Mathematics - MOST IMPORTANT CAPF Previous Year Questions

'A' completes a work in 10 days, while 'B' and 'C' complete it in 12 and 15 days respectively. In how many days can 'A', 'B' and 'C' together complete the work?

Kamla got married 6 years ago. Today her age is $\displaystyle 1\dfrac{1}{4}$ times her age at the time of marriage. Her son's age is $\displaystyle \dfrac{1}{10}$ times her present age. What is her son's age?

Distribution of work hours in a factory is shown in the table below:

What is the percentage of workers who worked for 40 or more hours?

8 oranges cost as much as 5 apples, 5 apples as much as 3 mangoes, 4 mangoes as much as 8 pineapples. If 3 pineapples cost Rs. 36, then an orange's cost is :

The grandfather's age is 4 years more than nine times the age of the grandson. The father's age of 40 years is 2 years less than six times the age of his son. The age of the grandfather is :

If $\displaystyle a \oplus b$ is defined as $\displaystyle a^b + b^a$, then consider :
I. $\displaystyle 2 \oplus x = 100$
II. $\displaystyle 4 \oplus x = 145$
III. $\displaystyle 3 \oplus x = 145$
IV. $\displaystyle 6 \oplus x = 100$

For which of the above, is $\displaystyle x$ smallest ?

If $\displaystyle 4 = 10^{2m}$ and $\displaystyle 9 = 10^{2n}$, then $\displaystyle 0.15$ equals to :

In a test a candidate attempted only 15 questions and secured full marks in all of them. If he obtained 60% marks in the test and all the questions in the test carried equal marks, the number of questions in the test is :

The mean age of combined group of men and women is 25 years. If the mean age of group of men is 26 and that of group of women is 21, then percentage of men and women in the group respectively is :

The width of a rectangle is $\displaystyle 4x$ which is only 25% of its length. What are the area and the perimeter of the rectangle respectively?

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

The sum of ages of 5 children born at the intervals of 3 years each is 50 years. Which one of the following is the age of the youngest child?

A number consists of two digits. If the digits interchange places and the new number is added to the original number, then the resulting number will always be divisible by :

Ms X drove at the speed of 45 km/hr from home to a resort. Returning over the same route she got stuck in traffic and took an hour longer, also she could drive only at the speed of 40 km/hr. How many kilometers did she drive each way?

X, Y and Z can finish a work in 12, 15 and 18 days respectively. In how many days will all the three finish the work?

If the ratio of the sum and difference of two numbers be 17 : 13, which one of the following is the ratio of the numbers?

The following table shows the installed capacity and production of vehicles over the years:

$\text{Capacity utilization} = \frac{\text{Production}}{\text{Installed Capacity}}$

Which one among the following categories has not experienced growth in installed capacity over the period of 2005 to 2007?

The following table shows the installed capacity and production of vehicles over the years:

$\text{Capacity utilization} = \frac{\text{Production}}{\text{Installed Capacity}}$

Which of the following statements is/are correct?

1. All categories of automobiles experienced a growth in production between 2006 and 2007.
2. In 2007 the capacity utilization of Jeeps was higher than that of Motor-bikes.
3. Cars, Scooters and Autorickshaws experienced a decline in production from 2006 to 2007.

Select the correct answer using the code given below :

Below are the sales figures for 3 different types of network servers over 3 months:

Which one of the following servers had its unit price changed in March?

In a class of 84 students, boys and girls are in the ratio of 5 : 7. Among the girls, 7 can speak both Hindi and English. 50% of the total students can speak only Hindi. The ratio of the number of students speaking only Hindi to those speaking only English is 21 : 16. The ratio of the number of boys speaking English only to that of girls speaking English only is 3 : 5.

What is the number of boys who speak both the languages?