Quantitative Aptitude Test

Result

Quantitative Aptitude Test - 5

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Weekly Quiz Competition

Question 1
4 / -1

Three numbers are in the ratio of 3 : 4 : 5 and their L.C.M. is 2400. Their H.C.F. is:

A
120

B
60

C
80

D
40

Solution
Question 2
4 / -1

Rohit borrowed a certain sum from bank for 2 years at simple interest. Rohit lent this sum to his uncle at the same rate for same time but at compound interest. At the end of 2 years, He received Rs. 550 from his uncle as interest and paid Rs. 500 to the bank as interest. Find the sum borrowed by Rohit and the rate of interest .

A
2500 at 20%

B
3250 at 15%

C
1250 at 20%

D
1750 at 15%

Solution
Question 3
4 / -1

If the mean of 10 observations x₁, x₂, x₃ … x₁₀ is 20, then mean of x₁ + 2, x₂ + 4, x₃ + 6, … x₁₀ + 20 is:

A
24

B
28

C
31

D
32

Solution
Question 4
4 / -1

A
6

B
7

C
8

D
9

Solution
Question 5
4 / -1

In the first 10 overs of a cricket game, the run rate was only 3.2. What should be the run rate in the remaining 40 overs to reach the target of 282 runs?

A
6.25

B
6.5

C
6.75

D
7

Solution
Question 6
4 / -1

If the length of a certain rectangle is decreased by 4 cm and the width is increased by 3 cm, a square with the same area as the original rectangle would result. Find the perimeter of the original rectangle.

A
20 cm

B
30 cm

C
50 cm

D
60 cm

Solution

Given

length of a rectangle is decreased by 4 cm and the width is increased by 3 cm

Formula used:

Area of rectangle = (l × b) sq. unit and Area of square = (side)² sq. unit

Perimeter of rectangle = 2(l + b) units

Let the length and breadth of the rectangle be x and y

⇒ Area of rectangle = (l × b) sq. unit

⇒ xy cm²

⇒ new length and breadth = (x - 4) and (y + 3)

⇒ (x - 4) = (y + 3)

⇒ x - y = 7 .....(1)

⇒ Area of square = (x - 4) × (y + 3)

According to question

⇒ Area of rectangle = Area of square

⇒ xy = (x - 4) × (y + 3)

⇒ 3x - 4y = 12 .....(2)

⇒ On solving these equation

⇒ x = 16 and y = 9

⇒ Perimeter of rectangle = 2(l + b) units

⇒ 2(16 + 9)

⇒ 2 × 25

⇒ 50 cm

∴ perimeter of the original rectangle is 50 cm
Question 7
4 / -1

A, B, and C play cricket. If the ratio of the number of runs scored by A to that scored by B and the number of runs scored by B to that scored by C is 3 : 2. The total number of runs is 342. The number of runs scored by A was?

A
162

B
72

C
108

D
None of these

Solution
Question 8
4 / -1

Payal walks in a square garden ABCD. She doesn't know the distance between 2 consecutive points. But she knows the distance between point A) and point C is 90√2 m. Find the perimeter of the garden.

A
300 m

B
360 m

C
260 m

D
120 m

Solution
Question 9
4 / -1

If a shopkeeper does a fraud of 18% in buying and selling of fruits, find the profit percentage of him.

A
42.25%

B
39.25%

C
43.9%

D
39.5%

Solution
Question 10
4 / -1

In a box, 4 coins of ten rupees, 2 coins of five rupees, 2 coins of two rupees and 2 coins of one rupee are put. Now, three coins are taken out randomly. What is the probability that the amount drawn is 12 rupees?

A
1/5

B
1/5

C
6/16

D
1/20

Solution