Fractions - Aptitude Questions and Answers

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Which one among the following is the largest?

A)

7/9


B)

11/14


C)

3/4


D)

10/13



Correct Answer :

11/14


Explanation :

We have, 7/9 , 11/14 , 3/4 , 10/13

L.C.M. of (9, 14, 4, 13) = 3276
Now 7*364/3276 , 11*234/3276 , 3*819/3276 , 10*252/3276

2548/3276 , 2574/3276 , 2457/3276 , 2520/3276

So, Largest number = 2574/3276 = 11/14

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Which of the following is least number?

A)
13/22

B)
15/24

C)
17/26

D)
19/28


Correct Answer :

13/ 22


Explanation :

Converting into decimal

13/22=>.59~ ,15/24=>.62~ , 17/26=>.65~ and 19/28=> .67~

there .59~ < .62~ < .65~ < .67~ ,So correct answer is 13/22

In a division sum, the divisor is 10 times the quotient and 5 times the remainder. If the remainder is
46, then find the dividend?

A)
4236

B)
4306

C)
4336

D)
5336


Correct Answer :

5336


Explanation :

Dividend = (Divisor x Quotient) + Remainder

according the question
remainder=46
divisor = 5*remainder=5*46 = 230
divisor=10*quotient
quotient =230/10=>23

So dividend =(230*23)+46=5336

4.86¯ − 3.71¯ = ?

A)
1.6¯

B)
1.5¯

C)
1.14¯

D)
1.15¯


Correct Answer :

1.15¯


Explanation :

4.86¯ − 3.71¯ =4+(86/99) − 3+(71/99) = (1+15/99) =1.15¯

0.004 × 0.5 = ?

A)
2

B)
0.02

C)
0.002

D)
0.0002


Correct Answer :

0.002


Explanation :

0.004 × 0.5 = 0.002

3 * 0.3 * 0.03 * 0.003 * 30=?

A)
.0000243

B)
.000243

C)
.00243

D)
.0243


Correct Answer :

.00243


Explanation :

3 * 3 * 3 * 3 * 30 = 2430
Thus, 3 * 0.3 * 0.03 * 0.003 * 30 = 0.002430 (Six places of decimal )

Express 0.5¯ as a vulgar fraction?

A)
5/10

B)
5/12

C)
5/9

D)
5/6


Correct Answer :

5/9


Explanation :

0.5¯ =5/9

Which of the following is larger than 3/5?

A)
1/2

B)
39/50

C)
59/100

D)
3/10


Correct Answer :

1/2

What should come in place of the question mark (?) in the following question 1111.1 + 111.11 + 11.111 = ?

A)
1232.231

B)
1233.123

C)
1332.331

D)
1233.321


Correct Answer :

1233.321


Explanation :

the sum of the expression is
111.1 + 111.11 + 11.111 = 1233.321

1.4¯ is equal to which of the following?

A)
14/10

B)
13/9

C)
14/9

D)
14/90


Correct Answer :

13/9


Explanation :

1.4¯ = 1 + 0.4¯ = 1 + (4/9) = 13/9

Find the equivalent fractions of 2/5 having numerator 6 ?

A)
6/15

B)
6/10

C)
2/6

D)
6/5


Correct Answer :

6/15


Explanation :

2*3 = 6. This means we need to multiply both the numerator and denominator by 3 to get the equivalent fraction.Hence, required equivalent fraction
2/5 = 2 * 3 / 5*3 = 6/15

Which is smallest among 3/4 ,1/3 ,2/7 and 3/5 ?

A)
3/4

B)
1/3

C)
2/7

D)
3/5


Correct Answer :

2/7


Explanation :

3/4 = 0.75, 1/3 = 0.33 ,2/7 = 0.28 and 3/5 = 0.60
Clearly, 0.28 ie, 2/7 is smallest.

What number must subtracted from both the numerator and the denominator of the fraction 27/35 so that it becomes 2/3 ?

A)

6


B)

8


C)

9


D)

11



Correct Answer :

11


Explanation :

Let the number be x. Then,
(27 - x)/(35 - x) = 2/3
3(27-x) = 2(35-x)
81 - 3x = 70 - 2x
81 - 70 =3x - 2x
x =11

So, Required number is 11.

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