Q 1-The simplification of [0.2×0.2+0.02×0.02−0.4×0.02] / 0.36

A - 0.009

B - 0.09

C - 0.9

D - 9

Answer - B

Explanation

"0.2 x 0.2 + 0.02 x 0.02 - 0.4 x 0.02
= 0.2 0.2 + 0.02 x 0.02 - 2 x 0.2 x 0.02 
= (a² + b² - 2ab) = (a−b)² 
= (0.2−0.02)² 
= (0.18)² 
Given expression = [0.18×0.18] / 0.36"

Q 2-(7.5 x 7.5 + 37.5 + 2.5 x 2.5) is equal to

A - 30

B - 60

C - 80

D - 100

Answer - D

Explanation

"Given expression
 = ( 7.5 x 7.5 + 2 x 7.5 x 2.5 + 2.5 x 2.5) 
= (a² + 2ab +b²) = (a +b) ² 
= (7.5+2.5)² 
=10² 
= 100."

Q 3-(36.54)²−(3.46)²/? = 40

A - 3.308

B - 4

C - 33.08

D - 330.8

Answer - C

Explanation

"Let (36.54)² −(3.46)²/x= 40, 
then x = (36.54)²−(3.46)²/40
 = (36.54)²−(3.46)²/36.54+3.46 
= a²− b²/a+b
= (36.54 - 3.46)
 = 33.08"

Q 4-On simplification of (2.644)²− (2.356)²/0.288; we get

A - 1

B - 4

C - 5

D - 6

Answer - C

Explanation

"Given expression
= (2.644)− (2.356)²/0.288
= (2.644)²− (2.356)²/2.644−2.356 
= a²−b²/a−b = (a + b) 
= (2.644 + 2.356)
 = 5."

Q 5-Evaluate : (2.39)²−(1.61)²/2.39−1.61

A - 2

B - 4

C - 6

D - 8

Answer - B

Explanation

"Given expression 
= a²−b²/a−b 
=(a+b)(a−b)/(a−b)
= (a + b) 
= (2.39 + 1.61)
= 4"

Q 6-The value of (68.273)² - (31.763)² is :

A - 3.6474

B - 36.474

C - 364.74

D - 3647.4

Answer - D

Explanation

"Given expression 
= (a² - b²) = (a + b) (a - b) 
= (68. 237 + 31.763) ( 68.237 - 31.763) 
= (100 x 36.474) 
= 3647.4"

Q 7-The value of (.896×.763+.896×.237)/.7×.064+.7×.936) is

A - 0.976

B - 9.76

C - 1.28

D - 12.8

Answer - C

Explanation

"Given expression
= .896×(.763+.237)/.7×(.064+.936
= .896×1/.7×1= 8.96/
 = 1.28."

Q 8-The value of ( 8.6×5.3+8.6×4.7)/(4.3×9.7−4.3×8.7) is

A - 0.3

B - 6.847

C - 13.9

D - 20

Answer - D

Explanation

"Given expression 
= 8.6×(5.3+4.7)/4.3×(9.7−8.7)
 = 8.6×10/4.3×1
= 20"

Q 9-Simplify : 0.2×0.2+0.2×0.02/0.044

A - 0.004

B - 0.4

C - 1

D - 2

Answer - C

Explanation

"Given expression 
= 0.2×0.2+0.02/0.044
= 0.2×0.22/0.044 
= 0.044/0.044
= 1."

Q 10-The value of (4.7 x 13.26 + 4.7 x 9.43 + 4.7 x 77.31) is :

A - 0.47

B - 47

C - 470

D - 4700

Answer - C

Explanation

"Given expression 
= 4.7 x (13.26 + 9.43 + 77.31)
= 4.7 x 100 
= 470."

Q 11-337.62 + 8.591 + 34.4 = ?

A - 370.611

B - 380.511

C - 380.611

D - 426.97

Answer - C

Explanation

337.62+ 8.591+  34.4=380.611

Q 12-(0.2 x 0.2 + 0.01) (0.1×0.1+0.02)-¹ (0.1×0.1+0.02)-¹ is equal to

A - 5/3

B - 9/5

C - 41/4

D - 41/12

Answer - A

Explanation

"Given expression
 = 0.2×0.2+0.01/0.1×0.1+0.02
= 0.04+0.01/0.01+0.02
= 0.05/0.03
= 5/3"

Q 13-8.7 - [7.6 - {6.5 - (5.4 - 4.3 - 2)}] is simplified to :

A - 2.5

B - 3.5

C - 4.5

D - 5.5

Answer - C

Explanation

"Given expression 
= 8.7 - [7.6 - {6.5 - (5.4 - 4.3 - 2)}] 
= 8.7 - [7.6 - (6.5 - 3.1)]
 = 8.7 - (7.6 - 3.4) 
= 8.7 - 4.2 
= 4.5"

Q 14-138.009 + 341.981 - 146.305 = 123.6 + ?

A - 120.085

B - 120.85

C - 220.085

D - none of these

Answer - D

Explanation

"Let 138.009 + 341.981 - 146.305 
= 123.6 + x 
Then x = (138.009 + 341.981) - (146.305 + 123.6)
 = 479.99 - 269.905 
= 210.085"

Q 15-If 1³ + 2³ + ..............+ 9³ = 2025, then the value of (0.11)³ + (0.22)³..........+ (0.99)³ is close to :

A - 0.2695

B - 0.3695

C - 2.695

D - 3.695

Answer - C

Explanation

"(0.11)³ (0.22)³ +..........+(0.99)³ = (0.11)³ (1³ + 2³+............+9³)
 = 0.001331 x 2025
= 2.695275 
= 2.695"

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