Mix Test

Result

Mix Test - 2

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Weekly Quiz Competition

Question 1
1 / -0

Find the lowest number which when multiplied with 3087 makes it a perfect cube.

A
7

B
3

C
5

D
1

Solution

Prime factors of 3087 = 3 3 7 7 7
There are three 7's and two 3's. In order to make it a perfect cube, we need to multiply it with 3 and the resultant number 9261 will be a perfect cube which is a cube root of 21.
Question 2
1 / -0

Find the smallest number by which 192 should be divided in order to make it a perfect cube.

A
2

B
6

C
4

D
3

Solution

Prime factors of 192 = 2 2 2 2 2 2 3
There are six 2's and a single 3. In order to make a perfect cube, we will divide it by 3 and the resultant number will be 64 which is a cube root of 4.
Question 3
1 / -0

Which of the following numbers is a perfect cube?

A
144

B
169

C
343

D
81

Solution

144 is a square of 12... 144 = 12 12
169 is a square of 13.... 169 = 13 13
343 is a cube of 7.... 343 = 7 7 7
81 is a square of 9.... 81 = 9 9
Question 4
1 / -0

A train is moving at a uniform speed of 90 km/hr. How far will it travel in 40 minutes?

A
45 km

B
60 km

C
50 km

D
80 km

Solution

Since the train is moving at a uniform speed, therefore, the distance covered would be directly proportional to time. In 1 hour, the train covers 90 kms.
In 1 min, the train covers = 90/60 = 1.5 Kms.
So, in 40 mins, the train covers = 40 1.5 = 60 Kms.
Question 5
1 / -0

There are 60 toys in a box. Suppose a boy took out 40% of the toys, how many toys did he leave in the box?

A
30

B
24

C
36

D
20

Solution

A boy takes out 40% of 60 toys, which is equal to 40/100 60 = 24 toys
24 toys have been taken out from the box, so 60 - 24 = 36 toys left.
So, correct option is C = 36 toys
Question 6
1 / -0

Arun bought a pen for Rs. 10 and sold it for Rs. 12. What is the profit and profit percentage?

A
Rs. 2 and 20%

B
Rs. 2 and 10%

C
Rs. 1 and 10%

D
Rs. 1 and 20%

Solution

Profit would be = S.P. - C.P. which is 12 - 10 = Rs. 2.
Profit percentage = Profit/C.P. 100%
which is, 2/10 100 % = 20%
Question 7
1 / -0

The circumference of a circle is 88 cm². Find the radius of the circle.

A
24 cm

B
7 cm

C
14 cm

D
28 cm

Solution

Circumference of the circle is 2ðr. So, 2ðr = 88,
2 22/7x r = 88r = 88 7/22 2 = 14 cm
Question 8
1 / -0

In a mixture of 60 litres, the ratio of milk and water is 2 : 1. What is the quantity of water?

A
30 litres

B
20 litres

C
40 litres

D
15 litres

Solution

Milk is present in the mixture of 1 : 3
Quantity of water = 60 1/3 = 20 Litres.
Question 9
1 / -0

The length of a rectangle is three times it's breadth. If the total perimeter of the rectangle is 40 cm, what is the size of it's breadth?

A
10 cm

B
15 cm

C
5 cm

D
20 cm

Solution

According to the question, Length = 3 breadth and formula of perimeter of rectangle is 2(L+B) and total perimeter is 40 cm.
So, it can be written as 2(3B+B) = 40 solving the equations 2(4B) = 40,
8B = 40 and therefore, the breadth is 5 cm.
Question 10
1 / -0

There are 5 boys in a volleyball team. The ages of the boys are 20, 22, 23, 20 and 25 years respectively. Find the average age of the team.

A
21 yrs

B
20 yrs

C
24 yrs

D
22 yrs

Solution

Formula of Average = Sum of Observations/ Number of Observations. Therefore, the average age of the team = 20 + 22 + 23 + 20 + 25/ 5110/5 = 22 yrs
Question 11
1 / -0

If a three digit number 24y is divisible by 9. What is the value of y?

A
3

B
4

C
2

D
9

Solution

Since 24y is divisible by 9, therefore the sum of digits will also be divisible by 9. Hence 2 + 4 + y should be divisible by 9 i.e. 6 + y is divisible by 9.
It is only possible when 6 + y = 9 or 18
Since y is a digit, therefore, 6 + y = 9 and hence, y = 3.
Question 12
1 / -0

A box contains 10 apples and 15 oranges. Another box contains 20 apples and 10 oranges. Find the ratio of the total number of apples and oranges.

A
5 : 6

B
6 : 5

C
4 : 5

D
5 : 4

Solution

Total number of apples = 10 + 20 = 30
Total number of oranges = 15 + 10 = 25
Therefore, the ratio would be = 30 : 25, simplify by dividing both by 5 and answer would be 6 : 5.
Question 13
1 / -0

The cost of a Cricket bat is Rs. 500. A discount of 12% is offered by the shopkeeper. Find the price paid by the boy who bought the bat.

A
Rs. 400

B
Rs. 350

C
Rs. 440

D
Rs. 375

Solution

Discount Formula = C.P Discount Rate
Therefore, discount = 500 12/100
Discount = Rs. 60
Boy bought the bat for = 500 - 60 = Rs. 440
Question 14
1 / -0

In a triangle, the ratio of three angles is 2 : 3 : 4. Find the value of all angles.

A
20, 30, 40

B
40, 60, 80

C
50, 50, 80

D
40, 70, 70

Solution

The sum of a triangle is 180 degrees.
Ratio of angles are 2x, 3x and 4x.
So, it can be written as 2x + 3x + 4x = 180.
Solving the equation, 9x = 180 and hence, x = 20.
Values of angles are 2 20 = 40, 3 20 = 60 and 4 20 = 80.
Question 15
1 / -0

Two angles are said to be supplementary when the sum of angles are

A
90 degrees

B
100 degrees

C
180 degrees

D
200 degrees

Solution

Supplementary angles are those angles in which sum of angles is equal to 180 degrees.
Hence, the correct option is option C.