Amar Sir: APPROXIMATE VALUES

1. Q: 2070.50 ÷ 15.004 + 39.001 × (4.999)² =? [Ans. (e) 1113]

(a) 1005 (b) 997 (c) 1049 (d) 1213 (e) 1113

2. Q: (1223.9975)^1/2 =? [Ans. (c) 34]

(a) 110 (b) 144 (c) 34 (d) 12.55 (e) 125

3. Q: {(20800)^1/2}^1/2 =? [Ans. (a) 12]

(a) 12 (b) 120 (c) 140 (d) 102 (e) 1020

4. Q: 85.147 + 34.912 × 6.2 +? = 802.293 [Ans. (e) 500]

(a) 400 (b) 450 (c) 550 (d) 600 (e) 500

Solution:

Detailed Explanation:

Concept: When we divide a number by any number, then we multiply both the numbers by 2 if they have 5 at the unit places. Even, if only divisor contains 5 at the unit place, then we multiply both the numbers by also.

For example, 275÷25 = 550÷50 = 55÷5 = 110÷10 = 11

Also, 312÷25 = 612÷50 = 1224÷100 = 12.24

1. Sol: 2070.50 ÷ 15.004 + 39.001 ´ (4.999)²

= 2×2070.50 ÷ 15.004×2 + (40-1) ×25

≡ 2×2070.50 ÷ 30 + 1000-25

≡ 2×207.050 ÷ 3.0 + 1000-25

≡ 2×207 ÷ 3 + 1000-25

≡ 2×69 + 1000-25

≡ 138 + 1000-25

≡ 113 + 1000

≡ 1113. Ans.

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Concept:

25² = (2×3) ×100 + 25 = 625

35² = (3×4) ×100 + 25 = 1225

45² = (4×5) ×100 + 25 = 2025

55² = (5×6) ×100 + 25 = 3025 and so on.

2. Sol: Since 1223.9975 ≡ 1224 ≡ 1225 ≡ 35²

So, (1223.9975)^1/2 = 35 ≡ 34. Ans.

Concept: When we have to find the square root of any number, then we find two consecutive squares in between it lies.

3. Sol: Since, 19600 < 20800 < 22500

196 < 208 < 225

Or, 14² < 208 < 15²

So, 140² < 20800 < 150²

It means that (20800)^1/2 lies between 140 and 150

140² = 19600

145² = 21025

150² = 22500

20800 is slight less than 145² (= 21025)

So, (20800)^1/2 = 143 or 144, which is again equal to 12²

Therefore, {(20800)^1/2}^1/2 ≡ {143 or 144}^1/2 = 12. Ans.

4. Sol. 85.147 + 34.912 ´ 6.2 +? = 802.293

Or, 85 + 35 × (6 + 0.2) +? = 802

Or, 85 + 210 + 7 +? = 802

Or, 302 +? = 802

Or? = 500. Ans.

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1. (i) 568945 + 698219 = ? [Ans. (c) 1267000]

(a) 1265000 (b) 1266000 (c) 1267000 (d) 1268000

(ii) 568945 + 698219 = ? [Ans. (d) 1267200]

(a) 1267000 (b) 1267100 (c) 1267300 (d) 1267200

(iii) 568945 + 698219 = ? [Ans. (b) 1267160]

(a) 1267100 (b) 1267160 (c) 1267200 (d) 1267250

(iv) 16243 + 9758 + 111087 = ? [Ans. (d) 137000]

(a) 134000 (b) 135000 (c) 136000 (d) 137000 (e) None

(v) 56824 – 7857 = ? [Ans. (a) 49000]

(a) 49000 (b) 46000 (c) 47000 (d) 48000 (e) None of these

(vi) 56884 – 7957 = ? [Ans. (a) 48900]

(a) 48900 (b) 48300 (c) 48600 (d) 48100 (e) None of these

(vii) 23015 + 13595 + 3738 [Ans. (a) 40000]

(a) 40000 (b)41000 (c) 42000 (d) 46000 (e) 50000

(viii) 73528 + 16796 + 9043 = ? [Ans. (c) 99400]

(a) 99200 (b) 99300 (c) 99400(d) 99500(e) 99600

(ix) 85779 + 201997 + 2738 – 75492 = ? [Ans. (b) 215000]

