Below Simplification quiz are Multiple Choice Questions (MCQs) type Quiz. These Simplification MCQ Questions helps you to refresh your Simplification, you can see the correct option by clicking on it. .
1. 0
1
0
416/87
213/4
2. ΔDEF is right angled at E. If sinD = 15/17, then what is the value of cotF ?
15/17
8/17
15/8
17/15
3. If 2x + 2(4 + 3x) < 2 + 3x > 2x + x/2; then x can take which of the following values?
-3
1
0
-1
4. Value of (cos 53° - sin 37°) is
2 sin 37 ̊
2 cos 53 ̊
0
1
5. If P = 7 + 4√3 and PQ = 1, then what is the value of (1/P2) + (1/Q2)?
148
189
194
204
6. If 1 - 64x3 - 12x + px2 = (1-4x)3, then the value of p is
48
-12
-48
16
7. If √y = √4 - √6, then find the value of y2 - 20y + 12.
4
8
10
12
8. What is the value of (-7776)25
16
36
64
21
9. Solve the following expression. 5.6 - [2 + 0.6 of (2.1 - 2.6 x 1.12)]
7.7112
7.7113
4.0871
4.0872
10. If x3 = 62 - 32, then the value of x is
9
6
3
1
11. If the expression px3 – qx2 – 7x – 6 is completely divisible by x2 – x – 6, then what is the value of p and q respectively?
0, 1
1, 0
2, 1
1, 2
12. What is the simplified value of [2/(cot A – tan A)]?
sin A cos A
tan 2A
sin2 A
cos2 A
13. If sec (3x – 20°) = cosec (3y + 20°), then what is the value of tan (x + y)?
1
√3
1/√3
2√3
14. Reduce 3596 / 4292 to lowest terms.
29/37
17/43
31/37
19/23
15. If x + √5 = 5 + √y, and x, y are positive integers, then the value of x+yx + y
1
2
√5
5
16. In the given figure, cosθ is equal to
5/13
12/13
5/12
12/5
17. sin 30°1 + cos30° + 1 + cos30°sin30° = ?
