Quantitative Aptitude Test

Result

Quantitative Aptitude Test - 19

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Question 1
4 / -1

A person left a city P to city Q in the car at 8.00 a.m. He travelled at a speed of 90 km/hr for 3 hours. After that the speed was reduced to 80 km/hr. If the distance between the cities is 510 kms., at what time did he reach city Q?

A
1.00 p.m.

B
1.30 p.m.

C
2.00 p.m.

D
12.30 p.m.

Solution

Given:

Speed = 90 km/hr

Reduced Speed = 80 km/hr

Distance = 510 km

Starting time = 8.00 a.m

Formulae used:

Time to travel = 3 hr

So, they travel for 3 hour already

So, total time = 3 + 3 = 6hr

Add this 6 hr In 8:00 am

Time at he reaches Q destination = 8 + 3 + 3 = 2:00 pm
Question 2
4 / -1

Find the ages of Anil, Bini, and Chaya in order (in years) as the average age of Anil and Bini is 20 years and if Anil is to be replaced by Chaya, the average would be 19 years and the average age of Chaya and Anil is 21 years.

A
20, 18, 22

B
18, 22, 20

C
22, 18, 20

D
18, 20, 22

Solution
Question 3
4 / -1

Two printing machines A and B can print 2400 high-quality pages working 5hrs in 5 days. Machine A can print as many pages in 2.5hrs as machine B can print in 1.5 hrs. How many pages can machine B print in 1 hour?

A
80 pages

B
70 pages

C
50 pages

D
60 pages

Solution

Given:

Pages printed by A and B = 2400

Hours of work = 5

Days of work = 5

A’s 2.5 hrs work = B’s 1.5 hrs work

We know that,

Total unit of work = Work done by (A + B) in 1 hour × No of hours of work in 1 day × No of days of work

∵ A’s 2.5 hrs work = B’s 1.5 hrs work

⇒ A × 2.5 = B × 1.5

Let, A’s one hour’s work = 3x

B’s one hours work = 5x

∴ (5x + 3x) × 5hr × 5 days = 2400 pages

⇒ 8x × 5 × 5 = 2400

⇒ x = 12

∴ Pages printed by B in 1 hour = 5x = 5 × 12 = 60 pages.✅
Question 4
4 / -1

The least perfect square, which is divisible by each of 21, 36, and 66 is:

A
214444

B
213444

C
215444

D
216444

Solution

As given,

L.C.M. of 21, 36, 66 = 2772

Now, 2772 = 2 × 2 × 3 × 3 × 7 × 11

To make it a perfect square, it must be multiplied by 7 × 11.

So, the required number

= 2² × 3² × 7² × 11²

= 213444 ✅
Question 5
4 / -1

In a mixture, there is 63 litres of water and 77 litres of milk. Some quantity of the mixture is taken out. After that 16 litres of water and 4 litres of milk are added in to the mixture, so that quantity of water and milk are the same in the mixture. Find the total quantity of mixture when some amount of mixture taken out.

A
90 litres

B
130 litres

C
120 litres

D
100 litres

Solution
Question 6
4 / -1

The product of two numbers is 4107. If the H.C.F. of these numbers is 37, then the greater number is:

A
101

B
107

C
111

D
185

Solution

Let the numbers be 37a and 37b

Then, 37a × 37b = 4107

⇒ ab = 3

Now, co-primes with product 3 are (1, 3)

So, the required numbers are (37 × 1, 37 × 3) i.e., (37, 111)

∴ Greater number = 111 ✅
Question 7
4 / -1

Number of students in institutes A and B were in the ratio of 7 : 15 respectively in 2012. In 2013, the number of students in institute A increased by 25% and number of students in institutes B increased by 26%, then what was the respective ratio between number of students in institutes A and B?

A
25 : 26

B
24 : 55

C
24 : 53

D
25 : 54

Solution
Question 8
4 / -1

In the quadrilateral ABCD, the line segments CE and DE bisecting ∠C and ∠D respectively and meet at E. Then the correct statement is:

A

B

C

D
None of these

Solution
Question 9
4 / -1

If the profit percent got on selling an article is numerically equal to its cost price in rupees and the selling price is Rs. 39, then cost price (in Rs.) will be:

A
20

B
22

C
28

D
30

Solution
Question 10
4 / -1

By selling a bicycle for Rs. 2,850, a shopkeeper gains 14%. If the profit is reduced to 8%, then the selling price will be:

A
Rs. 2600

B
Rs. 2700

C
Rs. 2800

D
Rs. 3000

Solution