Q1. If x² – 5y²= 1232, how many pairs are possible for (x, y) (x, y are integers)
(a) 2
(b) 3
(c) 1
(d) 0
S1. Ans.(d)
Q2. If x + y + z = 0, then what is the value of (3y² + x² + z²)/2y² – xz?
(a) 2
(b) 1
(c) 3/2
(d) 5/3
S2. Ans.(a)
Q3. Divide 37 into two parts so that 5 times one part and 11 times the other are together 227, find both the part?
(a) 15, 22
(b) 20, 17
(c) 25, 12
(d) 30, 7
S3.Ans. (d)
Q4. 84 Maths books, 90 Physics books and 120 Chemistry books have to be stacked topic wise. How many books will be there in each stack so that each stack will have the same height too?
(a) 12
(b) 18
(c) 6
(d) 21
S4.Ans. (c)
Q5. A fruit seller sold big, medium and small sized apples for Rs. 15, Rs. 10 and Rs. 5 respectively. The total number of apples sold were in the ratio 3: 2: 5. Find the average cost of an apple?
(a) Rs. 8
(b) Rs. 9
(c) Rs. 10
(d) Rs. 7
S5.Ans. (b)
Q6. A dishonest milkman buy some milk at Rs. 10/lt. and mixed 5lt. water to this milk and then sold it Rs. 12/lt. and gains 30% profit. Find the quantity of milk that he bought.
(a) 70lt
(b) 75lt
(c) 50lt
(d) 60lt
S6. Ans.(d)
Q7. Two chords AB & CD of a circle intersects at E and are perpendicular to each other segment EA, EB, & ED are of length 2, 6 & 3cm respectively. Find the length of EC.
(a) 3
(b) 4
(c) 7
(d) 8
S7. Ans.(b)
Q8. A person estimated his tour for Rs. 360. If he exceed his tour programme by 4days he must cut down his daily expense by Rs. 3per day. For how many days did he plan for tour programme?
(a) 15
(b) 20
(c) 18
(d) 12
S8. Ans.(b)
Q9. In a ∆ABC, the bisector of ∠ B and ∠C meet at point O within the triangle, If ∠A is 144°, then the measure of ∠BOC.
(a) 162°
(b) 158°
(c) 178°
(d) 160°
S9. Ans.(a)
Q10. A hemispherical bowl has internal radius of 6 cm. The internal surface area would be? (Take π = 3.14)
(a) 225 cm²
(b) 400 cm²
(c) 289.75 cm²
(d) 226.08 cm²
S10.Ans. (d)
Q11. The circumcenter, incentre, orthocenter and the centroid of a triangle are one and the same point. The triangle must be?
(a) Isosceles triangle
(b) Right angel triangle
(c) Right angel isosceles triangle
(d) Equilateral triangle
S11.Ans. (d)
Q12. Akshay runs twice as fast as Bhuvan and Bhuvan runs thrice as fast as Chirag. The distance covered by Chirag in 72 minutes, will be covered by Akshay in?
(a) 12 min.
(b) 16 min.
(c) 18 min.
(d) 24 min.
S12.Ans. (a)
Q13. If Sec 4θ = Cosec (θ + 20°), θ then is equal to?
(a) 22°
(b) 18°
(c) 14°
(d) 20°
S13.Ans. (c)
Q14. A train travelling at 44 km/h crosses a man walking with a speed of 8 km/h, in the same direction, in 15 seconds. If the train crosses a woman coming from the opposite direction in 10 seconds, then what is the speed (In km/h) of the woman?
(a) 10.5 km/hr.
(b) 10 km/hr.
(c) 9 km/hr.
(d) 8.5 km/hr.
S14.Ans. (b)
Q15. A certain number of persons can complete a work in 34 days working 9 hours a day. If the number of persons is decreased by 40%, then how many hours a day should the remaining persons work to complete the work in 51 days?
(a) 9
(b) 8
(c) 12
(d) 10
S15.Ans. (d)
Q16. The difference between the compound interest and simple interest on Rs x at 8% per annum for 2 years is Rs 19.20. What is the value of x?
(a) 2,500
(b) 2,800
(c) 3,000
(d) 3,200
S16.Ans. (c)
Q17. When an article is sold for Rs 355, there is a loss of 29%. To gain 21%, it should be sold for Rs?
(a) 629.20
(b) 580.80
(c) 605
(d) 635
S17.Ans. (c)
Q18. The price of a commodity is increased by 36% and the quantity purchased is decreased by 30%. What is the percentage increase/decrease in the amount spent on the commodity?
(a) 4.8% increase
(b) 4.8% decrease
(c) 6% increase
(d) 6% decrease
S18.Ans. (a)
Q19. If a: b = 5:7, then (5a – 3b): (4a – 2b) is equal to?
(a) 2: 3
(b) 5: 4
(c) 4: 3
(d) 3: 2
S19.Ans. (a)
Q20. The average of the first 101 ______ numbers is equal to 102?
(a) Odd
(b) Even
(c) Natural
(d) Perfect square
S20.Ans. (b)
Sol. The average of n even numbers is always (n+1).
