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Aryabhatta Finals-Mock Test 3

Total questions: 53

Worksheet time: 37mins

Name
Class
Date
1.

Give a simple fraction for 6.25

(a)  

2.

Express 2/3 of 1/4 of Rs.25 as a fraction of 1 1/4 of Rs. 36

(a)  

3.

Convert 0.55̅ into vulgar fraction:

(a)  

4.

A fraction is divided by reciprocal of itself. It is then multiplied by the original. What is the fraction if the answer obtained is 2?

4 lines
5.

If a fraction's denominator is decreased by 60% and numerator is increased by 200%, the fraction becomes 5/7. What is the fraction?

(a)  

6.

What is the square of product of 31/129 and its reciprocal?

4 lines
7.

What is the square of product of 30/74 and 37/21?

4 lines
8.

What is the square of product of 32/78 and 54/36?

4 lines
9.

In a colony of 450 members, 4/9 of the members are male members. Find the number of male members.

a)

250

b)

240

c)

200

d)

260

10.

Multiply the following fractions: 12/5 and 10/16

a)

5429/42

b)

5423/42

c)

5427/42

d)

5425/42

11.

Evaluate the following: (𝟗 𝟏 𝟒 ÷ 𝟑√𝟔𝟒) − (𝟑 𝟒 ÷ 𝟔 𝟏 ) 𝟒

a)

719/400

b)

713/400

c)

721/400

d)

717/400

12.

If x + 5y = 16 and x = -4y, then y =?

a)

A. -16

b)

B. -8

c)

C. 12

d)

D. 16

13.

Which of the following is largest fraction amongst 5/8, 4/7, 5/9, 4/5?

a)

A. 4/7

b)

B. 5/9

c)

C. 5/8

d)

D. 4/5

14.

If a fraction's denominator is decreased by 60% and numerator is increased by 150%, the fraction becomes 10/13. What is the fraction?

a)

9/65

b)

7/65

c)

11/65

d)

8/65

15.

Since Ram was not paying attention in class, instead of multiplying M by 3/7, he divided M by 3/7. Ram's value was 2 more than expected value of M. What is M?

a)

A. 9/8

b)

B. 8/9

c)

C. 10/9

d)

D. 9/10

16.

A student was asked to multiply a number by 2/5. Instead, he divided it with 2/5 and got an answer 126 more than the correct answer. Find the number.

a)

56

b)

62

c)

60

d)

58

17.

4/5 of 2/3 of 5/6 of 5/8 of 1008 is:

a)

A. 240

b)

B. 260

c)

C. 320

d)

D. 280

18.

If one is added to the numerator of the fraction it becomes one. If one is added to the denominator of the fraction it becomes 1/3. The fraction is?

a)

A. 4/5

b)

B. 2/3

c)

C. 1/2

d)

D. 2/7

19.

6 1 + 5 1 + 4 1 = ?

a)

A. 487/30

b)

B. 481/30

c)

C. 483/30

d)

D. 485/30

20.

If a fraction's denominator is decreased by 80% and numerator is increased by 140%, the fraction becomes 20/7. What is the fraction?

a)

5/21

b)

8/21

c)

2/7

d)

3/7

21.

Solve: 𝟏𝟖 𝟏 ÷ 𝟑 × 𝟐𝟎 𝟐 𝟓 × 𝟑 𝟑 𝟐𝟐

a)

1172

b)

1173

c)

1175

d)

1177

22.

A student was asked to multiply a number by 16/9 but he multiplied it with 9/16 and got an answer 175 less than the correct answer. Find the number.

a)

142

b)

144

c)

154

d)

156

23.

Evaluate the following: 5 1 ÷ 4 (27) 1/3 - 7 3/4

a)

A. -6

b)

B. -4

c)

C. -6

d)

D. 4

24.

Give a simple fraction for 4.48

a)

112/25

b)

28/5

c)

56/25

d)

28/25

25.

In a town of 52500 members, 3/5 of the members are male members. Find the number of female members.

a)

21050

b)

21000

c)

21250

d)

21500

26.

Find the value of: 1 + 32/5 1 + 1 49 3 9

a)

A. 5957/2091

b)

B. 5951/2091

c)

C. 5955/2091

d)

D. 5953/2091

27.

Sam travels 330 km on three-fifths of his petrol tank. How far would he travel at the same rate with a full tank of petrol?

a)

A. 550 km

b)

B. 580 km

c)

C. 520 km

d)

D. 560 km

28.

2/7 part of tank is full of water. Another 1400 liters of water is required to completely fill the tank. The capacity of the tank is?

a)

1900 liters

b)

1950 liters

c)

1960 liters

d)

1980 liters

29.

How many 3/8 kg pieces can be cut from a cake of weight 12 kg?

a)

24

b)

48

c)

40

d)

32

30.

