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Q:

Find the Missing Numbers in the given Number Puzzle ?

A) 169 & 81	B) 67 & 121
C) 64 & 115	D) 70 & 110

Answer & Explanation Answer: A) 169 & 81

Explanation:

Observe that in each column, square of sum of digits in the first row = Respective second row elements.

In the same way, square of sum of digits in the second row = Respective third row elements.

=> ${(6 + 4)}^{2} = 10^{2} = 100$

=> ${(4 + 9)}^{2} = 13^{2} = 169$

=> ${(8 + 1)}^{2} = 9^{2} = 81$ .

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Filed Under: Number Puzzles
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Q:

Solve the Number Puzzle ?

number_puzzle1503907077.jpg image

A) 20	B) 24
C) 26	D) 30

Answer & Explanation Answer: C) 26

Explanation:

Here the puzzle follows the logic that

Right side number = sum of the number on the left side and the previous number on the left side

=> 6 = 4+2

=> 10 = 6+4

=> ? = 16+10 = 26.

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Filed Under: Number Puzzles
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Q:

Simplify the following :

$\frac{37^{3} + 35^{3} + 28^{3} - 3 x 37 x 35 x 28}{37^{2} + 35^{2} + 28^{2} - 37 x 35 - 35 x 28 - 37 x 28}$ ?

A) 100	B) 1
C) 4	D) 0

Answer & Explanation Answer: A) 100

Explanation:

Given $\frac{37^{3} + 35^{3} + 28^{3} - 3 x 37 x 35 x 28}{37^{2} + 35^{2} + 28^{2} - 37 x 35 - 35 x 28 - 37 x 28}$

It is in the form of

$\frac{a^{3} + b^{3} + c^{3} - 3 a b c}{a^{2} + b^{2} + c^{2} - a b - b c - c a}$ = a + b + c

Here a = 37, b = 35 & c = 28

=> a + b + c = 37 + 35 + 28 = 100

Therefore, $\frac{(37)^{3}+(35)^{3}+(28)^{3}-3x37x35x28}{(37)^{2}+(35)^{2}+(28)^{2}-37x35-35x28-37x28}$ = 100

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Filed Under: Simplification
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Q:

Find the value of $\sqrt{\frac{1.21 x 0.9}{1.1 x 0.11}}$ ?

A) 0	B) 1
C) 3	D) 5

Answer & Explanation Answer: C) 3

Explanation:

Given $\sqrt{\frac{1.21 x 0.9}{1.1 x 0.11}}$

= $\sqrt{\frac{1.21 x 100 x 0.9 x 10}{1.1 x 10 x 0.11 x 100}}$

= $\sqrt{9}$

= 3.

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Filed Under: Square Roots and Cube Roots
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Q:

In the following question, two equations numbered 1 and 2 are given. You have to solve both the equations and determine the relation between a and b.

1. $5 a^{2} - 18 a + 9 = 0$

2. $3 b^{2} + 5 b - 2 = 0$

A) a >= b	B) a <= b
C) a < b	D) a > b

Answer & Explanation Answer: D) a > b

Explanation:

From solving 1 and 2 we get,

1.

5a(a-3)-3(a-3) = 0

(5a-3)(a-3) = 0

a = 3 or 3/5

2.

3b(b+2)-1(b+2) = 0

b = -2 or b = 1/3

Here when a = 3, a > b for b = -2 and b = 1/3

when a = 3/5. a > b for b = -2 and b = 1/3.

Hence, it is clear that a > b.

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Filed Under: Statement and Conclusions
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Q:

Read each part of the sentence to find out if there is any error in it. The error, if any, will be in one part of the sentence. The number of that part is the answer.

$\frac{A s m u c h a s i a d m i r e h i m f o r h i s t a l e n t}{(1)} / \frac{a n d e n d e a v o r t o a c h i e v e s u c c e s s}{(2)} /$

$\frac{I c a n n o t f o r g i v e h i m f o r b e i n g s o}{(3)} / \frac{r u d e t o t h e n o t s o w e l l t o d o o n e s}{(4)}$

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

Answer & Explanation Answer: A) (1)

Explanation:

The error lies in part (1).

As the phrase 'as much as' needs to be replaced with 'much as I'. This is because we use 'as much as' for comparing two qualities or things. But here in the given sentence a contrast is given in the latter part of the sentence. So we need a conjunction like 'even though' 'although' etc...

'Much as I' also serves the same purpose.

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Filed Under: Verification of Truth of the statement
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Q:

Assuming the given statements to be true, find which of the two conclusions A and B given below is/are definitely true.

Statements: C < T < L= P > Q, N > C > Y

Conclusions: A. P > Y B. Y < P

A) only conclusion B is true.	B) only conclusion A is true.
C) neither conclusion I nor II is true.	D) either conclusion I or II is true.

Answer & Explanation Answer: A) only conclusion B is true.

Explanation:

From given statements, we can conclude that

N > C < T < L= P > Q .....(1)

Here given that C > Y but in eq(1) we got that C < T < T <= P => Y is definitely less than P.

So only conclusion B is True.

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Filed Under: Statement and Conclusions
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Q:

Read each part of the sentence to find out if there is any error in it. The error, if any, will be in one part of the sentence. The number of that part is the answer.

$\frac{A p a r t o f S p e c i a l d e v e l o p m e n t f u n d i s}{(1)} / \frac{e x p e c t e d t o b e r e l e a s e d}{(2)} /$

$\frac{n e x t m o n t h a n d t h e p r o v i s i o n a l}{(3)} / \frac{f o r r e m a i n i n g a m o u n t i n t h e n e w b u d g e t}{(4)}$

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

Answer & Explanation Answer: C) (3)

Explanation:

'provision' should replace 'provisional'.

A noun is required here and provisional is an adjective. Provision means supplies whereas provisional means temporary or contingent.

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Filed Under: Verification of Truth of the statement
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