bsc2.pdf

KKUNDAN

SimplificationWe must learn to do the basic calculations faster. It saves fewseconds from each question. And at the end, we find that atleast 5-10 minutes have been saved.

What to do for faster basic calculation:

1. Remember the tables upto30-40.2. Learn the method of multiplication.3. Learn the method of addition - substraction in a single

line or column.4. Learn the method of approximation.5. Learn to compare two fractions.6. Remember square roots, squares, cubes and cube

roots.7. Remember fractional value of percentage.8. Remember decimal values of reciprocals.9. Do calculations mentally. Dont write unnecessary

steps.10. Learn the laws of surds and indices.

Directions (Q. 1-51): What will come in place of thequestion mark(?) in the following equations?

1. ?222of53of

94of

85

1) 42 2) 43 3) 394) 37 5) None of these

2. 56% of 450 + ? = 3001) 52 2) 48 3) 424) 56 5) None of these

3. ?5.35.1 272727 1) 5 2) 7 3) 34) 2 5) None of these

4. 27.06 25 ? = 6001) 76.3 2) 76.7 3) 76.54) 76.2 5) None of these

5. ?1342

874

1) 3111 2) 13

111 3) 13411

4) 8311 5) None of these

11. VBODMAS Rule:V stands for Vinculum or barB Stands for brackets and operation of brackets inthe order (), {}, []O stands for ofD stands for division ()M stands for multiplication ()A stands for addition (+)S stands for substraction (-)

12. Some algebraic formulae:1. (a + b)2 = a2 + b2 + 2ab2. (a b)2 = a2 + b2 2ab3. (a + b)2 + (a b)2 = 2(a2 + b2)4. (a + b)2 (a b)2=4ab5. (a + b) (a b) = a2 b26. (a + b)3 = a3 + 3a2b + 3ab2 + b37. (a b)3 = a3 3a2b + 3ab2 b3

8. a3 + b3 = (a + b) (a2 ab + b2 )9. a3 b3 = (a b) (a2 + ab + b2)

6. ?5.45.35.7 17171717 1) 6 2) 8.5 3) 7.54) 8.5 5) None of these

7. 125% of 320 + ?% of 125 = 4401) 46 2) 42 3) 504) 32 5) None of these

8. 36?of85of

94of

53

1) 200 2) 328 3) 2164) 260 5) None of these

9. ?2534 888

818

1) 7 2) 2 3) 34) 4 5) None of these

10. (a b) ? = b a1) 1 2) 1 3) -a4) a 5) None of these

11. (a + b) = ? ( a b)1)1 2) a 3) 14) b 5) None of these

12. |? + 14| = 111) 3 2) 25 3) 254) 3 5) Either 3 or 25

Exercise

KKUNDAN

13. 16 + 26 2 = ?1) 84 2) 44 3) 404) 832 5) None of these

14. 2567 17 3 = ? + 1801) 51 2) 271 3) 2734) 73 5) None of these

15. 7.5% of 140 + 2.5% of 80 = ?1) 125 2) 18.5 3) 1454) 14.5 5) None of these

16. ?1375of127of

74of

53

1) 185 2) 175 3) 2854) 275 5) None of these

17. 32.05 15 + ? = 5001) 19.75 2) 19.25 3) 20.754) 20.25 5) None of these

18. ?5.25.25.7 102510 1) 10 2) 12.5 3) 9.54) 11.5 5) None of these

19. ?61117

127239

81

1) 223127 2) 223

2514 3) 1262514


20. 56% of 958 + 67% of 1008 = ?% of 20001) 60.592 2) 47.622 3) 42.864) 91.455 5) None of these

