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Q:

If 2 men and 3 women can do a piece of work in 8 days and 3 men and 2 women in 7 days. In how many days can the work be done by 5 men and 4 women working together?

A) 3 days	B) 6 days
C) 4 days	D) 2 days

Answer & Explanation Answer: C) 4 days

Explanation:

From the given data,

=> (2 M + 3W) 8 = (3M + 2W)7

=> 16M + 24W = 21M + 14 W

=> 10W = 5M

=> 2W = M

=> 14W × ? = 7W × 8

? = 4 days

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Filed Under: Time and Work
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Q:

If 15% of x = 20% of y, then x:y is ___?

A) 4:3	B) 5:4
C) 4:5	D) 3:4

Answer & Explanation Answer: A) 4:3

Explanation:

Given 15% of x = 20% of y

=> 15x = 20y

=> x/y = 20/15

=> x : y = 4 : 3

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Filed Under: Percentage
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Q:

28 Men and 52 women working together completes a work in 22.5 days. 35 men and 65 women working together on same work will complete it in how many days?

A) 16	B) 18
C) 19	D) 21

Answer & Explanation Answer: B) 18

Explanation:

Clearly total persons are increased in 28/35 :: 52/65 = 4:5.

As time is inversely proportional to men, so total time will decrease in the ratio 5:4.

Hence, 22.5 x 4/5 = 18 days.

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Filed Under: Time and Work
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Q:

A card is drawn from a pack of 52 cards. The probability of getting a queen of the club or a king of the heart is?

A) 1/26	B) 1/13
C) 2/13	D) 1/52

Answer & Explanation Answer: A) 1/26

Explanation:

Here in this pack of cards, n(S) = 52

Let E = event of getting a queen of the club or a king of the heart

Then, n(E) = 2

P(E) = n(E)/n(S) = 2/52 = 1/26

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Filed Under: Probability
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Q:

In the following number series, one of the numbers is wrong. Find it out?

77, 79, 76, 81, 75, 85

A) 79	B) 81
C) 75	D) 85

Answer & Explanation Answer: C) 75

Explanation:

Here in the given series, it follows a pattern that

77 + 2 = 79

79 - 3 = 76

76 + 5 = 81

81 - 7 = 74

74 + 11 = 85

Consecutive adding and subtracting of prime numbers.

So the wrong number in the given series is 75.

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Filed Under: Odd Man Out
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Q:

Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 5 seconds. What is the length of the fast train?

A) 27 7/9 mts	B) 25 8/7 mts
C) 21 1/4 mts	D) 22 mts

Answer & Explanation Answer: A) 27 7/9 mts

Explanation:

Relative speed = (40 - 20) km/hr =		20 x	5		m/sec =		50		m/sec.
			18				9

Length of faster train =		50	x 5		m =	250	m = 27	7	m.
		9				9		9

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Filed Under: Problems on Trains
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Q:

If (1 × 2 × 3 × 4 ........ × n) = n!, then 15! - 14! - 13! is equal to ___?

A) 14 × 13 × 13!	B) 15 × 14 × 14!
C) 14 × 12 × 12!	D) 15 × 13 × 13!

Answer & Explanation Answer: D) 15 × 13 × 13!

Explanation:

15! - 14! - 13!

= (15 × 14 × 13!) - (14 × 13!) - (13!)

= 13! (15 × 14 - 14 - 1)

= 13! (15 × 14 - 15)

= 13! x 15 (14 - 1)

= 15 × 13 × 13!

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Filed Under: Permutations and Combinations
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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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Filed Under: Mathematical Operations
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