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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