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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.
101. |
If the length and breadth of a rectangular plot be increased by 50% and 20% respectively, then how many times will its area be increased? |
A. | \(\frac{1}{3}\) |
B. | \(\frac{2}{3}\) |
C. | \(\frac{1}{5}\) |
D. | \(\frac{4}{5}\) |
Answer» E. | |
102. |
In a rectangle, length is three times its breadth. If the length and the breadth of the rectangle are increased by 30% and 10% respectively, then its perimeter increases by |
A. | \(\frac{{40}}{3}\%\) |
B. | 20% |
C. | 25% |
D. | 27% |
Answer» D. 27% | |
103. |
A medicine - capsule is in the shape of a cylinder of diameter 0.8 cm with two hemispheres stuck to each of its ends. The length of the entire capsule is 2 cm. What is the capacity (in cm3) of the capsule? (correct to two decimal places) (use \(\pi = \frac{22}{7}\)) |
A. | 0.91 |
B. | 0.75 |
C. | 0.87 |
D. | 0.67 |
Answer» D. 0.67 | |
104. |
If a point lies inside a circle, what will be the number of tangents drawn from that point to the circle? |
A. | 0 |
B. | 1 |
C. | 2 |
D. | infinitely many |
Answer» B. 1 | |
105. |
If each side of a square increases 3 times, then the area of the square increases by: |
A. | 12 times |
B. | 9 times |
C. | 3 times |
D. | 6 times |
Answer» C. 3 times | |
106. |
If the volume of a sphere is 792/7 cc. The radius of the sphere will be |
A. | 9 cm |
B. | 3 cm |
C. | 6 cm |
D. | 9/7 cm |
Answer» C. 6 cm | |
107. |
If the curved surface area of a cylinder is 440 cm2 and the height of the cylinder is 10 cm, then what is the radius (in cm) of the cylinder? |
A. | 7 |
B. | 14 |
C. | 21 |
D. | 3.5 |
Answer» B. 14 | |
108. |
A right circular cone of the largest volume is cut out from a solid wooden hemisphere. The remaining material is what percentage of the volume of the original hemisphere? |
A. | 50% |
B. | \(33\frac{1}{3}\%\) |
C. | 755 |
D. | \(66\frac{2}{3}\%\) |
Answer» B. \(33\frac{1}{3}\%\) | |
109. |
A right circular cylinder is formed. A = Sum of total surface area and the area of the two bases. B = Curved surface area of this cylinder. If A ∶ B = 3 ∶ 2 and the volume of cylinder is 4312 cm3, then what is the sum of area (in cm2) of the two bases of this cylinder? |
A. | 154 |
B. | 308 |
C. | 462 |
D. | 616 |
Answer» C. 462 | |
110. |
If each side of an equilateral triangle is 12 cm, then its altitude is equal to: |
A. | 6√2 cm |
B. | 3√2 cm |
C. | 6√3 cm |
D. | 3√6 cm |
Answer» D. 3√6 cm | |
111. |
A right circular cylinder has base circumference of 44 cm. If the height is double the radius, then the volume is _______. |
A. | 2156 litre |
B. | 215.6 litre |
C. | 2.156 litre |
D. | 0.2156 litre |
Answer» D. 0.2156 litre | |
112. |
A truck is loaded with sand 4 m long, 2 m wide and 1 m height. If the price of 1 cubic meter of sand is Rs. 1000, then the price of sand is: |
A. | Rs. 1000 |
B. | Rs. 2000 |
C. | Rs. 8000 |
D. | Rs. 4000 |
Answer» D. Rs. 4000 | |
113. |
A man was walked along the hypotenuse across a right-triangle plot. The other two sides measured 30 m and 40 m respectively. Approximately how much distance saved by not walking along the sides? (in m) |
A. | 20 |
B. | 16 |
C. | 12 |
D. | 14 |
Answer» B. 16 | |
114. |
A circular wire of length 168 cm is cut and bent in the form of a rectangle whose sides are in the ratio of 5 : 7. What is the length (in cm) of the diagonal of the rectangle? |
A. | √4127 |
B. | √3137 |
C. | √1813 |
D. | √3626 |
Answer» E. | |
115. |
In a temple there are 25 cylindrical pillars. The radius of each pillar is 28 cm and height 4 m. The total cost of painting the curved surface area of pillars at the rate of Rs. 8 per m2 is: |
A. | Rs. 1408 |
B. | Rs. 1760 |
C. | Rs. 1480 |
D. | Rs. 2520 |
Answer» B. Rs. 1760 | |
116. |
A rectangular field is 112 mt. long and 62 mt. broad. A cubical tank of edge 6 mt. is dug at each of the four corners of the field and the soil so removed is evenly spread on the remaining field. Find the rise in the level of the field. |
