Q1. My sister was born 26 yrs after my mother was born and I was born 28 yrs after my father was born. The present average age of my family is 32.5 yrs. After 3 yrs from now my sister will get married and will leave the family, then average age of family will become 41 yrs. What is the present age of my mother?(in yrs)
(a) 40
(b)50
(c) 45
(d)41
(e)42
Q2.A, B and C started a business by investing (⅓)rd, (⅙)th and (½)nd of the total capital respectively. After (⅙)th of the total time, C withdrew his capital completely and after (⅓)rd of the total time B completely withdrew his capital. A kept his capital for the full period. The ratio in which total profit (A:B:C) is to be divided amongst the partners is
(a) 12:2:3
(b)12:3:2
(c) 12:6:5
(d)12:7:4
(e)none of these
Q3. A boat can row 10 km in 5/6th of an hour in down-stream and12 km in upstream in 90 minutes. Find the speed of stream and speed of boat in still water.(in kmph)
(a) 12,2
(b)16,4
(c) 4,8
(d)2,8
(e)2,10
Q4.A bag contains 4 white and 6 black balls; another bag contains 4 white and 4 black balls. From any one of these bags a single draw of two balls is made. Find the probability that one of them would be white and other black ball.
(a) 29/105
(b)58/105
(c) 29/210
(d)none of these
(e)44/105
Q5.In a stockpile of products produced by two machines M1 & M2, 40% was manufactured by M1. 10% of the products of M1 are defective & 95% of products of M2 are not defective.What is the % of defective products in the stockpile?
(a) 14%
(b)12%
(c) 7%
(d)9%
(e)5%
Q6. Two varieties of wheat is mixed in the ratio of 2:3 by weight. The price of the mixture is Rs.12/kg and the price of the variety having lower weight is Rs 10/kg. Find the price per kg of the other variety.(in Rs)
(a) 35/3
(b)50/3
(c) 38/3
(d)47/3
(e)40/3
Q7. How many different 4-digit numbers are there which have the digits 1, 2, 3, 6, 7 and 0 such that always the digit 3 appears exactly once in the number?(repetition is allowed)
(a) 350
(b)300
(c)500
(d) 625
(e)425
Q8. A bag contains 5 white, 4 red and 6 yellow balls. If three balls are drawn out of it at random, find the probability of drawing exactly 2 white balls.
(a) 20/91
(b) 40/91
(c)55/93
(d) 23/91
(e)none of these
Q9. A and B undertake to do a piece of work for Rs.999. A can do it in 10 days and B can do it in 15 days. With the help of C, they finish it in 4 days. How much should C be paid for his contribution? (in Rs.)
(a)350
(b)420
(c)333
(d) 330
(e)300
Q10. Ayush bought a laptop under the following scheme: Down payment of Rs.14,000 and the rest amount at 8% per annum S.I for 2 years. In this way, he paid Rs.29,080 in total. Find the actual price of the laptop.
(a) 25500 rs
(b) 27000 rs
(c)24000 rs
(d) 26500 rs
(e)25000 rs
Q11. Two banks are located on a river and are 28 km apart. Leaving one of the bank of the river for the other, a boat returns to the first bank of the river in 370 minutes, spending 40 min of that time in taking the passengers at the second bank of the river. Find the speed of the boat in still water if the speed of the river flow is 3 km/h?(in kmph)
(a) 8
(b) 7
(c)6
(d) 9
(e)11
Q12. A man travels from point P to Q at 90 km/hr and from Q to R at 60 km/hr. The total distance between P to R is 200 km. If his average speed is 75 km/hr, then find distance between P and Q?(in Km)
(a) 140
(b) 120
(c) 150
(d) 180
(e) 200
Q14. The ratio of the length and the breadth of a rectangle is 15:8 and the area of the rectangle is 1080 sq.cm. what is the perimeter of the rectangle?
(a) 138 cm
(b) 120 cm
(c) 150 cm
(d) 148 cm
(e) 130 cm
Q15. The cost price of 50 items is equal to the marked price of 30 items. If no profit or loss is made in selling those items, then what is the percentage discount provided?
(a) 50 %
(b) 45 %
(c) 55 %
(d) 40 %
(e) 35 %
Solutions