Simplification

      No Comments on Simplification




Directions (Q. 1-5): What will come in place of question mark (?) in the following questions?
1). 3/8 of 4/9 of 1575 + (√?) – 32% of 786 = 66.98
a) √56
b) 56
c) (56)2
d) 36
e) (36)2

2). 3√97336 + 2√6889 ÷ 2? – 3/4 of 65 + 52 = 43
a) 4
b) 16
c) 8
d) 2
e) 2.5

3). (23)3 × (22)2 × (82)3/2 / (22)6 = (4)?
a) 8
b) 10
c) 2.5
d) 6
e) 5

4). (4 × 18)3.35 × (8)5.2 × (64)7.3 × (27 × 3) 9.9 = (72)?
a) 23.15
b) 24.15
c) 3.35
d) 7.3
e) 20.75

5). 4 51/13 × 8 3/37 × 1 7/12 × [(16)2 + 3 ] = 23 × ?
a) 1141.584
b) 1151.584
c) 11415.84
d) 11515.84
e) None of these

Explanation With Answer Key:

1). C)
3/8 × 4/9 × 1575 + (√?) – 32% of 786 = 66.98
1/2 × 525 + (√?) – (32/100) × 786 = 66.98
262.5 (100) + (√?) (100) – 25152 = 66.98(100)
26250 – 25152 + (√?) (100) = 6698
(√?) (100) = 5600
? = (56)2

2). D)
3√97336 + 2√6889 ÷ 2? – 3/4 of 65 + 52 = 43
46 + 83/2? – 48.75 + 25 = 43
83/20.75 = 2?
4 = 2?
? = 2

3). E)
(23)3 × (22)2 × (82)3/2 / (22)6 = (4)?
(4)? = 29 × 24 × 83 / 212
(4)? = 213 – 12 ×83
(4)? = (4)5
? = 5

4). A)
(72)? = (4 × 18)3.35 × (8)5.2 × (64)7.3 × (27 × 3) 9.9
(72)? = (4 × 2 × 9)3.35 × (8)5.2 × (8 ×8)7.3 × (9 ×9)9.9
(72)? = (8)3.35+5.2+7.3+7.3 × (9)3.35+9.9+9.9
(72)? = (72)23.15

5). A)
23 x = 103/ 13 x 299/ 37 x 19/12 x 259

x=1141.584

Leave a Reply

Your email address will not be published. Required fields are marked *