Q1. The average age of seven boys sitting in a row facing North is 26 years. If the average age of first three boys is 19 years and the average age of last three boys is 32 years, what is the age of the boy who is sitting in middle of the row?
(a) 28 years
(b) 29 years
(c) 24 years
(d) 31 years
(e) None of these
Q2. In a mixture of milk and water the proportion of water by weight was 75%. If in the 60 gms mixture 15 gms water was added, what would be the percentage of water in the new mixture?
(a) 75%
(b) 88%
(c) 90%
(d) 100%
(e) None of these
Q3. If 36 persons are engaged on a piece of work, the work can be completed in 40 days. After 32 days, only 3/4th of the work was completed. How many more persons are required to complete the work on time?
(a) 10
(b) 8
(c) 9
(d) 12
(e) None of these
Q4. The simple interest accrued on an amount of Rs. 22,500 at the end of four years is Rs. 10,800. What would be the compound interest accrued on the same amount at the same rate at the end of two years?
(a) Rs. 14908
(b) Rs. 5724
(c) Rs. 26234
(d) Rs. 8568
(e) None of these
Q5. If the length of a rectangular field is increased by 20% and the breadth is reduced by 20%, the area of the rectangle will be 192m2. What is the area of the original rectangle?
(a) 184 m2
(b) 196 m2
(c) 204 m2
(d) 225 m2
(e) None of these
Directions (6-10): What should come in place of question mark (?) in the following number series?
Q6. 1, 1, 3, 9, 13, 65, 71, ?, 505
(a) 197
(b) 297
(c) 397
(d) 497
(e) 597
Q7. 1, 2, 6, 42, ?, 3263442
(a) 1405
(b) 1806
(c) 2135
(d) 2995
(e) 1905
Q8. 56, 57, 48, 73, 24, 105, ?
(a) –16
(b) –26
(c) 16
(d) 24
(e) None of these
Q9. 3, 1, 3, 0.75, 3, 0.6, 3, ?
(a) 3
(b) 0.5
(c) 0.6
(d) 6
(e) 0.7
Q10. 2, 5, 10, 17, 28, 41, 58, ?
(a) 67
(b) 69
(c) 73
(d) 75
(e) 77
Directions (11-15): In the following questions two equations numbered I and II are given. Solve the equation and answer the question if:
(a) x> y
(b) x ≥ y
(c) x< y
(d) x ≤ y
(e) x = y or the relationship cannot be established between x and y
Q11. I. 4x + 7y = 209
II. 12x – 14y = -38
Q12. I. (17)2 + 144 ÷ 18 = x
II. (26)2 – 18 × 21 = y
Q13. I. x2– 11x + 24 = 0
II. 2y2 – 9y + 9 = 0
Q14. I. 18x2 + 18x + 4 = 0
II. 12y2 + 29y + 14 = 0
Q15. I. 8x2 + 6x = 5
II. 12y2 – 22y + 8 = 0