4
3
1
2
18. If y = 13 + 23 + 33 + 43 + 53 + 63 then find the value of y - 1.
429
439
440
441
19. If 3n = 2187, then the value of n is:
13
14
15
16
20. What is (x-y)3+y-23+z-x33x-yy-zz-x =?
1
0
1/3
3
21. If x/y = 4/9, then what is the value of (7x2 – 19xy + 11y2)/y2 ?
59/81
100/27
319/81
913/81
22. If x/y = 4/9, then what is the value of (7x2 – 19xy + 11y2)/y2 ?
59/81
100/27
319/81
913/81
23. If x + (1/x) = 2, then what is the value of x21 + (1/x1331)?
0
1
2
3
24. If 2x + (9/x) = 9, then what is the minimum value of x2+1x2 = ?
95/36
97/36
87/25
623/27
25. If a2b+c=b2C+a=a2a+b=1 then 11+a+11+b+11+c is
1
2
3
4
26. If 3x + 4y – 11 = 18 and 8x – 6y + 12 = 6, then what is the value of 5x – 3y – 9?
18
– 9
– 27
– 18
27. If (x2/yz) + (y2/zx) + (z2/xy) = 3, then what is the value of (x + y + z)3?
0
1
2
3
28. If 5(4-x) - 4 < 3x - 2 > 4x - 6; then the value of x is
3
1
2
5
29. If tan x = 1, 0 < x < 90, then what is the value of 2 sin x cos x?
1/2
1
√3/2
√3
30. What is the value of [(cos 7A + cos 5A)÷(sin 7A – sin 5A)]?
tan A
tan 4 A
cot 4 A
cot A
31. Which of the following statement(s) is/are TRUE? I. 225 + 441256 > 2.5II. 289 + 529169 > 3
Only I
Only II
Neither I nor II
Both I and II
32. x2 (x-4)2(x+4)2-4x ÷ (x2-4x)3(x+4)2 × 64-x316-x2 is equal to
x+4x−4
x+4x(4-x)
x+4x(x-4)
x+4x-4
33. If cosec4A - cosec2A = x, then value of x is?
tan4A + tan2A
cot4A + cot2A
cot4A - cot2A
tan4A - tan2A
34. If cosec4A - cosec2A = x, then value of x is?
tan4A + tan2A
cot4A + cot2A
cot4A - cot2A
tan4A - tan2A
35. Triangle PQR is inscribed in a circle such that P, Q and R lie on the circumference. If PQ is the diameter of the circle and ∠PQR = 40°, then what is the value (in degrees) of ∠QPR?
40
45
50
55
36. If 3x + [1/(5x)] = 7, then what is the value of 5x/(15x2+ 15x + 1)?
1/5
1/10
2/5
10
37. Δ LMN is right angled at M. If m∠N = 60°, then Tan L =______.
1/2
1/√3
1/√2
2
38. The value of [54-(5÷2)×8]+1348-4÷3×8-2?
89/106
141/127
141/106
89/127
39. What is the smplified value of Sin2A/1+Cos2A ?
tan A
cot A
sin A
cos A
40. cot2A + cos2A is equal to
(cosecA - sin2(cosecA + sin
(cosecA + sin(cosecA - sin
(secA + sin(secA - sin
(secA - sin2(secA + sin
41. cot2A + cos2A is equal to
(cosecA - sin2(cosecA + sin
(cosecA + sin(cosecA - sin
(secA + sin(secA - sin
(secA - sin2(secA + sin
42. Δ LMN is right angled at M. If m∠N = 60 deg., then Tan L =______.
1/2
1/√3
1/√2
2
43. Δ LMN is right angled at M. If m∠N = 60 deg., then Tan L =______.
1/2
1/√3
1/√2
2
44. If p/q = (x+3)/(x-3), then what is the value of p2+q2p2-q2 ?
x+9
x2+96x
x2+186x
0
45. If 27x + 27[x–(1/3)] = 972, then what is the value of x?
2
3
4
5
46. If p/q = (x+3)/(x-3), then what is the value of p2+q2p2-q2 ?
x+9
x2+96x
x2+186x
0
47. What is the value of tan4A + tan2A?
sec4A - sec2A
sec4A + sec2A
cosec4A - sec2A
sec4A + cosec2A
48. If 1 + secA = x, then the value of x is
sinAtanA/(1 + cos
√[sinAtanA/(1 - cos]
sinAtanA/(1 - cos
√[sinAtanA/(1 + cos]
49. If 27x + 27[x–(1/3)] = 972, then what is the value of x?
2
3
4
5
50. A spherical lead ball of radius 6 cm is melted and small lead balls of radius 3 mm are made. The total number of possible small lead balls is
4250
4000
8005
8000
51. What is the square root of (3 – 2√2)/(3 + 2√2)?
3 – 2√2
3 + 2√2
1
17
52. If b + c = ax, c + a = by, a + b = cz, then the value 19[1x+1+1y+1+1z+1] is:
1/9
1
0
1/3
53. Two points P and Q are at the distance of x and y (where y > x) respectively from the base of a building and on a straight line. If the angles of elevation of the top of the building from points P and Q are complementary, then what is the height of the building?
xy
√( y/ x)
√( x/ y)
√( xy)
54. Two labourers A and B are paid a total of Rs. 1120 per day. If A is paid 180 percent of what is paid to B, how much (in Rs) is B paid?
400
720
500
620
55. Δ DEF is right angled at E. If m∠D = 45%., then Cosec F =
1/2
1/√2
√2
1/√3
56. If x2-4x+4=0, then the value 16 (x4 - x14) is
127
255
12716
25516
57. If a + b + c = 11 and ab + bc + ca = 17, then what is the value of a3 + b3 + c3 – 3abc?
121
168
300
770
58. If 1/3(12x/5 - 1/2) + 6/5 = 7/6, then what is the value of x?