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Worksheets

National Mathematics Day

Total questions: 50

Worksheet time: 37mins

Name
Class
Date
1.

Look at this series: 12, 11, 13, 12, 14, 13, … What number should come next?

a)

10

b)

16

c)

13

d)

15

2.

If salary of a person increased by 10% and then reduced by 10%, then what is the change in salary?

a)

does not change

b)

decreases by 1%

c)

increases by 1%

d)

None of these

3.

A girl goes to school at a speed of 4km/hr and returns to the village at a speed of 3km/hr. If she takes 7 hours in all, what is the distance between the village and the school?

a)

7 km

b)

12 km

c)

5 km

d)

8 km

4.

What number do you get when you multiply all of the numbers on a telephone number pad?

a)

55

b)

0

c)

1

d)

5

5.

Ten years ago, P was half of Q's age. If the ratio of their present ages is 3:4, what will be the total of their present ages?

a)

45

b)

30

c)

35

d)

40

6.

1.  Let A be a square matrix of order 3 ×\times  3. Then  kA\left|kA\right|    is equal to 

a)

 k9Ak^9\left|A\right|   

b)

 k2Ak^2\left|A\right|  

c)

 k3Ak^{3^{ }}\left|A\right|  

d)

 3kA3k\left|A\right|  

7.

A man is 24 years older than his son. In two years, his age will be twice the age of his son. What is the present age of his son?

a)

23 year

b)

22 years

c)

21 years

d)

20 years

8.

The Simple Interest on Rs.5000 in 4 years @ y% p.a. equals the Simple Interest on Rs.8000 @ 10% p.a. in 2 years. Find the value of y.

a)

4%

b)

16%

c)

32%

d)

8%

9.

The difference between simple and compound interest on a certain sum of money for 2 years at 5 per cent per annum is Rs. 65. The sum of money is:

a)

Rs. 26000

b)

Rs. 24655

c)

Rs. 23260

d)

Rs. 35990

10.

A container contains 40 litres of milk. From this container 4 litres of milk was taken out and replaced by water. This process was repeated further two times. How much milk is now contained by the container?

a)

29.16 litres

b)

28 litres

c)

28.2 litres

d)

26 litres

11.

One of our Prime Minister born on 29th February 1896 and expired on 10th April 1995. How many Birthdays he celebrated in his life?

a)

99

b)

100

c)

23

d)

21

12.

The average weight of X, Y and Z is 45 kg. If the average weight of X and Y be 40 kg and that of Y and Z be 43 kg, then the weight of Y is:

a)

31 kg

b)

26 kg

c)

59 kg

d)

46 kg

13.

X starts a business with Rs.45000. Y joins in the business after 3 months with Rs.30000. What will be the ratio in which they should share the profit at the end of the year?

a)

1:2

b)

2:1

c)

3:1

d)

1:3

14.

If the length of a rectangle is halved and its breadth is tripled, what is the percentage change in its area?

a)

50% increase

b)

25% increase

c)

25%decrease

d)

50%decrease

15.

Which movie is based on Srinivasa Ramanujan?

a)

The Theory of Everything

b)

Pi

c)

The Man Who Knew Infinity

d)

A Beautiful mind

16.

What is the largest 4 digit number exactly divisible by 88?

a)

9944

b)

9900

c)

9988

d)

9999

17.

If A is any invertible matrix then A is

a)

square matrix

b)

non singular matrix

c)

both

d)

none of these

18.

Find next term : 4, 6, 12, 18, 30, ...?

a)

42

b)

44

c)

77

d)

88

19.

The price of 24 apples is equal to that of 28 oranges. The price of 45 apples and 60 oranges together is Rs. 1350. The total price of 30 apples and 40 oranges is

a)

940

b)

920

c)

900

d)

880

20.

The cube root of 0.000729 is

a)

0.9

b)

0.21

c)

0.11

d)

0.09

21.

Ramanujan number 1729 is very interesting number because it is a smallest number expressible as a sum of two cubes in two different ways. One pair is 10,9. Which is other pair

a)

9,10

b)

12,1

c)

11,8

d)

None of these

22.

In a dairy farm, 40 cows eat 40 bags of husk in 40 days. In how many days one cow will eat one bag of husk?

a)

40

b)

1

c)

20

d)

26

23.

Which year was celebrated as the National Year of Mathematics?

a)

2014

b)

2012

c)

2016

d)

2018

24.

36 men can complete a piece of work in 18 days. In how many days will 27 men complete the same work?

a)

22

b)

26

c)

24

d)

12

25.