21. ?85.54.37.43.2 638163497 1) 16.25 2) 15.1 3) 13.44) 18.9 5) None of these

22. 272307164? 222 1) 151 2) 189 3) 2114) 259 5) None of these

23. 2?795664915849 1) 1849 2) 79 3) 334) 37 5) None of these

24. ?21

5428

51431

1) 4072 2) 40

71 3) 4032


25. 14 18.6 12 + 19.3 = ?1) 41 2) 33.5 3) 291.94) 8.32 5) None of these

26. ?5.34.81.22.4 56567648 1) 18.2 2) 9.8 3) 11.94) 12.6 5) None of these

27. ?34 22 1) 25 2) 5 3) 1254) 425 5) None of these

28. 53% of 120 + 25% of 862 = ?% of 5001) 42.50 2) 55.82 3) 63.684) 38.89 5) None of these

29. 872.905 9.013 1.898 = ?1) 194 2) 50 3) 1024) 55 5) 72

30. ?863003 1) 51 2) 35 3) 534) 38 5) 44

31. 0.493 1.864 3.554 = ?1) 3.5 2) 6.5 3) 4.84) 5.2 5) 6.9

32. 167.2010.13985.55

951.2?

1) 35 2) 40 3) 164) 26 5) 18

33. 948.991 - 621.052 + ? = 723.4861) 305 2) 416 3) 3964) 348 5) 443

34. (3158 + 4602 + ?) 39 = 3471) 5483 2) 5883 3) 57834) 5913 5) None of these

35. (0.08% of 363 + 0.6% of 241) 500 = ?1) 846.2 2) 868.2 3) 84.624) 86.82 5) None of these

36. ?2872811916

2085318696

1) 331181

2) 441164

3) 246155

4) 241161

5) None of these

37. ?3285093 1) 63 2) 59 3) 734) 69 5) None of these

38. (47045 9.7) + (2035 3.7) = ?1) 5400 2) 5445 3) 544) 54.45 5) None of these

KKUNDAN

39. 1965 17161 3 = ?1) 15 2) 9 3) 5 4) 125) None of these

40. ?612254225 1) 1156 2) 1600 3) 14444) 1296 5) None of these

41. (31% of 260) ? = 128961) 150 2) 140 3) 1604) 180 5) None of these

42. ?8143

15112

5216

1) 1991 2) 19

23 3) 1382


43. 2.4318 3 = ?1) 135 2) 136 3) 1374) 138 5) None of these

44. 3?196833 1) 90 2) 27 3) 34) 18 5) None of these

45. 1515?1515 2 1) 3030 2) 2295225 3) 44854) 5115 5) None of these

46. 60 = ?% of 4001) 6 2) 12 3) 204) 15 5) None of these

47. 1400 ? = 10501) 41 2) 43 3) 53

4) 32 5) None of these48. 40% of ? = 240

1) 60 2) 6000 3) 9604) 600 5) None of these

49. 35 + 15 1.5 = ?1) 75 2) 25.25 3) 57.54) 51.5 5) None of these

50. 1984 + 523 - ? = 18991) 718 2) 608 3) 7084) 618 5) None of these

51. 3 + 33 + 333 + 3.33 = ?1) 362.3 2) 372.33 3) 702.334) 702 5) None of these

52. What should come in place of the question mark in thefollowing question ?

?72

24?

1) 12 2) 16 3) 1144) 144 5) None of these

[SBI-PO Exams-1999]53. What should come in place of the question mark (?) in

the following equation ?

112?

?28

1) 70 2) 56 3) 484) 64 5) None of these

54. Which of the following are in descending order of theirvalue?

1) 1711,

158,

117,

95

2) 117,

1711,

158,

95

3) 95,

158,

117,

1711

4) 158,

95,

117,

1711

5) None of these

55. Which of the following has fractions in ascending order?

1) 98,

119,

97,

53,

32

2) 98,

119,

97,

32,

53

3) 32,

53,

97,

119,

98

4) 98,

97,

119,

32,

53

5) 53,

32,

97,

119,

98

KKUNDAN

1. 4; ? = 3722253

94

85

2. 2; Let the number be x.

