First Year Assessment 2024

The sum of five consecutive numbers is 100. Find the first number.

• 20

• 18

• 25

• 30

Let an be the arithmetic progression, for which third term is 13 and eleventh term is 25. Find seventh term.

• 20

• 22

• 23

• 19

3 years ago, the average of a family of 5 members was 17 years. A baby having been born, the average age of the family is the same today. The present age of the baby is:

                               

• 5 years  

• 2 years

• 1 year

• 4 years 

Of the four numbers, the first is twice the second, the second is one-third of the third and the third is 5 times the fourth. The average of the numbers is 24.75. The largest of these numbers is:

              

• 40

• 25

• 30

• 45

The average age of students of a class is 15.8 years. The average age of boys in the class is 16.4 years and that of the girls is 15.4 years. The ratio of the number of boys to the number of girls in the class is:

              

• 1 : 4

• 2 : 3

• 3 : 4   

• 4 : 2  

The ratio of the number of boys and girls in a college is 7 : 8. If the percentage increase in the number of boys and girls be 20% and 10% respectively, what will be the new ratio?

        

• 8 : 9

• 17 : 18

• 21 : 22   

• 10 : 11

Salaries of Ravi and Sumit are in the ratio 2 : 3. If the salary of each is increased by Rs. 4000, the new ratio becomes 40 : 57. What is Sumit's salary?

       

• Rs. 17,000

• Rs. 20,000

• Rs. 25,500

• Rs. 38,000

If 0.75 : x :: 5 : 8, then x is equal to:

                                

•   1 : 12  

• 1 : 2

• 1 : 25

• 1 : 30

What percent of a day in 6 hours?

               a)                       b)                           c)                        d)       

• 25%

• 52%

•   50%

•   5%

Two-fifth of one-third of three seventh of a number is 15.What is 40% of that number?

              

• 501

• 105

• 525

• 150