(a) 212000 (b) 215000 (c) 218000(d) 220000(e) 225000

(x) 1649 + 376 – 2009 + 8076 = ? [Ans.(e) 8100]

(a) 7900 (b) 7950 (c) 8000 (d) 8050 (e) 8100

(xi) ? + 786.09 – 900.13 = 6.22 [Ans. (b)120]

(a) 119 (b) 120 (c) 122 (d) 123 (e) 121

(xii) 2876.28 + 1215.38 + ? = 5432.45 [Ans. (a)1340]

(a) 1340 (b) 1240 (c) 1140 (d) 2100 (e) 1440

2. (i) 384 ´ 299 = ? [Ans. (c) 115000]

(a) 114000 (b) 113000 (c) 115000 (d) 112000 (e) 111000

(ii) 2006 ´ 440 = ? [Ans. (d) 883000]

(a) 880000 (b) 881000 (c) 882000 (d) 883000 (e) 884000

(iii) 628 ´ 149 = ? [Ans. (b) 93500]

(a) 92500 (b) 93500 (c) 90000 (d) 95500 (e) 96000

(iv) 628 ´ 143 = ? [Ans. (b) 90000]

(a) 92000 (b) 90000 (c) 91000 (d) 89000 (e) 96000

(v) 632 ´ 253 =? [Ans. (a) 160000]

(a) 160000 (b) 158000 (c) 155000 (d) 150000 (e) 154000

(vi) 904 ´ 14 ´ 0.04 = ? [Ans. (e) 505]

(a) 480 (b) 490 (c) 515 (d) 520 (e) 505

(vii) 216 ´ 48 ´ 9 = ? [Ans. (b) 92000]

(a) 90000 (b) 92000 (c) 98000(d) 95000 (e) 99000

(viii) 27 ´ 384 ´ 12 = ? [Ans. (b) 124000]

(a) 120000 (b) 124000 (c) 128000 (d) 130000 (e) 99000

(ix) 0.009 ´ 13.076 ´ 12.84 = ? [Ans. (b) 1.5]

(a) 1 (b) 1.5 (c) 1.9 (d) 2.1 (e) 2.5

3. (i) 810 ¸ 3.9 = ? [Ans. (b) 206]

(a) 200 (b) 206 (c) 210 (d) 212 (e) 220

(ii) 12675 ¸ 42 = ? [Ans. (d) 300]

(a) 300 (b) 290 (c) 280 (d) 305 (e) 309

(iii) 43976 ¸ 120 = ? [Ans. (c) 365]

(a) 350 (b) 360 (c) 365 (d) 378 (e) 385

4. (i) 105% of 369 = ? [Ans. (b) 390]

(a) 380 (b) 390 (c) 400 (d) 405 (e) 410

(ii) 212% of 669 = ? [Ans. (b) 1415]

(a) 1400 (b) 1415 (c) 1425 (d) 1450 (e) 1360

(iii) 93% of 551 = ? [Ans. (c) 510]

(a) 498 (b) 505 (c) 510 (d) 520 (e) 522

(iv) 24% of 560 = ? [Ans. (c) 135]

(a) 129 (b) 131 (c) 135 (d) 140 (e) 147

(v) 47% of 234 = ? [Ans. (b) 110]

(a) 100 (b) 110 (c) 117 (d) 120 (e) 125

(vi) 234 % of 47 = ? [Ans. (b)110]

(a) 100 (b) 110 (c) 117 (d) 120 (e) 125

(vii) 153% of 165 = ? [Ans. (c) 250]

(a) 225 (b) 240 (c) 250 (d) 260 (e) 325

(viii) 71% of 71 = ? [Ans. (c) 50.5]

(a) 49 (b) 50 (c) 50.5 (d) 51 (e) 51.5

(ix) 86% of 86 = ? [Ans. (b) 74]

(a) 70 (b) 74 (c) 79 (d) 82 (e) 85

(x) 128% of 128 = ? [Ans. (c) 165]

(a) 155 (b) 160 (c) 165 (d) 170 (e) 172

(xi) 85% of 85 = ? [Ans. (b) 72]

(a) 70 (b) 72 (c) 74 (d) 76 (e) 80

What approximate value will come in place of the question mark (?) in the following question?

