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Fractions and Decimals

Fractions and Decimals
By how much is 12% of 24.2 more than 10% of 14.2 ?

1.484
1.884
1.284
1.684

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Required difference = (12 x 24.2) / 100 - (10 x 14.2) / 100= 2.904 -1.42 = 1.484

Fractions and Decimals
By how much does 7/(8/9) exceeds (7/8)/9 ?

5 7/9
6 7/9
8 7/9
7 7/9

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Here, we have to find the value of 7/(8/9) - (7/8)/9.(7 x 9/8) - [(7/(8 x 9)]63/8 - 7/72[(63 x 9) - 7] / 72567 - 7/72 = 560/72 = 70/9 = 7 7/9.Hence, 7/(8/9) is greater than (7/8)/9 by 7 7/9.

Fractions and Decimals
(0.29)2 - (0.01)2/0.3 = ?

0.32
0.34
0.30
0.28

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

a² - b² = (a + b)(a - b)Hence,(0.29)² - (0.01)²/0.3 = (0.29 + 0.01)(0.29 - 0.01)/0.3= (0.3 x 0.28)/0.3 = 0.28

Fractions and Decimals
? % of 10.8 =32.4

500
600
100
300

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let k % of 10.8=32.4 ⇒ (k x 10.8) / 100 = 32.4⇒ k = (32.4 x 100 )/10.8 = 300

Fractions and Decimals
If 5/6 of a property worth be Rs.976500 then the value of 3/5 of the property is:

Rs. 703080
None of these
Rs. 903080
Rs. 803080

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the worth of total property be Rs.XWe have to find 3/5 of X.Given that, 5/6 th of the property = Rs.976500i.e., 5/6 x X = 976500X = 976500 x 6/5And, 3/5 of X = 3/5 x 976500 x 6/5 = 18 x 39060 = 703080Hence the answer is Rs. 703080

Fractions and Decimals
If 3 is added to the denominator of a fraction, it becomes 1/3 and if 4 be added to its numerator, It becomes 3/4, then fraction is ?

1/16
5/12
3/20
None of these

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the required fraction be p/q∵ p / (q + 3) = 1/3⇒ 3p - q = 3 ...(i)and, (p + 4) / q = 3/4 ⇒ 4p - 3q = -16 ...(ii)Solving these equations, we get p = 5, q = 12∴ Required fraction = 5/12

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