Directions for question: Read the following information carefully and answer the question given below:

X is the mother of Y, but Y is not his daughter.

Z is the son of Y. A is the husband of X.

B is the sister of Y. C is the daughter of B.

D is the wife of Z.E is the father of D.

Who is the cousin of Z?

a)

E

b)

F

c)

Y

d)

C

26.

What is the probability of flipping a coin

3 times and getting at least 2 heads?

a)

1/8

b)

1/4

c)

1/2

d)

5/8

27.

One day raj left home and walked 5 km northwards, turned right and walked for 10 km and turned left and walked 5 km more and finally turned left and walked 10km. How many kilometres will he have to walk to reach his home straight?

a)

15 KM

b)

20 KM

c)

25 KM

d)

5 KM

28.

Statements: A > B, B ≥ C, C < D

Conclusions:

I. A > C

II. A = C

a)

Only I is true

b)

Only II is true

c)

Either I or II true

d)

Neither I nor II is true

29.

Which of the following numbers is divisible by each one of 7, 19 and 21?

a)

5234

b)

626

c)

11172

d)

8316

30.

Find m if (m-2)x2 -(5+m)x +16=0 has equal roots

a)

51,3

b)

31,7

c)

44,8

d)

55,7

31.

The sum of first 20 odd natural numbers is equal to:

a)

210

b)

300

c)

400

d)

420

32.

If a number is multiplied by 50% of itself, then it gives a number which is 300% more than the number. Find the number.

a)

4

b)

16

c)

32

d)

8

33.

Pythagorean Theorem Day does not come every year. The Last Pythagorean Theorem Day was on 16-12-20. The next will be on:

a)

08-08-22

b)

16-04-24

c)

24-07-25

d)

12-12-26

34.

What is the maximum number of people who can share 35 five-rupee notes, 21 ten-rupee notes and 14 twenty-rupee notes equally?

a)

7

b)

12

c)

24

d)

30

35.

Amit is cleverer than Rohan. Sudeep is cleverer than Amit, but not more than Harshit. Garima is the cleverest of them all. If they are arranged in ascending order of cleverness, then who among the following will hold the middle position?

a)

Amit

b)

Rohan

c)

Sudeep

d)

Harshit

36.

What will be the annual income of Shyam, if he spends 1/3rd on his wife, ¼th on his children and 1/5th on other expenditures, and saves Rs.1800 per month?

a)

432000

b)

423000

c)

234000

d)

None of these

37.

12% of 3/4 of a number is 18, then the number is:

a)

100

b)

108

c)

92

d)

200

38.

A train passes two bridges of length 800 m and 400 m in 100 seconds and 60 seconds respectively. The length of the train is?

a)

200

b)

90

c)

120

d)

150

39.

There are two taps P and Q that can fill a tank in 10 and 20 minutes respectively. Both of them are opened together and after 2 minutes P is closed. How long more it take for Q alone to fill the tank?

a)

15 min

b)

14 min

c)

7 min

d)

4 min

40.

Find out the average of the remaining two numbers if the average of six numbers is 5. The average of two of them is 4.5, while the average of the other two is 4.8.?

a)

5.5

b)

5.7

c)

4.6

d)

5.8

41.

Out of six consecutive integers, if the sum of first three is 33, what is the sum of the remaining three numbers?

a)

48

b)

42

c)

54

d)

46

42.

Evaluate (X-A)*(X-B)*(X-C)........*(X-Y)*(X-Z) when X=99

a)

3

b)

2

c)

1

d)

0

43.

How many subsets does the set L = {M,A,T,H,S,} have?

a)

4

b)

8

c)

16

d)

32

44.

You pick a marble from this bag.

What is the probability you will choose either a black or white marble?

a)

3/5

b)

9/100

c)

1/10

d)

2/5

45.
a)
Function
b)
Not a Function
46.

Simplify i1023

a)

i

b)

-1

c)

1

d)

-i

47.
How many squares are in this picture?
a)
26
b)
18
c)
36
d)
40
48.

What would be the order of the matrix product A.B?

If A1X4 and B3X7

a)

1X7

b)

3X4

c)

4X7

d)

Product is Not Defined

49.

A matrix A is both symmetric and skew symmetric if A is

a)

Null matrix

b)

unit matrix

c)

row matrix

d)

none of these

50.

If the sides of a triangle are 13, 7, 8 the greatest angle of the triangle is:

a)

π/3

b)

π/2

c)

2π/3

d)

3π/2