A. | 13.13 cm |
B. | 11.9 cm |
C. | 12.7 cm |
D. | 14.24 cm |
Answer» D. 14.24 cm | |
117. |
Find the curved surface area (in cm2) of a hemisphere of diameter 28 cm. |
A. | 1152 |
B. | 1024 |
C. | 956 |
D. | 1232 |
Answer» E. | |
118. |
In the given figure, ABCDEF is a regular hexagon whose side is 12 cm. Longest diagonal of the regular hexagon is double the side of it. What is the shaded area (in cm2)? |
A. | 54√3 |
B. | 36√3 |
C. | 48√3 |
D. | 52√3 |
Answer» B. 36√3 | |
119. |
A circus tent is cylindrical to a height of 3 meters and conical above it. If the radius of the base is 52.5 m and the slant height of the cone is 52 m, then the total area of the canvas required to make it is: |
A. | 3048π |
B. | 3045π |
C. | 2730π |
D. | 2842π |
Answer» C. 2730π | |
120. |
A solid metallic right circular cylinder of base diameter 16 cm and height 2 cm is melted and recast into a right circular cone of height three-times that of the cylinder. The curved surface area of the cone will be: (Use π - 3.14) |
A. | 254.8 cm2 |
B. | 251.2 cm2 |
C. | 250.4 cm2 |
D. | 248.6 cm2 |
Answer» C. 250.4 cm2 | |
121. |
If the ratio of the volumes of two cylinders is 4 : 1 and the ratio of their heights is 1 : 4, then what is the ratio of their radii? |
A. | 2 : 1 |
B. | 8 : 1 |
C. | 4 : 1 |
D. | 16 : 1 |
Answer» D. 16 : 1 | |
122. |
If the radius of a right circular cone is decreased by 10% and its height is increased by 40%, then by what percent does its volume increase or decrease? |
A. | Decreases by 13.4% |
B. | Decreases by 1.34% |
C. | Increases by 1.34% |
D. | Increases by 13.4% |
Answer» E. | |
123. |
If the wheel of a bicycle makes 160 revolutions in travelling 1.8 km, then what is its radius (in m)? |
A. | 4.5/4π |
B. | 15/8π |
C. | 45/4π |
D. | 45/8π |
Answer» E. | |
124. |
In a circle with centre O, AB is the diameter and CD is a chord such that ABCD is a trapezium. If ∠BAC = 28°, then ∠CAD is equal to: |
A. | 24 |
B. | 34 |
C. | 36 |
D. | 48 |
Answer» C. 36 | |
125. |
Four cubes, each of edge 5 cm are joined end to end. What is the total surface area of the resulting cuboid? |
A. | 450 cm2 |
B. | 500 cm2 |
C. | 600 cm2 |
D. | 475 cm2 |
Answer» B. 500 cm2 | |
126. |
A metal solid cube of edge 24 cm is melted and made into three small cubes. If the edges of two small cubes are 12 cm and 16 cm, then what is the surface area of the third small cube? |
A. | 1200 cm2 |
B. | 1800 cm2 |
C. | 2400 cm2 |
D. | 3600 cm2 |
Answer» D. 3600 cm2 | |
127. |
A sphere is placed in a cube so that it touches all the faces of the cube. If 'a' is the ratio of the volume of the cube to the volume of the sphere, and 'b' is the ratio of the surface area of the sphere to the surface area of the cube, then the value of ab is: |
A. | \(\frac{36}{\pi^2}\) |
B. | \(\frac{\pi^2}{36}\) |
C. | 1 |
D. | 4 |
Answer» D. 4 | |
128. |
Find out the volume of the cone (in cubic cm) whose area of base is 154 sq cm and the height 12 cm? |
A. | 166 cm3 |
B. | 616 cm3 |
C. | 170 cm3 |
D. | 661 cm3 |
Answer» C. 170 cm3 | |
129. |
A cube of 384 cm2 surface area is cut into smaller cubes of surface area 6 cm2. How many cubes would be there? |
A. | 64 |
B. | 128 |
C. | 256 |
D. | 512 |
Answer» E. | |
130. |
Arrange the angles of the triangle from the smallest to the largest in the triangle, where the sides are AB = 7 cm, AC = 8 cm, BC = 9 cm. |
A. | C, B, A |
B. | B, A, C |
C. | C, B, D |
D. | A, B, C |
Answer» B. B, A, C | |
131. |
A hemispherical metallic solid is melted and recast into a cone of equal radius 'R'. If the height of the cone is H, then: |
A. | H = R/3 |
B. | H = 2R |
C. | H = R |
D. | H = R/2 |
Answer» C. H = R | |
132. |
A solid cube is cut into three cuboids of same volumes. What is the ratio of the surface area of the cube to the sum of the surface areas of any two of the cuboids so formed? |
A. | 9 : 10 |
B. | 27 : 16 |
C. | 27 : 10 |
