Explore topic-wise MCQs in Arithmetic Ability.

This section includes 804 Mcqs, each offering curated multiple-choice questions to sharpen your Arithmetic Ability knowledge and support exam preparation. Choose a topic below to get started.

301.

An angle is smaller than its supplementary by 30°. What is the measure of the angle?

A. 75°
B. 105°
C. 60°
D. 30°
Answer» B. 105°
Discussion
302.

An equilateral triangle ABC is inscribed in a circle of radius 20√3. The centroid of the triangle ABC is at a distance d from the vertex A. What is d equal to ?

A. 15 cm
B. 20 cm
C. 20√3 cm
D. 30√3 cm
Answer» D. 30√3 cm
Discussion
303.

An equilateral triangle ABC is inscribed in a circle of radius 20√3. What is the length of the side of the triangle?

A. 30 cm
B. 40 cm
C. 50 cm
D. 60 cm
Answer» E.
Discussion
304.

An equilateral triangle of area 300 cm2 is cut from its three vertices to form a regular hexagon. Area of hexagon is what percent of the area of triangle?

A. 0.6666
B. 0.3333
C. 0.8333
D. 0.5641
Answer» B. 0.3333
Discussion
305.

An inverted conical shaped vessel is filled with water to its brim. The height of the vessel is 8 cm and radius of the open end is 5 cm . When a few solid spherical metallic balls each of radius 1⁄2 cm are dropped in the vessel , 25% water is overflowed. The number of balls is:

A. 100
B. 400
C. 200
D. 150
Answer» B. 400
Discussion
306.

At least one diagonal bisects the other in a _____.

A. Trapezium
B. Isosceles trapezium
C. Kite
D. Cyclic quadrilateral
Answer» D. Cyclic quadrilateral
Discussion
307.

At what point does the line 3x + y = -6 intercept the x-axis?

A. (2,0)
B. (-2,0)
C. (0,-6)
D. (0,6)
Answer» C. (0,-6)
Discussion
308.

Analyze the figure shown below in which DE || BC and the other dimensions are as follows: AD=3 cm, BD=4 cm, AE=4.4 cm and DE=6 cm. Calculate the length (in cm) of BC.

A. 6
B. 8
C. 12
D. 14
Answer» E.
Discussion
309.

At least two pairs of consecutive angles are congruent in a _____.

A. Parallelogram
B. Isosceles trapezium
C. Rhombus
D. Kite
Answer» C. Rhombus
Discussion
310.

BD and CE are two medians of the triangle ABC. If EO = 7 cm, then the length of CE is_x005F_x000D_

A. 28 cm
B. 14 cm
C. 21 cm
D. 35 cm
Answer» D. 35 cm
Discussion
311.

BE and CF are two altitudes of a triangle ABC. If AB = 6 cm , AC = 5 cm and CF = 4 cm , then the length of BE is

A. 4.8 cm
B. 7.5 cm
C. 3.33 cm
D. 5.5 cm
Answer» B. 7.5 cm
Discussion
312.

Calculate the length (in cm) of PQ, if the radius of the circle is 7 cm and the line through the centre O meets the tangent at point Q such that OP = 25 cm._x005F_x000D_

A. 20
B. 22
C. 24
D. 26
Answer» D. 26
Discussion
313.

Calculate the length of the tangent (in cm) which is drawn from a point at a distance of 13 cm from the centre and the largest chord of that circle is 10 cm.

A. 10
B. 12
C. 15
D. 16
Answer» C. 15
Discussion
314.

Calculate the number of bricks, each measuring 25 cm x 15 cm x 8 cm required to construct a wall of dimensions 10 m x 4 m x 5 m when 10% of its volume is occupied by concrete ?

A. 6000
B. 5400
C. 3800
D. 4700
Answer» B. 5400
Discussion
315.

Choose the correct option for the figure shown below._x005F_x000D_ _x005F_x000D_

A. ∡AOP =∡AOQ
B. ∡OAP = ∡OQA
C. AO=OQ
D. AP=AO
Answer» B. ∡OAP = ∡OQA
Discussion
316.

Choose the correct option for the figure shown below._x005F_x000D_

A. AD = AF
B. BD = BE
C. CE = FC
D. All option are correct
Answer» E.
Discussion
317.

Choose the correct option for the following figure.

