Uploaded by Sayan Majumder

Approximation

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What approximate value should come in place
of question mark (?) in the following questions?
िन िल खत
म
िच के थान पर ा
Q.13 67% of 801 – 231.17 = ? – 23% of 789
a) 490
b) 440
c) 540
d) 520
e) 590
अनुमािनत मान आना चािहए?
Q.14 (15.95) + (3.01) − 111.99 × 2.02 + (9.98) = ?
a) 95
b) –95
c) 105
d) –105
e) –115
Q.15 126.99% of 1539.98 + 5.5% of 149.99 +
103.98% of 7 = ?
a) 1860
b) 1970
c) 2080
d) 2150
e) 1055
Q.16 1559.95 −7.99 × 24.96 − ? = 1154
a) 14
b) 24
c) 32
d) 18
e) 8
Q1.
√625.021 + √1599.78 ÷
(560.31% of 30 – 250.23% of 62) = ?
a) 2
b) 3
c) 4
d) 5
e) 6
Q.2 ? = 729.11 ÷ 26.97 × 81.11 ÷ 35.91 × 108.18
a) 2187
b) 6561
c) 729
d) 243
e) 81
Q.3 ? + (32.08) – √144.44 × (7.99)
= 72.9% of 401.1
a) 3
b) 12
c) 8
d) 4
e) 6
Q.4. 47.87% of 350 + 60.11% of 280 = 96.98% of
299.78 +? % of 150
a) 30
b) 40
c) 50
d) 80
e) 45
?
Q.5 2 = 128.18 × 511.77 ÷ 2047.59 ÷ 31.89 × 15.91
a) 3
b) 6
c) 8
d) 5
e) 4
Q.6. 16.02 + 144 ÷ 23.96+ ? = 83.567
a) 16
b) 62
c) 58
d) 30
e) 44
Q.7 2430 ÷ 16 − 16.97 + (? ) = 164
a) 1089
b) 841
c) 1369
d) 289
e) 529
Q.8 9601÷ 11.98 × (529.01) + 95.88 = ?
a) 17470
b) 17496
c) 18496
d) 18086
e) 18156
Q.9 156.25 × 12.4 + 1.8 × 52.05 =? −175.85
a) 2025
b) 2000
c) 2128
d) 2152
e) 2019
Q.10 ? % of (5224 ÷ 5.001 × 3 ÷ 11) = 375.05
a) 80
b) 32
c) 98
d) 58
e) 132
Q.11 499.99 + 1999 ÷ 39.99 × 50.01 = ?
a) 3200
b) 2700
c) 3000
d) 2500
e) 2400
Q.12 73.99% of 1299 + 9.98% of 1899 = ?
a) 1250
b) 1230
c) 1150
d) 1180
e) 1200
Q.17 1599 ÷ 39.99 + × 2449 − 120.05 = ?
a) 1680
d) 1880
b) 1940
e) 1780
c) 1640
Q.18 1576 ÷ 45.02 + 23.99 × √255 =?
a) 340
b) 420
c) 380
d) 460
e) 360
Q.19 ? +30.01% of 651 ÷ 25.05% of 59.98 = 135
a) 68
b) 140
c) 122
d) 78
e) 128.5
Q.20 3899 ÷ 11.99 – 2379 ÷ 13.97 =?
a) 125
b) 250
c) 155
d) 135
e) 225
Q.21 √575 ÷? × (14.98) = 450
a) 15
b) 10
c) 7
d) 4
e) 12
Q.22 (30.01) − (19.98) −? = (21.81)
a) 49
b) 50
c) 30
d) 39
e) 16
Q.23 820.15 + 2379.85 + 140.01 × 4.99 = ?
a) 4400
b) 3900
c) 3000
d) 4000
e) 4300
Q.24 39.97% of 649.8 ÷ 13.05 = 45.12− ?
a) 40
b) 15
c) 25
d) 10
e) 30
Q. 25 (674.87 +59.98) ÷ 35.02 = ?
a) 29
b) 27
c) 19
d) 21
e) 11
Q.26 30.06% of 560.14 + 53.02% of 1100) ÷ 8 = ?
