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Fractions and Decimals

Fractions and Decimals
If √15 = 3.88, the value of √5/3 is ?

12.9
1290
129
1.29

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

√5/3 = √15/9= √15/3= 3.88/3 = 1.29

Fractions and Decimals
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:

0.04
0.00004
0.004
0.0004

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given expression = (11.98)² + (0.02)² + 11.98 x x.For the given expression to be a perfect square, we must have11.98 x x = 2 x 11.98 x 0.02 or x   = 0.04

Fractions and Decimals
(0.16)² - (0.12)² = ?

11.2
0.0112
1.12
.112

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

? = a² - b² = (a + b)(a - b)Hence, (0.16)² - (0.12)²= (0.16 + 0.12)(0.16 - 0.12)= 0.28 x 0.04 = 0.0112

Fractions and Decimals
12.1212 + 17.0005 - 9.1102 = ?

2001.15
200.115
20.0115
2.00115

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given Expression,= (12.1212 + 17.0005) - 9.1102= (29.1217 - 9.1102)= 20.0115.

Fractions and Decimals
[{(0.1)² - (0.01)²} / {0.0001 + 1 }] is equal to ?

50
25
100
75

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given expression = (0.01 - 0.0001) / (0.00001 + 1)= (.0099 / .0001) + 1 = 99 + 1= 100

Fractions and Decimals
If 2994 ÷ 14.5 = 172, then 29.94 ÷ 1.45 = ?

172
1.72
None of these
17.2

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

29.94 / 1.45 = 299.4 / 14.5 = [(2994 /14.5) x (1 / 10)] [ Here, Substitute 172 in the place of 2994/14.5 ]=172 / 10= 17.2

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