Q1. There are four hotels in a town. If three men check into the hotels in a day then what is the probability that all of them do not check into the same hotel?
(a) 15/16
(b) 63/64
(c) 3/64
(d) 1/16
(e) 1/4
Q2. Two letters are chosen out of the alphabets of the English language. Find the probability that both the letters are vowels.
(a) 2/65
(b) 3/65
(c) 1/65
(d) 3/5
(e) 7/65
Q3. A number is selected at random from the first 50 natural numbers. What is the probability that it is either a multiple of 7 or a multiple of 9?
(a) 3/25
(b) 6/25
(c) 9/50
(d) 1/5
(e) 11/50
Q4. Ratio of speed of Sakshi and Priya to cover a distance is 3 : 4. If Priya covers the distance 30 minutes earlier then Sakshi, then find the time taken by Sakshi to cover the distance.
(a) 3 hours
(b) 2.5 hours
(c) 1 hours
(d) 1.5 hour
(e) 2 hours
Q5. Car A leaves Delhi at 5pm travelling at 40 kmph. Car ‘B’ travelling in same direction as Car A, leaves Delhi after 2 hours of Car ‘A’. At what time will Car ‘B’ crosses Car ‘A’ if Car ‘B’ travels at 60 kmph?
(a) 10 pm
(b) 7 pm
(c) 11 pm
(d) 9 pm
(e) 8 pm
Q6. Present age of Ram is three times of his son’s present age and two-third of his father’s present age. At present, the average age of all of them is 34 years. What is the difference between present age of Ram’s son and his father’s age?
(a) 36 yrs
(b) 42 yrs
(c) 48 yrs
(d) 54 yrs
(e) 52 yrs
Q7. ‘X’, ‘Y’ and ‘Z’ together can complete a work in one day. ‘X’ and ‘Z’ together can do same work as ‘Y’ alone do while ‘Y’ and ‘Z’ together can do five time as much work as ‘X’ do alone. Find the time taken by ‘Z’ to complete the work.
(a) 2 days
(b) 3 days
(c) 4 days
(d) 6 days
(e) 1 days
Q8. A and B can complete a piece of work in 6 days, B and C in 8 days and A and C together can finish it in 12 days. If they work together and A leaves the work after 4 days, then how many days B and C will take to complete the remaining work ?
(a) 4 days
(b) 5 days
(c) 3 days
(d) 6 days
(e) 2 days
Q9. 21 men can do a piece of work in 15 days and 35 women can do a piece of work in 11 days. With the same efficiency 18 men and 20 women can do another piece of work in ‘(Y – 4)’ days and ‘Y’ days respectively. Find the value of Y?
(a) 40
(b) 44
(c) 35
(d) 38
(e) 39
Q10. Bhavya is 25% more efficient than Satish while Aman is 40% less efficient than Bhavya. If Satish alone can complete the work in 15 days then in how many days Bhavya and Aman together can complete the work.
(a) 8 days
(b) 7.5 days
(c) 6 days
(d) 5 days
(e) 5 days
Q11. A, B and C can complete a work in 24 days, 15 days and 20 days respectively. If they all work together till the completion of work, find the share of B’s wage if total wage earned by three of them is Rs. 950?
(a) Rs. 480
(b) Rs. 300
(c) Rs. 400
(d) Rs. 450
(e) Rs. 360
Q13. Rita is 3/4 times of her friend Kapil’s age and Manish is 5/3 times of Rita’s age. After 10 years, the ratio of Manish, Rita and Kapil’s age is 15 : 11 : 13. Find Rita’s age 5 years ago ?
(a) 6 yrs
(b) 8 yrs
(c) 9 yrs
(d) 7 yrs
(e) 5 yrs
Q14. 16 men and 3 women can complete a piece of work in 20 days by working 4 hours each while 4 men, 13 women and 6 children can complete the same piece of work in 10 days by working 8 hours each. If women are 10% less efficient than men, then find how much more/less percent efficient children are in comparison to man ?
(a) 50% more
(b) 30% more
(c) 30% less
(d) 50% less
(e) 75% less
Q15. In how many different ways can the words be formed using letters of word CAREER such that no consonant occupy even position?
(a) 36
(b) 9
(c) 5
(d) 18
(e) 12
Q16. A boat can row 20 km upstream in the same time as the boy covers 10 km distance between home and office and then return home with an average speed of 4 km/hr. If the downstream speed of boat is four times speed of current, find speed of boat in still water (in km/hr) ?
(a) 4
(b) 5
(c) 6
(d) 3
(e) 8
Q17. Swati married 6 years ago. Her son was born 3 years after marriage. Presently, she is 9/7 times of her married age. Find ratio of her son age after 10 years to her age at the time of marriage.
(a)13/21
(b) 12/19
(c) 11/21
(d) 13/24
(e) 13/17
Q18. Two pipes can fill a tank in 15 hours and 20 hours respectively, while the third pipes can empty it in 30 hours. If all the pipes are opened simultaneously, the empty tank will be filled in
(a) 10 hours
(b) 12hours
(c) 15 hours
(d) 15 1/2hours
(e) 14 hours
Q19. Prachi’s age 6 years ago was 3/2 times Yashi’s age 2 year hence. The ratio between Prachi and Yashi’s age 8 year hence will be 16 : 9. Find present age of Yashi’s brother if he is 2 year elder than Yashi?
(a) 16 yrs
(b) 14 yrs
(c) 10 yrs
(d) 12 yrs
(e) 20 yrs
Q20. 20 men and 35 women can complete a piece of work in ‘y’ and ‘y – 3’ days respective while 15 men and 20 women can complete same piece of work in ‘x – 4’ and ‘x’ days respectively. If men are 60% more efficient than women then find difference between X and Y.
(a) 11
(b) 21
(c) 14
(d) 12
(e) 15
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