Explore topic-wise MCQs in Arithmetic Ability.

This section includes 1365 Mcqs, each offering curated multiple-choice questions to sharpen your Arithmetic Ability knowledge and support exam preparation. Choose a topic below to get started.

551.

If x2 + kx + k = 0, has two distinct real solutions, then the value of k will satisfy_x005F_x000D_

A. k<0 or k>4
B. k>4 only
C. 0<k<4
D. k<0 only
Answer» B. k>4 only
Discussion
552.

If x2 + kx + 7.5k =0 has no solution, then the value of k will satisfy_x005F_x000D_

A. 0 < k < 30
B. k < 0
C. k > -30
D. k < 30
Answer» B. k < 0
Discussion
553.

If (x- 7)2 + (y + 10)2 + (z - 6)2 = 0, then find the value of x + y+ z._x005F_x000D_

A. 1
B. 3
C. 5
D. 7
Answer» C. 5
Discussion
554.

If (x - 7)2 + (y + 10)2 + (z - 6)2 = 0, then find the value of x + y + z._x005F_x000D_

A. 1
B. 3
C. 5
D. 7
Answer» C. 5
Discussion
555.

If (x + y)2 - xy = 0, then find the value of x3 - y3x - y._x005F_x000D_

A. 2
B. 3
C. 0
D. 5
Answer» D. 5
Discussion
556.

If x = 0.139, then what is the value of  4x2 + 4x + 1 ?_x005F_x000D_

A. 1.39
B. 1.278
C. 2.139
D. 1.69
Answer» C. 2.139
Discussion
557.

If θ is acute angle and sin(θ+18°)= 1/2, then the value of θ in circular measure is

A. Π/12 radians
B. Π/15 radians
C. 2Π/5 radians
D. 3Π/13 radians
Answer» C. 2Π/5 radians
Discussion
558.

If the value of √42 is approximately 6.480, then what is the approximate value of √(6/7)?

A. 0.925
B. 0.935
C. 0.945
D. 0.955
Answer» B. 0.935
Discussion
559.

If the value of θ = 30°, then the value of tan2θ + cot2θ._x005F_x000D_

A. 44256
B. 44259
C. 44264
D. 44265
Answer» E.
Discussion
560.

If the sum of the digits of any integer between 100 and 1000 is subtracted from the same integer , the resulting number is always divisibleby

A. 2
B. 5
C. 6
D. 9
Answer» E.
Discussion
561.

If the two lines px + 6y+3=0 and 2x + qy+3=0 have infinite solutions then find the value of p and q respectively.

A. 2,6
B. 6,2
C. 2,2
D. 6,6
Answer» B. 6,2
Discussion
562.

If the simple interest on Rs. 1 for 1 month is 1 paisa, then the rate percent per annum will be

A. 0.1
B. 0.08
C. 0.12
D. 0.06
Answer» D. 0.06
Discussion
563.

If the selling price is Rs 1680 after getting a discount of 16%, what was the marked price?

A. Rs 2000
B. Rs 1948.8
C. Rs 1411.2
D. Rs 1448
Answer» B. Rs 1948.8
Discussion
564.

If the mean of m observations out of n observations is n and the mean of remaining observations is m, then what is the mean of all n observations?

A. 2m –m^2/n
B. 2m –m/n
C. 2m
D. 2m –m
Answer» B. 2m –m/n
Discussion
565.

If the equation 4x + 3y + 5 = 0 and 6x - ky - 7 = 0 have no solution, then the value of k is

A. -4.5
B. -8
C. 8
D. 4.5
Answer» B. -8
Discussion
566.

If the angle of elevation of the sun decreases from 45° to 30°, then the length of the shadow of a pillar increases by 60m. The height of the pillar is

