**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

ANSWERS

ANSWERS

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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