# Decimal

0
1997

Directions: Each of the questions given below is followed by series of options among which you have to choose the best one. You can also review your choices by clicking into answer section.

1. The value of 0.57 is:

A. 57/10

B. 26/45

C. 57/99

D. 52/99

Ans: Option B

Explanation:

No explanation

2. 0.009/?=0.01

A. 0.0009

B. 0.09

C. 0.9

D. 9

Ans: Option C

Explanation:

Let.009 x =.01;

Then x =.009/.01= .9/1=.9

3. 4211.01 + 22.261 – ? = 2645.759

A. 1587.512

B. 1586.532

C. 1588.021

D. 1586.422

Ans: Option A

Explanation:

Required Value = 4211.01 + 22.261 – 2645.759 = 1587.512

4. Which of the following is equal to 0.024 × 106?

A. 2400000

B. 240000

C. 24000

D. 2400

Ans: Option C

Explanation:

0.024 × 106 = 0.024 × 1000000 = 24000

5. Given that 268  74 = 19832, find the values of 2.68  0.74

A. 1.9832

B. 1.9831

C. 1.8831

D. 1.9952

Ans: Option A

Explanation:

Sum of decimal places = (2 + 2) = 4

2.68 * 0.74 = 1.9832

6. On simplification 1/0.04 is equal to:

A. 2.5

B. 2/5

C. 25

D. 1/40

Ans: Option C

Explanation:

No explanation

7. If (1 / 3.718) = 0.2689, Then find the value of (1 / 0.0003718).

A. 2699

B. 2690

C. 2680

D. 2689

Ans: Option D

Explanation:

1/0.0003718

(10000/3.718)

10000*(1 / 3.718)

10000*0.2689=2689.

8. Evaluate: (2.39)2 – (1.61)2 / (2.39 – 1.61)

A. 2

B. 4

C. 6

D. 8

Ans: Option B

Explanation:

(a2 – b2)/(a-b) = (a + b)*(a – b)/ (a-b)= (a + b)= (2.39 + 1.61) = 4.

9. 54.327 x 357.2 x 0.0057 is same as

A. 5.4327 x 3.572 x 5.7

B. 5.4327 x 3.572 x 0.57

C. 54327 x 3572 x 0.0000057

D. None of these

Ans: Option

Explanation:

Number of decimal places in the given expression = 8

Number of decimal places in A. = 8

Number of decimal places in B. = 9

Number of decimal places in C. = 7

Clearly, the expression in A. is the same as the given Expression.

10. The rational number for recurring decimal 0.125125…. is:

A. 63/487

B. 119/993

C. 125/999

D. None of these

Ans: Option C

Explanation:

0.125125… = 0.125¯¯¯¯¯ = 125/999

11. The expression (11.98*11.98 + 11.98*x + 0.02*0.02) will be perfect square of x if x equal to………

A. 0.02

B. 0.04

C. 0.2

D. 0.4

Ans: Option B

Explanation:

(11.98)² + (0.02)² + 11.98 * x

2 *(11.98)  (0.02)² = 11.98 * x or x = 0.04

12. Convert 0.343434….. into a fraction

A. 3199

B. 3299

C. 3399

D. 3499

Ans: Option D

Explanation:

0.343434…..=0.34¯¯¯¯¯=3499

[Reference : Conversion of Recurring Decimals into Vulgar Fractions]

13. The value of (3.75 * 3.75 – 2*3.75*2.75 + 2.75*2.75 ) is.

A. 1

B. 4.75

C. 1.75

D. 6.5

Ans: Option A

Explanation:

(3.75)² – 2*3.75*2.75 + (2.75)² use formula (a² – 2ab + b²) = (a – b)²

14. Which of the following are in descending order of their value ?

A. 1/3 , 2/5 , 3/7 , 4/5 , 5/6 , 6/7

B. 1/3, 2/5 , 3/5 , 4/7 , 5/6 , 6/7

C. 1/3 , 2/5 , 3/5 , 4/6 , 5/7 , 6/7

D. 6/7 , 5/6 , 4/5 , 3/7 , 2/5 , 1/3

Ans: Option D

Explanation:

No explanation

15. 4×0.30−3×0.5000.003= ?

A. 10

B. -10

C. 100

D. -100