# Aptitude Problems on Numbers Test Paper 2

6) Two different natural numbers are such that their product is less than their sum. One of the numbers must be

1. 1
2. 2
3. 3
4. None of these.

Explanation:

As per the question:
Let one natural number = x
Since, 1*x < 1 + x, so the other number would be 1.

7) Two-third of one-fifth of one-fourth of a number is 10. What is 30% of that number?

1. 60
2. 100
3. 270
4. 90

Explanation:

x = 10 × 3 × 5 × 2 = 300

Now,
30% of x = × 300=90

8) The sum of two consecutive odd numbers in a set of three consecutive odd numbers is 5 more than the third number. What is the second of these numbers?

1. 5
2. 7
3. 9
4. 11

Explanation:

Let the numbers be x, x+2, x+4,
∴ (x + x+2) - (x+4) = 5
2x + 2 - x - 4 = 5
X - 2 = 5
X = 5+2 = 7
∴ Second number: 7+2= 9

9) The ratio between a two-digit number and the sum of the digits of that number is 4:1. If the digit in the unit place is 3 more than the digit in the ten's place, what is that number?

1. 24
2. 63
3. 36
4. None of these.

Explanation:

Let ten's digit be x. Then, unit's digit = (x+3).
Sum of the digits = x +(x+3) = 2x+3
Number = 10x+(x+3) = 11x+3

Then,

11x + 3 = 8x + 12
3x = 9
X = 3
∴ Number = (11x+3)
= 33 + 3 = 36

10) The difference between a two-digit number and the number obtained by interchanging the digits is 27. What is the difference between the digits of the number?

1. 3
2. 6
3. 9
4. 5

Explanation:

Let the ten's digit be = x
Unit's digit = y
So, the number is = 10x +y
The number obtained by interchanging the digits = 10y + x
According to the question:
(10x + y) - (10y + x) = 27
10x + y - 10y - x = 27
9x - 9y = 27
(x - y) = 3
∴The difference between the digits of the numbers, i.e., (x - y) = 3.

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Problems on Numbers Concepts