Quantitative Aptitude
32 questions across 10 exam years. Answers for this topic
The sum of the dimensions of a room (i.e. length, breadth and height) is 18 m and its length, breadth and height are in the ratio of 3 : 2 : 1 respectively. If the room is to be painted at the rate of ₹ 15 per m², what would be the total cost incurred on painting only the four walls of the room (in ₹) ?
The sum of the dimensions of a room (i.e. length, breadth and height) is 24 m and its length, breadth and height are in the ratio of 8 : 7 : 5 respectively. If the room to be painted at the rate of ₹ 12 per m², what would be the total cost incurred on painting only the four walls of the room (in ₹) ?
Ratio between curved surface area and total surface area of a circular cylinder is 3 : 5. If curved surface area is 1848 cm3 then what is the height of cylinder.
Note: "cm3" (sic) in source
A person has purchased two adjacent plots, one is in rectangular shape and other is in square shape and combined them to make a single new plot. The breadth of the rectangular plot is equal to the side of the square plot and the cost of fencing the new plot is Rs. 390 (Rs. 5/m). Find the side of square if the length of the rectangular plot is 15 m.
The ratio of the diameter of base and height of a cylinder is 2 : 3. Find the radius of the cylinder if the approximate volume of cylinder is 3234.01 cm³?
Note: stacked fractions in options restored from PDF rendering
Area of Ist circle and circumference of IInd circle is 1386 cm² and 176 cm respectively. There is a square whose side is 35 5/7 % of twice of sum of the radius of both the circles. Find the perimeter of the square (in cm)?
Note: superscripts/stacked fraction restored from PDF rendering
The circumference of a circle is one-third of the perimeter of a rectangle. The area of the circle is 2464 sq. m. What is the area of the rectangle if the breadth of the rectangle is 120 m?
Length of rectangle ‘A’ is 125% of its breadth and area of rectangle ‘A’ is 1280 cm². If width of rectangle ‘A’ is half of the side of a square, then find perimeter of square.
Radius of two cylinders are in the ratio 3: 2 respectively and their heights are in the ratio 4: 3 respectively. What is the respective ratio of their volumes?
Perimeter of a rectangle is 216 cm and its breadth is equal to the side of square whose area is 2025 cm². Find the area of the circle whose diameter is equal to the length of the rectangle?
Circumference of a circle is 88 cm and radius of the cylinder is 3/4 of the diameter of the circle. If height of cylinder is 12 cm, then find the volume (in cm³) of the cylinder?
The area of a circle is equal to the area of a rectangle whose perimeter equals to 35 m and breadth equal to 5.5 m. What is the area of the circle ?
The height of a triangle is equal to the perimeter of a square whose diagonal is 9√2 metre and the base of the same triangle is equal to the side of the another Square whose area is 784 m². What is the area of the triangle (In m²).
Note: 9√2 transcribed from image in source
The ratio of the radius and height of a cylinder is 7: 12. If its volume is 6237 cm³ then find difference between its total surface area and curved surface area?
Length of rectangle is 5m more than side of square, whose area is 225m² . Ratio of length to breadth of rectangle is 5 : 4, then find perimeter of rectangle.
If ratio between total surface area of cylinder to its curved surface area is 4 : 3 then radius of cylinder is what percent less then height of cylinder?
Note: options transcribed from images in source
The sum of area of a circle and area of a rectangle is equal to 2136 sq. cm. If the diameter of the circle is 42 cm & the breath of the rectangle is 30 cm, then find the difference between the circumference of the circle and the perimeter of the rectangle?
Ratio of volume of two spheres is 27 : 64 and radius of larger sphere is 14 cm. If radius of smaller sphere is 7.5 cm less than side of a square, then find the area of that square (in cm²)?
Sum of circumference of circle and perimeter of the square is 204 cm and ratio of radius of circle to side of square is 7 : 6. Find the area of square (in cm2).
Perimeter of a right-angled triangle is 3 times of its base. If area of triangle is 6 cm², then find the hypotenuse of the triangle?
Note: '6 cm²' transcribed from inline image in source
Diameter of a cylindrical jar is increased by 25%. By what percent must the height be decreased so that there is no change in its volume?
Ratio of area of rectangle to area of square is 1 : 4. Ratio of perimeter of rectangle to perimeter of square is 1 : 2. If length is 5 cm, then find area of square ?
In a right-angled triangle hypotenuse is 8√10 cm and based is half of the height. If height and based of the triangle are equal to height & radius of a cylinder, then find curved surface area of cylinder.
A circle is inscribed a square and another circle is circumscribed the same square. The perimeter of the square is 28m. Find the difference between area of the both the circles (square m).
Circumference of a semicircle is 36 cm and radius of a sphere is thrice the radius of the semicircle, then find the curved surface area of the sphere (in square cm) .
The ratio of the curved surface area of a sphere to a cylinder is 7:3 respectively. If the volume of the cylinder is 7392 cubic cm, then find the diameter of the sphere. (In cm) (Note: radius of the sphere and the cylinder is same).
The ratio of the radius to the height of a cone is 5:12, respectively, and the volume of the cone is 2700 π cm3.If the side of a square is 2/3rd of the height of the cone, then find the perimeter of the square (in cm).
If the diagonal of a square is 36√2 cm and the radius of a circle is 7/12th of the side of the square, find the difference between the area of the square and the area of the circle (in square cm).
The length of base of a right angle triangle equal to length of a rectangle which breadth is 70 cm. If the height of the triangle is 24 cm and area of the rectangle is 1400 square cm, then find the area of the right angle triangle (in square cm)?
The area of a rectangular field having length 128m and breadth 16m is equal to the area of an isosceles right-angle triangle. If the radius of a sphere is 12 1/2 % of the hypotenuse of the isosceles right-angle triangle, then find out the total surface area of sphere?
Note: mixed fraction 12 1/2 restored (stacked fraction split in text layer)
A square is cut into four equal smaller squares. The total perimeter of the original square is 168 cm. A circle is drawn whose radius is equal to the side of one smaller square. Find the area of the circle (in cm²).
The perimeter of a rectangle is 58 cm, and the length of the rectangle is 3 cm more than that of the breadth. Find the area of the rectangle (in cm²).