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Instruction:
 Total number of questions : 20.
 Time alloted : 30 minutes.
 Each question carry 1 mark, no negative marks.
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1.  The least number which when divided by 5, 6 , 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder, is: 

Your Answer: Option (Not Answered) Correct Answer: Option B Explanation: L.C.M. of 5, 6, 7, 8 = 840. Required number is of the form 840k + 3 Least value of k for which (840k + 3) is divisible by 9 is k = 2. Required number = (840 x 2 + 3) = 1683. Learn more problems on : Problems on H.C.F and L.C.M Discuss about this problem : Discuss in Forum 
2. 


Your Answer: Option (Not Answered) Correct Answer: Option A Explanation:
Learn more problems on : Decimal Fraction Discuss about this problem : Discuss in Forum 
3.  617 + 6.017 + 0.617 + 6.0017 = ? 

Your Answer: Option (Not Answered) Correct Answer: Option C Explanation: 617.00 6.017 0.617 + 6.0017  629.6357  Learn more problems on : Decimal Fraction Discuss about this problem : Discuss in Forum 
4. 


Your Answer: Option (Not Answered) Correct Answer: Option C Explanation:
Learn more problems on : Square Root and Cube Root Discuss about this problem : Discuss in Forum 
5.  The captain of a cricket team of 11 members is 26 years old and the wicket keeper is 3 years older. If the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. What is the average age of the team? 

Your Answer: Option (Not Answered) Correct Answer: Option A Explanation: Let the average age of the whole team by x years. 11x  (26 + 29) = 9(x 1) 11x  9x = 46 2x = 46 x = 23. So, average age of the team is 23 years. Learn more problems on : Average Discuss about this problem : Discuss in Forum 
6.  The present ages of three persons in proportions 4 : 7 : 9. Eight years ago, the sum of their ages was 56. Find their present ages (in years). 

Your Answer: Option (Not Answered) Correct Answer: Option B Explanation: Let their present ages be 4x, 7x and 9x years respectively. Then, (4x  8) + (7x  8) + (9x  8) = 56 20x = 80 x = 4. Their present ages are 4x = 16 years, 7x = 28 years and 9x = 36 years respectively. Learn more problems on : Problems on Ages Discuss about this problem : Discuss in Forum 
Each of the questions given below consists of a statement and / or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is / are sufficient to answer the given question. Read the both statements and
 
7. 


Your Answer: Option (Not Answered) Correct Answer: Option C Explanation: Let Divya's present age be D years and Shruti's present age b S years Then, D = 2 x S D  2S = 0 ....(i)
From (ii), we get : 5D + 25 = 9S + 45 5D  9S = 20 ....(iv) From (iii), we get : D  10 = 3S  30 D  3S = 20 ....(v) Thus, from (i) and (ii), we get the answer. Also, from (i) and (iii), we get the answer. I alone as well as II alone give the answer. Hence, the correct answer is (C). Learn more problems on : Problems on Ages Discuss about this problem : Discuss in Forum 
8.  (256)^{0.16} x (256)^{0.09} = ? 

Your Answer: Option (Not Answered) Correct Answer: Option A Explanation: (256)^{0.16} x (256)^{0.09} = (256)^{(0.16 + 0.09)} = (256)^{0.25} = (256)^{(25/100)} = (256)^{(1/4)} = (4^{4})^{(1/4)} = 4^{4(1/4)} = 4^{1} = 4 Learn more problems on : Surds and Indices Discuss about this problem : Discuss in Forum 
9.  Three partners shared the profit in a business in the ratio 5 : 7 : 8. They had partnered for 14 months, 8 months and 7 months respectively. What was the ratio of their investments? 

Your Answer: Option (Not Answered) Correct Answer: Option B Explanation: Let their investments be Rs. x for 14 months, Rs. y for 8 months and Rs. z for 7 months respectively. Then, 14x : 8y : 7z = 5 : 7 : 8.
Learn more problems on : Partnership Discuss about this problem : Discuss in Forum 
10.  A starts business with Rs. 3500 and after 5 months, B joins with A as his partner. After a year, the profit is divided in the ratio 2 : 3. What is B's contribution in the capital? 

