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Q:

Detect an error part labelled (1), (2), (3) & (4) in the following question.

$\frac{w h o l e n o r t h e r n s t a t e s i n}{(1)} / \frac{i n d i a a r e r e e l i n g u n d e r t h e}{(2)} / \frac{d e v a s t a t i n g}{(3)} / \frac{o f t h e d r o u g h t}{(4)}$

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

Answer & Explanation Answer: A) 1

Explanation:

Error is in the first part of the sentence. 'Whole' is used with singular nouns.
The correct sentence is - 'All Northern states in India are reeling under the devastating of the drought.

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Filed Under: Verification of Truth of the statement
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Q:

Solve the MathPuzzle Challenge ?

21728536_1414818525291914_2403155789974071436_n1505380084.jpg image

A) 4!	B) 5!
C) 6!	D) Can't be determined

Answer & Explanation Answer: D) Can't be determined

Explanation:

NUMERICAL has 9 positions in which 2, 4, 6, 8 are even positions.

And it contains 5 consonents i.e, N, M, R, C & L. Hence this cannot be done as 5 letters cannot be placed in 4 positions.

Therefore, Can't be determined.

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Q:

Complete the number series given below ?

13 19 37 ? 141 243

A) 58	B) 67
C) 75	D) 96

Answer & Explanation Answer: C) 75

Explanation:

The given series follows the pattern that

exp.

So the missing number is 37 + 38 = 75

75 + 66 = 141

....

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Q:

Anu's present age is 9 years more than that of what Raj's age will be after five years. Raj's present age is seven years more than that of what Renu's age was 4 years ago. Renu's present age is 19 years. What will be Anu's age after 5 years ?

A) 39 yrs	B) 36 yrs
C) 46 yrs	D) 41 yrs

Answer & Explanation Answer: D) 41 yrs

Explanation:

Anu = (Raj + 5) + 9

= Raj + 14 -------- (I)

Raj = (Renu - 4) + 7

= Renu + 3 ------- (II)

Raj's age = 19 + 3 = 22 years

After 5 years Anu's age = 22 + 14 + 5 = 41 years

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Filed Under: Problems on Ages
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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:

Munna and Chinna are partners in a firm out of which Munna is sleeping partner and Chinna is working partner. Munna invests Rs. 1,40,000 and Chinna invests Rs. 80,000. Chinna receives 14.5% of profit for managing the business and the rest is shared between both in ratio of their investments. Munna's share in the profit of Rs. 19600 is ?

A) Rs. 9580.25	B) Rs. 10600
C) Rs. 10664.15	D) Rs. 11060.48

Answer & Explanation Answer: C) Rs. 10664.15

Explanation:

Profit received by Chinna as working partner = 14.5% of Rs. 19600

= 14.5x19600/100 = Rs. 2842

Balance in profit = 19600-2842 = Rs. 16758

Ratio of investment of Chinna & Munna = 80,000 : 1,40,000 = 4 : 7

Hence share of Chinna in investment = 4x16758/100 = Rs. 6093.85

Therefore, Share of Munna = 19600 - 2842 - 6093.85 = Rs. 10664.15

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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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