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all campus aptitude test

Total questions: 60

Worksheet time: 2hrs 0mins

Name
Class
Date
1.

A number, when divided by a divisor, leaves a remainder of 24.

When twice the original number is divided by the same divisor, the remainder is 11. What is the value of the divisor?

a)

38

b)

37

c)

42

d)

51

2.

How many five digit numbers are there such that two left most digits are even and remaining are odd and digit 4 should not be repeated?

a)

2300

b)

2455

c)

2456

d)

2375

3.

Mr. T has a wrong weighing pan. One arm is lengthier than other. 1 kilogram on left balances 8 melons on right, 1 kilogram on right balances 2 melons on left. If all melons are equal in weight, what is the weight of a single melon.

a)

300 g

b)

350 g

c)

200 g

d)

15 g

4.

Two people run around circular track and take 42 sec and 30 sec to make one complete round. If they start together after how much amount of time will they meet again in the same place ?

a)

3 min 30 sec

b)

3 min 42 sec

c)

3 min 22 sec

d)

3 min 15 sec

5.

What number should come next ?


173, 196, 219, 242, _____

a)

263

b)

265

c)

266

d)

267

6.

What should come in place of _____ in the below number series?


173, 149, 125, 101, _____

a)

75

b)

78

c)

77

d)

80

7.

Two bells toll at an interval of 42 and 24 seconds respectively. After they start at the same time, again after how many seconds will they rings together?

a)

458

b)

452

c)

168

d)

172

8.

Find the least two digit number which will divide 42 and 7 without leaving any remainder ?

a)

136

b)

45

c)

42

d)

57

9.

Rahul spends 50% of his monthly income on household items, 20% of his monthly income on buying clothes, 5% of his monthly income on medicines and the remaining amount of Rs. 11250 he saves. What is Rahul's monthly income ?

a)

45000

b)

43000

c)

41000

d)

42000

10.

Anish had a certain amount with him. He spent 20% of that to buy a new cell phone and 15% of the remaining on buying a laptop. Then he donated Rs. 160 in a temple. If he is left with Rs. 1,200, how much did he buy the laptop for?

a)

135

b)

230

c)

240

d)

260

11.

Akshara decided to donate 15% of her salary to an orphanage. On the day of donation she changed her mind and donated Rs 2,896 which was 90% of what she had decided earlier. How much is Akshara's salary (approx)?

a)

22000

b)

21450

c)

23002

d)

24561

12.

In a village, each of the 60% of families has a cow; each of the 30% of families has a buffalo and each of the 15% of families has both a cow and a buffalo. In all there are 96 families in the village. How many families do not have a cow or a buffalo?

a)

25

b)

26

c)

24

d)

21

13.

The ratio of males and females in a city is 7 : 8 and the percentage of children among males and females is 25% and 20% respectively. If the number of adult females in the city is 156800 what is the total population?

a)

357800

b)

360082

c)

367500

d)

865249

14.

Akshara decided to donate 15% of her salary to an orphanage. On the day of donation she changed her mind and donated Rs 2,896 which was 90% of what she had decided earlier. How much is Akshara's salary (approx)?

a)

21450

b)

23300

c)

24000

d)

25148

15.

The ratio of males and females in a city is 7 : 8 and the percentage of children among males and females is 25% and 20% respectively. If the number of adult females in the city is 156800 what is the total population?

a)

367500

b)

485200

c)

456200

d)

784500

16.

. A vendor sells 60 percent of apples he had and throws away 15 percent of the remainder. Next day he sells 50 percent of the remainder and throws away the rest. What percent of his apples does the vendor throw?

a)

24%

b)

23%

c)

21%

d)

26%

17.

85. Evaluate the Expression:

16.5% of 300 + 70.5% of 1400 - 10% of 480 = ?

a)

965.3

b)

954.2

c)

964.8

d)

988.5

18.

1. A bucket contains 60 litres of pure wine, in which x litres drawn off and replaced with water. This process is repeated for two times. Find the value of x if the final ratio of wine to water is 81 : 19

a)

2L

b)

3L

c)

6L

d)

5.5L

19.

Two equal vessels A and B contain 60% of sugar and 40% of sugar respectively and the remaining Rava. In which 40 kg of mixture is taken out from vessel A and replaced into vessel B. Find the initial quantity of vessel if the final ratio of sugar and Rava in vessel B is 16 : 19

a)

120L

b)

135L

c)

100L

d)

102L

20.

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)

34L

b)

32L

c)

33L

d)

31L

21.

A container contains pure milk. From these 4 litres of milk taken out and replaced by water. This process is repeated for one more time and the remaining milk in the container is 12.8 litres. What is the initial quantity of milk in the container?

a)

15L

b)

20L

c)

20L

d)

32L

22.

