Quantitative Ability

Q. A shopkeeper bought some apples, out of which 6 got spoiled during transportation. He earned ₹360 by selling the remaining apples at ₹15 each. In this transaction, he neither gained profit nor incurred loss. What is the cost at which he had bought each apple?

1. 10.5
2. 10
3. 12
4. 12.5

Q. If a “Buy 3, Get 1” sales promotion offer is changed to “Buy 2, Get 1”, what is the additional percentage of discount given? Assume that all the items have the same price.

1. 12.5
2. 8.33
3. 5
4. 25

Q. Small grey identical cubes are removed from all faces of a cube as shown in the figure. By what percentage will the surface area of the cubeincrease?

1. 22.22%
2. No change
3. 30.77%
4. 44.44%

Q. What is the perimeter of the parallelogram in the below image (in units)?

1. 102
2. 108
3. 121
4. 96

Q. The shaded portion (a quarter of the circle) is cut out from the circle, and then the remaining portion is folded to make a cone. Now, if the bottom of the cone is covered with paper to form the base, what will be the ratio of the area of original circle to the total surface area of the cone made?

1. $21:16$
2. $9:16$
3. $1:1$
4. $16:21$

Q. From all sides of the given cube, a smaller cube(shaded) is removed, what will be the increase in surface area of the cube if all the shaded faces are identical?

1. 22.22%
2. No change
3. 30.77%
4. 44.44%

Q. In the given figure, $△ABC$ is inscribed in a semicircle. If $AB=AC$, and $BC=14cm$, what will be the area ($inc{m}^2$)of the green region? Consider $\pi =\frac{22}{7}$

1. 28
2. 56
3. 105
4. 52.5

Q. The curves in the below image are perfect semicircles. If the straight line AB measures 18 units, what is the length of the curved line of the figure?

1. 18𝜋
2. 9𝜋
3. 4.5𝜋
4. 36𝜋

Q. If two more dots are to be placed on the grid, in how many ways can they be placed such that the image is symmetric?

1. 4
2. 16
3. 0
4. 8

Q. What could be the value of
$R$ for the given relation, if $R=3P$?

1. 1
2. 6
3. 9
4. 3

Q. If the selling price of an item is doubled, the profit gets tripled. What is the new profit percentage if there is no change in the cost price of the item?

1. 100%
2. 200%
3. 50%
4. 300%

Q. A square OPQR is inscribed in a quadrant OSQT. If OP = $5\sqrt{2}cm$, find the area (in $c{m}^2$) of the blue region. (Take $\pi$ = $3.14$)

1. 35.25
2. 25.25
3. 28.5
4. 25

Q. If the sides of a parallelogram are equal in length, then which of the following conditions will always hold true?

1. The diagonals are not equal
2. The diagonals are equal in length.
3. The angle between the diagonals is ${90}^{\circ }$
4. The angle between the adjacent sides is ${90}^{\circ }$

Q. A shopkeeper buys some apples, but 6 of them get spoiled during transportation. If he collects ₹360, by selling the remaining apples for ₹15 each, and there was no profit or loss, for how much (in ₹) did he buy one apple?

1. 10.5
2. 12.5
3. 10
4. 12

Q.

Find the selling price,

Cost to store: $90, Mark up: 60%

Q. What is the sum of angles that are marked in the given figure?

1. ${360}^{\circ }$
2. ${540}^{\circ }$
3. ${720}^{\circ }$
4. ${180}^{\circ }$

Q. The numerical value of the volume of cube B is equal to the length of the side of cube A. The ratio of the volume to the surface area of cube A is ‘k’. If the length of side of cube B, and ‘k’, are integers, what could be the minimum value of ‘k’?

1. 16
2. 6
3. 36
4. 9

Q. The curves in the below image are perfect semicircles. If the straight line AB measures 18 cm, what is the length (in m) of the curved line of the figure?

1. 4.5𝜋
2. 9𝜋
3. 36𝜋
4. 18𝜋

Q.

Two identical cubes each of volume $64{\mathrm{cm}}^3$ are joined together end to end. What is the surface area of the resulting cuboid?

Q. If the area covered by both orange and yellow blocks is $2m^2$, what will be the minimum area (in $m^2$) covered by the grey blocks?

1. 16
2. 8
3. 12
4. 4

Q. If a “Buy 3, Get 1” sales promotion offer is changed to “Buy 2, Get 1”, what is the additional percentage of discount given?

1. 5
2. 12.5
3. 25
4. 8.33

Q.

Find the edge of a cube whose surface area is $432m^2$.