CAPF || Numerical Ability || Algebra || Mini Mock || 2020

There are two concentric circles. The radii of the two circles are 100 m and 110 m respectively. A wheel of radius 30 cm rolls on the smaller circle and another wheel rolls on the larger circle. After they have completed one revolution, it is found that the two wheels rolled equal number of times on their respective axes. What is the radius of the other wheel?

The difference between the compound interest and the simple interest for 2 years on a sum of money is Rs. 60. If the simple interest for 2 years is Rs. 1440, what is the rate of interest?

One year ago, a father was four times as old as his son. After six years his age exceeds twice his son’s age by 9 years. The ratio of their present age is

A distance X km is covered by two different trains with velocity v (in km/h) and kv (in km/h) in y and y + 3 h. respectively. If y < 13, then k is less than

‘A’, ‘B’ and ‘C’ started their independent businesses with equal amounts of capital. During the first year ‘A’ made 10% profit, ‘B’ incurred 10% Loss and ‘C’ made a profit of 5%. In the second year ‘A’ incurred 20% Loss, ‘B’ made profit of 20% and ‘C’ made profit of 5%. Which of the following is FALSE at the end of second year?

A three-digit number 4X3 is added to 984 to get a 4-digit number 13Y7. If 13Y7 is divisible by 11, then what is the value of (X + Y)?

The length of a rectangle is increased by 60%. By what per cent would the width have to be decreased to maintain the same area?

The age of ‘E’ is twice the age of ‘S’. To find out the difference in their ages, which of the following information is/are sufficient?

I. After five years, the ratio of their ages would be 9 : 5

II. Before ten years, the ratio of their ages was 3 : 1

Two racing cars of masses m1 and m2 are moving in circles of radii r1 and r2 respectively. Their speeds are such that each car makes a complete circle in the same time ‘t’. The ratio of angular speed of the first to that of the second car is:

In a family, the age of father, mother, son and grandson are A, B, C and D, respectively. Given that, A - B = 3, B + C = 78, C + D = 33 and the average age of the family as 34 yr, then B - C is

If the number

is visible by , then which one of the following is the maximum value of n?

If a cubical container of length, breadth and height each of 10 cm can contain exactly 1 litre of water, then a spherical container of radius 10.5 cm can contain

A king ordered to make a crown from 8 kg of gold and 2 kg of silver. The goldsmith took away some amount of gold and replaced it by an equal amount of silver and the crown when made, weight 10 kg. The king knows that under water gold loses  of its weight, while silver loses . When the crown was weighed under water, it was 9.25 kg. How much gold was stolen by the goldsmith?

Suppose R is the region bounded by the two curves Y = x2 and Y = 2x2-1 as shown in the following diagram

Two distinct lines are drawn such that each of these lines partitions the regions into at least two parts. If 'n' is the total number of regions generated by these lines, then

Consider the following diagrams:

Which one of the following is the missing number in the diagrams given above?