a) 78
b) 94
c) 99
d) 81
e) 85
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Q.27 ? × 5 × 4.92 − 13.13 × 4.02 × 4 = 117
a) 18
b) 13
c) 7
d) 21
e) 9
Q.28 (9117.88 − 8021.85 + 903.92) × 12 = 1500 ×?
a) 12
b) 8
c) 15
d) 22
e) 4
Q.29 √?+ √1229 × 14 − 12.06 = 511
a) 729
b) 1849
c) 2209
d) 1369
e) 1089
Q.30 1019.95 × 5.04 + 237 − 302.11 = ?
a) 5125
b) 5000
c) 5035
d) 5005
e) 5085
Q.31 23% of 6783 + 57% of 8431 = ?% of 12720
a) 40
b) 60
c) 55
d) 50
e) 45
Q.32 180% of 25501 + 50% of 28999 =?
(a) 62400
(b) 64000
(c) 60400
(d) 64200
(e) 60600
Q.33 171.995 × 14.995 ÷ 25 = ?
(a) 103
(b) 115
(c) 110
(d) 125
(e) 118
Q.34 175 × 28 + 275 × 27.98 = ?
(a) 11800
(b) 12600
(c) 12800
(d) 11600
(e) 16200
Q.35 324.995 × 15.98 ÷ 4.002 + 36.88 = ?
(a) 1300
(b) 1230
(c) 1340
(d) 1380
(e) 1390
Q.36 294.01 × . − 19.99% of 119.99x = 254.9 ÷ 1.9
a) 10
d) 5
Q.37 55.2 ×
a) 17.5
d) 15
b) 16
e) 12
c) 8
+ 499.9 − 127.9 =? % of 5600
b) 12.5
e) 8
c) 10
Q.38. 630 × ? +599.85 − 55% of 12000 = 37 %
of 9200
a) 12
d) 20
Q.39
.
?
9900
a) 24
d) 18
Q.40. 8099.9 ×
a) 22500
b) 15200
c) 16200
d) 18200
e) 19200
Q.41. 119.89% of 2000.23 + (35.96) −
59.49% of 2999.89 = (49.89) −?
a) 559
b) 569
c) 589
d) 549
e) 539
Q.42 (11.87) + 12.493 × 15.89 − √13224.98 −
(? ) = (14.96)
a) 9
b) 2
c) 8
d) 5
e) 10
c) 15
+ 54.9% of 1800 − 389.9 = 11 % of
.
Q.43
= (8.89) − 14.5 × 39.89 + (1.95) − 3
?
a) 8
d) 9
b) 2
e) 5
c) 3
429.87 + 520.23 + √120.97 = (? ) +
Q.44
√35.98
a) 2
b) 3
c) 8
d) 5
e) 9
Q.45 (23.89) + √3598.97 − 171.93 + (? )
= (27.98) + 4
a) 18
b) 24
c) 28
d) 22
e) 26
Q.46 (13.97) − 39.87% of 239.97 + (29.87) +
330.97 = (? )
a) 18
b) 19
c) 17
d) 11
e) 15
Q.47
?
.
+ 209.87 + (69.87) − 1999.83 =
(54.87) + 99.85
a) 235.5
b) 245.5
c) 225.5
d) 215.5
e) 205.5
Q.48 ? × 12.97 + (24.97) − (19.89) + 363.83 =
(27.93)
a) 10
b) 20
c) 18
d) 12
e) 15
Q.49
b) 18
e) 8
+ 2699.8 × − 1799.8 = 62 % of ?
.
?
+ 14.87 × 35.88 +
a) 12
d) 9
b) 15
e) 11
.
.
