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34. A and B can do a piece of work in 30 days while B and C can do the same work in 24 days and C and A can do it in 20 days. They all work together for 10 days, after that B and

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Page 2: 34. A and B can do a piece of work in 30 days while B and C can do the same work in 24 days and C and A can do it in 20 days. They all work together for 10 days, after that B and

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Direction (1-5): In each of these questions a number series is given. In each series one number is missing. Find out the missing number.

1. 7 10 15 24 39 ?

A. 52 B. 50

C. 63 D. 62

E. None of these

2. 104, 300, 469, 613, 734, ?

A. 982 B. 715

C. 834 D. 755

E. None of these

3. 5, 9, 17, 33, 65, (?)

A. 127 B. 9.7

C. 129 D. 87

E. None of these

4. 9, 21, 45, 81, 129, (?)

A. 187 B. 199

C. 177 D. 189

E. None of these

5. 12, 16, 32, 68, 132, (?)

A. 196 B. 232

C. 276 D. 213

E. None of these

Direction (6-10): Study the following table carefully and answer the questions given below :

6. What is the average number of eggs produced by Farm D over the years?

A. 7703 B. 7700

C. 7604 D. 7704

E. None of these

7. The eggs produced by Farm B in the year 2003 are approximately what per cent of the eggs produced by Farm B over the years?

A. 18 B. 16

C. 19 D. 20

E. None of these

8. What is the respective ratio of the dozens of eggs produced by Farm A to Farm E in the year 2005?

A. 59:61 B. 43:59

C. 61:58 D. 61:59

E. None of these

9. What is the respective ratio of the dozens of eggs produced by Farms A, B and C together in the year 2000 to the dozens of eggs produced by Farms D, E and F

together in the same year?

A. 60:40 B. 61:49

C. 49:61 D. 7:61

E. None of these

10. What is the difference between the total number of eggs produced by all the farms

together in the year 2001 and the year 2004?

A. 8204 B. 8208

C. 684 D. 8200

E. None of these

Direction (11-20): What will come in place of the question mark (?) in the following questions?

11. 35% of 5/9 of (450) =?

A. 86.5 B. 87.5

C. 77 D. 102

E. 68.5

12. 54.36 – 43.53 + 89.94 =? + 21.92

A. 122.69 B. 100.77

C. 74.75 D. 78.85

E. None of these

13. 235.42 – 123.78 =? + 12.86

A. 98.78 B. 64.86

C. 65.98 D. 89.74

E. None of these

14. 38 + 16 × 0.8 =?

A. 50 B. 48

C. 42 D. 50.8

E. None of these

15. 1485 × ? = 594

A. 2.5 B. 5.2

C. 5.6 D. 6.5

E. None of these

16. (17 × 5) − (12 × 4) − 16 =? ÷ 7

A. 146 B. 147

C. 148 D. 150

E. None of these

Page 3: 34. A and B can do a piece of work in 30 days while B and C can do the same work in 24 days and C and A can do it in 20 days. They all work together for 10 days, after that B and

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17. (82 + 78) × (0.5 + 0.8) = ?

A. 220 B. 160

C. 208 D. 200

E. None of these

18. 45698 – 23367 + 43237 = ?

A. 65568 B. 65567

C. 65566 D. 65560

E. None of these

19. 8888 ÷ 8 + 2332 ÷ 2 = ?

A. 2200 B. 2290

C. 2277 D. 226

E. None of these

20. 5437 - 3153 + 2284 = ? × 50

A. 90.36 B. 91.36

C. 98.26 D. 91.35

E. None of these

21. Tom started a business with Rs. 52000 and

after 4 months Harry joined him with Rs. 39000. At the end of the year out of the total profits Harry received total Rs. 20000 including 1/4th of the profits as commission for managing the business. What profit did Tom receive?

A. 40000 B. 20000

C. 30000 D. 50000

E. None of these

22. A 320 m long train moving with an average speed of 120 km/h crosses a platform in 24 s. A man crosses the same platform in 4 minutes. What is the speed of man is m/s?

A. 2 m/sec B. 3 m/sec

C. 4 m/sec D. 5 m/sec

E. None of these

23. The speed of a boat when travelling downstream is 120 kms/hr, whereas when travelling upstream it is 115 kms/hr. What is the speed of the boat in still water?

