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Q:

If 25% of a number is subtracted from a second number, the second number reduces to its four-sixth. What is the ratio of the first number to the second number ?

A) 4:3	B) 2:3
C) 3:2	D) 5:3

Answer & Explanation Answer: A) 4:3

Explanation:

Let the numbers be p & q

q-p/4 = 4q/6

=> q-4q/6 = p/4

=> 2q/6 = p/4

=> p/q = 4/3

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Q:

A number, when 35 is subtracted from it, reduces to its 80 percent. What is four - fifth of that number ?

A) 175	B) 140
C) 135	D) 95

Answer & Explanation Answer: B) 140

Explanation:

x - 35 = 80x/100

=> x = 175

=> 4x/5 = 4x175/5 = 140.

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Q:

The arithmetic mean of the following numbers 1, 2, 2, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6 and 7, 7, 7, 7, 7, 7, 7 is ?

A) 6	B) 9
C) 7	D) 5

Answer & Explanation Answer: D) 5

Explanation:

Arithmatic mean = sum/members

=> (1x1 + 2x2 + 3x3 + 4x4 + 5x5 + 6x6 + 7x7) / (1 + 2 + 3 + 4 + 5 + 6 + 7)

=> 140/28 = 5

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Filed Under: Arithmetical Reasoning
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Q:

Thrice the square of a natural number decreased by 4 times the number is equal to 50 more than the number. The number is ?

A) 5	B) 4
C) 7	D) 6

Answer & Explanation Answer: A) 5

Explanation:

Let the number be x. Then,

$3 x^{2}$ - 4x = x + 50

$3 x^{2}$ - 5x - 50 = 0

(3x + 10)(x - 5) = 0

x = 5

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Filed Under: Arithmetical Reasoning
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Q:

On multiplying a number by 7, the product is a number each of whose digits is 3. The smallest such number is ?

A) 476190476	B) 48617
C) 47619	D) 4587962

Answer & Explanation Answer: C) 47619

Explanation:

By hit and trail, we find that

47619 x 7 = 333333.

7) 333333 (47619
333333
----------------
0

And 476190476 x 7 = 3333333333 but smallest number is 47619.

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Filed Under: Problems on Numbers
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Q:

The sum of three numbers is 98. If the ratio of the first to the second is 2:3. And that of the second to the third is 5:8, then the second number is:

A) 30	B) 27
C) 23	D) 33

Answer & Explanation Answer: A) 30

Explanation:

Then, A:B = 2:3 and B:C = 5:8
= (5 x 3/5) : (8 x 3/5) = 3:24/5
A:B:C = 2:3:24/5
= 10:15:24 => B = 98 x 15/49 = 30.

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Filed Under: Arithmetical Reasoning
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Q:

Out of first 20 natural numbers, one number is selected at random. The probability that it is either an even number or a prime number is ?

A) 16/19	B) 1
C) 3/2	D) 17/20

Answer & Explanation Answer: D) 17/20

Explanation:

n(S) = 20
n(Even no) = 10 = n(E)
n(Prime no) = 8 = n(P)
P(E U P) = 10/20 + 8/20 - 1/20 = 17/20

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Filed Under: Probability
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Q:

If 35% of a number is 24 less than 50% of that number, then the number is ?

A) 80	B) 160
C) 100	D) 120

Answer & Explanation Answer: B) 160

Explanation:

Let the number be n. Then,

50% of n - 35% of n = 24

50/100 n - 35/100 n = 24

n = (24 x 100)/15 = 160.

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Filed Under: Percentage
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