1. If separate teams of four or six or eleven students are made from the students of a class, three students are left in each case. The smallest possible number of students in the class is
(1) 132
(2) 135
(3) 136
(4) 138
(5) None of these

2. If 2x + 3y = 87 and 3x – 3y = 48, what is the value of x?
(1) 11
(2) 29
(3) 72
(4) 28
(5) None of these

3. Find the approximate average of the following set of scores

1566,  2455, 1231, 2678, 1989, 3342, 2715

(1) 2590
(2) 2555
(3) 2268
(4) 2282
(5) 2280

4. The population of a city is 1500000. It increases by 10% during 1st yr, decreases by 20% in 2nd yr and increases by 30% in the 3rd yr. The population after 3 yr is ?
(1) 1716000
(2) 1750000
(3) 1650000
(4) 1600000
(5) None of these

5. What per cent is 25 paise of Rs 100?
(1) 250%
(2) 25%
(3) 2.5%
(4) 0.25%
(5) None of these

6. A, B and C undertake to complete a piece of work for Rs 1950. A works for 8 days, B for 9 days and C for 12 days to complete the work. If their daily wages are in the ratio of 3 : 5 : 4, what does C get?
(1) 400
(2) 750
(3) 675
(4) 800
(5) None of these

7. If 100 men can do 100 jobs in 100 days, then 1 man can do 1 job in
(1) 1 day
(2) 100 days
(3) 50 days
(4) 10 days
(5) None of these

8. A fruit seller buys mangoes at the rate of 15 for 12 and sells them at the rate of 15 per dozen. Find his gain percentage.
(1) 25.65%
(2) 32.25%
(3) 51.35%
(4) 56.25%
(5) None of these

9. A motorist travels a distance of 10 km at a speed of 50 km/h in the onward journey and 60 km/h while returning. His average speed is
(1) 54 6/11 km/h
(2) 55 km/h
(3) 55 6/11  km/h
(4) 54 km/h
(5) None of these

10. The difference between 90% of a number and 83% of the same number is 175. What is 99% of that number?
(1) 2420
(2) 2475
(3) 2500
(4) 1750
(5) None of these

1. (2)
After taking LCM of 4 , 6 , 11 = 132
The students left in each case = 3
Required number of students = 132 + 3 = 135

2. (5)

3. (4)

4. (1)
Initial population = 15,00000;
After first year increment of 10 %, population = 1500000 + 10/100 × 1500000 = 1650000
After second year decrement of 20%, population = 1650000 - 20/100 × 1650000 = 1320000
After increment of 30 % in third year = 1320000 + 30/100 × 1320000 = 1716000

5. (4)

6. (4)
Daily  wages are in the ratio 3 : 4 : 5 , working days of A,B,C = 8,9 and 12 so the wages they get will be in ratio 24 : 45 : 48,
Share of C = 48/(24+45+48) × 1950 = Rs 800

7. (2) use chain rule ; if 100 men will do one job in 100 days individually , so one man will do one job in 100 days .

8. (4)
C.P. of one mango = 12/15 = 80 paise ; S.P. of one mango = 15/12=Rs 1.25 ;
Gain = 45 paise , gain = 45/80 × 100 = 56.25 %

9. (1) average speed = (2x×y )/((x+y))=(2 × 50 × 60)/(50 + 60) = 600/11 = 54 6/11 km/hr

10. (2)
value of (90% - 83%)x = 175, 7% of x = 175, 100 % = 2500
99 % of 2500 = 2475

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