A. AB=BD
B. AC=CD
C. BC=AB
D. AD
Answer» C. BC=AB
Discussion
318.

Consider the following figure shown below and choose which of the following equation is correct about the similarity of both triangles?_x005F_x000D_ _x005F_x000D_

A. 1
B. 2
C. 3
D. 4
Answer» C. 3
Discussion
319.

Consider the following inequalities in respect of any triangle ABC:_x005F_x000D_ 1) AC –AB < BC_x005F_x000D_ 2) BC –AC < AB_x005F_x000D_ 3) AB –BC < AC_x005F_x000D_ Which of the above are correct?

A. 1 and 2 only
B. 2 and 2 only
C. 1 and 3 only
D. 1, 2 and 3
Answer» E.
Discussion
320.

Consider the following statements:_x005F_x000D_ 1) An isosceles trapezium is always cyclic._x005F_x000D_ 2) Any cyclic parallelogram is a rectangle._x005F_x000D_ Which of the above statements is/are correct?

A. 1 only
B. 2 only
C. Both 1 and 2
D. Neither 1 nor 2
Answer» D. Neither 1 nor 2
Discussion
321.

Consider the following statements:_x005F_x000D_ 1) The perimeter of a triangle is greater than the sum of its three medinas._x005F_x000D_ 2) In any triangle ABC, if D is any point on BC, then AB + BC + CA > 2AD._x005F_x000D_ Which of the above statements is/are correct?

A. 1 only
B. 2 only
C. Both 1 and 2
D. Neither 1 nor 2
Answer» D. Neither 1 nor 2
Discussion
322.

Consider the following statements:_x005F_x000D_ 1) The number of circles that can be drawn through three non-collinear points is infinity._x005F_x000D_ 2) Angle formed in minor segment of a circle is acute._x005F_x000D_ Which of the above statements is/are correct?

A. 1 only
B. 2 only
C. Both 1 and 2
D. Neither 1 nor 2
Answer» E.
Discussion
323.

Consider the following two triangles as shown in the figure below._x005F_x000D_ _x005F_x000D_ Choose the correct statement for the above situation._x005F_x000D_

A. 1
B. 2
C. 3
D. 4
Answer» C. 3
Discussion
324.

Curved surface area of a cylinder is 1232 sq cm. If circumference of its base is 154 cm, then what will be the height of the cylinder? (Take π = 22/7)

A. 16 cm
B. 4 cm
C. 8 cm
D. 12 cm
Answer» D. 12 cm
Discussion
325.

Curved surface area of a cylinder is 440 sq cm. If circumference of its base is 44 cm, what is the volume of the cylinder? (Take π = 22/7)

A. 1540 cubic cm
B. 3080 cubic cm
C. 770 cubic cm
D. 2310 cubic cm
Answer» B. 3080 cubic cm
Discussion
326.

Curved surface area of a cylinder is 660 sq cm. If circumference of its base is 44 cm, find the volume of the cylinder?

A. 4620 cubic cm
B. 2310 cubic cm
C. 6930 cubic cm
D. 1155 cubic cm
Answer» C. 6930 cubic cm
Discussion
327.

Curved surface area of a cylinder is 528 sq cm. If circumference of its base is 44 cm, find the height of the cylinder?

A. 12 cm
B. 24 cm
C. 36 cm
D. 6 cm
Answer» B. 24 cm
Discussion
328.

Considering two opposite vertices of a square of side ‘a’ as centres, two circular arcs are drawn within the square joining the other two vertices, thus forming two sectors. What is the common area in these two sectors?

A. a2Ï€+12
B. a
C. a2Ï€2-1
D. πa/2
Answer» D. Ï€a/2
Discussion
329.

Curved surface area of Cone P is seven times the curved surface area of Cone Q. Slant height of Cone Q is seven times the slant height of Cone P. What will be the ratio of the area of the base of Cone P to the area of the base of Cone Q?_x005F_x000D_

A. 100.04236111111
B. 14.292361111111
C. 2.0423611111111
D. 0.29236111111111
Answer» B. 14.292361111111
Discussion
330.

D and E are points on side AB and AC of ΔABC. DE is parallel to BC. If AD:DB = 2:3, what is the ratio of area of ΔADE and area of quadrilateral BDEC?

A. 0.18125
B. 0.18402777777778
C. 0.18680555555556
D. 0.17291666666667
Answer» B. 0.18402777777778
Discussion
331.

D and E are points on side AB and AC of ΔABC. DE is parallel to BC. If AD:DB = 1:2 and area of ΔABC is 45 sq cm, what is the area (in sq cm) of quadrilateral BDEC?

