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 Total number of questions : 20.
 Time alloted : 30 minutes.
 Each question carry 1 mark, no negative marks.
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1.  Two pipes A and B together can fill a cistern in 4 hours. Had they been opened separately, then B would have taken 6 hours more than A to fill the cistern. How much time will be taken by A to fill the cistern separately? 

Your Answer: Option (Not Answered) Correct Answer: Option C Explanation: Let the cistern be filled by pipe A alone in x hours. Then, pipe B will fill it in (x + 6) hours.
x^{2}  2x  24 = 0 (x 6)(x + 4) = 0 x = 6. [neglecting the negative value of x] Learn more problems on : Pipes and Cistern Discuss about this problem : Discuss in Forum 
2.  Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is: 

Your Answer: Option (Not Answered) Correct Answer: Option B Explanation: Let the speeds of the two trains be x m/sec and y m/sec respectively. Then, length of the first train = 27x metres, and length of the second train = 17y metres.
27x + 17y = 23x + 23y 4x = 6y
Learn more problems on : Problems on Trains Discuss about this problem : Discuss in Forum 
3.  Two dice are thrown simultaneously. What is the probability of getting two numbers whose product is even? 

Your Answer: Option (Not Answered) Correct Answer: Option B Explanation: In a simultaneous throw of two dice, we have n(S) = (6 x 6) = 36.
n(E) = 27.
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Each of these questions is followed by three statements. You have to study the question and all the three statements given to decide whether any information provided in the statement(s) is redundant and can be dispensed with while answering the given question.  
4. 


Your Answer: Option (Not Answered) Correct Answer: Option C Explanation: I. Let C.P. be Rs. x.
III. S.P. = 90% of M.P.
Thus, from I and III, gain % can be obtained. Clearly, II is redundant. Learn more problems on : Profit and Loss Discuss about this problem : Discuss in Forum 
5.  The ratio of the number of boys and girls in a college is 7 : 8. If the percentage increase in the number of boys and girls be 20% and 10% respectively, what will be the new ratio? 

Your Answer: Option (Not Answered) Correct Answer: Option C Explanation: Originally, let the number of boys and girls in the college be 7x and 8x respectively. Their increased number is (120% of 7x) and (110% of 8x).
Learn more problems on : Ratio and Proportion Discuss about this problem : Discuss in Forum 
6.  What will be the compound interest on a sum of Rs. 25,000 after 3 years at the rate of 12 p.c.p.a.? 

Your Answer: Option (Not Answered) Correct Answer: Option C Explanation:
C.I. = Rs. (35123.20  25000) = Rs. 10123.20 Learn more problems on : Compound Interest Discuss about this problem : Discuss in Forum 
Insert the missing number.  
7.  1, 8, 27, 64, 125, 216, (....) 

Your Answer: Option (Not Answered) Correct Answer: Option B Explanation: Numbers are 1^{3}, 2^{3}, 3^{3}, 4^{3}, 5^{3}, 6^{3}. So, the missing number is 7^{3} = 343. Learn more problems on : Odd Man Out and Series Discuss about this problem : Discuss in Forum 
8.  If 2994 ÷ 14.5 = 172, then 29.94 ÷ 1.45 = ? 

Your Answer: Option (Not Answered) Correct Answer: Option C Explanation:
= 17.2 Learn more problems on : Decimal Fraction 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
 
9. 


Your Answer: Option (Not Answered) Correct Answer: Option A Explanation: Gain = 20% I. Profit = (S.P.)  (C.P.) = Rs. 40. Thus, I give the answer. But, II does not give the answer. Correct answer is (A). Learn more problems on : Profit and Loss Discuss about this problem : Discuss in Forum 
10.  A is thrice as good as workman as B and therefore is able to finish a job in 60 days less than B. Working together, they can do it in: 

Your Answer: Option (Not Answered) Correct Answer: Option B Explanation: Ratio of times taken by A and B = 1 : 3. The time difference is (3  1) 2 days while B take 3 days and A takes 1 day. If difference of time is 2 days, B takes 3 days.
So, A takes 30 days to do the work.
Learn more problems on : Time and Work Discuss about this problem : Discuss in Forum 
11.  A and B can do a job together in 7 days. A is 1 times as efficient as B. The same job can be done by A alone in : 

Your Answer: Option (Not Answered) Correct Answer: Option B Explanation:
Let A's and B's 1 day's work be 7x and 4x respectively.
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12.  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 
13.  Find a positive number which when increased by 17 is equal to 60 times the reciprocal of the number. 

Your Answer: Option (Not Answered) Correct Answer: Option A Explanation: Let the number be x.
x^{2} + 17x  60 = 0 (x + 20)(x  3) = 0 x = 3. Learn more problems on : Problems on Numbers Discuss about this problem : Discuss in Forum 
14.  A is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 27, then how old is B? 

Your Answer: Option (Not Answered) Correct Answer: Option D Explanation: Let C's age be x years. Then, B's age = 2x years. A's age = (2x + 2) years. (2x + 2) + 2x + x = 27 5x = 25 x = 5. Hence, B's age = 2x = 10 years. Learn more problems on : Problems on Ages Discuss about this problem : Discuss in Forum 
15.  A merchant has 1000 kg of sugar, part of which he sells at 8% profit and the rest at 18% profit. He gains 14% on the whole. The quantity sold at 18% profit is: 

Your Answer: Option (Not Answered) Correct Answer: Option C Explanation: By the rule of alligation, we have:
Ration of 1^{st} and 2^{nd} parts = 4 : 6 = 2 : 3
Learn more problems on : Alligation or Mixture Discuss about this problem : Discuss in Forum 
16.  In what ratio must a grocer mix two varieties of tea worth Rs. 60 a kg and Rs. 65 a kg so that by selling the mixture at Rs. 68.20 a kg he may gain 10%? 

Your Answer: Option (Not Answered) Correct Answer: Option A Explanation: S.P. of 1 kg of the mixture = Rs. 68.20, Gain = 10%.
By the rule of alligation, we have:
Required ratio = 3 : 2. Learn more problems on : Alligation or Mixture Discuss about this problem : Discuss in Forum 
17.  The length of a rectangle is halved, while its breadth is tripled. What is the percentage change in area? 

Your Answer: Option (Not Answered) Correct Answer: Option B Explanation: Let original length = x and original breadth = y. Original area = xy.
New breadth = 3y.
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18. 


Your Answer: Option (Not Answered) Correct Answer: Option C Explanation:
Learn more problems on : Problems on H.C.F and L.C.M Discuss about this problem : Discuss in Forum 
19.  The smallest number which when diminished by 7, is divisible 12, 16, 18, 21 and 28 is: 

Your Answer: Option (Not Answered) Correct Answer: Option B Explanation: Required number = (L.C.M. of 12,16, 18, 21, 28) + 7
= 1008 + 7 = 1015 Learn more problems on : Problems on H.C.F and L.C.M Discuss about this problem : Discuss in Forum 
20.  The banker's gain on a sum due 3 years hence at 12% per annum is Rs. 270. The banker's discount is: 

Your Answer: Option (Not Answered) Correct Answer: Option C Explanation:
B.D. = Rs.(750 + 270) = Rs. 1020. Learn more problems on : Banker's Discount Discuss about this problem : Discuss in Forum 