300x45010056

or, x = 300 252 = 48

3. 1; ?5.35.1 272127

or, 5.35.1? 2727

? = 5 yxyx aaa 4. 3; Let the number be x.

27.06 25 x = 600or, x = 676.5 600 = 76.5

5. 5; 4111

445

1330

839?

6. 2; ?5.45.35.7 17171717 or, 5.85.45.35.7 17171717

or, ? = 8.57. 4; 125% of 320 + ?% of 125 = 440

or, 320100125440

100125?

? = 3212510040

8. 3; 53

of 94

of 85

of ? = 36

or, 49

58

3536? or ? = 216

9. 4; 25

34

818

818 = 42534 88

? = 410. 2; -(a - b) . x = b - a

Put x replacing ? (question mark)or -[-(a - b)x] = -[b - a] or (a - b)x = a - b

or 1babax

11. 3; a + b = ? (-a - b)or a + b = x . (-a - b)[Put x replacing ? (question mark)]or a + b = -x (a + b)or x = -1

12. 5; |? + 14| = 11

or, ? + 14 = 11or, -11 ? = -25or, -3

13. 5; 16 + 26 2 = 16 + 52 = 6814. 3; 2567 17 3 = ? + 180

or, 151 3 = ? + 180or, 453 = ? + 180 ? = 453 - 180 = 273

15. 5; 7.5% of 140 + 2.5% of 80

= 100108025

1001014075

= 10.5 + 2 = 12.5

16. 417. 218. 1; 5.25.25.7 2510 = 105.25.7 101010

Hence, the question mark (?) should be replaced by10.

19. 3; 6111

712

723

981

71

61

72

9821131

61

71

9813 = 126

2514

20. 1; 56% 958 + 67% of 1008= 536.48 + 675.36 = 1211.84Now, 1211.84 = ?% of 2000 ? = 60.592

21. 2; 85.54.37.43.2 8163497 = 85.585.54.37.47.43.2 9963777

= 4.3)85.585.5(7.47.43.2 6397

= 4.37.11 6363 = 1.1563Hence, ? = 15.1

22. 4; 272307164? 222

222 164272307? = 2689627294249 = 67081

Hence, ? = 25967081

23. 5; 795664915849 = 957 + 892 = 1849

Now, 1849? 2 ? = 43

Answers and explanations

KKUNDAN

37. 4; 693285093 Go through the given options. First of all look for thedigit at the unit's place. Reject 1) because 3 3 3 =....7. Reject 3) on the same ground. Reject 2) because

216000603 . Now, check 4).38. 1 39. 3 40. 4 41. 342. 5; 198143. 1

44. 5; 3?196833

? = 9327

3196833

45. 5; 1515?1515 2

? = 32 151515151515 = 347726587546. 4; 60 = ?% of 400

1540010060?

47. 2; 1400 ? = 1050

43

14001050?

48. 4; 40% of ? = 240

60040100240?

49. 3; ? = 35 + 15 1.5 = 35 + 22.5 = 57.550. 2; 1984 + 523 - ? = 1899

? = 1984 + 523 - 1899 = 60851. 2;

3 33333 3.33372.33

+

52. 4; 7224?? Squaring both the sides,

)98()98()38(?)?(? 32

= 333 982)8(

144982?

53. 2; 112?

?28

5611228? 54. 455. 2

24. 4; 21

542

851

431

=

54

21

85

43211

= 4031

4043

4032202530

25. 126. 3; 5.34.81.22.4 567648

= 5.34.81.222.4 56788 = 5.34.82.42.4 56788

= 5.34.84.8 5678 = 9.11)5.34.8(5.34.8 56565656

27. 5; ? = 62528. 2; 53% of 120 + 25% of 862

= 63.6 + 215.5 = 279.1Now, x% of 500 = 279.1

5001001.279x = 55.82%

29. 2; 872.905 9.013 1.898 872 9 2 49

30. 5; Note that 000,27303

000,64403

000,25,1503

Hence, the value of 3 86300 will be lie between 40and 50. Hence, we have only one such option.Therefore, opt 5) as answer.

