Q1) A number divided by 56 gives 29 as remainder. If the same number is divided by 8, the remainder will be 1) 4 2) 5 3) 6 4) 7 Q2) If α + β = 90° and α:β = 2:1 then the value of is Q3) The value of is 1) 1 2) 2 3) 1/2 4) 1/4 Q4) If N, N + 2 and N + 4 are prime numbers, then the number of possible solutions for N are 1) 2 2) 1 3) 3 4) More than 3 Q5) The ratio of two numbers is 5:6 and their LCM is 480, then their HCF is 1) 20 2) 16 3) 5 4) 6 Q6) If then find the value of y 1) 0.006 2) 0.6 3) 1/6 4) 6 Q7) Next number in the series 6, 16, 36, 76, 156, 316 is 1) 636 2) 638 3) 648 4) 658 Q8) If then the value of is: 1) 2 2)  3 3) 3 4) 1 Q9) Let A be a pyramid on a square base and B be a cube. If a, b and c denote the number of edges, number of faces and number of corners respectively. Then, the result a = b + c is true for 1) only A 2) only B 3) both A and B 4) neither A nor B Q10) In ∆ ABC, D and E are points on sides AB and AC, such that DEBC. Find x if 1) 4 2) 1 3) 8 4) 2 Q11) A number increased by 125% and the increment is 50. The number is: 1) 45 2) 90 3) 30 4) 40 Q12) The price of two articles are as 3:4. If the price of the first article is increased by 10% and that of the second by Rs 4, original ratio remains the same. The original price of the second article is 1) 35 2) 10 3) 30 4) 40 Q13) What annual payment will discharge a debt of Rs 1696 in 4 years at 4% per annum? 1) 425 2) 525 3) 400 4) 325 Q14) A person distributes his pens among four friends P, Q, R and S in the ratio What is the minimum number of pens a person should have. 1) 60 2) 63 3) 57 4) 75 Q15) A cube has each edge 2 cm and a cuboid is 1 cm long, 2 cm wide and 3 cm high. The paint in a certain container is sufficient to paint an area equal to 54 sq. cm. Which of the following is correct? 1) Both cube and cuboid can be painted. 2) Only cube can be painted. 3) Only cuboid can be painted. 4) Neither cube nor cuboid can be painted. Q16) A, B and C entered into partnership in a business. A got 3/5 of the profit. B and C distributed the remaining profit equally. If C got Rs 400 less than A, the total profit was 1) 1200 2) 1600 3) 1000 4) 800 Q17) In a garrison, there was food for 1000 soldiers for one month. After 10 days, 1000 more soldiers joined the garrison. How long would the soldiers be able to carry on with the remaining food? 1) 20 days 2) 10 days 3) 15 days 4) 25 days Q18) 7 yr ago, the ages of A and B were in the ratio 4:5 and 7 yr hence, they will be in the ratio 5:6. The present age of B is 1) 63 yr 2) 56 yr 3) 70 yr 4) 77 yr Q19) The minimum value of is: 1) 1/2 2) 3/5 3) 3/4 4) 2/3 Q20) A vertical stick 12 m long casts a shadow 8 m long on the ground. At the same time, a tower casts a shadow of 40 m long on the ground. The height of the tower is 1) 60 m 2) 30 m 3) 72 m 4) 54 m 1) 2 2) 1 3) 1 4) 2 5) 2 6) 4 7) 1 8) 3 9) 4 10) 1 11) 4 12) 4 13) 3 14) 3 15) 1 16) 3 17) 2 18) 4 19) 3 20) 1
2) α = 60°; β = 30°