= (25.89)
c) 13
Q.50 48.01% of 249.99 + x% 499.99 = (11.01) +
(2.11)
b) 28
e) 32
c) 20
a) 2
d) 1
b) 3
e) 6
c) 5
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Solution
Sol. 1 d
? ≃ √625 + √1600 ÷
?≃
560 × 30 250 × 62
–
100
100
(25 + 40)
65
≃
=5
(168 – 155) 13
Sol. 2 b
729 × 81 × 108
27 × 36
= 6561
Sol. 3 e
? + (32) – √144 × 8 ≃ 73% of 400
?² + 1024 – 12 × 64 = 292
?² ≃ 292 – 1024 + 768
?² ≃ 36
?≃6
Sol. 4 a
48% of 350 + 60% of 280 ≃ 97% of 300 +? %
of 150
⇒ ? × 1.5 ≃ 168 + 168 – 291
45
?≃
= 30
1.5
Sol. 5 e
128 × 512 × 16
2? ≃
≃ 16
2048 × 32
2? ≃ 2 ⇒ ? = 4
Sol. 6 b
16.02 + 144 ÷ 23.96+ ? = 83.567
?≃
⇒ 16 +
+ ? = 84
⇒ 16 + 6 + ? = 84
⇒ 22 + ? = 84
∴ ? = 84 − 22 = 62
Sol. 7 b
− 16.97 + √? = 164
⇒
− 17 + √? = 164
⇒ 135 + √? = 164
⇒ √? = 29
∴ ? = 29 × 29 = 841
Sol.8 c
.
× √529.01 + 95.88 = ?
∴ ?=
× 23 + 96
= 800 × 23 + 96 = 18496
Sol. 9 d
156.25 × 12.4 + 1.8 × 52.05 =? −175.85
⇒ 156 × 12 + 2 × 52 =? −176
⇒ 1872 + 104 = ? −176
⇒ 1976 + 176 = ?
∴ ? = 2152
Sol. 10 e
5224
3
? % of
×
= 375.05
5.001 11
?
⇒
×
× = 375
∴?=
×
×
×
=
= 131.60
≈ 132
Sol.11 c
? ≈ 500 + 50 × 50
≈ 3000
Sol.12 c
×
×
?≈
+
≈ 960 + 190
≈1150
Sol.13 a
67 × 800
23 × 790
?≈
− 231 +
100
100
≈ 536 − 231 + 181.7
≈ 490
Sol.14 b
129 − 224 = −95
Sol.15 b
? ≈ 1956 + 8.25 + 7.28 ≈ 1970
Sol.16 a)
1560 − 8 × 25 −? = 1154
⇒ 1560 − 200 −? = 1154
⇒ 1360 −? = 1154
⇒ ? = 1360 − 1154 = 206
∴ ? = √206 = 14
Sol.17 d)
? = 1600 ÷ 40 + × 2450 − 120
= 1600 ÷ 40 + 1960 − 120
= 40 + 1960 − 120 = 1880
Sol.18 b)
? = 1575 ÷ 45 + 24 × √256
= 35 + 24 × 16 = 35 + 384 = 419 ≈ 420
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Sol.19 c)
×
?+
×
÷
⇒ √? + 490 − 12 = 511
⇒ √? = 511 − 478 = 33
∴ ? = (33) = 1089
Sol.30 c)
? = 1020 × 5 + 237 − 302 = 5100 + 237 −
302
= 5337 − 302 = 5035
Sol.31 d)
= 135
⇒ ? +195 ÷ 15 = 135
⇒ ? +13 = 135
∴ ? = 135 − 13 = 122
Sol.20 c)
? = 3900 ÷ 12 − 2380 ÷ 14
= 325 − 170 = 155
Sol.21 e)
√
×
× (15) = 450 ⇒
?
= 450
?
⇒ 450 ×? = 24 × 15
×
∴ ?=
= 12
Sol.22 e)
30 − 20 −? = 22
⇒ 900 − 400− ? = 484
⇒ 500− ? = 484
∴ ? = 500 − 484 = 16
Sol 23 b)
? = 820.15 + 2379.85 + 140 × 5
= 3200 + 700 = 3900
Sol.24 c)
40% × 650 ÷ 13 = 45− ?
×
⇒
×
= 45−?
