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.

1151.

√[(1 ­ sinA)/(1 + sinA)] is equal to?

A. secA -­ tanA
B. cosecA -­ cotA
C. secA + tanA
D. cosecA + cotA
Answer» B. cosecA -­ cotA
Discussion
1152.

θ is a positive acute angle and sinθ ­ cosθ = 0, then the value of secθ + cosecθ is

A. 2
B. √2
C. 2√2
D. 3√2
Answer» D. 3√2
Discussion
1153.

What is the value of (cosec45 + √3/2) ?

A. 44352
B. (4+√3)/2√3
C. (2√2+√3)/2
D. 3√3/2
Answer» D. 3√3/2
Discussion
1154.

In ΔABC measure of angle B is 90 deg. If cotA = 7/24, and AB = 1.4cm, then what is the length (in cm) of side AC?

A. 5
B. 4.8
C. 4
D. 5.6
Answer» B. 4.8
Discussion
1155.

(−5) {20 − (−2) × (−8)}= ?_x005F_x000D_

A. 1180
B. 20
C. −20
D. −180
Answer» D. −180
Discussion
1156.

ΔXYZ is right angled at Y. If sinX = 4/5, then what is the value of cosZ ?_x005F_x000D_

A. 44289
B. 44260
C. 44320
D. 44259
Answer» D. 44259
Discussion
1157.

ΔXYZ is right angled at Y. If m∠Z = 60°, then Cosec X =

A. 2
B. 44228
C. 1/√2
D. 1/√3
Answer» B. 44228
Discussion
1158.

ΔXYZ is right angled at Y. If m∠Z = 45°, then find the value of (cosecX - 2/√3).

A. (2-√3)/2√3
B. (1-√6)/√2
C. (√6-2)/√3
D.
Answer» D.
Discussion
1159.

ΔXYZ is right angled at Y. If m∠X = 45°, then find the value of (cosecZ + √3/2)._x005F_x000D_

A. (2√2+√3)/2
B. 44352
C. (1+2√3)/2
D. (√2+1)/√2
Answer» B. 44352
Discussion
1160.

ΔXYZ is right angled at Y. If m∠Z = 30°, then find the value of (sinX - 3/√2)._x005F_x000D_

A. (√6-6)/2√2
B. (√2-√3)/√6
C. -0.5
D. (1-2√3)/2
Answer» B. (√2-√3)/√6
Discussion
1161.

ΔXYZ is right angled at Y. If m∠X = 60 deg, then find the value of (cotZ + 2)_x005F_x000D_

A. (2√2+1)/2_x005F_x000D_
B. √3+2_x005F_x000D_
C. (√6+1)/√3_x005F_x000D_
D. (2√2+√3)/2
Answer» C. (√6+1)/√3_x005F_x000D_
Discussion
1162.

ΔXYZ is right angled at Y. If m∠X = 30 deg, then find the value of (cosZ + 1/3)._x005F_x000D_

A. (2+√3)/2_x005F_x000D_
B. (2√2+√3)/2_x005F_x000D_
C. 1+√3_x005F_x000D_
D. 44352
Answer» E.
Discussion
1163.

ΔPQR is right angled at Q. If tanP = 24/7, then what is the value of cosR ?

A. 44402
B. 24/25
C. 44401
D. 45474
Answer» C. 44401
Discussion
1164.

ΔXYZ is right angled at Y. If m∠X = 30 deg, then find the value of (sinZ + √3).

A. 4/√3
B. 5/√3
C. 44259
D. 3√3/2
Answer» E.
Discussion
1165.

ΔUVW is right angled at V. If secU = 5/3, then what is the value of tanW ?

A. 44289
B. 44260
C. 44320
D. 44259
Answer» B. 44260
Discussion
1166.

ΔXYZ is right angled at Y. If cotX = 3/4, then what is the value of tanZ ?_x005F_x000D_

A. 44260
B. 44320
C. 44259
D. 44289
Answer» E.
Discussion
1167.

ΔPQR is right angled at Q. If m∠P = 60 deg, then find the value of (cotR + √3/2)._x005F_x000D_

A. 3√3/2_x005F_x000D_
B. 1+√3_x005F_x000D_
C. (2√2+1)/2_x005F_x000D_
D. (3√3+1)/6
Answer» B. 1+√3_x005F_x000D_
Discussion
1168.