A. 20
B. 40
C. 15
D. 30
Answer» C. 15
Discussion
332.

D and E are points on side AB and AC of ΔABC. DE is parallel to BC. If AD:DB = 2:5 and area of ΔADE is 8 sq cm, what is the ratio of area of ΔADE: area of quadrilateral BDEC?

A. (4:45)
B. (45:4)
C. (8:45)
D. (45:8)
Answer» B. (45:4)
Discussion
333.

D, E, F are the mid - points of the sides BC , CA and AB respectively of a ΔABC . Then the ratio of the areas of ΔDEF and ΔABC is

A. 44228
B. 44287
C. 44409
D. 42370
Answer» C. 44409
Discussion
334.

Diameter of wheel of a cycle is 21 cm. The cyclist takes 45 minutes to reach a destination at a speed of 16.5 km/hr. How many revolutions will the wheel make during the journey?

A. 12325
B. 18750
C. 21000
D. 24350
Answer» C. 21000
Discussion
335.

Due to increase of k% in the side, the area of a square increases by 69%. What is the value of k?

A. 30
B. 33
C. 34.5
D. 35
Answer» B. 33
Discussion
336.

Dodecahedron has 30 edges. How many vertices does it have?

A. 12
B. 16
C. 20
D. 10
Answer» D. 10
Discussion
337.

Find the surface area (in cm2) of a sphere of diameter 28 cm._x005F_x000D_

A. 3422_x005F_x000D_
B. 3852_x005F_x000D_
C. 2464_x005F_x000D_
D. 3550
Answer» D. 3550
Discussion
338.

Find the area and circumference of a circle if the radius is 14 cm. (Take pi = 22/7)_x005F_x000D_

A. Area = 44 sq.cm; circumference = 308 cm
B. Area = 616 sq.cm; circumference = 88 cm
C. Area = 88 sq.cm; circumference = 616 cm
D. Area = 308 sq.cm; circumference = 44 cm
Answer» C. Area = 88 sq.cm; circumference = 616 cm
Discussion
339.

Find the area of a square, one of whose diagonals is 3.8 m long.

A. 4.22 sq.m
B. 5.22 sq.m
C. 6.22 sq.m
D. 7.22 sq.m
Answer» E.
Discussion
340.

Find the circumference (in cm) of a circle of radius 17.5 cm.

A. 140
B. 110
C. 38
D. 76
Answer» C. 38
Discussion
341.

Find the curved surface area (in cm2) of a hemisphere of diameter 7 cm.

A. 88
B. 55
C. 77
D. 66
Answer» D. 66
Discussion
342.

Find the curved surface area (in cm2) of a right circular cylinder of diameter 28 cm and height 12 cm.

A. 968
B. 924
C. 856
D. 1056
Answer» E.
Discussion
343.

Find the curved surface area (in cm2) of a right circular cylinder of diameter 21 cm and height 10 cm._x005F_x000D_

A. 594_x005F_x000D_
B. 530_x005F_x000D_
C. 472_x005F_x000D_
D. 660
Answer» E.
Discussion
344.

Find the height of a cuboid whose volume is 330 cm2and base area is 15cm2 ._x005F_x000D_

A. 21 cm
B. 24 cm
C. 22 cm
D. 19 cm
Answer» D. 19 cm
Discussion
345.

Find the curved surface area (in cm2) of a right circular cylinder of diameter 7 cm and height 6 cm.

A. 132
B. 110
C. 92
D. 154
Answer» B. 110
Discussion
346.

Find the in-radius (in cm) of an equilateral triangle whose sides are 6 cm each.

A. √3
B. 2√3
C. 3√3
D. 4√3
Answer» B. 2√3
Discussion
347.

Find the length of the longest pole that can be placed in a room 12 m long 8m broad and 9m high.

A. 14m
B. 15m
C. 16m
D. 17m
Answer» E.
Discussion
348.

Find the length of a transverse common tangent of the two circles whose radii are 3.5 cm, 4.5 cm and the distance between their centres is 10 cm.

A. 6 cm
B. 8 cm
C. 6.4 cm
D. 3.6 cm
Answer» B. 8 cm
Discussion
349.

Find the  surface area of a cuboid 16 m long, 14 m broad and 7 m high

A. 868 sq.cm
B. 920 sq.cm
C. 727 sq.cm
D. 900 sq.cm
Answer» B. 920 sq.cm
Discussion
350.

Find the number of bricks, each measuring 24 cm x 12 cm x 8 cm, required to construct a wall 24 m long, 8m high and 60 cm thick, if 10% of the wall is filled with mortar?

A. 35000
B. 45000
C. 55000
D. 65000
Answer» C. 55000
Discussion