Your Answer: Option (Not Answered) Correct Answer: Option D Explanation: Let B's capital be Rs. x.
14x = 126000 x = 9000. Learn more problems on : Partnership Discuss about this problem : Discuss in Forum 
Each of the questions given below consists of a statement and / or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is / are sufficient to answer the given question. Read the both statements and
 
11. 


Your Answer: Option (Not Answered) Correct Answer: Option E Explanation: Let us name Ravi, Gagan and Nitin by R, G and N respectively. I. R : G : N = 2 : 4 : 7. II. N = 8750.. From I and II, we get: When N = 7, then G = 4.
Thus, both I and II are needed to get the answer. Correct answer is (E). Learn more problems on : Partnership Discuss about this problem : Discuss in Forum 
12.  A wheel that has 6 cogs is meshed with a larger wheel of 14 cogs. When the smaller wheel has made 21 revolutions, then the number of revolutions mad by the larger wheel is: 

Your Answer: Option (Not Answered) Correct Answer: Option B Explanation: Let the required number of revolutions made by larger wheel be x. Then, More cogs, Less revolutions (Indirect Proportion) 14 : 6 :: 21 : x 14 x x = 6 x 21
x = 9. Learn more problems on : Chain Rule Discuss about this problem : Discuss in Forum 
13.  10 women can complete a work in 7 days and 10 children take 14 days to complete the work. How many days will 5 women and 10 children take to complete the work? 

Your Answer: Option (Not Answered) Correct Answer: Option C Explanation:
5 women and 10 children will complete the work in 7 days. Learn more problems on : Time and Work Discuss about this problem : Discuss in Forum 
14.  Two pipes can fill a tank in 20 and 24 minutes respectively and a waste pipe can empty 3 gallons per minute. All the three pipes working together can fill the tank in 15 minutes. The capacity of the tank is: 

Your Answer: Option (Not Answered) Correct Answer: Option C Explanation:
Volume of whole = (3 x 40) gallons = 120 gallons. Learn more problems on : Pipes and Cistern Discuss about this problem : Discuss in Forum 
15.  A train 240 m long passes a pole in 24 seconds. How long will it take to pass a platform 650 m long? 

Your Answer: Option (Not Answered) Correct Answer: Option B Explanation:
Learn more problems on : Problems on Trains Discuss about this problem : Discuss in Forum 
16.  A jogger running at 9 kmph alongside a railway track in 240 metres ahead of the engine of a 120 metres long train running at 45 kmph in the same direction. In how much time will the train pass the jogger? 

Your Answer: Option (Not Answered) Correct Answer: Option C Explanation: Speed of train relative to jogger = (45  9) km/hr = 36 km/hr.
= 10 m/sec. Distance to be covered = (240 + 120) m = 360 m.
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17.  Two goods train each 500 m long, are running in opposite directions on parallel tracks. Their speeds are 45 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one. 

Your Answer: Option (Not Answered) Correct Answer: Option B Explanation:
We have to find the time taken by the slower train to pass the DRIVER of the faster train and not the complete train. So, distance covered = Length of the slower train. Therefore, Distance covered = 500 m.
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18.  A boatman goes 2 km against the current of the stream in 1 hour and goes 1 km along the current in 10 minutes. How long will it take to go 5 km in stationary water? 

Your Answer: Option (Not Answered) Correct Answer: Option C Explanation:
Rate upstream = 2 km/hr.
Learn more problems on : Boats and Streams Discuss about this problem : Discuss in Forum 
19.  8 litres are drawn from a cask full of wine and is then filled with water. This operation is performed three more times. The ratio of the quantity of wine now left in cask to that of water is 16 : 65. How much wine did the cask hold originally? 

Your Answer: Option (Not Answered) Correct Answer: Option B Explanation: Let the quantity of the wine in the cask originally be x litres.
3x  24 = 2x x = 24. Learn more problems on : Alligation or Mixture Discuss about this problem : Discuss in Forum 
20.  A bag contains 2 red, 3 green and 2 blue balls. Two balls are drawn at random. What is the probability that none of the balls drawn is blue? 

Your Answer: Option (Not Answered) Correct Answer: Option A Explanation: Total number of balls = (2 + 3 + 2) = 7. Let S be the sample space.
Let E = Event of drawing 2 balls, none of which is blue.
Learn more problems on : Probability Discuss about this problem : Discuss in Forum 