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Q:

The difference between a two-digit number and the number obtained by interchanging the two digits is 63. Which is the smaller of the two numbers ?

A) 12	B) 15
C) 17	D) none of these answers can be determined

Answer & Explanation Answer: D) none of these answers can be determined

Explanation:

Let the ten's digit be x and unit's digit be y.

Then, (10x + y) - (10y + x) = 63

=> 9 (x - y) = 63

=> x - y = 7.

Thus, none of the numbers can be deermined..

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Filed Under: Problems on Numbers

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:

The sum of the digits of a two-digit number is 9 less than the number. Which of the following digits is at unit's place of the number ?

A) 1	B) 2
C) 3	D) data inadequate

Answer & Explanation Answer: D) data inadequate

Explanation:

Let the ten's digit be x and unit's digit be y. Then, (10x + y) - (x + y) = 9 or x = 1.

From this data we cannot find y, the unit's digit. So the data is inadequate..

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Filed Under: Problems on Numbers

Q:

In a two-digit number, the digit in the unit's place is more than twice the digit in ten's place by 1. If the digits in the unit's place and the ten's place are interchanged,difference between the newly formed number and the oiginal number is less than the original number by 1. What is the original number ?

A) 35	B) 36
C) 37	D) 39

Answer & Explanation Answer: C) 37

Explanation:

Let the ten's digit be x. Then, unit's digit = 2x + 1.

[10x + (2x + 1)] - [{10 (2x + 1) + x} - {10x + (2x + 1)}] = 1

<=> (12x + 1) - (9x + 9) = 1 <=> 3x = 9, x = 3.

So, ten's digit = 3 and unit's digit = 7. Hence, original number = 37.

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Filed Under: Problems on Numbers

Q:

The difference between a number and its three-iflh is 50. What is the number ?

A) 75	B) 100
C) 125	D) 150

Answer & Explanation Answer: C) 125

Explanation:

Let the number be x. Then, x - 3x/5 = 50 <=> x = (50 * 5) / 2 = 125..

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Filed Under: Problems on Numbers

Q:

Which letter in the word SELFRIGHTEOUSNESS' does not change its position when the letters are reversed ?

A) G	B) T
C) E	D) H

Answer & Explanation Answer: B) T

Explanation:

Clearly, when the letters of a Word are written in reverse order, the position of the middle letter remains unchanged.

Thus, in the word SELFRIGHTEOUSNESS, the middle letter it T does not change its position when the letters are reversed.

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Filed Under: Alphabet Test

Q:

A, B, C started a business with their investments in the ratio 1:3 :5. After 4 months, A invested the same amount as before and B as well as C withdrew half of their investments. The ratio of their profits at the end of the year is :

A) 1 : 2 : 3	B) 3 : 4 : 15
C) 3 : 5 : 10	D) 5 : 6 : 10

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