ΔPQR is right angled at Q. If m∠R = 45°, then find the value of (tanP - 1/2).

A. (2-√3)/√3
B. (2√3-√6)/2√2
C. 44228
D. (√6-6)/3√3
Answer» D. (√6-6)/3√3
Discussion
1169.

ΔPQR is right angled at Q. If cosP = 5/13, then what is the value of cosecR ?

A. 44329
B. 44535
C. 41395
D. 44543
Answer» B. 44535
Discussion
1170.

ΔPQR is right angled at Q. If secP = 13/5, then what is the value of sinR ?

A. 41395
B. 44535
C. 44329
D. 44543
Answer» B. 44535
Discussion
1171.

ΔPQR is right angled at Q. If m∠P = 45°, then find the value of (cosecR + 1/3).

A. (√3+2)/2√3
B. (√3+2)/2
C. (3√2+1)/3
D. (2+2√3)/√3
Answer» D. (2+2√3)/√3
Discussion
1172.

ΔDEF is right angled at E. If m∠D = 45°, then find the value of (tanF + 1/3).

A. 44259
B. 3√3/2
C. (√2+1)/√2
D. (3√2+1)/3
Answer» B. 3√3/2
Discussion
1173.

ΔDEF is right angled at E. If m∠F = 30 deg, then find the value of (sinD - 1/3).

A. -1/2√3_x005F_x000D_
B. (3√3-2)/6_x005F_x000D_
C. (√2-√3)/√6_x005F_x000D_
D. (2√2-1)/√2
Answer» C. (√2-√3)/√6_x005F_x000D_
Discussion
1174.

ΔDEF is right angled at E. If secD = 25/7, then what is the value of cosecF ?

A. 45839
B. 44401
C. 44402
D. 45474
Answer» D. 45474
Discussion
1175.

ΔDEF is right angled at E. If sinD = 15/17, then what is the value of cotF ?_x005F_x000D_

A. 15/17
B. 42948
C. 44423
D. 17/15
Answer» D. 17/15
Discussion
1176.

ΔDEF is right angled at E. If m∠F = 30 deg, then find the value of (cosD - 1/√2)._x005F_x000D_

A. -1/2_x005F_x000D_
B. (√6-1)/√3_x005F_x000D_
C. (√2-2)/2√2_x005F_x000D_
D. √3-2
Answer» D. √3-2
Discussion
1177.

ΔDEF is right angled at E. If m∠D =300 , then find the value of (cosF + √3)._x005F_x000D_

A. 7/2√3
B. (1+2√3)/2
C. 4/√3
D. (√3+4)/2
Answer» C. 4/√3
Discussion
1178.

ΔDEF is right angled at E. If cosD = 8/17, then what is the value of secF ?

A. 44425
B. 42948
C. 17/15
D. 15/17
Answer» D. 15/17
Discussion
1179.

ΔDEF is right angled at E. If cosecD = 25/24, then what is the value of cosF ?_x005F_x000D_

A. 25/7_x005F_x000D_
B. 24/7_x005F_x000D_
C. 24/25_x005F_x000D_
D. 45474
Answer» D. 45474
Discussion
1180.

ΔABC is right angled at B. If m∠C = 60°, then find the value of (cotA - 1/2).

A.
B. (3-√2)/3√2
C. (2√3-1)/2
D. (√2-√3)/√6
Answer» D. (√2-√3)/√6
Discussion
1181.

ΔDEF is right angled at E. If cosecD = 5/4, then what is the value of cosecF?

A. 44260
B. 44289
C. 44320
D. 44259
Answer» B. 44289
Discussion
1182.

ΔABC is right angled at B. If m∠A = 45°, then find the value of (cosecC + 1/√3).

A. (3√2+1)/3
B. (2+√3)/2
C. 5/√3
D. (√6+1)/√3
Answer» E.
Discussion
1183.

ΔABC is right angled at B. If m ∠A = 60°, then what is the value of 1/√3 Cosec C?

