Simplification MCQ

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?

    • 1/6
    • -1/6
    • 1/5
    • -1/5
  • 59. On dividing 256a2b2c2 by 64a2, we get

    • 2cxc
    • 2bxb
    • 4 bxb.cxc
    • 4
  • 60. What is the unit digit of 15+25+35+...+205 ?

    • 0
    • 5
    • 2
    • 4