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CIDCO Placement Paper
Quantitative Aptitude
1. A sphere of 30 cm radius is dropped into a cylindrical vessel of 80 cm diameter, which is partly filled wikth water, then its level rises by x cm. Find x:
a) 27.5 cm
b) 22.5 cm
c) 18.5 cm
d) Data inadequate
e) None of these
2. On dividing a number by 357, we get 39 as remainder. On dividing the same number by 17,what will be the remainder?
a) 0
b) 3
c) 5
d) 11
e) None of these
3. After replacing an old member by a new member, it was found that the average age of five members of a club is the same as it was 3 years ago. What is the difference between the ages of the replaced and the new member?
a) 2 years
b) 4 years
c) 8 years
d) 15 years
e) None of these
4. The LCM of two numbers is 495 and their HCF is 5. If the sum of the numbers is 10, then their difference is
a) 10
b) 46
c) 70
d) 90
e) None of these
5. A child has three different kinds of chocolates costing Rs.2, Rs.5 and Rs.10. He spends total Rs.120 on the chocolates. What is the minimum possible number of chocolates, he can buy, if
there must be atleast one chocolate of each kind?
a) 22
b) 19
c) 17
d) 15
e) None of these
6. A, B, C rent a pasture. A puts 10 oxen for 7 months, B puts 12 oxen for 5 months and C puts 15 oxen for 3 months for grazing. If the rent of the pasture is Rs. 175, how much must C pay
as his share of rent?
a) Rs.45
b) Rs.50
c) Rs.55
d) Rs.60
e) None of these
7. My brother is 3 years elder to me. My father was 28 years of age when my sister was born while my mother was 26 years of age when I was born. If my sister was 4 years of age when my brother was born, then, what was the age of my father and mother respectively when my brother was born?
a) 32 yrs., 23 yrs.
b) 32 yrs., 29 yrs.
c) 35 yrs., 29 yrs.
d) 35 yrs., 33 yrs.
e) None of these
8. A bag contains 6 black and 8 white balls. One ball is drawn at random. What is the probability that the ball drawn is white?
a) 3/4
b) 4/7
c) 1/8
d) 3/7
e) None of these
9. The ratio between the present ages of P and Q is 6 : 7. If Q is 4 years old than P, what will be the ratio of the ages of P and Q after 4 years?
a) 3 : 4
b) 3 : 5
c) 4 : 3
d) 7 : 8
e) None of these
10. I gain 70 paise on Rs.70. My gain percent is
a) 0.1%
b) 1%
c) 7%
d) 10%
e) None of these
11. In an A.P. consisting of 23 terms, the sum of the three terms in the middle is 114 and that of the last three is 204. Find the sum of first three terms :
a) 14
b) 42
c) 24
d) 69
e) None of these
12. Which one of the following numbers has rational square root?
a) 0.4
b) 0.09
c) 0.9
d) 0.025
e) None of these
13. The distance between two cities A and B is 330 Km. A train starts from A at 8 a.m. and travel towards B at 60 km/hr. Another train starts from B at 9a.m and travels towards A at 75 Km/hr. At what time do they meet?
a) 10 a.m
b) 10:30a.m
c) 11a.m
d) 11:30a.m
e) None of these
14. 10 women can complete a work in 7 days and 10 children take 14 days to complete the work. How many days will 5 women and 10 children take to complete the work?
a) 3
b) 5
c) 7
d) Data inadequate
e) None of these
15. BH is perpendicular to AC. Find x the length of BC.
a) 12.3
b) 2.3
c) 3.2
d) 13.2
e) None of these
16. Find the lengths of the other two sides of a right triangle if the length of the hypotenuse is 8 inches and one of the angles is 30°.
a) 4, 4â3 inches
b) 5, 6 inches
c) 2, 4â2
d) 3, 4â2 inches
e) None of these
17. A man takes 3 hours 45 minutes to row a boat 15 km downstream of a river and 2 hours 30 minutes to cover a distance of 5 km upstream. Find the speed of the river current in km/hr.
a) 1 km/hr
b) 2 km/hr
c) 3 km/hr
d) 4 km/hr
e) None of these
18. How many times are the hands of a clock at right angle in a day?
a) 22
b) 24
c) 44
d) 48
e) None of these
19. Two vessels A and B contain milk and water mixed in the ratio 8 : 5 and 5 : 2 respectively. The ratio in which these two mixtures be mixed to get a new mixture containing 69 % milk is :
a) 2 : 7
b) 3 : 5
c) 5 : 2
d) 5 : 7
e) None of these
20. A tap can fill a tank in 6 hours. After half the tank is filled, three more similar taps are opened. What is the total time taken to fill the tank completely ?
a) 3 hrs 15 min
b) 3 hrs 45 min
c) 4 hrs
d) 4 hrs 15 mins
e) None of these
21. How much time will it take for an amount of Rs.450 to yield Rs.81 as interest at 4.5% per annum of simple interest?
a) 3.5 years
b) 4 years
c) 4.5 years
d) 5 years
e) None of these
27. If 20% of a = b, then b% of 20 is the same as :
a) 4% of a
b) 5% of a
c) 20% of a
d) Data inadequate
e) None of these
22. Which one of the following numbers will completely divide (4 + 4 + 4 + 4 ) ?
a) 3
b) 10
c) 11
d) 13
e) None of these
23. The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero?
a) 0
b) 1
c) 10
d) 19
e) None of these
24. The greatest possible length which can be used to measure exactly the length 7m, 3m, 85cm,12m, 95 cm is
a) 15 cm
b) 25 cm
c) 35 cm
d) 42 cm
e) None of these
25. Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?
a) 210
b) 1050
c) 25200
d) 21400
e) None of these
