Explore topic-wise MCQs in Quantitative Aptitude.

This section includes 1292 Mcqs, each offering curated multiple-choice questions to sharpen your Quantitative Aptitude knowledge and support exam preparation. Choose a topic below to get started.

1151.

In a rectangular field of length 50 m and breadth of 5 m, a square area of size 20 m2 was marked from the corner. What is the total area of the field other than the marked area?

A. 40 m2
B. 400 m2
C. 250 m2
D. 230 m2
Answer» E.
1152.

N solid metallic spherical balls are melted and recast into a cylindrical rod whose radius is 3 times that of a spherical ball and height is 4 times the radius of a spherical ball. The value of N is:

A. 30
B. 24
C. 36
D. 27
Answer» E.
1153.

If the diagonal of a square is increased by 10%, then the area of the square is increased by

A. 10%
B. 21%
C. 100%
D. 10.5%
Answer» C. 100%
1154.

If the area of a square is decreased by 19%, then the diagonal of the square is decreased by:

A. 15%
B. 5%
C. 10%
D. 12%
Answer» D. 12%
1155.

If ΔABC ≅ ΔEFG and AB = EF, then the values of x and y are -

A. x = 1, y = 1
B. x = 4, y = 1
C. x = 1, y = 4
D. x = 1, y = 3
Answer» D. x = 1, y = 3
1156.

ABC is triangle. AB = 10 cm and BC = 16 cm. AD = 8 cm and is perpendicular to side BC. What is the length (in cm) of side AC?

A. 4√41
B. 2√41
C. 2√82
D. 4√82
Answer» C. 2√82
1157.

A tent has been constructed which is in the form of a right circular cylinder surmounted by a right circular cone whose axis coincides with the axis of the cylinder. If the radius of the base is 50 m, the height of the cylinder is 10 m and the total height of the tent is 15 m, then what is the capacity of the tent in cubic meters?

A. 37500π
B. 87500π/3
C. 26500π/3
D. 25000π
Answer» C. 26500π/3
1158.

A wire is in the shape of a rectangle whose sides are in the ratio 7 : 4. It was initially in the shape of a circle of radius, very nearly equal to 31.5 cm. The length of smaller side of the rectangle is:Take π = 22/7

A. 44 cm
B. 36 cm
C. 40 cm
D. 32 cm
Answer» C. 40 cm
1159.

A well with 14m inside diameter in dugout 15m. The earth taken out of it has been evenly spread all around it to a width of 21m to form an embankment. What is the height of the embankment?

A. 1m
B. 2m
C. 3m
D. 4m
Answer» B. 2m
1160.

A solid brass sphere of radius 15 cm is drawn into a wire of diameter 6 mm. The length (in cm) of the wire is:

A. 60000
B. 55000
C. 45000
D. 50000
Answer» E.
1161.

If the edge of a cube is increased by 4 cm, the volume will increase by 988 cm3. Then what is the original length of each edge of the cube?

A. 8 cm
B. 6 cm
C. 7 cm
D. 9 cm
Answer» D. 9 cm
1162.

If the height of a right circular cylinder is 10 cm and the curved surface area is 440 cm2, then what is its radius?

A. 10.5 cm
B. 7 cm
C. 14 cm
D. 17.5 cm
Answer» C. 14 cm
1163.

If each edge of a cube is doubled, then the percentage increase in its total surface area is

A. 300%
B. 200%
C. 150%
D. 600%
Answer» B. 200%
1164.

A 15 m deep well with radius 2.8 m is dug and the earth taken out from it is spread evenly to form a platform of breadth 8 m and height 1.5 m. What will be the length of the platform? (Take π = 22/7)

A. 30.2 m
B. 30.8 m
C. 28.8 m
D. 28.4 m
Answer» C. 28.8 m
1165.

A rectangular portion of an airport runway was getting repaired for which an estimate was made on the basis of a rate Rs. Per square unit. But while doing the work, the length of the portion got increased by 10% and the breadth by 8%. Over and above this, there was an increase in the cost of the repair work to the extent of 15%. What was the overall percentage increase in the cost of repair over the estimate?

A. 36.62
B. 34.58
C. 33
D. 35.24
Answer» B. 34.58
1166.

Find the volume (in cm3) of a hemisphere of diameter 14 cm.

A. 512.33
B. 718.67
C. 628
D. 826
Answer» C. 628
1167.

If the side of a cube is 12 cm, then what is the volume (in cm3) of the cube?

A. 144
B. 1728
C. 864
D. 432
Answer» C. 864
1168.

How many cubic blocks of wood of side 20 cm can be cut from a block of wood having dimensions of 2m, 80 cm, and 40 cm?

