**Q1. 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**

(a) 132

(b) 135

(c) 136

(d) 138

**Q2. 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?**

(a) 1716000

(b) 1750000

(c) 1650000

(d) 1600000

**Q3. 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.**

(a) 25.65%

(b) 32.25%

(c) 51.35%

(d) 56.25%

**Q4. The ratio of the present age of Manoj to that of Wasim is 3:11. Wasim is 12 years younger than Rehana. Rehana’s age after 7 years will be 85 years. What is the present age of Manoj’s father, who is 25 years older than Manoj?**

(a) 43 years

(b) 67years

(c) 45 years

(d) 69 years

**Q5. Dinesh’s monthly income is four times Suresh’s monthly income. Suresh’s monthly income is twenty per cent more than Jyoti’s monthly income. Jyoti’s monthly income is 22,000. What is Dinesh’s monthly income?**

(a) Rs.1,06,500

(b) Rs.1,05,600

(c) Rs.1,04,500

(d) Rs.1,05,400

**Q6.Salaries of Ravi and Sumit are in the ratio 2 : 3. If the salary of each is increased by Rs. 4000, the new ratio becomes 40 : 57. What is Sumit’s present salary?**

(a) Rs. 20,000

(b) Rs, 30,000

(c) Rs, 38,000

(d) Rs.45, 000

**Q7. The ratio between the rates of walking of A and B is 3:4 . If the time taken by B to cover a certain is 48 minutes, the time taken (in minutes) by A to cover that distance is :**

(a) 36

(b) 64

(c) 21(5/7)

(d) 27(3/7)

**Q8. A man walking at the rate of 3 kmph crosses a square field diagonally in 2 minutes. The area of the field (in ares) is :**

(a) 25

(b) 30

(c) 50

(d) 60

**Q9. Summer started cycling along the boundaries of a square field from corner point A. After half an hour he reached the corner point C, diagonally opposite of A. If his speed was 8 kmph, what is the area of the field in sq. km?**

(a) 64

(b) 8

(c) 4

(d) None of these

**Q10. A man riding a cycle at 12 km/hr can reach a village in 4(1/2) hours. If he is delayed by 1(1/2 ) hours at the start, then in order to reach his destination in time, he should ride with a speed of:**

(a) 15 km/hr

(b) 16 km/hr

(c) 18 km/hr

(d) 20 km/hr

**Solutions**

S1. Ans.(b)

Sol.

After taking LCM of 4 , 6 , 11 = 132

The students left in each case = 3

Required number of students = 132 + 3 = 135

S2. Ans.(a)

Sol.

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

S3. Ans.(d)

Sol.

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 %

S4. Ans.(a)

Sol.

Present age of Rehana = 85 – 7 = 78 years

Present age of Wasim = 78 – 12 = 66 years

Present age of Manoj = 3/11 × 66 = 18 years

Present age of Manoj’s father = 18 + 25 = 43 years

S5. Ans.(b)

Sol.

Suresh’s monthly income = 1.2 × 22000 = Rs.26400

Dinesh’s monthly income = 26400 × 4 = Rs.105600

S6. Ans.(c)

Sol.

Let the original salaries of Ravi and Sumit be Rs. 2x and Rs. 3x respectively.

Then, (2x + 4000)/ (3x + 4000)= 40/57

57(2x + 4000) = 40(3x + 4000)

6x = 68,000

3x = 34,000

Sumit’s present salary = (3x + 4000) = Rs. (34000+ 4000) = Rs. 38,000

S7. Ans.(b)

Sol.

Ratio of time taken = 1/3 : 1/4 = 4:3

If B takes 3 min ,A takes 4 min

If B takes 48 min ,A takes (4/3 × 48)min = 64 minutes

S8. Ans.(c)

Sol.

Length of diagonal = distance covered in 2 min

= (3000/60 × 2) = 100 m.

so Area of the field = 1/2 × (diagonal)2 = 1/2 × 100× 100

= 5000 m2 = 50 ares

S9. Ans.(c)

Sol.

Distance covered in half an hour = 4 km.

2× side of the square = 4 km

side of square = 2 km

So Area of the field = 4 sq.km.

S10. Ans.(c)

Sol.

Distance = (Speed× Time)= (12× 9/12) km = 54 km

Now, distance = 54 km and time taken = 3 hrs.

so speed = distance/time = 54/3 = 18 km/hr.