In a fraction the numerator is 7 less than the denominator. If one is added to the numerator and the denominator the denominator of the resultant fraction is double the numerator. Find the fraction.

a)

8/15

b)

6/13

c)

3/10

d)

5/12

31.

14 2 3 + 12 1 3 − 18 1 + 4 = ? 3 9

a)

80/9

b)

82/9

c)

83/9

d)

85/9

32.

1/6 of a number equals (2/5) ÷ (1/20). What is the number?

a)

A. 42

b)

B. 50

c)

C. 48

d)

D. 54

33.

Give a simple fraction for 2.48

a)

62/25

b)

30/13

c)

25/11

d)

54/23

34.

A student was asked to multiply a number by 7/9. Instead he divided it with 7/9 and got an answer 48 more than the correct answer. Find the number.

a)

263/4

b)

175/2

c)

277/4

d)

189/2

35.

A man gave 2/9 of his salary for rent, and 1/5 of the remaining for the grocery bills. Find the amount of money still left with the man, if his salary was Rs. 90000.

a)

Rs. 56200

b)

Rs. 56000

c)

Rs. 56500

d)

Rs. 56600

36.

How many 2/7 kg pieces can be cut from a cake of weight 26 kg?

a)

78

b)

91

c)

52

d)

65

37.

If 2x + 8y = 27 and x = (1/2)y, then x2 =?

a)

9/4

b)

9/16

c)

16/25

d)

4/25

38.

Eiffel tower's 1/5th part is painted bronze. 1/4th of the remaining part is painted maroon. Rest of the Eiffel tower has golden color. If the height of this golden colored part is 480m, what is Eiffel towers' height?

a)

A. 750 m

b)

B. 820 m

c)

C. 800 m

d)

D. 780 m

39.

If 11 is added to the numerator of the fraction it becomes two. If 2 is added to the denominator of the fraction it becomes 1/2. The fraction is?

a)

5/8

b)

3/7

c)

3/4

d)

6/7

40.

A class eats 2/5 of chocolates on 1st day. On the 2nd day they eat 3/4 of the remainder. How many chocolates were there initially if still 63 chocolates are left?

a)

A. 385

b)

B. 408

c)

C. 420

d)

D. 436

41.

The least of the following 0.002, (0.02)2, 0.2̅, 1÷0.2

a)

A. 0.2̅

b)

B. (0.02)2

c)

C. 0.002

d)

D. 1÷0.2

42.

Divide 3/10 by (1/4 of 9/5).

a)

3/2

b)

2/3

c)

5/6

d)

6/5

43.

Find the value of: 𝟐 + 𝟒 + 𝟐𝟐 ÷ 𝟒𝟓 𝟐𝟗 𝟏𝟑

a)

29/22

b)

27/22

c)

23/22

d)

25/22

44.

Divide 7/12 by (2/5 of 5/8).

a)

8/9

b)

6/7

c)

7/9

d)

7/8

45.

A man gave 1/5 of his salary for rent, and 1/4 of the remaining for the grocery bills. Find the amount of money still left with the man, if his salary was Rs.42,000.

a)

Rs. 25200

b)

Rs. 25210

c)

Rs. 25220

d)

Rs. 25250

46.

Evaluate the following: 𝟖 𝟏 ÷ 𝟒 √𝟑𝟐 − 𝟓 𝟏

a)

5/2

b)

-3/2

c)

-5/2

d)

3/2

47.

Find the value of: 𝟏 𝟑 − 𝟏 𝟏 𝟏 𝟕 𝟔𝟏𝟎 𝟕𝟖

a)

1/22

b)

1/18

c)

1/21

d)

1/20

48.

The product of two numbers is 1/3 and their quotient is 6/18, find the pair of numbers?

a)

A. 1/2, 2/3

b)

B. 1/3, 1

c)

C. 1/4, 4/3

d)

D. 1/2, 3/2

49.

In a class of 60 students, one day 1/5 of the students were absent. Find the number of present students on that day.

a)

48

b)

52

c)

50

d)

45

50.

The value of 2/3 + 1/4 + 1/5 + 1/6 is:

a)

A. 233/420

b)

B. 271/435

c)

C. 218/445

d)

D. 260/421

51.

In a fraction the numerator is 5 less than the denominator. If six is added to the denominator the denominator of the resultant fraction is double the numerator. Find the fraction.

a)

13/18

b)

8/13

c)

12/17

d)

11/16

52.

In a class 3/4th of the students do not know either English or Hindi. But 1/6th of the students know English. How much students know both English and Hindi if students who know Hindi are 1/9th of total students in the class?

a)

A. 1/36

b)

B. 1/18

c)

C. 1/12

d)

D. 1/30

53.

8 1 3 + 9 1 4 − 6 1 = ? 2

a)

131/12

b)

137/12

c)

139/12

d)

133/12