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Q1. If x + y = 90°, then what is √(cos x.cosec y-cos x.sin y) equal to?
(a) cos x
(b) sin x
(c) √(cos x)
(d) √(sin x)
Q2. If p = sin^10x,then which one of the following correct for any value x?
(a) p ≥ 1
(b) 0 ≤ p ≤ 1
(c) 1 ≤ p ≤ 2
(d) None of these
Q3. If (secθ+tanθ)/(secθ-tanθ )=2(51/79) then the value of sinθ is
(a) 91/144
(b) 39/72
(c) 65/144
(d) 35/72
Q4. The value of sin^2 22°+sin^2 68°+cot^2 30° is:
(a) 5/4
(b) 3/4
(c) 3
(d) 4
Q5. The value of following is cos24°+cos55°+cos25°+cos204°+cos300° ?
(a) – 1/2
(b) 1/2
(c) 2
(d) 1
Q6. If sin A + cosec A = 3, then find the value of sin^4A+1/sin^2A .
(a) 1
(b) 0
(c) 7
(d) 0
Q7. If sin x + cos x = c, then sin^6x+cos^6x is equal to.
(a) (1+6c^2 - 3c^4)/16
(b) (1 + 6c^2 - 3c^4)/4
(c) (1 + 6c^2+ 3c^4)/16
(d) (1 + 6c^2+ 3c^4)/4
Q8. A train A leaves Delhi at 6 AM and reaches Jaipur at 10 AM. Another train B leaves Jaipur at 8 AM and reaches Delhi at 11:30 AM. At what time do the two trains cross each other?
(a) 8:56 am
(b) 8:30 am
(c) 8:00 am
(d) 8:16 am
Q9. In an election between two candidates, 75% of the voters cast their votes, out of which 4% of the votes were declared invalid. The candidate who won the election got 450 votes more than the candidate who lost the election. The ratio of votes of winner and loser is 3:2. Find the total number of votes enrolled in that election.
(a) 3100
(b) 2250
(c) 3200
(d) 3125
Q10. In an examination, 80% of students passed in English, 85% in Mathematics and 75% in both English and Mathematics. If 40 students failed in both the subjects, find the total number of students.
(a) 500
(b) 200
(c) 400
(d) 300
Q11. A dishonest dealer professes to sell his goods at cost price. But he uses a false weight and thus gains 6(18/47)%. For a kg, he uses a weight of:
(a) 940 gms
(b) 947 gms
(c) 953 gms
(d) 960 gms
Q12. Three containers have their volumes in the ratio 3 : 4 : 5. They are full of mixtures of milk and water. The mixtures contain milk and water in the ratio of (4 : 1), (3 : 1) and (5 : 2) respectively. The contents of all these three containers are poured into a fourth container. The ratio of milk and water in the fourth container is:
(a) 4 : 1
(b) 151 : 48
(c) 157 : 53
(d) 5 : 2
Q13. A sum of Rs 731 is distributed among A, B and C, such that A receives 25% more than B and B receives 25% less than C. What is C’s share in the amount?
(a)Rs 172
(b)Rs 200
(c)Rs262
(d)Rs 272
Q14.A shopkeeper mixed two verities of rice at Rs. 20/kg and Rs. 30/kg in the ratio 2 : 3 and sell the mixture at 10% profit. Find the price per kg at which he sold the mixture?
(a)Rs.26
(b)Rs.28.8
(c)Rs.28
(d)Rs.28.6
Q15. A can finish a work in 24 days, B in 9 days and C in 12 days. B and C start the work but are forced to leave after 3 days. The remaining work was done by A in:
(a) 15 days
(b) 10 days
(c) 12 days
(d) 14 days
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