Q Bank & Answer - GENERAL MATHEMATICS

 1.The value of x2  - 5 at x= -1 is- (C)

A. -2 

B. -1

C. -4 

D. -5

Answer - C. -4 

2. What is the value of 5x25  - 3x32 + 2x-12 at x=1? (C)

A. 0 

B. 2

C. 4 

D. None of these

Answer  - C. 4 

3. If base area of a room 12 m2 and height is 3 m then its volume is: (B)

A. 4 m3 

B. 36 m3

C. 12 m3

 D. 18 m3

Answer  - B. 36 m3

4. Which of the following is the difference between the squares of 21 and 22?(D)

A. 21 

B. 22

C. 42 

D. 43

Answer  -  D. 43

5. How old will I be after 10 years, if my age before 10 years was ‘x’ years? (A)

A. X + 20 

B. X - 20

C. X + 10 

D. X ‐ 10

Answer  - A. X + 20 

6. If an article sold for Rs 100 then there is a gain of Rs 20, which of the following is the gain percent?(A)

A. 25% 

B. 22%

C. 20% 

D. 16 . %

Answer  -   A. 25% 

7. What is the value of (-1)-1 ? (B)

A. 0 

B. -1

C. 1 

D. None of these

Answer  - B. -1

8. Which of the following is the value of 'm' in 6m / 6-3 = 65 ? (D)

A. -3 

B. -2

C. 3 

D. 2

Answer  -  D. 2

9. Which of the following is the value of (4 / 5)-9 / (4 / 5)-9 ? (C)

A. (4/5)18 

B. 4/5

C. 1 

D. (5/4)9

Answer  -  C. 1 

10. Which of the following lies between 0 and -1? (C)

A. 0 

B. -3

C. -2/3 

D. 4/3

Answer  -  C. -2/3 

11. Which of the following is the product of 7/8 and -4/21? (A)

A. -1/6 

B. 1/12

C. -16/63 

D. -147/16

Answer  - A. -1/6 

12. What is the product of (x+a) and (x+b)? (D)

A. x2+ (a-b)x + ab 

B. x2 + (a+b)x – ab

C. x2 - (a+b)x + ab

D. x2 + (a+b)x + ab

Answer  -  D. x2 + (a+b)x + ab

13. 0.003 × 0.02 = ? (D)

A. 0.06 

B. 0.006

C. 0.0006 

D. 0.00006

Answer  -  D. 0.00006

14. What is the average of the numbers: 0, 0, 4, 10, 5, and 5 ? (C)

 A. 2 

B. 3

C. 4 

D. 5

Answer  -   C. 4 

15. In a class of 40 students 20% are girls. How many boys are there in the class?(D)

A. 26 

B.28

C. 30 

D. 32

Answer  -   D. 32

16.The value of cos 0°. cos 1°. cos 2°. cos 3°… cos 89° cos 90° is (C)

A. 1 

B. -1 

C. 0 

D. - 0

Answer  -  C. 0 

17. If x tan 45° sin 30° = cos 30° tan 30°, then x is equal to (D)

A. √3 

B. 2

C. 3

D. 1

Answer  - D. 1

18.If A and (2A – 45°) are acute angles such that sin A=cos (2A – 45°),then  tan A is equal to

A. 0 

B. -1

C. 1 

D. √3

Answer -  C. 1 

19.If in ΔABC, ∠C = 90°, then sin (A + B) = 

A. 0 

B. 1/2 

C. 

D. 1

Answer -   D. 1

20.The value of sin² 30° – cos² 30° is (D)

A.1/2 

B. √3/2

C.3/2 

D.-1/2

Answer -  D.-1/2

21.In an AP, if a = 3.5, d = 0, n = 101, then an will be (B)

(A) 0 

(B) 3.5 

(C) 103.5 

(D) 104.5

Answer -  (B) 3.5 

22. The 21st term of the AP whose first two terms are –3 and 4 is (B)

(A) 17 

(B) 137 

(C) 143 

(D) –143

Answer -  (B) 137 

23. Q is directly proportional to √p Q = 21 when p = 9, the value of Q when p = 81 is  (A)

(A).63 

B. 64 

C.56 

D.67

Answer -   (A).63 

24. The values of the remainder r,when a positive integer a is divided by3 are (C)

(A) 0, 1, 2, 3 

(B) 0, 1 

(C) 0, 1, 2 

(D) 2, 3, 4

Answer -  (C) 0, 1, 2 

25.On a morning walk, three persons step off together and their steps measure 40 cm, 42 cm and 45 cm, respectively. What is the minimum distance each should walk so that each can cover the same distance in complete steps? (A)

(A) 2520cm 

(B) 2525cm 

(C) 2555cm 

(D) 2528cm

Answer -  (A) 2520cm 

26. Solve the simultaneous equations 13x - 6y = 20, 7x + 4y = 18

(A)x = 2, y = 1 

B. x = 4, y = 8 

C. x = 6, y = 1 

D. x = 2, y = 4

Answer -  x = 2, y = 1 

27. One third of sum of two angles is 60° and one fourth of their difference is 28°. The angles are (C)

A.30° and 44° 

B.34° and 90° 

C.146° and 34° 

D.130° and 60°

Answer -   C.146° and 34° 

28. If 200 students filled the form for entrance test and 180 appeared in the test out of which only 70% have passed the test then the number of students who failed the test are (B)

A.68 

B.54 

C.58 

D.65

Answer - B.54 

29 After reduction of 8% in water bill, Rs.300 remains to be paid then original bill to be paid before reduction is (B)

A.Rs.362 

B.Rs.326 

C.Rs.350 

D.Rs.355

Answer -  B.Rs.326 

30. If the width of rectangle is 10cm lass than its length and its perimeter is 50cm then the width of rectangle is (C)

A.58cm² 

B.64cm² 

C.15cm² 

D.30cm²

Answer -  C.15cm² 

31.The kind of quadrilateral in which opposite pairs of the sides are parallel and equal is called (A)

A.Parallelogram 

B. trapezium 

C. triangle 

D. semi-circle

Answer -  A.Parallelogram 

32 The Highest Common Factor of given numbers 72 and 56 is (D)

A.7 

B.3 

C.2 

D.8

Answer - D.8

33. The Least Common Multiple (LCM) of 2² x 4² and 2³ x 4² is (D)

A.712 

B. 412 

C. 612 

D.512

Answer -  D.512

34. 7 identical pipes fill 3 identical tanks 45mins, 5 pipes fill one of these tanks in (B)

A.20min 

B.21min 

C.15min 

D.10min

Answer -  B.21min 

35. Q is directly proportional to √p Q = 21 when p = 9, the value of Q when p = 81 is (A)

A.63 

B. 64 

C.56 

D.67

Answer - A.63