Sunday, August 21, 2016

Maths from HSSC Question Papers

Q. The ratio of the ages of father and son at present is 6:1, after 5 years the ratio will become 7:2. The present age of son is-
Ans. 5 years 

Q. If 3 men or 5 women can reap a field in 43 days, how long will 5 men and 6 women take to reap it ?
Ans. 15 days 

Q. Rs. 800 amount to Rs. 920 in 3 years at simple interest. If the interest rate is increased by 3% it would amount to how much?
Ans. 992

Q. The simple interest on a sum of money is 1/9 of the principal and the number of years is equl to the rate percent per annum. The rate percent per annum is 
Ans. 1/3

Q.Abel Prize is associated with ?
Ans. Mathematics  


Q. There are two taps to fill a tank while a third to empty it , when the third tap is closed they can fill the tank in 10 minutes and 12 minutes respectively, if all the 3 taps be opened the tank is filled in 15 minutes. If the first two taps are closed in what time the third tap empty the tank when it is full?
Ans. 8 Minutes and 34 Seconds 

Q. The LCM of 2 numbers is 2310 and their HCF is 30 if one of the number is 7X30, find the other number ?
Ans. 330

Q. 10 years ago Chandrawati's mother was 4 time older then her daughter, after 10 years the mother will be twice older then her daughter. The present age of Chandrawati is ?
Ans. 20 years 

Q. A lent Rs. 600 to B for 2 years and Rs. 150 to C for 4 years and received altogether from both Rs. 90 as simple interest, the rate of interest is ?
Ans. 5%

Q. If a:b = 2:3 and b:c = 5:7 then a:c = ?
Ans. 10:21

Q. The average speed of a cyclist who covers 1st, 2nd and 3rd KM at 20, 16 and 12 KMPH respectively is ?
Ans. 15.32 KMPH

Q. The sum of all positive integrals multiples of 5 less than 100 is 
Ans. 950

Q. A piece of work done by 6 men and 5 women in 6 days or 3 men and 4 women in 10 days, it can be done by 9 men and 15 women in ...?
Ans. 3 days 

Q. If Sunil rows at the rate of five KMPH in still water and his rate against the current is 3.5 KMPH than Sunil's rate along the current is ?
Ans. 6.5 KMPH 

Q. A man is four times as old as his son. Ywenty years later he will  be just twice as old as his son. Find their present ages
Ans. 40-10 years
Q. 1.086-0.3983-0.669=
Ans. 0.0187

Q. A library has an average number of 510 visitors on Sunday and 240 on other days. The average number of visitors per day in a month of 30 days beginning with Sunday is
Ans. 285

Q. The sum of all odd numbers between 100 and 200 is
Ans. 7500

Q. Two stations A and B are 110 km apart on a straight line. One train starts from A to 7.00 am. and travels towards B at 20 kmph. Another train starts from B at 8.00 am. and travels onwards A at a speed of 25 kmph. At what time will they meet?
Ans. 10.00 am.

Q. 25/0.005=
Ans. 5000

Q. A man covers a distance from a town  to a town B on scooter at 30 kmph and rides back from B to A at 20 kmph. His average speed is
Ans. 24 kmph

Q. 12 man can complete a work in 8 days, three days after they started the work 3 more man joined in how many days will all of them together complete the remaining work. 
Ans. 4 days 

Q. Which of the following fraction is less than 7/8 and greater than 1/3
Ans. 17/24

Q. Square root of 25/15625= Square root of ?/30625
Ans. 49

Q. Add a worksite a gang of labourers undertake to finish certain activities in 8 hours unfortunately right from the start of the work 4 of them remain absent, but the rest men complete the work in 10 hours, what is the original number of workers in the gang ?
Ans.  20

Q. How many terms of the series 1+3+5+ ....must be taken in order so that the sum may be 19600?
Ans. 140

Q. Amulya alone does a piece of work in 2 days and Bindu does it in 6 days. In how many days will the two do it together ?
Ans. 3/2

Q A train M leaves Meerut at 5.00 A.M. and reaches Delhi at 9.00 A.M. Another train N leaves Delhi at 7.00 A.M. and reaches Meerut at 10.30.A.M. At what time do the two trains cross one another?
Ans. 7.56 a.m. 

Q. Three bells toll at intervals of 9, 12 and 15 minutes respectively.All the three begin to toll at 9.00 am. At what time will they again toll together?
Ans. 12.00 Noon

Q. Find two numbers whose arithmetic mean is 12.5 and geometric mean is 10
Ans. 5, 20

Q. The sum of the series  5+13+21+...+181 is 
Ans. 2139

Q. Thomas can do a piece of work in 80 days. He works at it for 10 days and then Ajay alone can finishes the remaining work in 42 days. Together they could complete the work in 
Ans. 30 days

Q. Two trains are moving in the same direction at 65 kmph and 45 kmph. The faster train crosses a man in slower train in 18 seconds. The length of the first train is ?
Ans.100 m

Q. 11 Find the HCF of 2261,  2527 and 1653 
(a) 19 (b) 29
(c) 1   (d) None of these 
Ans- A

Q.12 Ram is twice as old as Shyam. If 10 years ago Ram was 4 times as old as Shyam, what is the present age of Shyam?
(a) 12    (b) 15
(c) 30    (d) None of these 
Ans. b

Q.13 Find the sum of 40th terms of the series 3, 7, 11, 15, ....
(a) 3442   (b) 3443
(c) 3242   (d) 3240
Ans.d

Q. 14 The sum of age of a son and father is 56 year. After 4 year, the age of father will be 3 times than of the son. Find the age of son.
(a) 18 year  (b) 16 year
(c) 14 year  (d) 12 year 
Ans.d

Q. 15 Raj travels for 14 hours 40 minutes. He covers half of the journey by train at the rate of 60 KMPH and the rest by road at the rate 50 KMPH. The distance traveled by him is-
(a) 720 km (b) 800 km
(c) 960 km (d) 1000 km.

Ans. b


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