31. 1; 0.493 1.864 3.554 0.5 1.9 3.5 3.325

32. 4; 167.2010.13985.55

951.2?

2.25613

3?

43.28132.2563?

33. 3; ? = 723.486 + 621.052 - 948.991 723 + 621 - 948 396

34. 5; (3158 + 4602 + ?) 39 = 347or, 3158 + 4602 + ? = 347 39or, ? = 13533 - 3158 - 4602 = 5773

35. 2; (0.08% of 363 + 0.6% of 241) 500= (0.2904 + 1.446) 500 = 868.2

36. 2; 28728208531191618696

= 13584244411358424164

= 441164

KKUNDAN

In this type of question you have to find the approximatevalue not the exact value. Some times the choices have verysmall difference and we are confused with our result. Usuallyfive types of calculations are asked under this section. Theseare Sum, Multiplication, Division, Root and Percentage. Ineach case we will apply different type of calculations.

Sum (Addition and Substraction)1) Replace the large number by the numbers which have

maximum possible no. of zeros in the end. For example230818 use 231000 (If the choices are in thousand)

Use 230800 (If choices are in hundreds)Use 230820 (If choices are in tens)

2) If there are two large numbers to be added then try toincrease one and decrease the other.

3) If a large number is to be substracted from anotherlarge number then both the numbers should be eitherincreased or decresed simultaneously.

Multiplication: At the time of multiplication findingapproximate value is very sensitive. A little change inthe number leads to a very much deviated result. So wecan not adopt the formulae used in addition andsubstraction. For example789 893 = 704577But if we use 790 for 789 and 890 for 893 then the resultwill be 703100. And if the options are 703000, 703500,704000 and 704500 then our answer will be 703,000 butthe correct result is 704500.To overcome this problem let us see the formula givenbelow.

Ex. 1: Find the aproximate value 789 893.Soln.: 790 890 = 703100

-1 +3 = (-1) 890 + 3(790) = 1480Req. Ans. = 703100 + 1480 = 704580 704500

Ex. 2: 5003 550 = ?1) 27,51,000 2)27,59,0003) 27,50,000 4) 28,00,000

Soln.: 5000 550 = 2750000

+3 0 = 1650 27,51,650

Req. Ans. = 703100 + 1480 = 704580 704500If the options differ by a large number like 50,000 weneed not do this Calculation.

Division: In this case the dividend and the divisor shouldeither be incresed or decresed simultaneously. It shouldbe shifted to their nearest multiple of ten, hundred orthousand depending upon the options.

Ex. 2: 810 3.9 = ?1)205 2)2073)209 4)211

Be carefull about such type of questions. The optionsare very close. If we slightly increase the divisor by 0.1 andkeep the dividend constant then we will get the answer 202.5.But the actual result is 207.692 207. So a slight increase ordcrease in one side may cause a great deviation. So both thedividend and divisor should be increased or deeresed. But ifthe divisor is increased by 0.1, then Dividend will be increasedby how much?See the formula

The value by which the dividend should be increased= increase in divisor approximate value of the quotientUsing this formula we well get the the increase in dividendwill be (. 1) 200 = 20.So the dividend will be 830.Thus 830 4 = 207.5Apart from these you have to remember the BODMASRule mentioned in the previous chapter.

Approximation

Directions (Q. 1-49): What approximate value will comein place of the question-mark (?) in the following questions?(You are not expected to calculate the exact value).1. 103 1003 + 999999999 = 10? + 10?

