Basic Algebra Mathematics Questions

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Here is solved Mcq’s related to MathematicsPortion. Each has near to 50 Mcq’s which are related to basics. Answer of these Mcq’s is given with each Mcq.

Basic Algebra Questions

 

1. Find the value of the function x3+2+5 at = 2
A. 15 B. 17
C. 18 D. 19
E. 20

Answer: Option B

2. 7n2 – 7n + 5 – (3n + 7n2) =
A. 5 + 10n B. 10n – 5
C. ?10n + 5 D. 45 – 10n
E. 30 + n

Answer: Option C

3. If a = 3 b = -1 c = 2 which is true (I) a+b+c = 4 (II) 3a + 5b = 4 (III) 2c – 5a = 6
A. I only B. II only
C. I and III D. I and II
E. III only

Answer: Option D

4. (7x-49) / (x-7) =
A. x-7 B. x
C. 7 D. 7x
E. 49

Answer: Option C

5. 4×2 + 16x + 36 is equivalent to?
A. 4(x2+4x+4) B. 4(x+4) (x+4)
C. 4x (x+4+9) D. 4 (x2+4x+9)
E. 4 (x2+6x+9)

Answer: Option D

6. (8/Z)+(6/Z) x (40/Z) =? If Z=2
A. 27 B. 32
C. 40 D. 60
E. 64

Answer: Option E

7. (a+b)2 + (b+c)2 =
A. a2 + 2b2 + 2ab + c2 + 2bc B. a2 + b2 + c2 + 2ab + 2bc
C. a2 – b2 + c2 + 2ab + 2bc D. 2a2 + 2b2 + 2c2 + ab + bc
E. none

Answer: Option A

8. (ab x (a+b)))/(1/a+1/b) = ? If a = 1 b = 2
A. 3 ? 8 B. 8 ? 4
C. 11 ? 8 D. 8 ? 2
E. 9 ? 2

Answer: Option D

9. If 9/a = 7/a2 then a = ?
A. 7 ? 9 B. 9 ? 7
C. 7 D. 9
E. 63

Answer: Option A

10. If b = -3 and a = 2 then a2 + b2 + 2ab = ?
A. ?17 B. ?16
C. ?7 D. 16
E. 17

Answer: Option A

11. If a x 51 x 48 x 54 = 16 x 17 x 18 then a =
A. 1 ? 27 B. 1 ? 250
C. 25 D. 27
E. 500

Answer: Option A

12. (x2yz + xy2z + xyz2) / xyz
A. xy+xy+yz B. xy+yz+zx
C. x+y+z D. x2+y2+z2
E. (x+y+z)/xyz

Answer: Option C

13. (a+b)2 + (a-b)2 =
A. 2(a2+b2) B. 2(a2+2b2)
C. 4ab D. 4(a+b)
E. 2(a2+b2)

Answer: Option A

14. If x = 5 y=4 z=3 then which of the following is true? (I) x+y+z = 11 (II) x+y-z = -6 (III) x+Y+z = 12 (IV) -x+y-z = -4
A. I and II B. III and IV
C. all D. none

Answer: Option B

15. (12a2 – 144a) / (a-12) = ?
A. 12a B. 12a2
C. 11a D. 144axa

Answer: Option A

16. (9/a)+(21/a)x(36/a)=? If a = 3
A. 80 B. 120
C. 100 D. 87

Answer: Option D

17. (x+y)2 + (y+z)2 =
A. x2+y2+z2+2xy+4yz B. x2+y2+z2+4xy+2yz
C. x2+2y2+z2+2y(x+z) D. x2+2y2+z2+2x(y+z)
E. none

Answer: Option C

18. If 17-m = 12-n then m-n =?
A. 5 B. ?5
C. 4 D. 3
E. none

Answer: Option A

19. (p2-q2) / (p+q) = 50 then p-q = ?
A. 25 B. 45
C. 49 D. 50

Answer: Option D

20. (x+y)2 – (x-y)2 =
A. 2(x2-y2) B. 2(x2+y2)
C. 2×2-2y2-2xy D. 4xy

Answer: Option D

21. If 12/m = 15/m2 then m =
A. 5?4 B. 3?5
C. ?5?3 D. ?3?5
E. none

Answer: Option A

22. If x = (p+q)/(p-q) then x-1 = ?
A. q/p-q B. 2q/(p+q)
C. 2p(p-q) D. 2q/(p-q)
E. 2q

Answer: Option D

23. If p+q = 4 q+r = -2 r+p=3 then p+q+r =?
A. 2?5 B. 5?2
C. 6?2 D. 5
E. 6

Answer: Option B

24. If 5a=2b=40c what is the value of 8a+5b in terms of c?
A. 10c B. 164c
C. 52c D. 25c
E. 82c

Answer: Option B

25. If p=10/(q+2) what is value of pq is terms of p?
A. 2(5-P) B. 10/p
C. 3(p-5)/p D. 2(p-5)/p
E. none

Answer: Option A

26. Divide (x-y)/(x+y) by (y+x)/(y-x) =
A. ?1 B. 0
C. 1 D. ?(x-y)2/(x+y)2
E. [(y-x)/(x+y)]

Answer: Option D

27. The trinomial x2+x-20 is exactly divisible by:
A. x-5 B. x+4
C. x-10 D. x-4
E. x-2

Answer: Option D

28. If a = p + prt they r = ?
A. (a-1) / t B. (a-p) / pt
C. a-p-pt D. a/t
E. (a+p) / pt

Answer: Option B

29. (a3+b)2 – (a3-b)2 +
A. ?4a3b B. 0
C. (2ab)2 D. 4a3b
E. 4a2b

Answer: Option D

30. If (5w)(5x) = 5y/5z what is z in terms of w x and y?
A. y/wx B. y-w-x
C. w+x-y D. y-wx
E. y/w+x

Answer: Option B

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