1. 3 women and 18 children together take 2 days to complete a piece of work. How many days will 9 children alone take to complete the piece of work if 6 women alone can complete the piece of work in 3 days?
a) 9
b) 7
c) 5
d) 6
e) None of these
2. The average of a square is twice the perimeter of a rectangle. If the perimeter of the square is 72 cm and the length of the rectangle is 12 cm, what is the difference between the breadth of the rectangle and the side of the square?
a) 9 cm
b) 12 cm
c) 18 cm
d) 3 cm
e) None of these
3. At present Anil is 1.5 times Purvi's age. Eight years hence, the respective ratio between Anil and Purvi's ages then will be 25 : 18. What is Purvi's present age?
a) 50 yr
b) 28 yr
c) 42 yr
d) 36 yr
e) None of these
4. A rectangular plot is 24 m by 18 m. The owner of that plot wants to divide the plot into two equal parts and for that purpose he builds a fence of wire on one diagonal. If wire costs Rs.12.50 metre, how much would the fence cost?
a) Rs.360
b) Rs.525
c) Rs.450
d) Rs.375
e) None of these
5. In a musical concert, the ratio of the number of girls to that of boys was 5 : 7. When 102 more girls entered the concert, the new ratio of the number of girls to that of boys became 6 : 5. How many people were there in the musical concert at first?
a) 360
b) 240
c) 480
d) 330
e) None of these
6. When a large pipe and a small pipe are opened for 4hr and 9hr, respectively, a tank is half filled. But when both pipes are opened simultaneously the tank is filled in 12hr. How many hours does the larger pipe tank to fill the tank?
a) 15
b) 18
c) 20
d) 24
e) None of these
7. On a certain sum of money the compound interest for 2yr is Rs.282.15 and the simple interest for the same period of time is Rs.270. What is the rate of interest per annum?
a) 8%
b) 9%
c) 7.5%
d) 6%
e) None of these
8. In a class 65% of students play Hockey while 80% play Football. If 55% play both the games, what per cent of the students play Hockey or Football but not both the games?
a) 30
b) 35
c) 25
d) Can't be determined
e) None of these
9. The profit earned after selling an article for Rs.625 is the same as the loss incurred after selling the article for Rs.435. What is the cost price of the article?
a) Rs.530
b) Rs.520
c) Rs.540
d) Rs.550
e) None of these
10. A sum of Rs.817 is divided among A, B and C such that A receives 25% more than B and B receives 25% less than C. What is A's share in the amount?
a) Rs.228
b) Rs.247
c) Rs.285
d) Rs.304
e) None of these
Answers:
1. (d): 6 women 1 day work = 1/3, 1 woman 1 day work = 1/3 * 1/6 = 1/18, 3 women 1 day work = 1/18 * 3 = 1/6
18 children 1 day work = 1/2 - 1/6 = 1/3, 9 children 1 day work = 1/3 * 1/18 * 9 = 1/6
Hence, 9 children alone can complete the work in 6 days.
2. (b): Given, perimeter of square = 72cm, Perimeter fo the rectangle = 72/2 = 36cm
Perimeter of the rectangle = 2(L + B)
=> 36 = 2(12 + breadth) => 2*breadth = 12cm => breadth = 6cm.
Now side of square = 72/4 = 18cm
Hence, required difference = 18 - 6 = 12cm.
3. (b): Suppose, present age of Purvi = X yr and present age of Anil = 1.5X yr
Then, (1.5X + 8)/(X + 8) = 25/18 => X = 28yr.
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