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Approximation
Directions (Q. 1 – 5): what approximate value should come in place of question mark (?) in the following questions?
1) √(21609.28) ÷ 7.12 × 15.21 = ? – 16759 ÷ 9
a) 2850
b) 3435
c) 2180
d) 1965
e) 1350
2) (12.89)2 + 48 % of 708 – (2/7) of 1224 = ? – (6.12)3
a) 370
b) 290
c) 210
d) 330
e) 425
3) 34484 ÷ 11 + (5/9) of 12149 + 56 % of 8978 = ?2 – 451.32
a) 118
b) 132
c) 126
d) 130
e) 124
4) ? % of 502 – 8.21 % of 3011 – (3/8) of (2/3) of 71 = 23
a) 68
b) 44
c) 32
d) 56
e) 75
5) (17.77)2 – (7/4) × 36 ÷ 9 + (3.12)3 = ? + (11.13)2
a) 185
b) 223
c) 162
d) 157
e) 140
Simplification
Directions (Q. 6 – 10): what value should come in place of question mark (?) in the following questions?
6) (3/8) of 2400 = 28 % of 1350 + (2/5) of (?)
a) 1305
b) 1780
c) 2156
d) 2378
e) None of these
7) (18)2 ÷ 6 × 11 + 272 = 3 × ? – 45 % of 1500
a) 528
b) 632
c) 724
d) 666
e) None of these
8) 2080 ÷ (32 % of 250) = 36 × 5 7/9 of (? ÷ 104)
a) 18
b) 13
c) 24
d) 27
e) None of these
9) 221 ÷ 13 + (3/11) of 1155 + 27 % of 5400 = ?2 – 235
a) 38
b) 52
c) 45
d) 26
e) None of these
10) (51110 ÷ 19) + (2/9) of 11565 + 262 = 40 % of ?
a) 9850
b) 17560
c) 21820
d) 14840
e) None of these
Answers :
Directions (1-5) :
1) Answer: c)
√(21609) ÷ 7 × 15 = x – 16758 ÷ 9
(147/7) * 15 = x – (16758/9)
315 + 1862 = x
x = 2177 = 2180
2) Answer: a)
132 + 48 % of 700 – (2/7) of 1225 = ? – 63
169 + (48/100) * 700 – (2/7) * 1225 + 216 = x
x = 169 + 336 – 350 + 216 = 371
x = 370
3) Answer: e)
34485 ÷ 11 + (5/9) of 12150 + 56 % of 9000 = x2 – 451
(34485/11) + (5/9) * 12150 + (56/100) * 9000 = x2 – 451
3135 + 6750 + 5040 + 451 = x2
x2 = 15376
x = 124
4) Answer: d)
x % of 500 – 8 % of 3000 – (3/8) of (2/3) of 72 = 23
x * (500/100) – (8/100) * 3000 – (3/8) * (2/3) * 72 = 23
5x – 240 – 18 = 23
5x = 23 + 240 + 18
5x = 281
x = 281/5 = 56
5) Answer: b)
182 – (7/4) × (36 ÷ 9) + 33 = x + 112
324 – 7 + 27 – 121 = x
x = 223
Ditections (6-10) :
6) Answer: a)
(3/8) * 2400 = (28/100) * 1350 + (2/5) * x
900 = 378 + 2x/5
900 – 378 = 2x/5
x = 522 * (5/2) = 1305
7) Answer: d)
(18 * 18 * 11)/6 + 729 = 3x – (45/100) * 1500
594 + 729 = 3x – 675
1998 = 3x
x = 1998/3 = 666
8) Answer: b)
2080 ÷ [(32/100) * 2150] = 36 * (52/9) * (x/104)
2080/80 = 2x
26 = 2x
x = 26/2 = 13
9) Answer: c)
(221/13) + (3/11) * 1155 + (27/100) * 5400 = x2 – 235
17 + 315 + 1458 + 235 = x2
x2 = 2025
x = 45
10) Answer: d)
(51110/19) + (2/9) * 11565 + 676 = (40/100) * x
2690 + 2570 + 676 = 4x/10
5936 = 4x/10
x = 5936 * (10/4) = 14840
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