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# Maths Questions for CTET Exam 2017

Q1. A train covers a distance A and B in 45 minutes. If the speed is decreased by 5 km/hr, then it takes 48 minutes to cover the same distance. Find the distance between A and B (in km.) and the speed of a train?
(a) 60 km, 75 km/hr
(b) 60 km, 80 km/hr
(c) 40 km, 80 km/hr
(d) 70 km, 75 km/hr
Q2.A train covers a distance between A and B in 48 minutes. The another train having speed 6 km/hr. less than the first train covers the distance B to A in 60 minutes. Find the distance between A and B?
(a) 24 km
(b) 48 km
(c) 40 km
(d) 15 km

Q3. The speed of two trains are in the ratio 7 : 9. They are moving in the opposite directions on parallel tracks. The first train crossed a telegraph pole in 4 seconds whereas the second train crossed the same pole in 6 seconds. Find the time taken by the train to cross each other completely.
(a) 2 1/6seconds
(b) 3 1/6seconds
(c) 4 2/8seconds
(d) 5 1/8seconds

Q5. A book vendor sold a book at a loss of 20%. Had he sold it for Rs. 108 more, he would have earned a profit of 30%. Find the cost price of the book?
(a) Rs. 216
(b) Rs. 648
(c) Rs. 240
(d) Rs. 432

Q6. The effective annual rate of interest, corresponding to a nominal rate of 6% per annum payable half yearly at compound interest.
(a) 6.06%
(b) 6.07%
(c) 6.08%
(d) 6.09%

Q7. If x, y, z are three sum of money such that y is the simple interest on x and z is the simple interest on y for the same time and at the same rate of interest. Then we have:
(a) x^2=xy
(b) xyz = 1
(c) x^2=y^2
(d) y^2=zx

Q8. At certain rate of simple interest Rs. 1600 amounted to Rs. 1840 in 5 years. If the rate of interest be decreased by 3%, what will be the amount after 5 years?
(a) 1720
(b) 1680
(c) 1600
(d) Not possible

Q9. The difference between the interest received from two different banks on 450 for 4 years is Rs. 18. Find the difference between their rates?
(a) 2%
(b) 1%
(c) 1.5%
(d) 3%

Q10. A sum of money lent out at simple interest amounts to Rs. 460 in 3 years while in 5 years it amount to Rs. 500. Find the rate of interest?
(a) 6%
(b) 5%
(c) 4%
(d) 3%
Solutions: