MATH FOR ALL

1. Which of the following equations has x = 2 as a solution?
a) x + 2 = 5     b) x – 2 = 0    c) 2x + 1 = 0    d) x + 3 = 6          

2. Rohit has a sum of Rs x. She spent Rs 1000 on grocery, Rs 500 on clothes and Rs 400 on education, and received Rs 200 as a gift. How much money (in Rs) is left with her?

a) x – 1700           b) x – 1900          c) x + 200             d) x – 2100  

3. If a bus travels 160 km in 4 hours and a train travels 320km in 5 hours at uniform speeds, then the ratio of the distances travelled by them in one hour is

a) 1 : 2                   b) 4 : 5                   c) 5 : 8                   d) 8 : 5  

4. If an angle is 60° less than two times of its supplement, then the greater angle is

 (a) 100°              (b) 80°                (c) 60°                  (d) 120°

5. 4/5 of 5 kg apples were used on Monday. The next day 1/ 3 of what was left was used. Weight (in kg) of apples left now is

(a) 2/ 7                (b) 1/14             (c) 2/ 3                 (d) 4/ 21

6. If Mohan’s income is 25% more than Raman’s income, then Raman’s income is less than Mohan’s income by 

(a) 25%               (b) 80%              (c) 20%                 (d) 75%

7. In a triangle, one angle is of 90°. Then 

(i) The other two angles are of 55° each
 (ii) In remaining two angles, one angle is 90° and other is 45°
(iii) Remaining two angles are complementary
In the given option(s) which is true?
 (a) (i) only            (b)(ii) only                        (c) (iii) only                          (d) (i) and (ii)

8. If one of the angles of a triangle is 110°, then the angle between the bisectors of the other two angles is 

(a) 70°                   (b) 110°                             (c) 35°                                  (d) 145°

9. Area of a rectangle and the area of a circle are equal. If the dimensions of the rectangle are 14cm × 11 cm, then radius of the circle is

 (a) 21 cm            (b) 10.5 cm                        (c) 14 cm                             (d) 7 cm.

10. The marks (out of 10) obtained by 28 students in a Mathematics test are listed as below: 8, 1, 2, 6, 5, 5, 5, 0, 1, 9, 7, 8, 0, 5, 8, 3, 0, 8, 10, 10, 3, 4, 8, 7, 8, 9, 2, 0 The number of students who obtained marks more than or equal to 5 is

 (a) 13                      (b) 15                           (c) 16                                         (d) 17 

11. The ratio of the number of sides of a square to the number of edges of a cube is 

(a) 1 : 2                    (b) 3 : 2                        (c) 4 : 1                                      (d) 1 : 3

12.  Which of the following fractions is the greatest?

 (a) 5/ 7                    (b) 5/ 6                        (c) 5/9                                        (d) 5/8

13.The percent that represents the unshaded region in the figure

 (a) 75%            (b) 50%            (c) 40%                (d) 60%

14. A bus travels 54 km in 90 minutes. The speed of the bus is 

(a) 0.6 m/s        (b) 10 m/s        (c) 5.4 m/s         (d) 3.6 m/s

15. The smallest number to be added to 1000, so that 45 divides the sum exactly, is :
(a) 35                 (b) 80                    (c) 20             (d) 10

16.If 78*3945 is divisible by 11, where * is a digit, then * is equal to 

(a) 1                   (b) 0                      (c) 3                (d) 5

17. In a farm there are cows and hens. If heads are counted they are 180, if legs are counted they are 420. The number of cows in the farm is 

(a) 130              (b) 150                 (c) 50             (d) 30

18. The sum of all prime numbers between 58 and 68 is 

(a) 179              (b) 178                (c) 187           (d) 183

19. The sum of three consecutive odd natural numbers is 147. Then, the middle number is : 

(a) 47                (b) 48                  (c) 49              (d) 51

20. If the sum of two numbers is 3 and the sum of their squares is 12, then their product is equal to
 (a) 3/2             (b) 2/3                  (c) – 3/2       (d) – 2/3