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Fractions and Decimals

Fractions and Decimals
13.065 x 13.065 - 3.065 x 3.065 =?

1.613
1613
161.3
16.13

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given expression =(13.065)²-(3.065)² =(13.065 + 3.065) x (13.065 - 3.065)=16.13 x 10 = 161.3

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
None of these
3/20

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

Fractions and Decimals
√441.441 + √256.256 = ?

35
39
37
41

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

? = √441.441 + √256.256= √441 + √256= (21 + 16) = 37

Fractions and Decimals
If 1.5x = 0.04y, then the value of ( (y - x) / (y+x) ) is :

71/74
61/63
73/77
65/67

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

x / y  = 0.04 / 1.5 = 4 / 150 = 2 / 75.= > ( (y - x) / (y+x) ) = (1 - (x / y)) / ( 1 + ( x / y)) = (1 - 2/75) / (1 + 2/75) = 73/77.

Fractions and Decimals
475.124 x 15.98 ÷ 8.001 + 33.33 = ?

883.578
1083.578
983.578
1183.578

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

? = 475.124 x (15.98 ÷ 8.001) + 33.33= (475.124 x 16/8) + 33.33 = 950.248 + 33.33 = 983.578

Fractions and Decimals
13.03 x 0.0001 = ?

0.0240
0.0024
0.204
0.24

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given expression is, 0.008 x 0.3The multiplication value without decimal point = 8 x 3 = 24Sum of the number of decimal places in the given numbers = 3 + 1 = 4Now, in the product, the decimal point is marked off to obtain as many places of decimal.Then the answer is 0.0024.

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