7. A mixture contains 200 litres Milk and 40 litres water, ______ litres of mixture are removed and ________ litres of pure water were added to it. If the final quantity of milk is 124 litres more than the final quantity of water. The values given in which of the following options will fill the blanks in the same order in which it is given to make the above statement true:

A) 30, 20


B) 18, 24


C) 24, 20


D) 36, 16

a)

A and B only

b)

B &C

c)

A & C

d)

A &D

23.

Rani mixes 70kg of sugar worth Rs.28.50 per kg with 100kg of sugar worth Rs.30.50 per kg. At what rate shall he sell the mixture to gain 10% ?

a)

33.25

b)

36.52

c)

32.64

d)

32.72

24.

A can contains milk and water in the ratio 3:1. A part of this mixture is replaced with milk, and now the new ratio of milk to water is 15:4.What proportion of original mixture had been replaced by milk?

a)

2/19

b)

3/19

c)

11/19

d)

13/19

25.

A 132 litres of mixture contains milk and water in the ratio 5 : 7. How much milk need to be added to this mixture so that the new ratio is 13 : 11 respectively?

a)

35

b)

37

c)

45

d)

36

26.

A, B and C can do a work in 8, 16 and 24 days respectively. They all begin together. A continues to work till it is finished, C leaving off 2 days and B one day before its completion. In what time is the work finished?

a)

4 days

b)

3 days

c)

1 days

d)

5 days

27.

A can do a piece of work in 6 days which B can destroy in 4 days. A has worked for 6 days, during the last 2 days of which B has been destroying. How many days must A now work alone to complete the work?

a)

4 days

b)

3 days

c)

10 days

d)

5 days

28.

Raju and Dolu can complete a piece of work in 18 days and 24 days respectively. Raju and Dolu worked together for 6 days and then Raju left the work. If the remaining work completed by Dolu and Kalia in 4 days, then Kalia alone can complete the same piece of work in how many days?

a)

16 days

b)

18 days

c)

20 days

d)

21 days

29.

9 children can complete a piece of work in 360 days. 18 men can complete the same piece of work in 72 days and 12 women can complete the piece of work in 162 days. In how many days can 4 men, 12 women and 10 children together complete the piece of work?

a)

18 days

b)

81 days

c)

82 days

d)

87 days

30.

A father said to his son,"I was as old as you are at the present at the time of your birth". If the father's age is 38 years now, what was the son's age five years back?

a)

15

b)

14

c)

13

d)

14.5

31.

The average age of Sai's family consisting of 4 members, 4 years ago, was 28 years. 2 years ago, a baby was born in the family. The average age of the family 2 years from now would be :

a)

37

b)

35

c)

29

d)

28

32.

If Ram is one-third the age of his father Raj now, and was one-fourth the age of his father 5 years ago, then how old will his father Raj be 5 years from now?

a)

45

b)

35

c)

50

d)

42

33.

Sobha's father was 38 years of age when she was born while her mother was 36 years old when her brother four years younger to her was born. What is the difference between the ages of her parents?

a)

9 yr

b)

8 yr

c)

6.5 yr

d)

6 yr

34.

The SI on certain sum of money for 23 months at the rate of 7% per annum exceeds the SI on the same sum at 7% per annum for 19 months by Rs. 672. Then find the sum....

a)

29800

b)

27800

c)

28800

d)

23850

35.

Virat has Rs. 9000. He gives this money to Mahendra on simple interest and after 4 years received the double amount. If the interest rate is 5% more than the previous, in how many years this amount will be doubled?

a)

13/7 yr

b)

11/9 yr

c)

12/7 yr

d)

10/3 yr

36.

On a certain Principal if the Simple interest for two years is Rs 2400 and Compound interest for the two years is Rs 2544, what is the rate of Interest?

a)

11 %

b)

13 %

c)

14%

d)

12 %

37.

A lent Rs. 5000 to B for 2 years and Rs. 3000 to C for 4 years on simple interest at the same rate of interest and received Rs. 2200 in all from both as interest. The rate of interest per annum is ....

a)

12 %

b)

10 %

c)

32 %

d)

36 %

38.

The simple interest on a certain sum for 8 months at 4% per annum is Rs. 129 less than the simple interest on the same sum for 15 months at 5% per annum. The sum is:..

a)

3200

b)

3680

c)

2850

d)

3600

39.

A salesman travels a distance of 50 km in 2 hours and 30 minutes. How much faster, in kilometers per hour, on an average, must he travel to make such a trip in 5/6 hour less time?

a)

15

b)

20

c)

10

d)

30

40.

The ratio between the speeds of two trains is 7: 8. If the second train runs 400 kms in 4 hours, then the speed of the first train is ?

a)

47.5 km/hr

b)

87.5 km/hr

c)

58.6km/hr

d)

52.34 km/hr

41.

