**Q1. If the perimeter of semi-circular field is 324 m, then find out the diameter of the semi-circular field. **

(a) 125

(b) 126

(c) 127

(d) 128

**Q2. Find the median of 8, 11, 7, 10, 9, 12 and 5.**

(a) 8

(b) 9

(c) 12

(d) 11

**Q3. Three bells rings at an interval of 5 minutes, 6 minutes and 12 minutes respectively. If they ring together at 12 pm then when will they ring together again?**

(a) 1 pm

(b) 2 pm

(c) 1:30 pm

(d) 12:45 pm

**Directions (4-5): The line graph shows the number of work visas issued by a country in each year from 2011 to 2016. Study the diagram and answer the following questions.**

**Q4. Number of work visas issued were more than those issued in the previous years in how many years?**

(a) 1

(b) 3

(c) 4

(d) 2

**Q5. Number of work visas issued in 2016 were lower (in %) than the previous year by?**

(a) 20

(b) 100

(c) 50

(d) 25

**Q6. A, B and C can do a job working alone in 6, 9 and 18 days respectively. They all work together for 1 day, then A and B quit. How many days C working alone will take to complete the remainder of the job?**

(a) 9

(b) 6

(c) 12

(d) 10

**Q7. A man wills 40% of his wealth to his wife and rest to his children. What percent of the wealth willed to the wife do the children get?**

(a) 150

(b) 66.6

(c) 50

(d) 20

**Q8. An angle is 1/3 its supplementary angle. Find the measure of the angle?**

(a) 45°

(b) 90°

(c) 135°

(d) 22.5°

**Q9. If cot 240° = x, then the value of x is**

**Q10. If (6x – 5) = (4x + 7), then the numerical value of (x + 1)3 is**

(a) 216

(b) 125

(c) 64

(d) 343

**Solutuons:**

**S1. Ans.(b)**

**Sol.**

**S2. Ans.(b)**

**Sol.**

Arrange the numbers in either increasing or decreasing order.

5, 7, 8, 9, 10, 11 and 12 or 12, 11, 10, 9, 8, 7 and 5

Because total numbers are odd, then the median will be th term.

So, the median is 4th term = 9

**S3. Ans.(a)**

**Sol.** LCM of 5, 6 and 12 = 60

The bells will ring again after 60 minutes, it means they will ring together at 1 pm.

**S4. Ans. (d)**

**Sol.**

2012 and 2015 has more issued visas than previous year.

**S5. Ans. (d)**

**Sol.**

**S6. Ans.(c)**

**Sol.**

**S7. Ans.(a)**

**Sol.**

**S8. Ans.(a)**

**Sol.**

**S9. Ans.(b)**

**Sol.**

**S10. Ans.(d)**

**Sol.**

(6x – 5) = (4x + 7)

2x = 12 ⇒ x = 6

(x +1)³= (7)³ = 343

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