Q: What decimal of an hour is a second?

Required decimal = 1 = 1 = .00027 60 x 60 3600

Question 1

4.036 divided by 0.04 gives :

Accepted Answer

4.036 = 403.6 = 100.9 0.04 4

Question 2

The value of (0.96)3 - (0.1)3 is: (0.96)2 + 0.096 + (0.1)2

Accepted Answer

Given expression = (0.96)3 - (0.1)3 (0.96)2 + (0.96 x 0.1) + (0.1)2 = ❨ a3 - b3 ❩ a2 + ab + b2 = (a - b) = (0.96 - 0.1) = 0.86

Question 3

Which of the following is equal to 3.14 x 106?

Accepted Answer

3.14 x 106 = 3.14 x 1000000 = 3140000.

Question 4

How many digits will be there to the right of the decimal point in the product of 95.75 and .02554?

Accepted Answer

Sum of decimal places = 7. Since the last digit to the extreme right will be zero (since 5 x 4 = 20), so there will be 6 significant digits to the right of the decimal point.

Question 5

Evaluate : (2.39)2 - (1.61)2 2.39 - 1.61

Accepted Answer

Given Expression = a2 - b2 = (a + b)(a - b) = (a + b) = (2.39 + 1.61) = 4. a - b (a - b)

Question 6

3889 + 12.952 -? = 3854.002

Accepted Answer

Let 3889 + 12.952 - x = 3854.002. Then x = (3889 + 12.952) - 3854.002 = 3901.952 - 3854.002 = 47.95.

Question 7

5 x 1.6 - 2 x 1.4 =? 1.3

Accepted Answer

Given Expression = 8 - 2.8 = 5.2 = 52 = 4. 1.3 1.3 13

Question 8

The value of 489.1375 x 0.0483 x 1.956 is closest to: 0.0873 x 92.581 x 99.749

Accepted Answer

489.1375 x 0.0483 x 1.956 ≈ 489 x 0.05 x 2 0.0873 x 92.581 x 99.749 0.09 x 93 x 100 = 489 9 x 93 x 10 = 163 x 1 279 10 = 0.58 10 = 0.058 ≈ 0.06.

Question 9

The expression (11.98 x 11.98 + 11.98 x x + 0.02 x 0.02) will be a perfect square for x equal to:

Accepted Answer

Given expression = (11.98)2 + (0.02)2 + 11.98 x x. For the given expression to be a perfect square, we must have 11.98 x x = 2 x 11.98 x 0.02 or x = 0.04

Question 10

When 0.232323..... is converted into a fraction, then the result is:

Accepted Answer

0.232323... = 0.23 = 23 99

Question 11

The least among the following is:

Accepted Answer

1 � 0.2 = 1 = 10 = 5; 0.2 2 0.2 = 0.222...; (0.2)2 = 0.04. 0.04 < 0.2 < 0.22....<5. Since 0.04 is the least, so (0.2)2 is the least.

Question 12

What decimal of an hour is a second?

Accepted Answer

Required decimal = 1 = 1 = .00027 60 x 60 3600

Question 13

0.0203 x 2.92 =? 0.0073 x 14.5 x 0.7

Accepted Answer

0.0203 x 2.92 = 203 x 292 = 4 = 0.8 0.0073 x 14.5 x 0.7 73 x 145 x 7 5

Question 14

0.002 x 0.5 =?

Accepted Answer

2 x 5 = 10. Sum of decimal places = 4 ∴ 0.002 x 0.5 = 0.001

Question 15

(0.1667)(0.8333)(0.3333) is approximately equal to: (0.2222)(0.6667)(0.1250)

Accepted Answer

Given expression = (0.3333) x (0.1667)(0.8333) (0.2222) (0.6667)(0.1250) = 3333 x 1 x 5 6 6 2222 2 x 125 3 1000 = ❨ 3 x 1 x 5 x 3 x 8 ❩ 2 6 6 2 = 5 2 = 2.50

Question 16

The correct expression of 6.46 in the fractional form is:

Accepted Answer

6.46 = 6 + 0.46 = 6 + 46 = 594 + 46 = 640 . 99 99 99

Question 17

Which of the following fractions is greater than 3 and less than 5 ? 4 6

Accepted Answer

3 = 0.75, 5 = 0.833, 1 = 0.5, 2 = 0.66, 4 = 0.8, 9 = 0.9. 4 6 2 3 5 10 Clearly, 0.8 lies between 0.75 and 0.833. ∴ 4 lies between 3 and 5 . 5 4 6

Question 18

0.04 x 0.0162 is equal to:

Accepted Answer

4 x 162 = 648. Sum of decimal places = 6. So, 0.04 x 0.0162 = 0.000648 = 6.48 x 10 -4

Question 19

.009 = .01 ?

Accepted Answer

Let .009 = .01; Then x = .009 = .9 = .9 x .01 1

Question 20

3.87 - 2.59 =?

Accepted Answer

3.87 - 2.59 = (3 + 0.87) - (2 + 0.59) = ❨ 3 + 87 ❩ - ❨ 2 + 59 ❩ 99 99 = 1 + ❨ 87 - 59 ❩ 99 99 = 1 + 28 99 = 1.28.

Decimal Fraction Questions