Algebra Worksheet-15

Algebra Worksheet-15

1. The statement "Thrice a number x decreased by 5 is equal to 27" is expressed in equation

(a) 5 – 3x = 27                              (b) 3x – 5 = 27

(c) –5 = 27                                     (d) 3x – 27 + 5 = 0

2. A number exceeds by 40 when added by 20% of itself. The number is

(a) 800               (b) 100               (c) 200               (d) 320

3. If a – b = 2, then a² + 2b – 4 in terms of b is

(a) b² – 6b + 4                              (b) b² + 4b

(c) b² + 6b                                      (d) b² + 6b – 4

4. The value of x so that 14(2x – 3) – 60x = 5(15 –9x) is

(a) 9                    (b) 10                  (c) 11                   (d) 8

5. The present age of A is twice that of B. 30 from now, age of A will be times that of  B. The present ages of A and 8 (in years) respectively, is

(a) 60, 30          (b) 30, 60          (c) 40, 50           (d) 50, 40

6. If 20% of 60% of a number is 144, then the number is

(a) 1200             (b) 2880            (c) 8640             (d) 1400

7. Read the riddle "I am a number, Tell my identity! Take me seven times over and add a fifty! To reach a triple century you still need forty! Here I am

(a) 30                 (b) 35                  (c) 40                  (d) 45

8. After a deduction of 5% from a certain sum and then 10% from the remainder, a sum of Rs. 171 is left. The original sum was

(a) Rs. 100        (b) Rs. 300        (c) Rs. 250        (d) Rs. 200

9. Irfan says that he has 7 marbles more than five times the marbles Parmit has. Irfan has 37 marbles. The number of marbles Parmit has

(a) 4                    (b) 5                    (c) 6                    (d) 7

10. is subtracted from a number and the difference is multiplied by 4. If 25 is added to  the product and the sum is divided by 3, the result is equal to 10. The number is

(a)                    (b)                   (c)                    (d)

11. The solution of is

(a) 5                    (b) –7                 (c) 7                    (d) –5

12. The average of three numbers is 60. The first is ^th of the sum of the other two. The first number is

(a) 24                  (b) 36                 (c) 48                  (d) 72

13. A number consists of two digits whose sum is 7. On subtracting 9 from the number its digits are interchanged. The number is

(a) 34                  (b) 43                 (c) 53                  (d) 35

14. Use the given balance scale to find out the value of k.

(a) 2                    (b) 6                    (c) 9                    (d) 7

15. What value of x makes the given equation true?

(a) 15                  (b) 20                 (c) 5                    (d) 10

Answer Key:

(1)-(b); (2)-(c); (3)-(c); (4)-(a); (5)-(a); (6)-(a); (7)-(a); (8)-(d); (9)-(c); (10)-(b); (11)-(c); (12)-(b); (13)-(b); (14)-(a); (15)-(c)