A. 50
B. 100
C. 80
D. 60
Answer» D. 60
1169.

In the given figure, ABCDEF is a regular hexagon of side 12 cm, P, Q and R are the mid points of the sides AB, CD and EF respectively. What is the area (in cm2) of triangle PQR?

A. 27√6
B. 81√3
C. 54√3
D. 54√6
Answer» C. 54√3
1170.

For a cylinder of base radius (= r) and height (= h), the volume is ______ cu. units.

A. π r3 h
B. π rh
C. 2 π rh
D. π r2h
Answer» E.
1171.

Each side of a cube is 8 units. It is cut into cubes each of side 4 unit. The total surface area of all the smaller cubes thus obtained is :

A. 560 square units
B. 456 square units
C. 768 square units
D. 372 square units
Answer» D. 372 square units
1172.

A right triangular pyramid XYZB is cut from cube as shown in figure. The side of cube is 16 cm. X, Y and Z are mid points of the edges of the cube. What is the total surface area (in cm2) of the pyramid?

A. 48[√3 + 1]
B. 24[4 + √3]
C. 28[6 + √3]
D. 32[3 + √3]
Answer» E.
1173.

In a ΔABC, the sides are AB = 16 cm, AC = 63 cm, BC = 65 cm. From A, a straight line AM is drawn up to the midpoint M of side BC. Then the length of AM is equal to∶

A. 31.5 cm
B. 32.5 cm
C. 24.5 cm
D. 23.5 cm
Answer» C. 24.5 cm
1174.

A rectangular water tank is 80 m × 40 m. Water flows into it through a pipe of 40 sq. cm at the opening at a speed of 10 km/hr. The water level will rise in the tank in half an hour is

A. 3/2 cm
B. 4/9 cm
C. 5/9 cm
D. 5/8 cm
Answer» E.
1175.

A field roller, in the shape of a cylinder, has a diameter of 1 m and length of \(1\frac{1}{4}\) m.If the speed at which the roller rolls is 14 revolutions per minute, then the maximum area (in m2) that it can roll in 1 hour is: (Take π = 22/7)

A. 3960
B. 3560
C. 3300
D. 3600
Answer» D. 3600
1176.

A wall of 36 metre long, 32 metre wide and 28 meter high is made up of (1 × 2 × 3) m3 bricks. If a window occupies 1/8th of the volume of the wall, find the number of bricks?

A. 4605
B. 4704
C. 4830
D. 4250
Answer» C. 4830
1177.

A pyramid has a square base. The side of square is 12 cm and height of pyramid is 21 cm. The pyramid is cut into 3 parts by 2 cuts parallel to its base. The cuts are at height of 7 cm and 14 cm respectively from the base. What is the difference (in cm3) in the volume of top most and bottom most part?

A. 872
B. 944
C. 672
D. 918
Answer» D. 918
1178.

A race track is in the shape of a ring whose inner and outer circumferences are 440 m and 506 m, respectively. What is the cost of levelling the track at Rs 6/m2?(take π = 22/7)

A. Rs. 29,799
B. Rs. 19,866
C. Rs. 18,966
D. Rs. 24,832
Answer» B. Rs. 19,866
1179.

A copper wire when bent in the form of a square encloses an area of 121 cm2. If the same wire is bent in the form of a circle, find the area of the circle. (Use π = 22/7)

A. 154 cm2
B. 153 cm2
C. 155 cm2
D. 150 cm2
Answer» B. 153 cm2
1180.

8 cubes, each of edge 5 cm, are joined end to end. What is the total surface area of the resulting cuboid?

A. 850 cm2
B. 825 cm2
C. 1200 cm2
D. 800 cm2
Answer» B. 825 cm2
1181.

If a square of side x and equilateral triangle of side y are inscribed in a circle, then what is the ratio of x to y?

A. \(\sqrt {\frac{2}{3}} \)
B. \(\sqrt {\frac{3}{2}} \)
C. \(\frac{3}{{\sqrt {2\;} }}\)
D. \(\frac{{\sqrt 2 }}{3}\)
Answer» B. \(\sqrt {\frac{3}{2}} \)
1182.

A metallic slab having dimensions 35 cm × 11 cm × 20 cm is melted and recasted in the shape of a wire of radius 0.7 mm. What is the length of the wire (in m)? (Use π = \(\dfrac{22}{7}\))

A. 1590 m
B. 110 m
C. 500 m
D. 5000 m
Answer» E.
1183.

A solid metallic cube of side 9 cm and a solid metallic cuboid having dimensions 5 cm, 13 cm, 31 cm are melted to from a single cube. How much (in Rs.) is the cost to polish the new cube at a rate of Rs. 10 per cm2?

