# Mixed Quantitative Aptitude Questions Set 66

1. M and N started a business investing Rs. 12000 and Rs. 16000 respectively. After 6 months, N withdrew half of his investment. If after a year, the total profit was Rs. 5200, what was N’s share?
Rs1850
Rs2455
Rs2360
Rs2600
None
Option D
Solution:
M:N=12000*12 : (16000*6) + (8000*6)
12*12 : (96+48)
144:144=1:1.
N’s share
2…….. 5200
1 …… ? ==>Rs2600.
2. A metallic sheet is of rectangular shape with dimensions 42 m x 28 m. From each of its corners, a square is cut off so as to make an open box. If the length of the square is 6 m, the volume of the box is:
2880 m 3
2450 m 3
2640 m 3
2340 m 3
None
Option A
Solution:
l = (42 – 12)m = 30 m, [6+6 = 12] b = (28 -12)m = 16 m,
h = 6 m.
Volume of the box = (30 x 16 x 6) m cube
= 2880 m 3.
3. A boat running downstream covers 28 kms in 4 hours, while for covering the same distance upstream it takes 7 hours. What is the speed of the boat in still water?
7km/hr
8.5km/hr
6km/hr
5.5km/hr
None
Option D
Solution:
Downstream speed=28/4=7km/hr
Upstream speed=28/7=4km/hr
Speed of the boat in still water=(7+4)/2
=11/2=5.5km/hr.
4. If the compound interest on a certain sum of money for 2 years at 4% per annum be Rs. 2448, what would be the simple interest on the same sum for 2 years at the same rate?
Rs2110
Rs2400
Rs2650
Rs2520
None
Option B
Solution:
CI/SI=(200+R)/200
2440/SI=204/200
SI=Rs2400.
5. The average price of 10 books is Rs.12 while the average price of 8 of these books is Rs.11.75. Of the remaining two books, if the price of one book is 60% more than the price of the other, what is the price of each of these two books?
Rs18, Rs8
Rs15, Rs11
Rs10, Rs16
Rs12, Rs14
None
Option C
Solution:
Total cost of 10 books = Rs. 120.
Total cost of 8 books = Rs. 94.
The cost of 2 books = Rs. 26.
Let the price of each book be x and y.
x + y =26
Given that the price of 1 book is 60% more than the other price
100x+160x=26
260x=26
X=10
then y=26-10=16.
6. A spider climbed 125/2% of the height of the pole in one hour and in the next hour it covered 25/2% of the remaining height. If pole’s height is 192 m, then the distance climed in second hour is
12m
6m
9m
15m
None
Option C
Solution:
Height of the Pole = 192 m.
Spider covered in first hour,
= 125/2 % of 192.
= (125 *192)/(2*100)
= 120 m.
Remaining pole = 192 – 120 = 72 m.
Spider covered in Second hour,
= 25/2 % of remaining height.
= (25*72)/(2*100)
= 9 m.
7. A bag contains an equal number of one rupee, 50 paise and 25 paise coins. If the total value is Rs. 42, how many coins of each type are there?
32
18
24
28
None
Option C
Solution:
Let X coins of each type of there.
Total Value = Rs. 42.
Now,
X + X/2 + X/4 = 42.
4X + 2X + X = 42*4.
7X = 42*4.
X = 24.
8. A trader earns a profit of 30% after giving a discount of 20% on the marked price. How much percent more than cost price should he mark his marked price?
62 1/2 %
33 1/3%
45%
52%
None
Option A
Solution:
80 ,…….. 130
100 ……. ? ==> 650/4
%ge increase=650/4 – 100
=(650-400)/4
=250/4=62 1/2 %.
9. Kamlesh picks a letter from the set of English alphabet and finds it to be a consanant. What is the probability that the letter is either M or P?
2/21
3/20
4/21
1/20
None
Option A
Solution:
Total consonant=21
Get either M or P=1/21+ 1/21
=2/21.
10. A book consist of 40 pages, 25 line on each page and 27 characters on each line. If this content is written in another note book consisting 30 lines and 25 characters per line then the required no. of pages will how much percent greater than previous pages?
8%
10%
12%
16%
None
Option B
Solution:
Let the required number of pages be X.
40*25*27 = X*30*25
X = 36
% increase in number of pages,
=(40-36)/40 *100
= (4/40)*100 = 10%.