Maths Quiz for 2016-17 Exams

1.What is the least number of square tiles required to pave the floor of a room 9 m 99 cm long and 4 m 7 cm broad?
(a) 247  
(b) 277  
(c) 297  
(d) 307
Side of tiles = HCF of 999 cm and 407 cm
= 37
so Required no. of tiles = (999 * 407)/ (37 * 37) = 297

2.A person bought 5 tickets from a station P to a station Q and 10 tickets from the station P to a station R. He paid Rs. 350/-. If the sum of a ticket from P to Q and a ticket from P to R is Rs. 42/- then what is the fare from P to Q?
(a) Rs. 12/-  
(b) Rs. 14/-  
(c) Rs. 16/-  
(d) Rs. 18/-
Let the fare from p to Q = Rs. X
And the fare form P to R = Rs. Y
According to question,
5x + 10y = 350 …….(i)
x + y = 42 ……………..(ii)
Solving (i) and (ii), we get
x = Rs. 14/-  y = Rs.  28/-

3.A trader marked a watch 40% above the cost price and then gave a discount of 10%. He made a net profit of Rs. 468/- after paying a tax of 10% on the gross profit. What is the cost price of the watch?
(a) Rs. 1,200/-  
(b) Rs. 1,800/-  
(c) Rs. 2, 000/–  
(d) Rs. 2,340/-
let cost price =x
marked price = x * 140/100 = 14x/10
Selling price = 14x/10 * 90/100
= 126x/100
profit= sp-cp = 126x/100 – x= 26x/100
Net profit = 26x/100 * 90/100
so 468 = (26*90)/(100*100)x
x = 2000

4.The sum of two number is 80. If the larger number exceeds four times the smaller by 5, what is the smaller number?
(a) 5  
(b) 15  
(c) 20  
(d) 25
Let smaller number = x
so Larger number = 80 – x
According to question,
80 – x = 4x + 5
5x = 75
=> X = 15

5.If salary of X is 20% more than salary of y, then by how much percentage of salary of y less than X?
(a) 25
(b) 20  
(c) 50/3
(d) 65/4
Let salary of x = Rs.x
Salary of y = x*100/120
= Rs. 10x/12
Salary of X – salary of Y = x – 10x/12 = 2x/12 = x/6
so Required salary = x/6 * 100 = 50/3%

6.Two vessels are full of milk with water ratio 1 : 3 and 3 : 5 respectively. If both are mixed in the ratio 3 : 2, what is the ratio of milk and water in the new mixture?
(a) 4 : 15
(b) 3 : 7  
(c) 6 : 7
(d) 3 : 10
By law of mixture
1/4          3/8


     x

3                2

so (3/8 -x)/(x-1/4) = 3/2
3/4-2x=3x-3/4
5x=6/4 = 3/2 =>x = 3/10

7.The ratio between the ages of A and B is 2 : 5. After 8 year, their ages will be in the ratio 1 : 2. What is the difference between their present ages?
(a) 20 year  
(b) 22 year
(c) 24 year
(d) 25 year
Let A’s age = 2x
so B’s age = 5x
According to question,
(2x + 8)/(5x + 8) = 1/2
4x + 16 = 5x + 8
X = 8
so Required differecne = (5x – 2x)
= 3x
= 3 * 8 = 24 years

8.A person borrowed Rs. 7, 500/- at 16% compound interest. How much does he have to pay at the end of 2 years to clear the loan?
(a) Rs. 9, 900/-
(b) Rs. 10, 092/-
(c) Rs. 10, 902/-  
(d) Rs. 10, 920/-
A = P (1 + r/100)^n
A = 7500 (1 + 16/100)^2
= 7500 * 29/25 * 29/25
= Rs. 10,092

9.A can do a piece of work in 24 days. If B is 60% more efficient than A. then how many days does B require to do the same work?
(a) 12  
(b) 15  
(c) 16  
(d) 18
A’s one day work = 1/24
so B’s one day work = 1/24 * 160/100 = 1/15
so B’s can do a piece of work in 15 days.

10. The dimensions of a rectangular box are in the ratio 2 : 3 : 4 and the difference between the cost of covering it with a sheet of some metal at Rs. 8/- and Rs. 10/- per sq m is Rs. 234/-. What are the length, breadth and height of the box respectively?
(a) 2 m, 3 m, 4 m
(b) 3 m, 4.5 m, 6 m
(c) 4 m, 6 m, 8 m
(d) 5 m, 7.5 m, 10 m
Let the  dimensions by 2x, 3x and 4x
According to question
2(2x * 3x + 3x * 4x + 4x * 2x)(10 – 8) = 234
=> 4 * 26x^2 = 234
=> X^2 = 234/104 = 2.35
X = 1.5
Dimensions are 3m, 4.5 m and 6 m.