Q1. The average income of a person for the first 6 days is Rs. 29, for the next 6 days it is Rs. 24, for the next 10 days it is Rs. 32 and for the remaining days of the month it is Rs. 30. Find the average income per day (Assume month is of 30 days).
(a) Rs. 31.64
(b) Rs. 30.64
(c) Rs. 29.27
(d) Rs. 34.27
(e) Rs. 32.27
Q2. A man covers half of his journey by train at 60 km/hr, half of the remainder by bus at 30 km/hr and the rest by cycle at 10 km/hr. Find his average speed during the entire journey.
(a) 36 kmph
(b) 30 kmph
(c) 18 kmph
(d) 24 kmph
(e) 28 kmph
Q3.Some amount was lent at 6% per annum at simple rate of interest. After one year, Rs. 6800 is repaid and the rest of the amount is repaid at 5% per annum. If the second year’s interest is 11/20 of the first year’s interest, find what amount of money was lent out.
(a) Rs. 17,000
(b) Rs. 16,800
(c) Rs. 16,500
(d) Rs. 17,500
(e) Rs. 18,000
Q4. How many kg of tea worth Rs. 25 per kg must be blended with 30 kg of tea worth Rs. 30 per kg so that by selling the blended variety at Rs. 30 per kg there should be gain of 10% ?
(a) 30 kg
(b) 36 kg
(c) 32 kg
(d) 42 kg
(e) 34 kg
Q5. 6 men can complete a piece of work in 12 days. 8 women can complete the same piece of work in 18 days whereas 18 children can complete the piece of work in 10 days. 4 men, 12 women and 20 children work together for 2 days. If only men were to complete the remaining work in 1 day how many men would be required totally ?
(a) 36
(b) 24
(c) can’t be determined
(d) 35
(e) None of these
Directions (6-10): For the two given equations I and II.
Given (a) If p is greater than q.
Given (b) If p is smaller than q.
Given (c) If p is equal to q or no relation between p and q.
Given (d) If p is either equal to or greater than q.
Given (e) If p is either equal to or smaller than q.
Q6. I. 2p² + 40 = 18p
II. q² = 13 q – 42
Q7. I. p² + 24 = 10p
II. 2q² + 18 = 12q
Q8. I. q² + q = 2
II. p² + 7p + 10 = 0
Q9. I. p² + 16 = 8p
II. 4q² + 64 = 32q
Q10. I. 2p² + 12p + 16 = 0
II. 2q² + 14q + 24 = 0
Directions (11-15): What will come in place of question mark (?) in the following questions?
Q11. 8743 + 486 ÷ 18 × 148 = ?
(a) 13729
(b) 12739
(c) 12729
(d) 13279
(e) 14279
Q12.6348 + 8515 – 695 – ? = 4312 + 2162
(a) 7394
(b) 7943
(c) 7439
(d) 7434
(e) 7694
Q13. 18.6 × 3 + 7.2 – 16.5 = ? + 21.7
(a) 35.7
(b) 21.6
(c) 24.8
(d) 27.6
(e) 33.6
Q14. 56% of 225 + 20% of 150 = ? – 109
(a) 149
(b) 103
(c) 253
(d) 247
(e) 265
Q15. 80% of 650 – 25 % of ? = 60% of 440
(a) 1210
(b) 1024
(c) 1035
(d) 1004
(e) 1008