Mix Test

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Mix Test - 1

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Weekly Quiz Competition

Question 1
1 / -0

In a class of 40 students, 1/5^th of the total students like to study English, 2/5^th like to study Maths and the rest like to study Science. How many students like to study Science?

A
12

B
14

C
16

D
18

E
15

Solution

Total number of students who study English and Maths = 1/5 + 2/5 = 3/5
The fraction of students who study Science = 1 - 3/5 = 2/5
No. of students who like to study Science = 2/5 of 40 = 16 students
Question 2
1 / -0

If Sumit reads 1/3^rd of the book in 2 hrs, what part of the book will he read in 3 hours?

A
7/12

B
5/12

C
6/14

D
3/14

E
2/13

Solution

In 2 hrs he reads 1/3^rd of the book.
In 1 hr he reads 1/6^th of the book.
In 3 hrs or 7/2 hrs he reads 1/6 7/2 = 7/12^th of the book.
Question 3
1 / -0

What is the value of 3/4 + 2/8 + 1/2?

A
1/2

B
5/2

C
3/2

D
7/2

E
9/2

Solution

LCM of 2, 4 and 8 is 8.
3/4 + 2/8 + 1/2 = (6 + 2 + 4)/8 = 12/8 or 3/2
Question 4
1 / -0

If the cost of 1/5 kg of apples is Rs. 20, what is the cost of 2 kg of apples?

A
Rs. 250

B
Rs. 200

C
Rs. 220

D
Rs. 230

E
Rs. 210

Solution

1/5 kg of apples cost Rs. 20.
Then 1 kg of apples costs Rs. 20 5 equals Rs. 100

Cost of 2 or 5/2 kg of apples = 5/2 100 = Rs. 250
Question 5
1 / -0

If a person saves 3/5^th of the income he earns, find his monthly savings if he earns Rs. 20000 per month.

A
Rs. 10000

B
Rs. 11000

C
Rs. 12000

D
Rs. 12500

E
Rs. 13000

Solution

3/5^th of 20000 = Rs. 12000
Question 6
1 / -0

What is the value of 2/3 of 2?

A
12/5

B
13/4

C
13/5

D
11/6

E
11/5

Solution

2/3 11/4 = 11/6
Question 7
1 / -0

Ram purchased 2 kg of apples and 3 kg of oranges. What is the total weight of fruits purchased by him?

A
25/4

B
23/4

C
22/4

D
21/6

E
23/5

Solution

11/4 + 7/2 = (11 plus 14)/4 = 25/4
Question 8
1 / -0

Seema has 60 pencils with her. She gives 20 pencils to her friend. What fraction of pencils is left with her?

A
1/4

B
3/4

C
2/3

D
4/5

E
1/5

Solution

No. of pencils she is left with = 60 - 20 = 40
Fraction of pencils left with her = 40/60 or 2/3
Question 9
1 / -0

A man has a property worth Rs. 5,00,000. He donated 1/3^rd of his property to his son, 1/3^rd to his daughter and 1/6^th to charity. How much amount is he left with?

A
Rs. 80000

B
Rs. 85000

C
Rs. 82000.83

D
Rs. 83333.33

E
Rs. 84000

Solution

The total amount that he gives = 1/3 + 1/3 + 1/6 = 5/6
Fraction of property left with him = 1 - 5/6 = 1/6
1/6^th of 5,00,000 = Rs. 83,333.33
Question 10
1 / -0

A garden has 200 plants. 120 plants are of roses and 80 plants are of other types. If 50 rose plants are planted in the garden, find the old as well as new fraction of rose plants.

A
3/5 and 17/5

B
2/5 and 16/3

C
1/5 and 16/5

D
2/5 and 12/5

E
3/5 and 17/3

Solution

Old fraction of rose plants = 120/200 or 3/5
New fraction of rose plants = 170/250 or 17/25
Question 11
1 / -0

Simplify: (5/2 2/10) + (3/5 20/9)

A
11/6

B
13/6

C
14/5

D
17/8

E
12/5

Solution

5/2 2/10 = 1/2 and 3/5 20/9 = 4/3
1/2 + 4/3 = 11/6
Question 12
1 / -0

What fraction must be added to 1/3, so that their sum equals to the sum of 1/2 and 5/3?

A
12/5

B
11/6

C
13/7

D
18/8

E
13/5

Solution

The sum of 1/2 and 5/3 = 13/6
Let the fraction to be added be x
Then 1/3 + x = 13/6
i.e. x = 13/6 - 1/3 = 11/6
Question 13
1 / -0

Express 5 in terms of percentage.

A
500%

B
520%

C
525%

D
530%

E
540%

Solution

Converting the denominator to 100 by multiplying it by 25
21/4 25/25 = 525/100 = 525%
Question 14
1 / -0

A shopkeeper has 10 m of cloth. If he has to cut each piece of m, how many pieces will he cut? Also what is the cost of each piece, if the cost of the cloth is Rs. 50 per m?

A
13pcs, Rs. 35

B
13pcs, Rs. 40

C
14pcs, Rs. 45

D
14pcs, Rs. 50

E
13pcs, Rs. 55

Solution

No. of pieces = 52/5 ÷ 5/4 = 13 pieces
Cost of 1 m of cloth = 50 Rs
Cost of 4/5 m cloth = 4/5 * 50 = Rs. 40
Question 15
1 / -0

Express 50 m as a fraction of 1 km.

A
1/12

B
1/13

C
1/15

D
1/17

E
1/20

Solution

1 km = 1000 m
Fraction will be 50/1000 = 1/20