A. 8,650
B. 11,760
C. 13,620
D. 27,440
Answer» C. 13,620
1184.

If the diagonal of a cube is of length l, then the total surface area of the cube is

A. 3 l2
B. \(\sqrt 3 \;{l^2}\)
C. \(\sqrt 2 \;{l^2}\)
D. 2 l2
Answer» E.
1185.

In ΔABC, ∠C = 90°; D is the midpoint of BC, and DE ⊥ AB at E. If AB = 13 cm and BE = 5 cm, then the area of the square drawn on BC is equal to:

A. 130 cm2
B. 100 cm2
C. 120 cm2
D. 125 cm2
Answer» B. 100 cm2
1186.

Original breadth of a rectangular box is 20 cm. The box was then remade in such a way that its length increased by 30% but the breadth decreased by 20% and the area increased by 100 cm2. What is the new area of the box?

A. 2500 cm2
B. 2200 cm2
C. 2600 cm2
D. 2400 cm2
Answer» D. 2400 cm2
1187.

Perimeter of an isosceles triangle is 32 cm. The base is 6/5 times the equal side. What is the area?

A. 39 cm2
B. 57 cm2
C. 48 cm2
D. 64 cm2
Answer» D. 64 cm2
1188.

If the volumes of two cylinders having the same height are in the ratio 25 : 49, then the ratio of their radii is:

A. 5 : 7
B. 7 : 5
C. 25 : 49
D. 49 : 25
Answer» B. 7 : 5
1189.

A right circular cylinder has height 28 cm and radius of base 14 cm. One hemisphere of radius 7 cm is cut from each of the two bases of the cylinder. What is the total surface area (in cm2) of the remaining part?

A. 3842
B. 4004
C. 3296
D. 4436
Answer» C. 3296
1190.

Area of triangle having sides a , b & c is given by √{S (S-a) (S-b) (S-c)} where ‘S’ is equal to _______

A. a + b + c
B. a × b × c
C. 1/3(a + b + c)
D. ½ (a + b + c)
Answer» E.
1191.

If each side of a square is increased by 50%, the ratio of the area of the resulting square to that of the given square is

A. 4 ∶ 5
B. 5 ∶ 4
C. 4 ∶ 9
D. 9 ∶ 4
Answer» E.
1192.

If the diameter of a circle increases by 15%, then what will be the percentage increase in its area?

A. 35.755%
B. 30.3%
C. 25%
D. 32.25%
Answer» E.
1193.

Find the lateral surface area of a cuboid. Whose dimensions are:Length. = 22 cm, width. = 12 cm, height = 7.5 cm

A. 511 cm2
B. 510 cm2
C. 512 cm2
D. 513 cm2
Answer» C. 512 cm2
1194.

If diagonals of a rhombus are 16 cm and 30 cm. then what is the perimeter (in cm) of the rhombus?

A. 32
B. 64
C. 34
D. 68
Answer» E.
1195.

If the lengths of the two parallel sides of a trapezium are 5 cm and 7 cm and the distance between these parallel sides is 4 cm. Find its area (in cm2).

A. 12
B. 24
C. 48
D. 36
Answer» C. 48
1196.

Find the volume of a cylinder with radius as 7 cm and height as 10 cm. (The value of π is 22/7)

A. 1800 cm3
B. 1540 cm3
C. 1000 cm3
D. 512 cm3
Answer» C. 1000 cm3
1197.

If the three sides of a triangle are 11 cm, 12 cm and 13 cm, then what is the area of the given triangle (in cm2)?

A. \(13\sqrt 26\)
B. \(17\sqrt 42\)
C. \(15\sqrt 13\)
D. \(6\sqrt {105}\)
Answer» E.
1198.

40 men took a dip in a pool 30 m long and 25 m broad. If the average water displaced by a man is 5m3, then what will be the rise (in cm) in level of the pool?

A. 25
B. 26.66
C. 27.33
D. 28
Answer» C. 27.33
1199.

A box 1 m long, 50 cm broad and 25 cm high is filled with packets each 5 cm by 4 cm by 2 cm. The number of packets in the box is

A. 32
B. 312
C. 3125
D. 315
Answer» D. 315
1200.

A sphere of radius 6 cm is melted and recast into spheres of radius 2 cm each. How many such spheres can be made?

A. 36
B. 27
C. 24
D. 25
Answer» C. 24