D. | 9 : 8 |
Answer» B. 27 : 16 | |
133. |
A right triangle with sides 5 cm, 12 cm and 13 cm is rotated about the side 12 cm to form a cone. The volume of the cone so formed is: |
A. | 81π cm3 |
B. | 100π cm3 |
C. | 91π cm3 |
D. | 110π cm3 |
Answer» C. 91π cm3 | |
134. |
A square playground of 900 m2 is surrounded by a walkway of constant width. The total area of the walkway is 700 m2. Find the width of the walkway. |
A. | 4 m |
B. | 5 m |
C. | 3 m |
D. | 10 m |
Answer» C. 3 m | |
135. |
If the ratio of lengths of sides of two squares are 2 : 3, then the ratio of their areas is: |
A. | 16 : 81 |
B. | 4 : 5 |
C. | 2 : 3 |
D. | 4 : 9 |
Answer» E. | |
136. |
A circle of 3 m radius is divided into three areas by semicircles of radii 1 m and 2 m as shown in the figure below. The ratio of three areas A, B and C will be |
A. | 2 : 3 : 2 |
B. | 1 : 1 : 1 |
C. | 4 : 3 : 4 |
D. | 1 : 2 : 1 |
Answer» C. 4 : 3 : 4 | |
137. |
A hollow metal sphere is of outer radius 5 m and thickness 20 cm. What is the approximate volume of metal required to make the sphere? |
A. | 60.38 m3 |
B. | 55 m3 |
C. | 61 m3 |
D. | 58 m3 |
Answer» B. 55 m3 | |
138. |
If the perimeter of a square is 44 cm, then what is the diagonal (in cm) of the square? |
A. | 11√2 |
B. | 2√11 |
C. | 11 |
D. | 44√2 |
Answer» B. 2√11 | |
139. |
Find the total surface area of cube whose volume is 64 m3. |
A. | 64 m2 |
B. | 96 m2 |
C. | 36 m2 |
D. | 25 m2 |
Answer» C. 36 m2 | |
140. |
A cylindrical vessel with radius 6 cm and height 5 cm is to be made by melting a number of spherical metal balls of diameter 2 cm. The minimum number of balls needed is: |
A. | 115 |
B. | 105 |
C. | 135 |
D. | 125 |
Answer» D. 125 | |
141. |
A parallelogram PQRS, the length of whose sides are 8cm and 12 cm, has one diagonal 10 cm long. The length of the other diagonal is approximately: |
A. | 17.8 cm |
B. | 17.5 cm |
C. | 17 cm |
D. | 18 cm |
Answer» B. 17.5 cm | |
142. |
5 cubes, each of edge 4 cm, are joined end to end. What is the total surface area of the resulting cuboid? |
A. | 352 cm2 |
B. | 486 cm2 |
C. | 720 cm2 |
D. | 526 cm2 |
Answer» B. 486 cm2 | |
143. |
In the given figure, PQRS is a square whose side is 8 cm. PQS and QPR are two quadrants. A circle is placed touching both the quadrants and the square as shown in the figure. What is the area (in cm2) of the circle? |
A. | 13/17 |
B. | 11/14 |
C. | 19/31 |
D. | 15/19 |
Answer» C. 19/31 | |
144. |
A wire was in the form of a circle of diameter 63 cm. From this wire, a rectangle is drawn where the length and width are in the ratio of 7 : 4: What will be the area of this rectangle (in cm2)? \(\left ( \pi = \dfrac{22}{7}\right)\) |
A. | 1988 |
B. | 2240 |
C. | 2187 |
D. | 2268 |
Answer» E. | |
145. |
A solid metal sphere has radius 14 cm. It is melted to form small cones of radius 1.75 cm and height 3.5 cm. How many small cones will be obtained from the sphere? |
A. | 512 |
B. | 256 |
C. | 1024 |
D. | 2048 |
Answer» D. 2048 | |
146. |
If side of a square is increased by 60%, then what will be the percentage increase in its area? |
A. | 156 |
B. | 120 |
C. | 126 |
D. | 132 |
Answer» B. 120 | |
147. |
If a carpenter increases each edge of a square wooden piece from 42 cm to 45 cm, the cost of wood is increased by ₹ 783. What is the rate of wood per sq. cm? |
A. | ₹3 |
B. | ₹4 |
C. | ₹4.5 |
D. | ₹5 |
Answer» B. ₹4 | |
148. |
If the surface area of a sphere is 1386 cm2, then its volume is:(Take π = \(\frac {22} 7\)) |
A. | 5418 cm3 |
B. | 8451 cm3 |
C. | 4851 cm3 |
D. | 4581 cm3 |
Answer» D. 4581 cm3 | |
149. |
A metallic sphere of diameter 40 cm is melted into smaller spheres of radius 0.5 cm. How many such small balls can be made? |
A. | 64,000 |
B. | 6400 |
C. | 3200 |
D. | 32,000 |
Answer» B. 6400 | |
150. |
A wheel makes 1000 revolutions in covering a distance 88 km. The radius of the wheel is |
A. | 7 m |
B. | 12 m |
C. | 14 m |
D. | None of the above |
Answer» D. None of the above | |