1) 6, 9 2) 9, 9 3) 6, 124) 16, 9 5) 6, 18

2. 134% of 3894 + 38.94% of 134 = ?1) 5000 2) 5300 3) 55004) 5270 5) 4900

Exercise

3. (21 + 99) (30 19.02) = ?1) 3581 2) 131 3) 12904) 1600 5) 1320

4. ?53

32

86

32

1) 0.45 2) 0.5 3) 1.454) 0.2 5) 0.55

KKUNDAN

5. ?0000001.1000000 1) 1000 2) 100 3) 100004) 999 5) 99

6. 22.9782 + 0.02 + ? = 231) 0.08 2) 20.08 3) 0.024) 0.007 5) 0.80

7. 21 + 3.7 2.9 = ?1) 74 2) 70 3) 274) 32 5) 44

8. 447. 75 28 4.99 = ?1) 60 2) 70 3) 724) 80 5) 75

9. 275?25.195.3 2 1) 15 2) 20 3) 304) 28 5) 40

10. 85% of 225 + 32.91 5.01 = ?1) 340 2) 355 3) 3754) 345 5) 370

11. ?285of%7596.15 2 1) 435 2) 485 3) 4404) 420 5) 470

12. 1679 14.95 5.02 = ?1) 540 2) 525 3) 5454) 565 5) 520

13. 425 16.95 ? = 2251) 11 2) 0.8 3) 94) 19 5) 0.9

14. 198.995 12.005 + 16.25 6.95 = ?1) 2580 2) 2550 3) 24004) 1450 5) 2500

15. 999899?

20535

99112

1) 40 2) 30 3) 334) 45 5) 50

16. 145% of 700.05 + 22.99 15.05 = ?1) 1300 2) 1425 3) 13954) 1280 5) 1360

17. 1428.025 12.005 + 2(?) = 2401) 121 2) 13 4) 1234) 15 5) 11

18. 179.99 3.001 2.005 = ?1) 45 2) 120 3) 304) 150 5) 90

19. ?01.425.625 2 1) 240 2) 480 3) 1004) 400 5) 320

20. 63.9872 9449.8780 243.0034 = 2?1) 2489 2) 2500 3) 504) 45 5) 150

21. 5237.897 - 6629.010 + 7153.999 - 2205.102 = ?1) 6340 2) 4688 3) 52404) 3558 5) 6290

22. 4985.0346 215.987 - 3768.112 206.868 = ?1) 8 2) 5 3) 184) 11 5) 15

23. ?956240 1) 979 2) 864 3) 10094) 647 5) 783

24. 459% of 849.947 + 266% of 6284.012 - 1486.002 = ?1) 20330 2) 12640 3) 150004) 22160 5) 19130

