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Worksheets

4th Sem Model

Total questions: 40

Worksheet time: 51mins

Name
Class
Date
1.

There is a set of 30 numbers. The average of the first 10 numbers is equal to the average of last 20 numbers. What is the sum of last 20 numbers? 

a)

Twice the sum of the first ten numbers

b)

Sum of first 10 numbers. 

c)

Twice the sum of the last ten numbers

d)

Cannot be determined

2.

30 liters of 78% of a concentrated acid solution is to be prepared. How many litres of 90% concentrated acid needs to be mixed with 75% solution of concentrated acid to get the result? 

a)

10 

b)

c)

d)

3.

Find the total number of factors & sum of all factors of 1800 ?

a)

36 , 3045

b)

36 , 4045

c)

36 , 6045

d)

30 , 1045

4.

Find the unit digit of the expression?

3232 + 3333 + 3434 + 3535

a)

1

b)

0

c)

5

d)

9

5.

A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 854 in 4 years. The sum is

a)

698

b)

690

c)

454

d)

1669

6.

If 6 men and 8 boys can do a piece of work in 10 days while 26 men and 48 boys can do the same in 2 days, the time taken by 15 men and 20 boys in doing the same type of work will be:

a)

4 days

b)

5 days

c)

6 days

d)

7 days

7.

How many zeros at the end of 1000! ?

a)

349

b)

248

c)

249

d)

252

8.

A boat can travel with a speed of 13 km/hr in still water. If the speed of the stream is 4 km/hr, find the time taken by the boat to go 68 km downstream.

a)

2 hours

b)

3 hours

c)

4 hours

d)

5 hours

9.

What is the remainder when 1! + 2! + 3! + …. + 100! is divided by 5 ?

a)

0

b)

1

c)

2

d)

3

e)

4

10.

The chart given below is amount of work done by 6 worker. If B and C together can do work in 60 days, how much time would E and F together complete 60% of the same work

a)

25 days

b)

22.4 days

c)

18.5 days

d)

none of these

11.

Select a figure from the option is exactly embedded as one of its parts.

a)

A

b)

B

c)

C

d)

D

12.

If log 2 = 0.3010 and log 3 = 0.4771, the value of log5 512 is:

a)

2.870

b)

2.967

c)

3.876

d)

3.912

13.

A truck covers a distance of 376 km at a certain speed in 8 hours. How much time would a car take at an average speed which is 18 kmph more than that of the speed of the truck to cover a distance which is 14 km more than that traveled by the truck ?

a)

6

b)

5

c)

7

d)

8

14.

There was a plane crash, every single person died then who survived

(a)  

15.

Direction -

Five girls are sitting on a bench to be photographed. Seema is to the left of Rani and to the right of Bindu. Mary is to the right of Rani. Reeta is between Rani and Mary.

Q. Who is sitting immediate right to Reeta?

a)

Bindu

b)

Rani

c)

Mary

d)

Seema

16.

Mara runs faster than Gail.

Lily runs faster than Mara.

Gail runs faster than Lily.

If the first two statements are true then the third statement is

a)

True

b)

False

17.

Choose the correct water image of the question figure, from the given answer figures (assume that water is along XY)

a)

b)

c)

d)

18.

Three criminals were arrested for shop lifting. However, when interrogated, only one of them told the truth in both his statements, while the other two each told one true statement and one lie.
The statements were:

Ti-Ti: (a) Chi-chi passed the goods.

(b) Ki- Ki created the diversion.

Ki-Ki : (a) Ti-Ti passed the goods.

(b) I created the diversion.

Chi-Chi : (a) I took the goods out of the shop.

(b) Ki-Ki passed goods.

Who created the diversion?

a)

4. Either 1 or 2

b)

3. Ki-Ki

c)

2. Chi-chi

d)

1. Ti-Ti

19.

 

In a language survey of students it is found that 80 students know English, 60 know French, 50 know German, 30 known English and French, 20 know French and German, 15 know English and German and 10 students know all the three languages. How many students know at least one language?

a)

135

b)

10

c)

35

d)

40

20.

Solve the equation x² – 7x + 10 = 0 and find its roots.

a)

5, 2

b)

(3 +- √23)/2

c)

 (-8, 2)

d)

(10, 4)

21.

Study the following information carefully and answer the questions accordingly.

Statements: Y > T ≥ C ≥ D, E = U > G, G = Y

Conclusions: I. U > Y

II. T > U

a)

If only conclusion I follows

b)

If only conclusion II follows

c)

If either conclusion I or II follows

d)

If neither conclusion I nor II follows

e)

If both conclusions I and II follows

22.

The sum of Grandfather’s age and Tommy’s age is 82. Four years later, Grandfather’s age will be 5 time Tommy’s age. How old is Tommy 4 years ago?

a)

7

b)

11

c)

15

d)

8

23.

Walking at ¾ of his normal speed, Abhishek is 16 minutes late in reaching his office. The usual time taken by him to cover the distance between his home and office is

a)

48 minutes

b)

60 minutes

c)

42 minutes

d)

62 minutes

24.

The average of a group of men is increased by 5 years when a person aged of 18 years is replaced by a new person of aged 38 years. How many men are there in the group?

a)

7

b)

6

c)

4

d)

5

25.

A and B invest in a business in the ratio 3:2. If 5% of the total profit goes to charity and A's share is Rs.855, the total profit is:

a)

Rs. 1425

b)

Rs. 1500

c)

Rs. 800

d)

Rs. 560

26.

The cost price of 20 articles is same as the selling price of x articles. If the profit is 25%, then the value of x is:

a)

14

b)

15

c)

16

d)

17

27.

A shopkeeper expects a gain of 22.5% on his cost price. If in a week, his sale was of Rs. 392, what was his profit?

a)

Rs.18

b)

Rs.70

c)

Rs43

d)

Rs.72

28.

what it means?

(a)  

29.

The price of apple is first increased by 10% and then decreased by 10%. What is the change in the price of apple ?

a)

1%

b)

10%

c)

100%

d)

2%

30.

Ina class, 15 % of total number of students failed in science, 25% of total number of students failed in maths and 10% of total number of students failed in both. How much percentage of students passed in both maths and science?

a)

70%

b)

60%

c)

50%

d)

80%

31.

A dealer offered a machine for sale Rs. 27500, but even if he had charged 10% less, he would have made a profit of 10%. The actual cost of the machine is

a)

22000

b)

22500

c)

25000

d)

20000

32.

In a gathering 7 members are sitting in the row, C is sitting left to B but on the

right to D. A is sitting right to B. F is sitting right to E but left to D. H is sitting left to

E. Find the person sitting in the middle.

a)

C

b)

D

c)

E

d)

F

33.

Solve the following equation: x27=14\frac{x}{2}-7=14  

a)

42

b)

14

c)

212\frac{21}{2}  

d)

72\frac{7}{2}  

34.

Six persons are sitting in a circle. A is facing to B. B is to the right of E and left of C. C is to the left of D. F is to the right of A. Now, D exchange his seat with F and E with B.

  1. Who will be sitting to the left of D?

a)

A

b)

B

c)

F

d)

E

35.

What has Hands but can't clap?

(a)  

36.

What is the center of gravity?​

(a)  

37.

How many persons are there in the picture?

(a)  

38.

I lay eggs. I have feathers. I can fly. What am I?

a)
b)
c)
d)
39.

What do you think of this picture?

a)

all of them are smart

b)

fair enough

c)

the red guy is clever

d)

all of them are dumb

40.

What has a head and a tail but no body?

(a)