A. 2/√3
B. 44257
C. √2/√3
D. √2/3
Answer» B. 44257
Discussion
1184.

ΔABC is right angled at B. If cotA = 8/15, then what is the value of cosC ?_x005F_x000D_

A. 15/8_x005F_x000D_
B. 8/17_x005F_x000D_
C. 17/15_x005F_x000D_
D. 15/17
Answer» E.
Discussion
1185.

ΔABC is right angled at B. If m∠A = 45 deg, then find the value of (tanC + √3/2).

A. 4/√3
B. (2+√3)/2
C. (√2+2)/2√2
D. (2+√3)/3
Answer» C. (√2+2)/2√2
Discussion
1186.

ΔABC is right angled at B. If m∠C = 45 deg, then find the value of (cosecA - √3)._x005F_x000D_

A. (4-√3)/2_x005F_x000D_
B. √2-√3_x005F_x000D_
C.
D. (√6-1)/√3
Answer» C.
Discussion
1187.

ΔABC is right angled at B. If cotA = 7/24, then what is the value of cosecC ?

A. 45839
B. 44402
C. 44401
D. 45474
Answer» C. 44401
Discussion
1188.

Δ PQR is right angled at Q. If m√R = 30°, then what is the value of Cot P?

A. 44228
B. 1/√2
C. 1/√3
D. 2
Answer» D. 2
Discussion
1189.

Δ XYZ is right angled at Y. If m∠Z = 60°, then what is the value of (1/√2) Sec X?

A. 2/√3
B. 1/√6
C. 1/√3
D. 2/√6
Answer» E.
Discussion
1190.

ΔABC and ΔDEF are two similar triangles and the perimeter of ΔABC and ΔDEF are 30 cm and 18 cm respectively. If length of DE = 36 cm, then length of AB is

A. 60 cm
B. 40 cm
C. 45 cm
D. 50 cm
Answer» B. 40 cm
Discussion
1191.

Δ XYZ is right angled at Y. If m∠Z = 60°, what is the length of YZ (in cm), if ZX = 3√3 cm?

A. 3√3/2
B. 3√3
C. 9
D. 6
Answer» B. 3√3
Discussion
1192.

Δ LMN is right angled at M. If m∠N = 60°, then Tan L =______.

A. 44228
B. 1/√3
C. 1/√2
D. 2
Answer» C. 1/√2
Discussion
1193.

Δ DEF is right angled at E. If m∠F = 45°, then what is the value of 2 Sin F x Cot F?

A. √2
B. 2
C. 1/√2
D. 44228
Answer» B. 2
Discussion
1194.

Δ LMN is right angled at M. If m∠N = 60 deg., then Tan L =______.

A. 44228
B. 1/√3
C. 1/√2
D. 2
Answer» C. 1/√2
Discussion
1195.

Δ DEF is right angled at E. If m∠F = 45, then what is the value of Sin F x Tan F?

A. √2
B. 1/√3
C. 1/√2
D. 2/√3
Answer» D. 2/√3
Discussion
1196.

Δ DEF is right angled at E. If m∠D = 45%., then Cosec F =

A. 44228
B. 1/√2
C. √2
D. 1/√3
Answer» D. 1/√3
Discussion
1197.

Δ DEF is right angled at E. If m∠D = 45°, then what is the value of cosecF X cotD?

A. 1/√2
B. 2
C. 44228
D. √2
Answer» E.
Discussion
1198.

Δ ABC is right angled at B. If m∠A = 60°, then what is the value of sec C.sin A?

A. 2/√3
B. √3/2
C. 44257
D. 1
Answer» E.
Discussion
1199.

Δ ABC is right angled at B. If m∠A = 60°, then what is the value of 2 Sec C x 1/2 Sin A?

A. 44228
B. 44256
C. 1
D. 1/√2
Answer» D. 1/√2
Discussion
1200.

α and β are the roots of quadratic equation. If α + β = 8 and α – β = 2√5, then which of the following equation will have roots α4 and β4?

A. x2 – 1522x + 14641 = 0
B. x2 + 1921x + 14641 = 0
C. x2– 1764x + 14641 = 0
D. x2+ 2520x + 14641 = 0
Answer» B. x2 + 1921x + 14641 = 0
Discussion