Q1. The average age of 40 girls in a class is 15. The average age of a group of 18 girls in the class is 16 and the average age of another 12 girls in the class is 14. What is the average age of the remaining girls in the class?
(a) 15.25 years
(b) 14.40 years
(c) 14.75 years
(d) 15.25 years
Q2. A dealer bought an item at 10% discount on its original price. He sold it at 35% more than the original price. What percentage of profit did he get?
(a) 25%
(b) 45%
(c) 20%
(d) 50%
Q3. If Rajesh’s salary is 30% more than Amit’s salary, then how many percent of Amit’s salary is less than that of Rajesh’s salary?
(a) ≈ 26%
(b) ≈ 23%
(c) ≈ 20%
(d) ≈ 27%
Q4. The population of a city is 1500000. It increases by 10% during 1st year, decreases by 20% in 2nd year and increases by 30% in the 3rd year. The population after 3 years is?
(a) 1716000
(b) 1750000
(c) 1650000
(d) 1600000
Q5. X, Y and Z undertake to complete a piece of work for Rs 1950. X works for 8 days, Y for 9 days and Z for 12 days to complete the work. If their daily wages are in the ratio of 3 : 5 : 4, what does Z get?
(a) 400
(b) 750
(c) 650
(d) 800
Q7. Diameter of a circle is 10 cm and two parallel chords are same in length whose length is 8 cm. Distance between both chords are –
(a) 6 cm
(b) 7 cm
(c) 8 cm
(d) 5.5 cm
Q8. Radii of two concentric circle are 9 cm and 15 cm. If chord of larger circle is same for tangent of small circle. Find the length of chord –
(a) 24 cm
(b) 12 cm
(c) 30 cm
(d) 18 cm
Solutions:
S1. Ans.(b)
Sol. Total age of 40 girls are = 40 × 15 = 600
So, Sum of other group of girls are = 18 × 16 + (12 × 14) = 456
Total age of other 10 girls and their average is
= 600-456 = (144/10)
= 14.4 years
S2. Ans.(d)
Sol. Let the original price to be Rs 100
So, he bought it at 10% discount i.e Rs 90 and
sells it at 35% more than the original rate = Rs 135
Actual profit is 135-90 = Rs 45
So profit% = (45/90) × 100 = 50%
S3. Ans.(b)
Sol. Amit’s salary is less than of Rajesh by:
= (30/(100 + 30)) × 100) %
= 300/13%
= 23% approx
S4. Ans.(a)
Sol. Initial population = 1500000
After first year increment of 10% population
= 1500000 + (10/100 × 1500000) =1650000
After 2nd year decrement of 20% population
= 1650000 – (20/100 × 1650000) = 1320000
After increment of 30% in 3rd year
= 1320000 + (30/100 × 1320000) = 1716000
S5. Ans.(d)
Sol. Daily wages are in the ratio 3:5:4
Working days of X,Y & Z = 8, 9 and 12
So, the wages they will get in the ratio are = 24:45:48
Share of Z = (48/ (24+45+48)) × 1950 = Rs 800