A. 60(√3+1) m
B. 30(√3-1) m
C. 30(√3+1) m
D. 60(√3-1) m
Answer» D. 60(√3-1) m
Discussion
567.

If (tanA + tanB)/(1 ­ tanAtanB) = x, then the value of x is

A. tan(A + B)
B. tan(A -­ B)
C. cot(A + B)
D. cot(A ­- B)
Answer» B. tan(A -­ B)
Discussion
568.

If tanA = x, then x is

A. √(cosec2A + 1)
B. √(sec2A + 1)
C. √(cosec2A - 1)
D. √(sec2A - 1)
Answer» E.
Discussion
569.

If tanA + tanB = X, then the value of X is

A. (tanA - tanB)/(1 + tanAtanB)
B. (tanA + tanB)/(1 - tanAtanB)
C. (tanA + tanB)/(1 + tanAtanB)
D. (tanA - tanB)/(1 - tanAtanB)
Answer» C. (tanA + tanB)/(1 + tanAtanB)
Discussion
570.

If tanA -­ tanB = X, then the value of X is

A. (tanA + tanB)/(1 -­ tanAtanB)
B. (tanA + tanB)/(1 + tanAtanB)
C. (tanA -­ tanB)/(1-­ tanAtanB)
D. (tanA -­ tanB)/(1 + tanAtanB)
Answer» E.
Discussion
571.

If (tanA ­- tanB)/(1 + tanAtanB) = x, then the value of x is

A. tan(A -­ B)
B. tan(A + B)
C. cot(A ­- B)
D. cot(A + B)
Answer» B. tan(A + B)
Discussion
572.

If tanA - cotA = x, then value of x is?

A. (1 + 2cos2A)/(sinA cosA)
B. (sinA cosA)/(1 - 2cos2A)
C. (sinA cosA)/(1 + 2cos2A)
D. (1 - 2cos2A)/(sinA cosA)
Answer» E.
Discussion
573.

If tan x = 1, 0 < x < 90, then what is the value of 2 sin x cos x?

A. 44228
B. 1
C. √3/2
D. √3
Answer» C. √3/2
Discussion
574.

If tan θ + sec θ = (x – 2)/(x + 2), then what is the value of cos θ?

A. (x2 – 1)/(x2 + 1)
B. (2x2 – 4)/(2x2 + 4)
C. (x2 – 4)/(x2 + 4)
D. (x2 – 2)/(x2 + 2)
Answer» D. (x2 – 2)/(x2 + 2)
Discussion
575.

If Tan θ = 9/40, then Sec θ = ?

A. 40/41
B. 15220
C. 41/40
D. 41/9
Answer» D. 41/9
Discussion
576.

If Tan θ = 7/24, then what is the value of Sec θ?

A. 24/25
B. 44401
C. 44402
D. 25/24
Answer» E.
Discussion
577.

If Tan θ = 7/24, then what is the value of Cosec θ?

A. 25/24
B. 44402
C. 44401
D. 24/25
Answer» C. 44401
Discussion
578.

If Tan θ = 4/3, then what is the value of Sin θ?

A. 1.25
B. 0.8
C. 44259
D. 44289
Answer» C. 44259
Discussion
579.

If tan ­-5π/3 = x, then the value of x is

A. √3
B. 1
C. -0.5
D. √3/2
Answer» B. 1
Discussion
580.

If tan π/3c + cosec π/6c = x, then x is

A. (1-√2)/√2
B. (√3+4)/2√3
C. √3+2
D. (2√2-1)/2
Answer» D. (2√2-1)/2
Discussion
581.

If Tan A = 15/8 and Tan B = 7/24, then Tan (A - B) = ?

A. 304/297
B. 304/425
C. 416/87
D. 87/416
Answer» B. 304/425
Discussion
582.

If Tan A = 15/8 and Tan B = 7/24, then Cos (A + B) = ?_x005F_x000D_

A. 87/425
B. 304/425
C. 297/425
D. 416/425
Answer» B. 304/425
Discussion
583.

If Tan A = 15/8 and Tan B = 7/24, then Cos(A - B) = ?

A. 297/425
B. 304/425
C. 87/425
D. 416/425
Answer» B. 304/425
Discussion
584.

If tan 45° + cosec 30° = x, then find the value of x.