25. (9615.36 + 1247.18) (2435.72 + 1937.92) = ?1) 4 2) 9 3) 24) 7 5) 8

26. ?3939825646 1) 77 2) 109 3) 664) 99 5) 119

27. (48 296) (19 173) = ?1) 2 2) 4 3) 84) 9 5) 3

28. 0.5% of 449 8.2% of 674 = ?1) 124 2) 139 3) 1464) 115 5) 100

29. 3784 28 + 538 = ?1) 600 2) 623 3) 6514) 636 5) 673

30. 6,23,898 99 = ? 60,0001) 1000 2) 1030 3) 10504) 1065 5) 1010

31. ?95

76

73

54

1) 179

2) 4920

3) 2518

4) 21

5) 74

32. ?98.399 2 1) 160000 2) 15999 3) 16004) 1599 5) 16000

KKUNDAN

33. 9900865.41?9989.49995.624 2

1) 6 2) 50 3) 104) 125 5) 15

34. 989.001 + 1.00982 76.792 = ?1) 1000 2) 1100 3) 10654) 110 5) 100

35. 59.99% of 255.012 + 22.98% of 182.005 = ?1) 162 2) 146 3) 1954) 225 5) 178

36. ?1000 1) 10 2) 24 3) 454) 18 5) 32

37. 15.002 ? 25.0210 = 7113.9181) 19 2) 26 3) 114) 31 5) 35

38. ?88 63.138.1 1) 680 2) 218 3) 7264) 512 5) 134

39. 12 958 17 = ?1) 532 2) 676 3) 7654) 483 5) 806

40. (8423 + 3120 + 6543) (1536 + 377 + 189) = ?1) 5 2) 14 3) 94) 18 5) 3

41. (13% of 7439) (3.23% of 537) = ?1) 16243 2) 16135 3) 166744) 16824 5) 16774

42. 121 ?54

83

57

1) 168 2) 288 3) 2084) 298 5) 198

43. ?78961)96( 32 1) 215 2) 210 3) 2204) 224 5) None of these

44. (15.28 3.56) 3.15 = ?1) 12 2) 9 3) 214) 17 5) 24

45. ?45689 1) 180 2) 415 3) 1504) 210 5) 300

46. ?4987.03589

001.1000999.10008 2

1) 3000 2) 300000 3) 30000004) 5000 5) 9000000

47. 399.9 + 206 11.009 = ?1) 2800 2) 6666 3) 46664) 2400 5) 2670

48. ?56

1917

87

52

1) 1 2) 21

3) 212

4) 43

5) 119

49. (299.99999) = ?1) 27000000 2) 9000000000 3) 1800004) 2.7 109 5) 2700000

50. What approximate value should come in place of thequestion mark (?) in the following equation?

%3133 of 768.9 + 25% of 161.2 - 68.12 = ?

1) 230 2) 225 3) 2354) 220 5) 240

51. What approximate value should come in place of thequestion mark (?) in the following equation?39.05 14.95 - 27.99 10.12 = (36 + ?) 51) 22 2) 29 3) 344) 32 5) 25

52. What approximate value should come in the place ofquestion mark (?) in the following equation?

24.508171325 of 20% 85.39 of 43

= ?

1) 5500 2) 5200 3) 58004) 4900 5) 5900

53. What approximate value will come in place of the questionmark (?) in the following equation?

?17001.13696.1604.625 1) 418 2) 441 3) 4254) 433 5) 449

54. If 3167 is added to 4093 and the sum is divided by 145,approximately what will be the outcome?1) 50 2) 75 3) 604) 90 5) 80

55. What approximate value will come in place of thequestions mark (?) in the following equation?2070.50 15.004 + 39.001 (4.999)2 = ?1) 1005 2) 997 3) 10494) 1213 5) 1113

56. What approximate value should come in place of the

KKUNDAN

question mark (?)?

36.0001 5.9998 ? = 108.00051) 18 2) 16 3) 2564) 316 5) 325

57. What approximate value should come in the place ofquestion mark (?) in the following equation?98.98 11.03 + 7.014 15.99 = (?)21) 131 2) 144 3) 124) 121 5) 11

58. What approximate value should come in place of thequestion mark (?) in the following equation?31% of 3581 + 27% of 9319 = ?1) 2630 2) 3625 3) 2625

4) 3635 5) 3824

59. What approximate value should come in place of thequestion mark (?) in the following equation?

6.39 15.266 + 115.8 of 52

= ?

1) 145 2) 165 3) 1804) 130 5) 135

60. What approximate value should come in place of thequestion mark (?) in the following equation?857 of 14% - 5.6 12.128 = ?1) 48 2) 36 3) 604) 52 5) 46

Answers and explanations

1. 2; Here, 99999999910010 33 = 9323 101010 = 963 101010 = 963 1010

= 99 1010 Therefore, question mark will be replaced by 9.

2. 4; 134% of 3894 + 38.94% of 134= 134% of 3894 + 38945 of 1.34= 134% of 3894 + 1.34% of 3894= 135.34% of 3894= 5270.1396= 5270

3. 5; (21 + 99) (30 19.02)= 120 10.98= 120 11 = 1320

4. 4; 53

32

86

32

= 57272

= 51

= 0.2

5. 1; 0000001.1000000

= 1000000 = 10006. 3; 22.9782 + 0.002 + ? = 23

? = 23 22.9802= 0.0198 = 0.02

7. 4; 21 + 3.7 2.9= 21 + 3.7 3= 21 + 11.1 = 32. 1

8. 4; 447.75 28 4.99 = ?or, 80528448?