5. 18.95 ´ 12.01 ¸ ? = 38 Allahabad Bank PO (M), 2004

(a) 6 (b) 2 (c) 3 (d) 4 (e) 7

6. 9876 ¸ 24.96 + 215.005 – ? = 309.99

SBI Associates PO Exam, 2002 [Ans. (c) 300]

(a) 395 (b) 295 (c) 300 (d) 315 (e) 310

7. 2070.50 ¸ 15.004 + 39.001 ´ (4.999) ² = ?

PNB Manag. Trainee Exam, 2003 [Ans.(e)1113]

(a) 1005 (b) 997 (c) 1049 (d) 1213 (e) 1113

= ? IBPS Jr. Executive Exam, 2002

(a) 110 (b) 144 (c) 34 (d) 12.55 (e) 125

9. 503 ´ 201 = ? IBPS Jr. Executive, 2002[Ans. (a) 101100]

(a) 101100 (b) 100000 (c) 110000 (d) 100003 (e) 1000103

10. 1205 ¸ 2.5 = ? IBPS Jr. Executive, 2002 [Ans. (d) 480]

(a) 3000 (b) 4800 (c) 300 (d) 480 (e) 500

11. 22020 ¸ 0.011 = ? IBPS Jr. Executive Exam, 2002

12.

= ? IBPS Jr. Executive Exam, 2002

(a) 12 (b) 120 (c) 140 (d) 102 (e) 1020

13. If 3167 is added to 4093 and the sum is divided by 145, approximately what will be the outcome?

IBPS Jr. Executive Exam, 2002 [Ans. (a) 50]

(a) 50 (b) 75 (c) 60 (d) 90 (e) 80

14. 158 .25 ´ 4.6 + 21% of 847 + ? = 950.93 SBI PO, 2000

(a) 35 (b) 40 (c) 25 (d) 50 (e) 45

15. 85.147 + 34.912 ´ 6.2 + ? = 802.293 SBI PO, 2000

(a) 400 (b) 450 (c) 550 (d) 600 (e) 500

16. 248.251¸12.62 ´ 20.52 = ? SBI PO, 2000

(a) 400 (b) 450 (c) 600 (d) 350 (e) 375

17. 6.595 ´ 1084+2568.34 – 1708.34 =? BSRB Mumbai PO,98 (a) 6000 (b) 12000 (c) 10000 (d) 8000 (e) 9000

18. 159% of 6531.8+5.5´1015.2 = ? +5964.9

BSRB Mumbai PO 1998

(a) 10000 (b) 10900 (c) 11000 (d) 10600 (e) 12000

19.

of 157.85 + 39% of 1847 = ? - 447.30

BSRB Mumbai PO 1998 [Ans (d) 1800]

(a) 1200 (b) 1500 (c) 16000 (d) 1800 (e) 2100

20. 35% of 1478 + 29% of 3214 =? Bank Of Baroda PO 1999 (a) 1600 (b) 1250 (c) 1300 (d) 1450 (e) 1500

21. 287.532 + 1894.029-657.48 =743.095 +? Guwahati PO,99 (a) 870 (b) 790 (c) 780 (d) 770 (e) 890

22. 8.539 + 16.84 ´ 6.5 ¸ 4.2 =? BSRB Calcutta PO 1999 (a) 25 (b) 42 (c) 44 (d) 35 (e) 40

23. 1.542 ´ 2408.69 + 1134.632 =? BSRB Calcutta PO 1999 (a) 4600 (b) 4800 (c) 5200 (d) 6400 (e) 3600

24. 16

25. 48.25 ´150+ 32 ´ 16.5 - 125 ´10.5 = ?

BSRB Hyderabad PO 1999 [Ans (c)6450]

(a) 6200 (b) 7500 (c) 6450 (d) 7100 (e) 6700

26. 6.39 ´15.266 +

of 115.8 =? BSRB Hyderabad PO 1999 (a) 145 (b) 165 (c) 180 (d) 130 (e) 135

27. 14% of 857 - 5.6 ´ 12 .128 =? BSRB Chennai PO, 1999 (a) 48 (b) 36 (c) 60 (d) 52 (e) 46

28. 33

% of 768.9 +25 % of 161.2 – 68.12 = ?