A. √3
B. (1-2√2)/√2
C. (√3-4)/2√3
D. 3
Answer» E.
Discussion
585.

If tan A = 1/2 and tan B = 1/3, then what is the value of tan (2A + B)?

A. 1
B. 3
C. 5
D. 9
Answer» C. 5
Discussion
586.

If SinX-CosX=1, where 'X' is an acute angle, the value of SinX+CosX is

A. 0
B. 1
C. 44228
D. 2
Answer» C. 44228
Discussion
587.

If sum of the areas of the circumcircle and the incircle of an equilateral triangle is 770 cm2, then what is the area (in cm2) of the triangle?

A. 125√3
B. 147√3
C. 156√3
D. 169√3
Answer» C. 156√3
Discussion
588.

If sum of the roots of a quadratic equation is ­-7 and product of the roots is 12. Find the quadratic equation.

A. x2 + 7x + 12 = 0
B. x2 -­ 7x + 12 = 0
C. x2 -­ 7x -­ 12 = 0
D. x2 + 7x -­ 12 = 0
Answer» B. x2 -­ 7x + 12 = 0
Discussion
589.

If Sinx = 4/5, then 1 + Tan2x =_x005F_x000D_

A. 45901
B. 25/16
C. 45748
D. 44464
Answer» E.
Discussion
590.

If Sinx = 4/5, then Secx/Sinx = ?

A. 44553
B. 44311
C. 44320
D. 44555
Answer» E.
Discussion
591.

If sinC - sinD = x, then value of x is

A. 2sin[(C+D)/2]cos[(C-D)/2]
B. 2cos[(C+D)/2]cos[(C-D)/2]
C. 2cos[(C+D)/2]sin[(C-D)/2]
D. 2sin[(C+D)/2]sin[(D-C)/2]
Answer» D. 2sin[(C+D)/2]sin[(D-C)/2]
Discussion
592.

If sinC + sinD =X, then the value of X is?

A. 2cos[(C+D)/2]sin[(C-D)/2]
B. 2sin[(C+D)/2]cos[(C-D)/2]
C. 2cos[(C+D)/2]cos[(C-D)/2]
D. 2sin[(C+D)/2]sin[(D-C)/2]
Answer» C. 2cos[(C+D)/2]cos[(C-D)/2]
Discussion
593.

If sinA = x, then x is equal to

A. √(1 - cos2A)
B. √(1 - sin2A)
C. √(1 + cos2A)
D. √(1 + sin2A)
Answer» B. √(1 - sin2A)
Discussion
594.

If (sinA + CosA)/(sin A - cos A) = 5/4, the value of (tan2A + 1)/(tan2A - 1) = ?

A. 41/40
B. 41609
C. 40/41
D. -0.63265306122449
Answer» E.
Discussion
595.

If sin(A/2) = x, then the value of x is

A. √[(1 + cosA)/2]
B. √[(1 -­ cosA)/2]
C. √[(1 -­ sinA)/2]
D. √[(1 + sinA)/2]
Answer» C. √[(1 -­ sinA)/2]
Discussion
596.

If sinA/(1 + cosA) = x, then x is

A. cosecA + cotA
B. secA - cotA
C. secA + cotA
D. cosecA - cotA
Answer» E.
Discussion
597.

If sin3A = x, then value of x is

A. 3sinA + 4sin3A
B. 4sin3A -­ 3sinA
C. 4sin3A + sinA
D. 3sinA -­ 4sin3A
Answer» E.
Discussion
598.

If sin x + cos x = √2 sin x, then the value of tan x is

A. √2 - 1
B. √2 + 1
C. 1
D. √2
Answer» C. 1
Discussion
599.

If Sin x = 4/5, then Cosec x + Cot x =

A. 44561
B. 35/12
C. 2
D. 44228
Answer» D. 44228
Discussion
600.

If sinθ x cosθ = 1⁄2 . The value of sinθ ­- cosθ is where 0°< θ< 90°

A. 0
B. √2
C. 2
D. 1
Answer» B. √2
Discussion