1. The ratio of the no. of boys to the no. of girls in a school of 720 students is 3: 5. If 18 new girls are admitted in the school, find how many new boys may be admitted so that the ratio of the no. of boys to the no. of girls may change to 2 : 3.
E) None of these
2. The values of x in the equation 7(x+2p)^2 + 5p^2= 35xp + 117p^2 are
A) (4p, –3p)
B) (4p, 3p)
C) (–4p, 3p)
D) (–4p, –3p)
E) None of these.
3. What is the amount of compound interest and effective rate of interest if an amount of Rs.20000 is deposited in a bank for one year at the rate of 8% per annum compounded semi annually.
A) 1632, 8.16%
B) 1600, 9.36%
C) 1936, 10.36%
D) 1756, 9.56%
E) None of these.
4. 3 men can complete a piece of work in 6 days. Two days after they started the work, 3 more men joined them. How many days will they take to complete the remaining work?
A) 5 days
B) 2 days
C) 8 days
D) 12 days
E) None of these.
5. Two pipes A and B can fill a tank in 36 min. and 45 min. respectively. A water pipe C can empty the tank in 30 min. First A and B are opened. After 7 minutes, C is opened. In how much time, the tank is full?
A) 45 minutes
B) 46 minutes
C) 52 minutes
D) 56 minutes
E) None of these.
6. Abhishek purchased 140 shirts and 250 trousers at the rate of Rs. 450 and Rs. 550 respectively. What should be the overall average selling price of shirts and trousers so that 40% profit is earned? (Rounded off to next integer).
B) Rs.710
C) Rs. 720
D) Rs. 700
E) None of these
7. In a college the students in Arts and Commerce faculties were in the ratio of 4:5 respectively. When 65 more students joined Commerce faculty the ratio became 8:11 respectively. How many students are there in Arts faculty?
D) Cannot be determined
E) None of these
8. An amount of Rs. 10,000 becomes Rs. 14,641 in two years if the interest is compounded half yearly. What is the rate of compound interest % per annum?
E) None of these.
9. Area of a rectangle is equal to the area of the circle whose radius is 21 cm. If the length and the breadth of the rectangle are in the ratio of 14:11 respectively, what is its perimeter?
A) 142cm
B) 140cm
C) 132cm
D) 150 cm
E) None of these
10. Prashant purchased a TV set for Rs. 12,500 and spent Rs. 300 on transportation and Rs. 800 on installation. At what price should he sell it so as to earn an overall profit of 15%?
A) Rs. 14,560
B) Rs. 14,375
C) Rs. 15,640
D) Rs. 15,375
E) None of these.
11. Three girls start jogging from the same point around a circular track and each one completes one round in 24 seconds, 36 seconds and 48 seconds respectively. After how much time will they meet at one point?
A) 2 minutes, 20 seconds
B) 2 minutes, 24 seconds
C) 4 minutes, 12 seconds
D) 3 minutes, 36 seconds
E) None of these
12. A 240-metre long train running at the speed of 60 km/hour will take how much time to cross another 270 metre long train running in opposite directions at the speed of 48 km/hour?
A) 17 seconds
B) 3 seconds
C) 12 seconds
D) 8 seconds
E) None of these
13. Sarita started a boutique investing an amount of Rs. 50,000. Six months later Meeta joined her with an amount of Rs. 80,000. At the end of one year they earned a profit of Rs. 18,000. What is Sarita's share in the profit?
A) Rs. 9,000
B) Rs. 8,000
C) Rs. 12,000
D) Rs 10,000
E) None of these
14. A alone can make 100 baskets in 6 days and B alone can make 100 baskets in 12 days. In how many days can A and B together make 100 baskets?
A) 3 days
B) 5 days
C) 2 (1/2 ) days
D) 3(1/2) days
E) None of these
15. Samir’s age is one-fourth of his father’s age and two third of his sister Reema’s age. What is the ratio of the ages of Samir, Reema and their father respectively?
A) 3:2:8
B) 3:4:8
C) 2:3:8
D) 4:3:8
E) None of these
Answers will be provided soon !!!
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