Q1. A man bought 30 defective machines for Rs. 1000. He repaired and sold them @Rs. 300 per machine. He got profit of Rs. 150 per machine. How much did he spend on repairs?
(a) 5500
(b) 4500
(c) 3500
(d) 2500
(e) None of these
Q2. If Aman borrowed same amount as Babu from Arunoday at same rate of interest for 3 years at simple interest while Babu borrowed at compound interest compounded annually at same rate and time period and the difference between their interest is Rs. 992.25 then find the rate pcpa if Aman borrowed Rs. 14,000.
(a) 15%
(b) 10%
(c) 5%
(d) 12%
(e) None of these
Q3. In an examination the percentage of students qualified to the number of students appeared from school ‘A’ is 70%. In school ‘B’ the number of students appeared is 20% more than the students appeared from school ‘A’ and the number of students qualified from school ‘B’ is 50% more than the students qualified from school ‘A’. What is the percentage of students qualified to the number of students appeared from school ‘B’?
(a) 87.5%
(b) 75%
(c) 85.5%
(d) 77.5%
(e) None of these
Q4. Pipe A, B and C are kept open and fill a tank in t minutes. Pipe A is kept open throughout, Pipe B is kept open for the first 10 minutes and then closed. Two minutes after Pipe B is closed, pipe C is opened and is kept open till the tank is full. Each pipe fills as equal share of the tank. Furthermore, it is known that if pipe A and B are kept open continuously, the tank would be filled completely in t minutes. How long will C alone take to fill the tank?
(a) 18
(b) 36
(c) 27
(d) 24
(e) 20
Q5. The average age of a couple was 24 years. After their 1st and 2nd children(twins) were born, the average age of the family became 13.5 years. The average age of the family just after 3rd child was born was 13.2 years. The average age of the family after 4th child was born was 16 years. The current average age of the family is 19 years. What is the current age of the twin children?
(a) 14 years
(b) 15 years
(c) 11 years
(d) 12 years
(e) None of these
Q6. There are 500 rooms in a multi-floored hotel. However, due to a change in rule, the hotel was to decrease the number of floors by 5. However, the management is able to put 5 more rooms in each floor. Overall, the number of rooms in the hotel decreases by 10%. Find the number of floors and the number of rooms/floor the hotel originally had?
(a) 10 floors 50 rooms
(b) 20 floors 20 rooms
(c) 20 floors 25 rooms
(d) 50 floors 25 rooms
(e) Cannot be determined
Q7. A, B and C start from the same place and travels in same direction at speeds of 20, 30 and 40 kmph respectively. B starts 3 hour after A. If B and C overtake A at the same instant. How many hours after A did C start?
(a) 4
(b) 3.25
(c) 4.5
(d) 5.5
(e) None of these
Q8. Sameer went from Delhi to Kanpur via Agra by car. The distance from Delhi to Agra is 1/2 times the distance from Agra to Kanpur. The average speed from Delhi to Agra was one –third time as much as that from Agra to Kanpur. The average speed for the entire journey was 60 kmph. What was the average speed from Agra to Kanpur?
(a)1.15 kmph
(b)90 kmph
(c)120 kmph
(d)100 kmph
(e)None of these
Q9. Out of the 75 students enrolled in the Economics class, 12% did not qualify to take the final examination on account of lack of attendance. Of those who qualified to take the test, 9.09% absented themselves from the exam. Two thirds of those who took the exam passed the examination. 75% of those who passed secured a first class in the paper. How many students who passed the exam scored less than first class?
(a) 15
(b) 10
(c) 12
(d) 16
(e) None of these
Q10. P, Q and R are three towns on a river which flows uniformly. Q is equidistant from P and R. A man rows from P to Q and returns in 10 h. He can row from P to R in 4 h. What is the ratio of speed of the man in still water to the speed of the current?
(a) 5 : 3
(b) 3 : 5
(c) 2 : 5
(d) 1 : 2
(e) None of these
Q11. A, B and C can walk at the rates of 3,4 and 5 km an hour respectively. They start from Poona at 1,2,3 o’clock respectively. When B catches A, B sends him back with a message to C. When will C get the message?
(a) 5:15
(b) 5:20
(c) 5 : 30
(d) 6:00
(e) None of these
Q12. At Gorakhnath Temple there are some magical bells which toll 18 times a day simultaneously. But every bell tolls at a different interval of time, but not in fraction of minutes. What is the maximum number of bells in the temple?
(a) 18
(b) 10
(c) 24
(d) 29
(e) None of these
Q13. A student of 5th standard started writing down the counting numbers as 1,2,3,4,…… and then he added all those numbers and got the result 500. But when Varsha checked the result she found that he had missed a number. What is the missing number?
(a) 30
(b) 32
(c) 28
(d) 25
(e) None of these
Q14. Anjali and Shivani fired 45 shots each. Total 66 bullets hit the target and the remaining bullets missed it. How many times does the Anjali hit the target if it is known that the number of hits per one miss shown by the Anjali is twice that of Shivani ?
(a) 30
(b) 36
(c) 40
(d) 35
(e) None of these
Q15. One day very early morning, Anjali went to temple to offer some flowers as a part of puja. She purchased some flowers but the seller offered her that if she would give him all his Rs. 2, she could get all the remaining 6 flowers and thus could gain Rs. 60 paise per dozen. If each time the transaction is possible only in rupees then how many flowers did Anjali purchase initially?
(a) 6
(b) 3
(c) 4
(d) 12
(e) None of these
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