A. 116.5 B. 115.5

C. 117.5 D. 114.5

E. None of these

24. At present Anil is 1.5 times Purvi’s age. Eight years hence, the respective ratio between Anil and Purvi’s ages then will be 25 : 18. What is Purvi’s present age?

A. 23 years B. 26 years

C. 28 years D. 25 years

E. None of these

25. Mehul sold an item for ₹5,625 and incurred

a loss of 25%. At what price should he have sold the item to gain a profit of 25%?

A. 9375 B. 9357

C. 9753 D. 9573

E. None of these

26. Twenty-seven per cent of Arun’s monthly salary is equal to Raju’s monthly salary. If Arun’s monthly salary is Rs.25,000/-, then what is Raju’s annual salary?

A. 6705 B. 6700

C. 6750 D. 6720

E. None of these

27. The average of four consecutive odd

numbers A, B, C and D respectively is 40. What is the product of B and D?

A. 1673 B. 1677

C. 1622 D. 1679

E. None of these

28. In a mixture of milk and water of volume 30 litres, the ratio of milk and water is 7 : 3. How much quantity of water is to be added to the mixture to make the ratio of milk and water 1:2?

A. 30 L B. 32 L

C. 33 L D. 35 L

E. None of these

29. In a mixture of 150 litres, the ratio of milk to water is 2 : 1. The amount of water to be further added to the mixture so as to make the ratio of the milk to water 1 : 2 will be

A. 145 L B. 160 L

C. 150 L D. 180 L

E. None of these

30. Niraj incurred a loss of 55 percent of selling an article for Rs. 9,549/-. What was the cost price of the article?

A. 27000 B. 25600

C. 21220 D. 29000

E. None of these

31. The average speed of a bus is three-fifths of the average speed of a car which covers 3250 km in 65 hours. What is the average speed of the bus?

A. 30 km/hr B. 20 km/hr

C. 35 km/hr D. 36 km/hr

E. None of these

Page 4: 34. A and B can do a piece of work in 30 days while B and C can do the same work in 24 days and C and A can do it in 20 days. They all work together for 10 days, after that B and

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32. The average weight of 21 girls was recorded

as 58 kg. If a teacher's weight is also added, the average weight increases by 1 kg. What is the weight of the teacher?

A. 96 kg B. 78 kg

C. 80 kg D. 62 kg

E. None of these

33. What will be the compound interest accrued on a principal amount of ₹12000 at the rate of 4 pcpa after a period of two years?

A. ₹ 971.5 B. ₹ 973.4

C. ₹ 979.2 D. ₹ 975.9

E. None of these

34. A and B can do a piece of work in 30 days while B and C can do the same work in 24

days and C and A can do it in 20 days. They all work together for 10 days, after that B

and C leave, how many more days will A

take to finish the remaining work?

A. 18 B. 24

C. 30 D. 36

E. None of these

35. Four persons - M, N, O and P distributed a sum of Rs 44352 among themselves. M got

3

8th of total amount. N got

1

6th part of the

remaining amount. Thereafter, the remaining amount was divided between O and P in the ratio 3 : 2. The amount received by P is

A. Rs 1648 B. Rs 1848

C. Rs l884 D. Rs 1684

E. Rs 1448

SOLUTIONS

1. Ans. D.

10-7 = 3 , 3+2 =5

10+5 = 15 , 5+4 = 9

15+9=24 9+6=15

24+15=39 15+8 =23

39+23 = 62

2. Ans. C.

The given series is

+(14)2, +(13)2, +(12)2, +(11)2, +(10)2

3. Ans. C.

9 – 5 = 4

17 – 9 = 8 = 4× 2

33 – 17 = 16 = 8 ×2

65 -33 = 32 = 16 × 2

? -65 = 32 × 2 =64

? = 129

4. Ans. D.

The given series is

+(12 × 1), +(12 × 2),+(12 × 3),+(12 × 4),+(12

× 5),…

5. Ans. B.

The given series is +(2)2, +(4)2, +(6)2, +(8)2,

+(10)2,….

6. Ans. D.

Required average number of eggs produced by

Farm D over the years

= (528 + 612 + 648 + 636 + 672 + 756)/6

= 3852/6 = 642 dozen

= 7704

7. Ans. A.

Req. % = (660 x 100)/3576 = 18 (app)

8. Ans. D.

Req ratio = 732 : 708 = 61 : 59

9. Ans. C.

Req ratio = (420 + 360 + 396) / 528 + 492 +

444 = 1176 / 1464 = 49 :61

10. Ans. B.

Req. difference = (648 + 708 + 684 + 672 + 660

+ 672) - (564 + 492 + 576 + 612 + 576 + 540)

= 4044 - 3360 = 684 dozen = 8208

Page 5: 34. A and B can do a piece of work in 30 days while B and C can do the same work in 24 days and C and A can do it in 20 days. They all work together for 10 days, after that B and

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11. Ans. B.

35/100 0f 5/9 of (450)

= 35/100 0f 5/9 of 450

= 87.5

12. Ans. C.

54.36 – 43.53 + 89.94 =? + 21.92

=> 100.77 =? +21.92

= 78.85

13. Ans. A.

235.42 – 123.78 =? + 12.86

111.64 = ?+ 12.86

? = 111.64 – 12.86 = 98.78

14. Ans. D.

? = 38 + 16 × 0.8

= 38 + 12.8

= 50.8

15. Ans. A.

1485 ×? = 594

= 2.5

16. Ans. B.

85-48-16= ?÷7

21= ?÷ 7

?= 21×7=147

17. Ans. C.

(82 + 78) × (0.5 + 0.8)

= 208

18. Ans. A.

45698 – 23367 + 43237

= 65568

19. Ans. C.

8888 ÷ 8 + 2332 ÷ 2 = 1111 + 1166 = 2277

20. Ans. B.

21. Ans. B.

Since Tom started a business with Rs. 52000 and after 4 months Harry joined him with Rs. 39000

Tom and Harry shares profit in the ratio = (52000

× 12):(39000 × 8) = 2:1 Let the profit be Rs. P ∴Harry receives 25% (1/4th) as commission for

managing the business, the remaining 75% of the total profit P is shared between Tom and Harry in the ratio 2:1 Hence Harry will get 1/3rd part of this in addition

to his commission ∴Total earning of Harry

⇒ P = Rs. 40000

So, the remaining profit goes to Tom, hence the profit of Tom is Rs.20000

22. Ans. A.

x = 480 meter.

Speed of man =

= 2 m/sec.

23. Ans. C.

Speed of boat in still water = (115+120)/2

= 117.5

24. Ans. C.

Let Purvi’s present age be x years

Therefore Anil’s present age = 1.5x years

After 8 years

27x + 144 = 25x + 200 =>x = 28 years 25. Ans. A.

Page 6: 34. A and B can do a piece of work in 30 days while B and C can do the same work in 24 days and C and A can do it in 20 days. They all work together for 10 days, after that B and

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26. Ans. C.

Arun’s salary = Rs.25000 Raju’s salary = 27% of 25000 = 6750 27. Ans. B.

Let the four odd consecutive numbers be x,

, and

.

Also,

and

or,

or,

Numbers are

and

Products of B and D =

28. Ans. C.

In 30 liter of mixture quantity of milk = (7×30)/10 = 21Liter Hence quantity of water = 30 – 21 = 9 liter Now let X liter of water is added in mixture to make the ratio of milk and water 1:2. Hence now quantity of water = (9+X)L Milk = 21 L

Therefore (21 : (9+X)) = 1:2

Hence 33 liters of water is added in the mixture.

29. Ans. C.

In 150 litres of the mixture,

Milk litres

Water litres

Let x litres of water be added.

Then,

litres

30. Ans. C.

CP of the article = 9549 × 100/45 = Rs 21220

31. Ans. A

Average speed of car =

km/h

Average speed of bus =

km/h

32. Ans. C

Weight of teacher =

= 80 kg

33. Ans. C.

Amount after 2 years = 12000 × 1.04 ×1.04

= 12979.2

Compound Interest = 12979.2 – 12000 = 979.2

34. Ans. A

2 (A + B + C)’s 1 day work = 1/30 + 1/24 + 1/20

= 1/8

A + B + C’s 1 day work = 1/16

Work done by A, B and C in 10 days = 10/16

= 5/8

Remaining work = 1 – 5/8 = 3/8

A’s one day work = 1/16 – 1/24 = 1/48

1/48 work is done by A in 1 day

So 3/8 work will be done in – 48 * (3/8) = 18

days

35. Ans. B.

M’s share =

= ₹16632

Remaining amount = ₹ (44352 – 16632)

= ₹27720

N’s share = 0= ₹4620

Therefore,

P’s share = (2/5) * 4620= ₹1848

Thus, the amount received by P is ₹1848