Dear Readers, Exam Race for the Year 2019 has already started, To enrich your preparation here we are providing new series of Practice Questions on Quantitative Aptitude – Section for CWC/FCI Exam. Aspirants, practice these questions on a regular basis to improve your score in aptitude section. Start your effective preparation from the right beginning to get success in upcoming CWC/FCI Exam.
[WpProQuiz 5967]Click Here to Take FCI Prelims Mock Test
Click Here to Take CWCÂ Prelims Mock Test
1)4 years ago, the ratio of ages of A and B is 3 : 4. The age of A, 11 years ago is equal to the present age of C. The average age of A, B and C is 27 years. Find the present age of B?
a) 28 years
b) 32 years
c) 30 years
d) 36 years
e) None of these
2)A and B can complete a work in 15 days and 24 days respectively. A begins to do the work and they work alternately for a day. The whole work will be completed by both of them in how many days?
a) 18 3/8 days
b) 16 2/5 days
c) 17 4/7 days
d) 19 5/9 days
e) None of these
3) P, Q and R started a business by investing Rs. 15000, Rs. 25000 and Rs. 32000 respectively. After 5 months, P invested 30 % of initial investment more and at the same time R withdraws Rs. 7000. If the total profit at the end of the year is Rs. 84650, then find the share of Q?
a) Rs. 24000
b) Rs.22500
c) Rs. 31500
d) Rs. 30000
e) None of these
4) The simple interest accrued on an amount of Rs. 30000 at the end of 3 years is Rs. 10800. Find the corresponding compound interest?
a) Rs. 11562.56
b) Rs. 13285.78
c) Rs. 12147.84
d) Rs. 10326.22
e) None of these
5) A box contains 6 pink, 4 red and 5 yellow marbles. If 2 marbles are picked at random, then find the probability that the marbles are either yellow or pink?
a) 9/31
b) 11/34
c) 15/29
d) 5/21
e) None of these
Directions (Q. 6 – 10) Study the following information carefully and answer the given questions:
The following table shows the total number of population in different villages and the percentage of female among them and the ratio of literate to illiterate population among them.
| Village | Population | % of female | Literate : illiterate |
| A | 65000 | 45 % | 7 : 6 |
| B | 75000 | 52 % | 3 : 1 |
| C | 90000 | 46 % | 13 : 5 |
| D | 50000 | 55 % | 19 : 6 |
| E | 45000 | 40 % | 3 : 2 |
| F | 35000 | 45 % | 5 : 2 |
Â
6) If out of the males of village C, 58 % are literate, then find the literate female population in village C?
a) 42524
b) 38966
c) 34508
d) 36812
e) None of these
7) Find the average female population of all the given villages except village C?
a) 25900
b) 23500
c) 28700
d) 24600
e) None of these
8) Total illiterate population in village A is approximately what percentage of total population in village F?
a) 64 %
b) 75 %
c) 86 %
d) 95 %
e) 108 %
9) Find the ratio between the total number of male population in village C and F together to that of total number of female population in village A and E together?
a) 1521 : 917
b) 1357 : 945
c) 924 : 755
d) 857 : 623
e) None of these
10) Total illiterate population in village D is what percentage more/less than the total illiterate population in village B?
a) 20 % more
b) 36 % less
c) 20 % less
d) 36 % more
e) 12 % more
Answers:
1) Answer: d)
4 years ago, the ratio of ages of A and B = 3 : 4 (3x, 4x)
The age of A, 11 years ago = The present age of C
The present age of C = 3x – 7
The average age of A, B and C = 27 years
Total age of A, B and C = 27*3 = 81 years
According to the question,
3x + 4x + 8 + 3x – 7 = 81
10x + 1 = 81
10x = 80
X = 8
Present age of B = 4x + 4 = 32 + 4 = 36 years
2) Answer: a)
Total work = LCM of 15 and 24 = 120 units
A’s one day work = 8 units
B’s one day work = 5 units
A and B’s two day work = 8 + 5 = 13 units
A and B’s eighteen day work = 13*9 = 117 units
Remaining units = 120 – 117 = 3 units
Remaining work can be completed by A in, = 3/8 days
Total work can be completed by both of them in, 18 3/8 days
3) Answer: d)
The share of P, Q and R
= > [15000*5 + 15000*(130/100)*7] : [25000*12] : [32000*5Â + 25000*7]
= >211500 : 300000 : 235000
= >423 :600 : 670
Total profit = Rs. 84650
1693’s =84650
1’s = 50
The share of Q = Rs. 30000
4) Answer: c)
S.I = PNR/100
10800 = (30000*3*R)/100
R = (10800*100)/(30000*3) = 12 %
C.I = P*(1 + (R/100))n – 1)
= > 30000*(1 + (12/100))3 – 1)
= > 30000*(112/100)3 – 1)
= >30000*[(28/25)3 – 1]
= > 30000*[(21952/15625) – 1]
= > 30000*(6327/15625)
= >Rs. 12147.84
(Or)
Compound Interest is,
30000*(12/100) = 3600
33600*(12/100) = 4032
37632*(12/100) = 4515.84
CI = 3600 + 4032 + 4515.84 = Rs. 12147.84
5) Answer: d)
Total probability = 15C2
Required probability = 5C2 or 6C2
The probability that the marbles are either red or pink,
= > 5C2 or 6C2 / 11C2
= > 5/21
Directions (6-10):
6) Answer: d)
Total male population in village C
= > 90000*(54/100) = 48600
Male literate population in village C
= > 48600*(58/100) = 28188
Total literate population in village C
= > 90000*(13/18) = 65000
Female literate population in village C = 65000 – 28188 = 36812
7) Answer: a)
The total female population of all the given villages except village C
= > 65000*(45/100) + 75000*(52/100) + 50000*(55/100) + 45000*(40/100) + 35000*(45/100)
= > 29250 + 39000 + 27500 + 18000 + 15750 = 129500
Required average = 129500/5 = 25900
8) Answer: c)
Total literate population in village A
= > 65000*(6/13) = 30000
Total population in village F = 35000
Required % = (30000/35000)*100 = 85.71 % = 86 %
9) Answer: b)
The total number of male population in village C and F together
= > 90000*(54/100) + 35000*(55/100)
= > 48600 + 19250 = 67850
The total number of female population in village A and E together
= > 65000*(45/100) + 45000*(40/100)
= > 29250 + 18000 = 47250
Required ratio = 67850 : 47250 = 1357 : 945
10) Answer: b)
Total illiterate population in village D
= > 50000*(6/25) = 12000
Total illiterate population in village B
= > 75000*(1/4) = 18750
Required % = [(18750 – 12000)/18750]*100 = 36 % less
