + 5 = 24530

24530 x 5 + 5 = 122655

So the missing number is 980 .

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Q:

Which small finance Bank is included in the second schedule of the Reserve Bank of India Act, 1934 ?

A) Janalakshmi	B) Utkarsh
C) Suryoday	D) None

Answer & Explanation Answer: C) Suryoday

Explanation:

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Filed Under: Bank Interview
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