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# Maths Quiz for 2016-17 Exams

1. Yana and Gupta leave points x and y towards y and x respectively simultaneously and travel in the same route. After meeting each other on the way, Yana takes 4 hours to reach her destination, while Gupta takes 9 hours to reach his destination. If the speed of Yana is 48 km/hr, what is the speed of Gupta?
(a) 72 mph
(b) 44 mph
(c) 20 mph
(d) 60 mph
2. If a regular polygon has each of its angles equal to 3/5 times of two right angles, then the number of side is-
(a) 4
(b) 5
(c) 6
(d )2
If the number of sides a regular polygon be n.
Then (2n-4)/n = 2*3/5
⇒ (2n – 4)*5 = 6n
∴  n = 5

3. The ratio of the number of boys and girls in a college is 7 : 8. If the percentage increase in the number of boys and girls be 20% and 10% respectively, what will be the new ratio?
(a) 19 : 22
(b) 20 : 21
(c) 21 : 22
(d) 17 : 18
Originally, let the number of boys and girls in the college be 7x and 8x respectively.
Their increased number is (120% of 7x) and (110% of 8x).
=> [120/100 x 7x] and [110/100 x 8x]
=> 42x/5 and 44x/5
=> The required ratio = 42x/5 : 44x/ 5] = 21 : 22

4. 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 salary?
(a) Rs. 20,000
(b) Rs, 30,000
(c) Rs, 38,000
(d) Rs.45, 000
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

5. A car covers 1/5 of the distance from A to B at the speed of 8 km/hour, 1/10 of the distance at 25 km per hour and the remaining at the speed of 20 km per hour. Find the average speed of the whole journey-
(a) 12.625 km/hr
(b)  13.625 km/hr
(c) 14.625 km/hr
(d) 15.625 km/hr
If the whole journey be x km. The total time taken
= (x/5/8 + x/10/25 + 7x/10/20) hrs
= (x/40 + x/250 + 7x/200) hrs
= 25x + 4x + 35x/1000
= 64x/1000 hrs
Average speed = x/64x/1000
= 15.625 km/hr

6. A cistern has 3 pipes A, B and C. A and B can fill it in 3 and 4 hours respectively, and C can empty it in 1 hour. If the pipes are opened at 3 p.m., 4 p.m. and 5 p.m. respectively on the same day, the cistern will be empty at-
(a) 7.12 p.m.
(b) 7.15 p.m.
(c) 7.10 p.m.
(d) 7.18 p.m.

7. A took two loans altogether of Rs.1200 from B and C. B claimed 14% simple interest per annum, while C claimed 15% per annum. The total interest paid by A in one year was Rs.172. Then, A borrowed-
(a) Rs.800 from C
(b)Rs. 625 from C
(c) Rs.400 from B
(d) Rs.800 from B
If A borrowed Rs. x from B. and A borrowed Rs. Rs. (1200 – x) from C
(1200 – x)*15*1/100 + x*14*1/100
⇒ 18000 – 15x + 14x = 172*100
x = Rs. 800

8. A cube of side 6cm is cut into a number of cubes, each of side 2cm. The number of cubes will be:
(a) 6
(b) 9
(c) 12
(d) 27

9. P can do a piece of work in 10 days, which Q can finish in 15 days. If they work on alternate days with P beginning, in how many days the work will be finished?
(a) 12 days
(b) 18 days
(c) 10 days
(d) 6 days
P’s1 days work = 1/10, Q’s 1 days work = 1/15
They are working in alternative days.
So, ( P + Q )’s two days work = ( 1/10 + 1/15) = 1/6
Number of days to finish the work = (2 x 1)/ 1/6 = 12

10. Three years ago the average age of A and B was 18 years. With C joining them now, the average becomes 22 years. How old is C now ?
(a) 24 years
(b) 27 Years
(c) 28 years
(d) 30 years
(A+B)’s age 3 years ago    = (18 x2) years = 36 years
(A+B) now = (36+3+3+) years  = 42 years
(A+B+C) now = (22×3) years       = 66 years
C now = (66-42) years             = 24 years