# Maths Questions For Competitive Exams With Solutions PDF

### Maths Questions For Competitive Exams With Solutions

Q.1: What is the greatest five-digit number that is completely divisible by 8, 15, 16, 21 and 5 ?
(A) 95760
(B) 98320
(C) 99120
(D) 92680

Q.2: When (224 – 1) is divided by 7, the remainder is:
(A) 4
(B) 2
(C) 1
(D) 0

Q.3: If the five-digit number 672 XY is divisible by 3, 7 and 11, then what is the value of (6x + 5y) ?
(A) 16
(B) 23
(C) 17
(D) 24

Q.4: If a nine-digit number 489 x 6378 y is divisible by 72, then the value of $\sqrt{8x + 6y}$

will be:
(A) 10
(B) 6
(C) 8
(D) 4

Q.5: If the nine-digit number 87605x31y is divisible by 72, then the value of 2x-3y is:
(A) -1
(B) 0
(C) 1
(D) 2

Q.6: When a positive integer ‘n’ is divided by 12, the remainder is 5. What will be the remainder if 8n2 + 7 is divided by 12?
(A) 5
(B) 3
(C) 2
(D) 4

Q.7: If 7183 +7383 is divided by 36, the remainder is:
(A) 13
(B) 9
(C) 0
(D) 8

Q.8: If 3147 +4347 is divided by 37, the remainder is:
(A) 0
(B) 2
(C) 1
(D) 3

Q.9: If the number 4A306768B2 is divisible by both 8 and 11, then the smallest possible values of A and B will be:
(A) A = 3, B = 5
(B) A = 5, B = 4
(C) A = 5, B = 2
(D) A = 5, B = 3

Q.10: If the 11-digit number 4y6884805x6 is divisible by 72, and, then the value of $\sqrt{xy}$ is:
(A) $\sqrt{12}$
(B) $\sqrt5$
(C) $\sqrt6$
(D) $\sqrt8$

#### Basic Average Questions

Q1. The average runs scored by 11 players of a cricket team is 23 runs. If the first player scored 113 runs. Find the average runs of the remaining players.

1) 8 Runs
2) 12 Runs
3) 14 Runs
4) 27 Runs

Q2. The average weight of 15 oarsmen in a boat is increased by 1.6 kg when one of the crews, who weighs 42 kg, is replaced by a new man. Find the weight of the new man (in kg).

1) 67
2) 65
3) 66
4) 43

Q3. The average mark of 50 students in a class is 72. The average marks of boys and girls in that subject are 70 and 75 respectively. The number of boys in the class is

1) 20
2) 35
3) 25
4) 30

Q4. The average weight of 8 persons increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg. The weight of the new person is

1) 84 Kg
2) 85 Kg
3) 76 Kg
4) 76.5 Kg

Q5. Six friends have an average height of 167 cm. A boy with a height of 162 cm leaves the group. Find the new average height.

1) 168 cm
2) 166 cm
3) 169 cm
4) 167 cm

Q6. The average of 1, 3, 5, 7, 9, 11, ………… to 25 terms is

1) 125
2) 25
3) 625
4) 50

Q7. The average of some natural numbers is 15. If 30 is added to the first number and 5 is subtracted from the last number the average becomes 17.5 then the number of natural numbers is

1) 15
2) 30
3) 20
4) 10

Q8. There are 100 students in 3 sections A, B and C of a class. The average marks of all the 3 sections were 84. The average of B and C was 87.5 and the average mark of A is 70. The number of students in Section A was

1) 30
2) 35
3) 20
4) 25

Q9. The average of all the numbers between 6 and 50 which are divisible by 5 is

1) 27.5
2) 30
3) 28.5
4) 22

Q10. The average of 20 numbers is 15 and the average of the first five is 12. The average of the rest is

1) 16
2) 15
3) 14
4) 13