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LNMIIT Quiz 22nd May

Total questions: 25

Worksheet time: 22mins

Name
Class
Date
1.

A man and his wife appear in an interview for two vacancies in the same post. The probability of husband's selection is (1/7) and the probability of wife's selection is (1/5). What is the probability that only one of them is selected ?

a)

2/7

b)

1/7

c)

3/4

d)

4/5

2.

The cost price of 2 shirts and 3 jeans is Rs. 2200 and the cost price of 2 jeans and 4 shirts is Rs. 2400. Find the ratio between the cost price of the jeans and the shirt.

a)

8:9

b)

10:7

c)

6:9

d)

2:5

3.

The ratio of zinc and copper in a brass pieces is 13 : 7. How much zinc will be there in 100 kg of such a piece?

a)

20 kg

b)

34 kg

c)

65 kg

d)

60 kg

4.

Two numbers A and B are such that the sum of 5% of A and 4% of B is two-third of the sum of 6% of A and 8% of B. Find the ratio of A : B is

a)

2:3

b)

5:9

c)

7:3

d)

4:3

5.

Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour?

a)

4

b)

6

c)

8

d)

None of these

6.

A passenger train takes two hours less for a journey of 300 km if its speed is increased by 5 km/hr from its normal speed. The normal speed is:

a)

35 km/hr

b)

50 km/hr

c)

25 km/hr

d)

30 km/hr

7.

A thief is noticed by a policeman from a distance of 200 m. The thief starts running and the policeman chases him. The thief and the policeman run at the rate of 10 km and 11 km per hour respectively. What is the distance between them after 6 minutes?

a)

100 m

b)

150 m

c)

190 m

d)

200 m

8.

Out of the three numbers, the ratio between the first and the second number is 5:6 and the ratio between the second and the third number is 15:16. If the difference between the first and the third number is 700, find the average of all the numbers.

a)

2900

b)

3200

c)

3000

d)

2850

9.

The sum of the digits of a number N is 23. The remainder when N is divided by 11 is 7. What is the remainder when N is divided by 33?

a)

7

b)

29

c)

16

d)

13

10.

A man's speed with the current is 15 km/hr and the speed of the current is 2.5 km/hr. The man's speed against the current is:

a)

9 km/hr

b)

12.5 km/hr

c)

8.5 km/hr

d)

10 km/hr

11.

A Cistern is filled by pipe A in 8 hrs and the full Cistern can be leaked out by an exhaust pipe B in 12 hrs. If both the pipes are opened in what time the Cistern is full?

a)

16 hrs

b)

24 hrs

c)

32 hrs

d)

12 hrs

12.

A boat covers a certain distance downstream in 4 hours but takes 6 hours to return upstream to the starting point. If the speed of the stream be 3 km/hr, find the speed of the boat in still water

a)

12 km/hr

b)

13 km/hr

c)

14 km/hr

d)

15 km/hr

13.

A boatman can row 3 km against the stream in 20 minutes and return in 18 minutes. Find the rate of current

a)

1.5 km/hr

b)

.5 km/hr

c)

2/3 km/hr

d)

1/3 km/hr

14.

If toffees are bought at the rate 18 for a rupee, then how many of them must be sold for a rupee to gain 20%?

a)

14

b)

15

c)

16

d)

12

15.

I sell a table for Rs.24 and thus make a percentage of profit equal to the cost price. What did the table cost me?

a)

10

b)

20

c)

30

d)

40

16.

An increase, in the cost price of an article, by 22% leads to the value of Rs.61. What was the original cost price of the article?

a)

40

b)

45

c)

50

d)

55

17.

The average weight of a class of 24 students is 35 kg. If the weight of the teacher be included, the average rises by 400 g. The weight of the teacher is :

a)

45 kg

b)

46 kg

c)

47 kg

d)

48 kg

18.

The average of five consecutive odd numbers is 61. What is the difference between the highest and lowest numbers :

a)

4

b)

8

c)

12

d)

16

19.

10 years ago, the average age of a family of 4 members was 24 years. Two children having been born (with age diference of 2 years), the present average age of the family is the same. The present age of the youngest child is :

a)

1

b)

2

c)

3

d)

4

20.

Statements: Y < O ≤ G ≤ K = U > L > P

Conclusions: O = U , U > O

a)

Only conclusion I follows

b)

Either conclusion I or conclusion II follows

c)

Only conclusion II follows

d)

Both conclusions follow

21.

A sum of Rs. 8400 amount Rs.11,046 at 8.75 p.a. simple interest in certain time. What is the simple interest on sum of Rs.9600 at the same rate for the same time?

a)

Rs. 4000

b)

Rs. 3050

c)

Rs. 3000

d)

Rs. 3024

22.

What will be compound interest on sum of Rs.31,250 for 2 years at 12% p.a. if the interest is compounded 8 monthly?

a)

Rs. 8000

b)

Rs. 8116

c)

Rs. 9116

d)

Rs. 9500

23.

what is the square of 94 ?

a)

8116

b)

8236

c)

8836

d)

None of these

24.

Find the largest power of 7 that can exactly divide 777!

a)

123

b)

128

c)

77

d)

5

25.

Are the integers x, y and z consecutive?

1.The arithmetic mean (average) of x, y and z is y.

2.y-x = z-y

a)

Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.

b)

Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.

c)

BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked

d)

EACH statement ALONE is sufficient to answer the question asked.

e)

Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.