A person has to travel from point B in certain time. Travelling at a speed of 5 kmph he reaches 48 minutes late and while travelling at a speed of 8 kmph he reaches 15 minutes early. What is the distance from point A to point B ?

a)

13 km

b)

14 km

c)

25 km

d)

18 km

42.

The distance between two cities A and B is 330 Km. A train starts from A at 8 a.m. and travel towards B at 60 km/hr. Another train starts from B at 9 a.m and travels towards A at 75 Km/hr. At what time do they meet?

a)

11.45 am

b)

11.30 am

c)

11.00 am

d)

10.30 am

43.

A man sold an item for Rs. 2000 and incurred a loss. Had he sold the item for Rs. 3600, his gain would have been equal to three times of the amount of loss that he incurred. At what price should he sell the article to gain 20 %?

a)

2978

b)

2896

c)

2875

d)

2880

44.

I bought 3 apple and 5 banana at Rs. 67. After eating 1 apple, I sold the remaining fruits to Raja at Rs. 67. Raja, after eating 1 apple and 1 banana, sold the remaining fruits to Sam at Rs. 67. If Raja had an effective profit of 35% in this manner, how much percentage profit did I earn?

a)

32 %

b)

20 %

c)

31 %

d)

29 %

45.

A person purchased a cupboard and a cot for Rs. 19,200. He sold the cupboard at a profit of 23% and the cot at a profit of 39%. If his total profit was 27.833%; find the cost price of the cupboard?

a)

Rs.14000

b)

Rs.18520

c)

Rs.19650

d)

Rs. 13400

46.

A person sold an electronic watch at Rs. 96 in such a way that his percentage profit is same as the cost price of the watch. If he sells it at twice the percentage profit of its previous percentage profit then the new selling price will be

a)

Rs.105

b)

Rs.132

c)

Rs.110

d)

Rs.131

47.

If the profit on selling an article for Rs. 579 is the same as the loss on selling it for Rs. 337, then find the profit percent if its selling price is Rs. 687.

a)

45 %

b)

50 %

c)

75 %

d)

80 %

48.

Hardik and kunal sold their bats at Rs. 5457 each but Hardik incurred a loss of 15%, while kunal gained 2%. What is the ratio of the cost price of the bat of Hardik to that of kunal?

a)

3:2

b)

2:3

c)

6:5

d)

none of these

49.

An amount was lent for one year at the rate of 18% per annum compounding annually. Had the compounding been done half yearly, the interest would have increased by Rs. 324. What was the amount (in Rs.) lent?

a)

Rs.35000

b)

Rs.40000

c)

Rs.38000

d)

Rs.29000

50.

Evaluate 1000^7 / 10^14 = ?

a)

10^3

b)

10^2

c)

10^5

d)

10^7

51.

3^( x – y )=27 and 3^( x + y )=243, then x is equal to...

a)

5

b)

3

c)

2

d)

4

52.

In the following question, there are two equations

(I) and (II). Solve the equations and answer accordingly.


I. (10/x2) - (13/x) + 4 = 0

II. (14/y2) + 2 = (11/y)

a)

x < y

b)

x > y

c)

x = y

d)

x ≤ y

53.

The solution of the pair of equation (x/2) + y = 0.8 and 7/[x + (y/2)] = 10 is...

a)

x = 3/5; y = 2/5

b)

x = 2/5; y = 3/5

c)

x = 4/5; y = 7/5

d)

x = 3/5; y = 4/5

54.

A horse and a cow were sold for Rs. 540, making a profit of 25% on the horse and 20% on the cow. By selling for Rs. 538, the profit would be 20% on the horse and 25% on the cow.

Quantity I: CP of one cow

Quantity II: CP of one horse

a)

quantity I < quantity II

b)

quantity I = quantity II

c)

quantity I > quantity II

d)

none of these

55.

Evaluate 13 + 23 + 33 + 43 + 53 = ?

a)

215

b)

245

c)

225

d)

235

56.

What is the value of sqrt(1.5625) ?

a)

1.65

b)

1.58

c)

1.56

d)

1.25

57.

The product of two numbers is 120. The sum of their squares is 289. Find the sum of two numbers.....

a)

21

b)

18

c)

15

d)

23

58.

What approximate value should come in place of the question mark (?) in the following question. No need to calculate the exact value.

4.78% of 1255 + 3.24% of 440 = 0.5% of ?

a)

13000

b)

14500

c)

14800

d)

15400

59.

The product of LCM and HCF of two numbers is 48. The difference of two numbers is 8. Find the numbers?

a)

2,15

b)

3,56

c)

4,12

d)

5,25

60.

The HCF and LCM of two numbers are 8 and 48 respectively. If one of the numbers is24, then the other number is.............

a)

12

b)

16

c)

18

d)

21