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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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 All the best :).
Each of the questions given below consists of a question followed by three statements. You have to study the question and the statements and decide which of the statement(s) is/are necessary to answer the question.  
1. 


Your Answer: Option (Not Answered) Correct Answer: Option E Explanation: Let the tens and units digit be x and y respectively. I. x + y = 7. II. (10x + y)  (10y + x) = 9 x  y = 1. III. x  y = 1. Thus, I and II as well as I and III give the answer. Correct answer is (E). Learn more problems on : Problems on Numbers Discuss about this problem : Discuss in Forum 
2.  The product of two numbers is 4107. If the H.C.F. of these numbers is 37, then the greater number is: 

Your Answer: Option (Not Answered) Correct Answer: Option C Explanation: Let the numbers be 37a and 37b. Then, 37a x 37b = 4107 ab = 3. Now, coprimes with product 3 are (1, 3). So, the required numbers are (37 x 1, 37 x 3) i.e., (37, 111). Greater number = 111. Learn more problems on : Problems on H.C.F and L.C.M Discuss about this problem : Discuss in Forum 
3.  A train overtakes two persons who are walking in the same direction in which the train is going, at the rate of 2 kmph and 4 kmph and passes them completely in 9 and 10 seconds respectively. The length of the train is: 

Your Answer: Option (Not Answered) Correct Answer: Option B Explanation:
Let the length of the train be x metres and its speed by y m/sec.
9y  5 = x and 10(9y  10) = 9x 9y  x = 5 and 90y  9x = 100. On solving, we get: x = 50. Length of the train is 50 m. Learn more problems on : Problems on Trains Discuss about this problem : Discuss in Forum 
4.  The cost of Type 1 rice is Rs. 15 per kg and Type 2 rice is Rs. 20 per kg. If both Type 1 and Type 2 are mixed in the ratio of 2 : 3, then the price per kg of the mixed variety of rice is: 

Your Answer: Option (Not Answered) Correct Answer: Option A Explanation: Let the price of the mixed variety be Rs. x per kg. By rule of alligation, we have:
60  3x = 2x  30 5x = 90 x = 18. Learn more problems on : Alligation or Mixture Discuss about this problem : Discuss in Forum 
5.  In what ratio must a grocer mix two varieties of pulses costing Rs. 15 and Rs. 20 per kg respectively so as to get a mixture worth Rs. 16.50 kg? 

Your Answer: Option (Not Answered) Correct Answer: Option C Explanation: By the rule of alligation:
Required rate = 3.50 : 1.50 = 7 : 3. Learn more problems on : Alligation or Mixture Discuss about this problem : Discuss in Forum 
6. 


Your Answer: Option (Not Answered) Correct Answer: Option A Explanation:
Then x^{2} = 128 x 162 = 64 x 2 x 18 x 9 = 8^{2} x 6^{2} x 3^{2} = 8 x 6 x 3 = 144. x = 144 = 12. Learn more problems on : Square Root and Cube Root Discuss about this problem : Discuss in Forum 
7.  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 
8.  The average weight of 16 boys in a class is 50.25 kg and that of the remaining 8 boys is 45.15 kg. Find the average weights of all the boys in the class. 

Your Answer: Option (Not Answered) Correct Answer: Option C Explanation:
Learn more problems on : Average Discuss about this problem : Discuss in Forum 
9.  A library has an average of 510 visitors on Sundays and 240 on other days. The average number of visitors per day in a month of 30 days beginning with a Sunday is: 

Your Answer: Option (Not Answered) Correct Answer: Option D Explanation: Since the month begins with a Sunday, to there will be five Sundays in the month.
Learn more problems on : Average Discuss about this problem : Discuss in Forum 
10. 


Your Answer: Option (Not Answered) Correct Answer: Option C Explanation:
= 1. Learn more problems on : Surds and Indices Discuss about this problem : Discuss in Forum 
11.  (25)^{7.5} x (5)^{2.5} ÷ (125)^{1.5} = 5^{?} 

Your Answer: Option (Not Answered) Correct Answer: Option B Explanation: Let (25)^{7.5} x (5)^{2.5} ÷ (125)^{1.5} = 5^{x}.
5^{x} = 5^{(15 + 2.5  4.5)} 5^{x} = 5^{13} x = 13. Learn more problems on : Surds and Indices Discuss about this problem : Discuss in Forum 
12.  A man rows to a place 48 km distant and come back in 14 hours. He finds that he can row 4 km with the stream in the same time as 3 km against the stream. The rate of the stream is: 

Your Answer: Option (Not Answered) Correct Answer: Option A Explanation: Suppose he move 4 km downstream in x hours. Then,
So, Speed downstream = 8 km/hr, Speed upstream = 6 km/hr.
Learn more problems on : Boats and Streams Discuss about this problem : Discuss in Forum 
13.  At what rate of compound interest per annum will a sum of Rs. 1200 become Rs. 1348.32 in 2 years? 

Your Answer: Option (Not Answered) Correct Answer: Option A Explanation: Let the rate be R% p.a.
R = 6% Learn more problems on : Compound Interest 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, the 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 towel, when bleached, was found to have lost 20% of its length and 10% of its breadth. The percentage of decrease in area is: 

Your Answer: Option (Not Answered) Correct Answer: Option D Explanation: Let original length = x and original breadth = y.
Learn more problems on : Area Discuss about this problem : Discuss in Forum 
16.  In an election between two candidates, one got 55% of the total valid votes, 20% of the votes were invalid. If the total number of votes was 7500, the number of valid votes that the other candidate got, was: 

Your Answer: Option (Not Answered) Correct Answer: Option A Explanation: Number of valid votes = 80% of 7500 = 6000. Valid votes polled by other candidate = 45% of 6000
Learn more problems on : Percentage Discuss about this problem : Discuss in Forum 
17.  The banker's discount on a bill due 4 months hence at 15% is Rs. 420. The true discount is: 

Your Answer: Option (Not Answered) Correct Answer: Option A Explanation:
Learn more problems on : Banker's Discount Discuss about this problem : Discuss in Forum 
18.  If log_{10} 5 + log_{10} (5x + 1) = log_{10} (x + 5) + 1, then x is equal to: 

Your Answer: Option (Not Answered) Correct Answer: Option B Explanation: log_{10} 5 + log_{10} (5x + 1) = log_{10} (x + 5) + 1 log_{10} 5 + log_{10} (5x + 1) = log_{10} (x + 5) + log_{10} 10 log_{10} [5 (5x + 1)] = log_{10} [10(x + 5)] 5(5x + 1) = 10(x + 5) 5x + 1 = 2x + 10 3x = 9 x = 3. Learn more problems on : Logarithm Discuss about this problem : Discuss in Forum 
19.  If log_{x} y = 100 and log_{2} x = 10, then the value of y is: 

Your Answer: Option (Not Answered) Correct Answer: Option C Explanation: log _{2} x = 10 x = 2^{10}. log_{x} y = 100 y = x^{100} y = (2^{10})^{100} [put value of x] y = 2^{1000}. Learn more problems on : Logarithm Discuss about this problem : Discuss in Forum 
Insert the missing number.  
20.  7, 26, 63, 124, 215, 342, (....) 

Your Answer: Option (Not Answered) Correct Answer: Option B Explanation: Numbers are (2^{3}  1), (3^{3}  1), (4^{3}  1), (5^{3}  1), (6^{3}  1), (7^{3}  1) etc. So, the next number is (8^{3}  1) = (512  1) = 511. Learn more problems on : Odd Man Out and Series Discuss about this problem : Discuss in Forum 