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  1. The ratio of the first and second class fares between two railway stations is 4 : 1 and that of the number of passengers traveling by first and second classes is 1 : 40. If on a day Rs. 1100 are collected as total fare, the amount collected form the first class passengers is
    (a) Rs.315
    (b) Rs.315
    (c) Rs.137.50
    (d) Rs.100
    (e) none of these
  2. A person took a loan of Rs. 6000 for 3 years, at 5% per annum compound interest. He repaid Rs. 2100 in each of the first 2 years. The amount he should pay at the end of 3rd year to clear all his debts is
    (a) Rs.2425.50
    (b) Rs.2552.50
    (c) Rs.2635.50
    (d) Rs. 2745.50
    (e) none of these
  3. A man buys three houses, the second one at twice the price of the first and the third one at twice the price of the second. He manages to sell the first and the second both at a profit of 20% but incurs a loss of 10% over selling the third. Overall, he has profit or loss%.
    (a)got a profit less than 3%
    (b) incurred a loss of 3%
    (c)got a profit more than 3%
    (d) incurred a loss less than 3%
    (e) none of these
  4. A man buys two chairs for a total cost of Rs. 900. By selling one for 4/5 of its cost and the other for 5/4 of its cost, he makes a profit of Rs. 90 on the whole transaction. The cost of the lower priced chair is
    (a) Rs. 360
    (b) Rs. 400
    (c) Rs. 420
    (d) Rs. 300
    (e)none of these
  5. Two pipes A,B can fill a tank in 24 min. and 32 min. respectively. If both the pipes are opened simultaneously, after how much time B should be closed so that the tank is full in 18 min.?
    (a) 8 min
    (b) 12 min
    (c) 15 min
    (d) 20 min
    (e) 17 min
  6. A train travelling 25 km an hour leaves Delhi at 9 a.m. and another train travelling 35 km an hour starts at 2 p.m. in the same direction. How many km from Delhi will they be together?
    (a) 437 ½ km
    (b) 436 ½ km
    (c) 435 ½ km
    (d) 434 ½ km
    (e) 435 km
  7. A and B can do a work in 8 days, B and C can do the same work in 12 days. A, B and C together can finish it in 6 days. A and C together will do it in :
    (a) 4 days
    (b) 8 days
    (c) 6days
    (d) 7 days
    (e) 5 days
  8. A and B can do a job together in 7 days. A is 1 3/4 times as efficient as B. The same job can be done by A alone in :
    (a) 12 days
    (b) 11 days
    (c) 15 days
    (d) 16 days
    (e) 10 days
  9. A man covered a certain distance at some speed. Had he moved 3 kmph faster, he would have taken 40 minutes less. If he had moved 2 kmph slower, he would have taken 40 minutes more. The distance(in km) is:
    (a)40km
    (b)28
    (c)42
    (d)48
    (e)none of these
  10. What will be the compound interest accrued on an amount of Rs. 10.000 at the rate of 20 p.c.p.a. two years if the interest is compounded half yearly?
    (a)Rs.4,400
    (b)Rs.4,600
    (c)Rs.4,641
    (d)Rs.4,680
    (e)None of these

 

 

SOLUTIONS

 

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(d) Let the first class fare is 4x and second class fare is x Rs.Let the no of passengers travelling by first class is y and by second class is 40y.
total fare of first class=4xy
total fare of second class=40xy
4xy+40xy=1100
xy=25
so amount collected by first class passengers=4xy=4*25=100

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