Q1. A thief is spotted by a policeman from a distance of 350 metre. When the policeman starts the chase, the thief also starts running. how far the thief would have run, before he is over- taken Given that speed of the policeman as 7 km/h and that of the thief as 5 km/h?
(a) 875 metres
(b) 700 metres
(c) 1050 metres
(d) 525 metres
Q2. A does 75% of a work in 25 days. After that Z joined and they together finish the remaining work in 5 days. In how many days Z can complete the whole work alone?
(a) 50 days
(b) 80 days
(c) 24 days
(d) 37.5 days
Q3. The average of 29 consecutive even integers is 60. The highest of these integers is
(a) 88
(b) 118
(c) 176
(d) 120
Q4. What should be added to 5(2x-y) to obtain 4(2x – 3y) + 5(x + 4y)?
(a) 3x – 13y
(b) 3x + 13y
(c) 13x – 3y
(d) 13x + 3y
Q5. If 3(2 – 3x) < 2 – 3x ≥ 4x – 6; then x can take which of the following values?
(a) 2
(b) -1
(c) -2
(d) 1
Q6. If sec2A + cosec2A = X, then the value of X is
(a) tan2A cot2A
(b) sinA cosA
(c) secA cosecA
(d) sec2A cosec2A
Q7. The effective annual rate of interest corresponding to a nominal rate of 15% per annum payable half-yearly is
(a) 15.56 percent
(b) 30 percent
(c) 31.13 percent
(d) 15 percent
Q8. If (4x – 3) – (2x + 1) = 4, then the value of x is
(a) 0
(b) 1
(c) 4
(d) 3
Q9. What is the effective discount of two successive discount 25% and 10 % ?
(a) 35.75 percent
(b) 32.5 percent
(c) 35 percent
(d) 12.5 percent
Q10. Which of the following equations has real and distinct roots?
(a) 3×2 – 6x + 2 = 0
(b) 3×2 – 6x + 3 = 0
(c) x2 – 8x + 16 = 0
(d) 4×2 – 8x + 4 = 0
Solutions:
