Quantitative Aptitude Questions and Answers With Explanation (Practice set 14)

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Q1:
Seats for Mathematics, Physics, and Biology in a school are in the ratio 5:7:8. There is a proposal to increase these seats by 40%, 50%, and 75% respectively. What will be the ratio of increased seats?

A) 1:2:3 B) 2:3:4
C) 3:4:5 D) 4:5:6

Q2:
If books bought at prices ranging from Rs. 200 to Rs. 350 are sold at prices ranging from Rs. 300 to Rs. 425, what is the greatest possible profit that might be made in selling eight books?

A) 600 B) 1200
C) 1800 D) none of these

Q3:
The average of 11 numbers is 10.9. If the average of the first six numbers is 10.5 and that of the last six numbers is 11.4, then the middle number is :

A) 10.5 B) 11.5
C) 12.5 D) 13.5

Q4:
If 6th March 2005 is Monday, what was the day of the week on 6th March 2004?

A) Sunday B) Saturday
C) Tuesday D) Wednesday

Q5:
The sum of two numbers is 528 and their H.C.F is 33. The number of pairs of numbers satisfying the above condition is

A) 4 B) 6
C) 8 D) 12

Q6:
A fires 5 shots to B's 3 but A kills only once in 3 shots while B kills once in 2 shots. When B has missed 27 times, A has killed :

A) 30 birds B) 60 birds
C) 72 birds D) 90 birds

Q7:
Find out the wrong number in the given sequence of numbers.

582, 605, 588, 611, 634, 617, 600

A) 634 B) 611
C) 605 D) 600

Q8:
The G.C.D of 1.08, 0.36, and 0.9 is

A) 0.03 B) 0.9
C) 0.18 D) 0.108

Q9:
If A's height is 40% less than that of B, how much percent B's height is more than that of A?

A) 66.66% B) 76.66%
C) 96.66% D) 86.66%

Q10:
A man on tour travels first 160 km at 64 km/hr and the next 160 km at 80 km/hr. The average speed for the first 320 km of the tour is

A) 35.55 km/hr B) 36 km/hr
C) 71.11 km/hr D) 71 km/hr


ANSWERS WITH EXPLANATION


Answer1: B) 2:3:4
Explanation:

Originally, let the number of seats for Mathematics, Physics, and Biology be 5x, 7x, and 8x respectively.
The number of increased seats is (140% of 5x), (150% of 7x), and (175% of 8x).
⇒ [(140/100) × 5x],[(150/100) × 7x] and [(175/100) × 8x]
⇒ 7x, 21x/2 and 14x.
⇒ The required ratio =7x : 21x/2 : 14x
⇒ 14x : 21x : 28x
⇒ 2 : 3 : 4

Answer2: C) 1800
Explanation:

Least Cost Price = Rs. (200 * 8) = Rs. 1600.
Greatest Selling Price = Rs. (425 * 8) = Rs. 3400.
Required profit = Rs. (3400 - 1600) = Rs. 1800.

Answer3: B) 11.5
Explanation:

Middle numbers  =  [(10.5 x 6 + 11.4 x 6) - 10.9 x 11] = (131.4 - 119-9) = 11.5.

Answer4: A) Sunday
Explanation:

The year 2004 is a leap year. So, it has 2 odd days.
But, Feb 2004 not included because we are calculating from March 2004 to March 2005.
So it has 1 odd day only.
The day on 6th March 2005 will be 1 day beyond the day of 6th March 2004.
Given that, 6th March 2005 is Monday.
6th March 2004 is Sunday (1 day before 6th March 2005).

Answer5: A) 4
Explanation:

Let the required numbers be 33a and 33b. 
Then 33a +33b= 528   =>   a+b = 16.
Now, co-primes with sum 16 are (1,15) , (3,13) , (5,11) and (7,9).
Therefore, Required numbers are  ( 33 x 1, 33 x 15), (33 x 3, 33 x 13), (33 x 5, 33 x 11), (33 x 7, 33 x 9)
The number of such pairs is 4.

Answer6: A) 30 birds
Explanation:

Let the no of shots be x. Then, 
Shots fired by A =(5/8)x
Shots fired by B = (3/8)x 
Killing shots by A = 1/3 of (5/8)x  = (5/24)x
Shots missed by B = 1/2 of (3/8)x = (3/16)x 
(3/16)x = 27 ⇒ x =144
Birds killed by A = (5/24)x = (5/24)*144 = 30

Answer7: A) 634
Explanation:

Alternatively 23 is added and 17 is subtracted from the terms. So, 634 is wrong.

Answer8: C) 0.18
Explanation:

Given numbers are 1.08, 0.36 and 0.90

H.C.F of 108, 36, and 90 is 18                  [ ∵ G.C.D is nothing but H.C.F]
Therefore, H.C.F of given numbers = 0.18        

Answer9: A) 66.66%
Explanation:

Excess of B's height over A's = [(40/(100 - 40)] x 100% =  66.66%

Answer10: C) 71.11 km/hr
Explanation:

Total time taken    = (160/64 + 160/8)hrs
                           = 9/2 hrs.
Average speed    = (320 x 2/9) km.hr
                         = 71.11 km/hr.

 

Also Read:

Quantitative Aptitude Questions and Answers With Explanation (Practice set 13)

 

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