BSRB Delhi PO 99 [Ans (a) 230]

(a) 230 (b) 225 (c) 235 (d) 220 (e) 240

29. 39.05´ 14.95 –27.99 ´ 10.12 = (36 +?) ´ 5 SBI PO 99 (a ) 22 (b) 29 (c) 34 (d) 32 (e) 25

30. 98.98¸11.03+7.014´15.99 = (?)² SBI PO 99

(a) 131 (b) 144 (c) 12 (d) 121 (e) 11

31.

´16.96+136.001¸17=? RBI Gr ’B’ Officer, 2002

(a ) 418 (b) 441 (c) 425 (d) 433 (e) 449

32. 196.1 ´ 196.1 ´ 196.1 ´ 196.1 ´ 4.01 ´ 4.001 ´ 4.999 ´ 4.999 = 196.1⁴ ´ 4 ´ ? NABARD Assistant Mang 2002

(a ) 100 (b) 16 (c) 10 (d) 64 (e) 32

33.

=? NABARD Assistant Mang 2002

(a)

(b)

(c) 1 (d) 2.5 (e)

34.

= 4.76 ´ ? NABARD Assistant Mang 2002

(a ) 11 (b) 45 (c) 49 (d) 6 (e) 9

35. 23% of 4011 +

of 5555 =? NABARD Assistant Mang.,02

(a ) 700 (b) 1900 (c) 9022 (d) 1700 (e) 1450

36. + of 1891.992 =? CANARA Bank 2002

(a ) 2500 (b) 1230 (c) 1640 (d) 1525 (e) 2130

37. 0.0004 ¸ 0.0001 ´ 36.000009 =? CANARA Bank 2002

(a ) 0.10 (b) 1.45 (c) 145 (d) 14.5 (e) 1450

38. 137% of 12345 = ? CANARA Bank 2002

(a ) 17000 (b) 15000 (c) 1500 (d) 14300 (e) 900

39. 3739+164 ´ 27 = ? CANARA Bank 2002

(a ) 105400 (b) 4000 (c) 8200 (d) 690 (e) 630032.

40. 264.5 of 171% + 149.98 +

of 161.76 =?

(a) 740 (b) 800 (c) 690 (d) 620 (e) none of these

42. 4914 + 283.49 ´ 26.01 + 283 = ? [Ans (b) 12580 ]

(a)12400(b) 12580 (c) 13000 (d) 13400 (e) none of these

43. 7814 + 2341 + 28694 – 31284 = ? [Ans (a) 7575]

(a) 7575 (b) 7500 (c) 7620 (d) 7400 (e) none of these

44.

=24089 [Ans(d) 2560]

(a) 2304 (b) 2401 (c) 2704 (d) 2560 (e) none of these

45.

[Ans (d) 3820]

(a) 3600 (b) 3520 (c) 3780 (d) 3820 (e) none of these

46. 2070.50 ¸ 15.004 + 39.001 ´ (4.999)² = ?

PNB Management Trainee [Ans (e) 1113]

(a) 1005 (b)997 (c) 1049 (d)1213 (e)1113

47. 36.00001 ¸ 5.9998 ´

= 108.0005

Bank of Mahrashtra PO, 2003 [Ans (e) 325]

(a) 18 (b) 16 (c) 256 (d) 316 (e) 325

48. 10³ ´ 1000² + 999999999 = 10? + 10? Indian Bank PO,03

(a) 6,9 (b) 9,9 (c) 6,12 (d) 16,9 (e) 6,18

49. 134% of 3894 + 38.94% of 134 =? Indian Bank PO,03

(a) 5000 (b) 5300 (c) 5500 (d) 5270 (e) 4900

50. (21 + 99) ´ (30 -19.02) = ? Indian Bank PO 2003

(a) 3581 (b) 131 (c) 1290 (d) 1600 (e) 1320

Amar Sir

Pages

Tuesday, 22 September 2015

Concept of “Approximate Values-03”

Wednesday, 22 July 2015

Concept of “Approximate Values” [सन्निकट मान]-02

Saturday, 4 July 2015

APPROXIMATE VALUES-1st part