⇒ 20 = 45−?
∴ ? = 45 − 20 = 25
Sol. 25 d)
? = (675 + 60) ÷ 35 =
= 21
Sol.26 b)
.
?=
=
(
×
.
.
+
)
.
=
.
×
.
÷8
= 93.95 ≈ 94
Sol.27 b)
? × 5 × 5 − 13 × 4 × 4 = 117
⇒ 25 ×? = 117 + 208 = 325
∴ ?=
= 13
Sol. 28 c)
(9118 − 8022 + 904) × 12 = 1500 × ?
⇒ 1500 ×? = 2000 × 12
∴ ?=
×
= 16 ≈ 15
Sol.29 e)
√? + 35 × 14 − 12.06 = 511
⇒?
⇒ ? ≃ 50
Sol.32(c)
?≃ 1.8×25500+50/100
×29000 ≃ 60,400
Sol. 33. (a)
? ≃ 172 × 15 ÷ 25 ≃ 103
Sol. 34. (b)
? ≃ 175 × 28 + 275 × 28 ≃ 12,600
Sol. 35. (c)
? ≃ 325 × 16 ÷ 4 + 37 ≃ 1337 ≃ 1340
Sol. 36 a)
≈ 294 × − × 120𝑥 =
≈ 36.75𝑥 − 24𝑥 = 127.5
≈ 12.75𝑥 = 127.5
≈ 𝑥 = 10
Sol.37 b)
× 5600 = 8 × 41 + 500 − 128
𝑋=
𝑋 = 12.5
Sol.38 c)
630𝑋 + 600 = 37.5 ×
+
× 12000
630𝑋 + 600 = 3450 + 6600
630𝑋 = 10050 − 60
𝑋=
𝑋 = 15
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Sol.39 a)
=
+
× 1800 =
×
× 9900 +
390
=
= 1490 − 990
𝑋=
𝑋 = 24
Sol.40 e)
.
= 8100 ×
+ 2700 × − 1800
= 9300 + 4500 − 1800
𝑋=
× 2000 + (36) −
×
+ 900 + 331 = (? )
1000 + 331 = (? )
? = 11
Sol.47 c)
.
?
.
?
.
× 3000 = (50) −?
2400 + 1296 − 1785 = 2500−?
2500 − 1911 = ? ? = 589
Sol.42 b)
(12) + 12.5 × 16 − √13225 − (? ) = (15)
144 + 200 − 115 − (? ) = 225
(? ) = 229 − 225
? =2
Sol.43 e)
?
196 −
×
𝑋 = 19200
Sol.41 c)
?
Sol.45 a)
(23.89) + √3600 − 172 + (? ) = (28) + 4
576 + 60 − 172 + (? ) = 784 + 4
464 + (? ) = 788
(? ) = 788 − 464
? = 18
Sol.46 d)
(14) − 40% of 240 + (30) + 331 = (? )
= (9) − 14.5 × 40 + (2) − 81
= 729 − 580 + 4 − 81
?=
?= 5
Sol.44 d)
430 + 520 + √121 = (? ) + √36
√430 + 520 + 11 = (? ) + 6
31 − 6 = (? )
?= 5
+ 210 + (70) − 2000 = (55) + 100
+ 3110 = 3125
? +134.5 = 15 × 24
? = 360 − 134.5
? = 225.5
Sol.48 e)
? × 13 + (25) − (20) + 364 = (28)
? × 13 + 225 + 364 = 784
? × 13 = 784 − 589
?=
? = 15
Sol.49 d)
?
?
+ 15 × 36 +
= (26)
+ 540 + 70 = 676
594 =? (676 − 610)
?=
?= 9
Sol.50 d)
× 250 +
× 500 ≈ 11 + 2
120 + 5𝑥 ≈ 121 + 4
5𝑥 ≈ 5
𝑥≈1
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us @ mathsbyarunsir003@gmail.com or whatsapp @ 8881331466
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us @ mathsbyarunsir003@gmail.com or whatsapp @ 8881331466
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