9. 5; 275?25.195.3 2

or, 275?4119

4112

or, 275?41

4119

41121912

or, 40235275? 10. 2; ? = 85% of 225 + 32.91 5.01

53322510085

191.25 + 165 356.25

11. 5; ? = %7596.15 2 of 285

2851007516 2

256 + 213.75 469.7512. 4; 1679 14.95 5.02 = ?

? = 1680 15 5 112 5 56013. 3; 425 16.95 ? = 225

or, 22517?425

or, 942517225?

14. 5; 198.995 12.005 + 16.25 6.95 = ?? 199 12 + 16 7 2388 + 112or, ? 2500

KKUNDAN

15. 1 16. 5 17. 518. 2 19. 420. 3; 63.9872 9449.8780 243.0034

64 9450 243 64 39 2496

Now, 2496? 2 ? 50

21. 4; 5237.897 - 6629.010 + 7153.999 - 2205.102= 3557.784 3558

22. 2; 4985.0346 215.987 - 3768.112 206.868 4985 216 - 3768 207 23 - 18 5

23. 1; 978956240 24. 5; 459% of 849.947 + 266% of 6284.012 - 1486.002

460% of 850 + 265% of 6285 - 1486 3910 + 16655 - 1486 19079

25. 326. 427. 228. 129. 530. 2; We have

6,23,898 99 = ? 60,000

000,6099898,23,6?

= 000,60623898100623898

1030

31. 3; We have

95

76

73

54

= 59

67

73

54

= 2518

32. 1; 22 40098.399 16000033. 3; We have

9900865.4

1?9989.49995.624 2

25625 = 51?

10252551?

34. 3; 989.001 + 1.00982 76.792 990 + 1 76.8 1066.8

35. 3; 59.99% of 255.012 + 22.98% of 182.005 60% of 255 + 23% of 182 153 + 41.86 194.86

36. 5; 10101010101000 10 3.16 31.6

37. 1; 15.002 ? 25.0210 = 7113.918

? = 0210.25002.15918.7113

25157100

18.93

38. 4; 63.138.163.138.1 888 = 01.38 38 512

39. 2; 12 958 17 67640. 3 41. 5 42. 243. 1 44. 4

45. 4; 21075.21345689?

46. 2; 4987.03589

001.1000999.10008?

2

50.0360010009 2 30000050.06010009

47. 5; ? = 399.9 + 206 11.009 400 + (200 + 6) 11= 400 + 2200 + 66 2670

48. 1; 56

1917

87

52?

65

1917

87

52

0.160.040.0912595

52

49. 1; ? = (299.99999) (300) = 27000000

50. 1; ? = %3133 of 768.9 + 25% of 161.2 - 68.12

= 31

of 768.9 + 41

of 161.2 - 68.12

= 256.3 + 40.3 - 68.12 23051. 5

52. 1; ? = 24.508171325 of 20% 85.39 of 43

500171325 of 20% 85 0.75 = 5460 + 100 60 = 5500

53. 4; 17001.13696.1604.625? 25 17 + 8= 425 + 8 = 433

KKUNDAN

54. 1; Reqd no. = 501457260

14540933167

55. 5; 2070.50 15.004 + 39.001 (4.999)2= ?or, ? 2070 15 + 39 5 5

= 138 + 975 = 1113

56. 5; 108?636

or, 6108?

or, 18? or, ? = 324 325.

57. 5; 98.98 11.03 + 7.014 15.99 = (?)2Suppose ? = xThen 100 11 + 7 16 121 (taking approximatevalue) x = 11

58. 2; ? = 31% of 3581 + 27% of 9319= 1110.11 + 2516.13 3625

59. 1; ? = 6.39 15.266 + 115.8 of 32

60. 4; ? = 857 of 14% - 5.6 12.128 857 of 14% - 5.6 12 120 - 67 52

Documents

bsc2.pdf