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Q:

The ratio 5 : 4 expressed as a percent equals :

A) 12.5 %	B) 40 %
C) 80 %	D) 125 %

Answer & Explanation Answer: D) 125 %

Explanation:

5 : 4 = 5/4 = ( (5/4) x 100 )% = 125%.

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Filed Under: Percentage

Q:

A number consists of 3 digits whose sum is 10. The middle digit is equal to the sum of the other two and the number will be increased by 99 if its digits are reversed. The number is :

A) 253	B) 263
C) 273	D) 283

Answer & Explanation Answer: A) 253

Explanation:

Let the middle digit be x.

Then, 2x = 10 or x = 5. So, the number is either 253 or 352

Since the number increases on reversing the digits, so the hundred's digit is smaller than the unit's digit.

Hence, required number = 253.

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Filed Under: Problems on Numbers

Q:

In a two-digit number, if it is known that its unit's digit exceeds its ten's digit by 2 and that the product of the given number and the sum of its digits is equal to 144, then the number is :

A) 12	B) 24
C) 36	D) 48

Answer & Explanation Answer: B) 24

Explanation:

Let the ten's digit be x.

Then, unit's digit = x + 2.

Number = 10x + (x + 2) = 11x + 2

Sum of digits = x + (x + 2) = 2x + 2.

(11x + 2) (2x + 2) = 144

=> 22x^2+26x-140=0

=> (x - 2)(11x + 35) = 0

=> x = 2

Hence, Required Number = 11x + 2 = 24

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Filed Under: Problems on Numbers

Q:

If 50 is subtracted from two-third of a number, the result is equal to sum of 40 and one-fourth of that number. What is the number ?

A) 156	B) 179
C) 198	D) 216

Answer & Explanation Answer: D) 216

Explanation:

Let the number be x.

Then, 2/3x-50 = 1/4x +50

=> 5/12x = 90

x = (90 x 12) / 5 = 216

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Filed Under: Problems on Numbers

Q:

Water boils at 212°F or 100°C and melts at 32°F or 0°C . If the temparature of the particular day is 35°C , it is equal to :

A) 85°F	B) 95°F
C) 96°F	D) 97°F

Answer & Explanation Answer: B) 95°F

Explanation:

Let F and C denotes the temparature in Fahrenheit anid Celcsius respectively.

Then, (F - 32) /(212 - 32) = (C - 0)/(100 - 0), if c = 35, then F = 95.

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Filed Under: Simplification

Q:

If x = 1 - q and y = 2q + 1, then for what value of q, x is equal to y ?

A) 0	B) 1
C) -1	D) -2

Answer & Explanation Answer: A) 0

Explanation:

x = y <=> 1 - q = 2q + 1 <=> 3q = 0 <=> q = 0.

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Filed Under: Simplification

Q:

If a * b = 2a - 3b + ab, then 3 * 5 + 5 * 3 is equal to :

A) 22	B) 23
C) 24	D) 25

Answer & Explanation Answer: A) 22

Explanation:

3 * 5 + 5 * 3 = (2 * 3 - 3 * 5 + 3 * 5) + ( 2 * 5 - 3 * 3 + 5 * 3)

= (6 + 10 - 9 + 15) = 22.

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Filed Under: Simplification

Q:

The difference of $\frac{1}{8}$ and its reciprocal is equal to :

A) 1/8	B) 4/3
C) 15/16	D) 105/304

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