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 Total number of questions : 20.
 Time alloted : 30 minutes.
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1.  How many kilogram of sugar costing Rs. 9 per kg must be mixed with 27 kg of sugar costing Rs. 7 per kg so that there may be a gain of 10% by selling the mixture at Rs. 9.24 per kg? 

Your Answer: Option (Not Answered) Correct Answer: Option D Explanation: S.P. of 1 kg of mixture = Rs. 9.24, Gain 10%.
By the rule of allilation, we have:
Ratio of quantities of 1^{st} and 2^{nd} kind = 14 : 6 = 7 : 3. Let x kg of sugar of 1^{st} be mixed with 27 kg of 2^{nd} kind. Then, 7 : 3 = x : 27
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2.  In what ratio must water be mixed with milk to gain 16% on selling the mixture at cost price? 

Your Answer: Option (Not Answered) Correct Answer: Option A Explanation: Let C.P. of 1 litre milk be Re. 1.
By the rule of alligation, we have:
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3.  A rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered. If the area of the field is 680 sq. feet, how many feet of fencing will be required? 

Your Answer: Option (Not Answered) Correct Answer: Option D Explanation: We have: l = 20 ft and lb = 680 sq. ft. So, b = 34 ft. Length of fencing = (l + 2b) = (20 + 68) ft = 88 ft. Learn more problems on : Area Discuss about this problem : Discuss in Forum 
4.  Aman started a business investing Rs. 70,000. Rakhi joined him after six months with an amount of Rs.. 1,05,000 and Sagar joined them with Rs. 1.4 lakhs after another six months. The amount of profit earned should be distributed in what ratio among Aman, Rakhi and Sagar respectively, 3 years after Aman started the business? 

Your Answer: Option (Not Answered) Correct Answer: Option B Explanation: Aman : Rakhi : Sagar = (70,000 x 36) : (1,05,000 x 30) : (1,40,000 x 24) = 12 : 15 : 16. Learn more problems on : Partnership Discuss about this problem : Discuss in Forum 
5.  The sum of ages of 5 children born at the intervals of 3 years each is 50 years. What is the age of the youngest child? 

Your Answer: Option (Not Answered) Correct Answer: Option A Explanation: Let the ages of children be x, (x + 3), (x + 6), (x + 9) and (x + 12) years. Then, x + (x + 3) + (x + 6) + (x + 9) + (x + 12) = 50 5x = 20 x = 4. Age of the youngest child = x = 4 years. Learn more problems on : Problems on Ages Discuss about this problem : Discuss in Forum 
6.  There are two examinations rooms A and B. If 10 students are sent from A to B, then the number of students in each room is the same. If 20 candidates are sent from B to A, then the number of students in A is double the number of students in B. The number of students in room A is: 

Your Answer: Option (Not Answered) Correct Answer: Option C Explanation: Let the number of students in rooms A and B be x and y respectively. Then, x  10 = y + 10 x  y = 20 .... (i) and x + 20 = 2(y  20) x  2y = 60 .... (ii) Solving (i) and (ii) we get: x = 100 , y = 80. The required answer A = 100. Learn more problems on : Simplification Discuss about this problem : Discuss in Forum 
7.  A shopkeeper expects a gain of 22.5% on his cost price. If in a week, his sale was of Rs. 392, what was his profit? 

Your Answer: Option (Not Answered) Correct Answer: Option C Explanation:
Profit = Rs. (392  320) = Rs. 72. Learn more problems on : Profit and Loss Discuss about this problem : Discuss in Forum 
8.  A train speeds past a pole in 15 seconds and a platform 100 m long in 25 seconds. Its length 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.
15(x + 100) = 25x 15x + 1500 = 25x 1500 = 10x x = 150 m. Learn more problems on : Problems on Trains Discuss about this problem : Discuss in Forum 
Insert the missing number.  
9.  4, 8, 16, 32, 64, (....) 

Your Answer: Option (Not Answered) Correct Answer: Option B Explanation: Each number is the proceeding number multiplied by 2. So, the required number is 128. Learn more problems on : Odd Man Out and Series Discuss about this problem : Discuss in Forum 
10.  The population of a town increased from 1,75,000 to 2,62,500 in a decade. The average percent increase of population per year is: 

Your Answer: Option (Not Answered) Correct Answer: Option B Explanation: Increase in 10 years = (262500  175000) = 87500.
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11.  Three candidates contested an election and received 1136, 7636 and 11628 votes respectively. What percentage of the total votes did the winning candidate get? 

Your Answer: Option (Not Answered) Correct Answer: Option A Explanation: Total number of votes polled = (1136 + 7636 + 11628) = 20400.
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12.  Two numbers A and B are such that the sum of 5% of A and 4% of B is twothird of the sum of 6% of A and 8% of B. Find the ratio of A : B. 

Your Answer: Option (Not Answered) Correct Answer: Option D Explanation:
Required ratio = 4 : 3 Learn more problems on : Percentage Discuss about this problem : Discuss in Forum 
13.  The last day of a century cannot be 

Your Answer: Option (Not Answered) Correct Answer: Option C Explanation: 100 years contain 5 odd days. Last day of 1^{st} century is Friday. 200 years contain (5 x 2) 3 odd days. Last day of 2^{nd} century is Wednesday. 300 years contain (5 x 3) = 15 1 odd day. Last day of 3^{rd} century is Monday. 400 years contain 0 odd day. Last day of 4^{th} century is Sunday. This cycle is repeated. Last day of a century cannot be Tuesday or Thursday or Saturday. Learn more problems on : Calendar Discuss about this problem : Discuss in Forum 
14.  If 5^{a} = 3125, then the value of 5^{(a  3)} is: 

Your Answer: Option (Not Answered) Correct Answer: Option A Explanation: 5^{a} = 3125 5^{a} = 5^{5} a = 5. 5^{(a  3)} = 5^{(5  3)} = 5^{2} = 25. Learn more problems on : Surds and Indices 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
 
15. 


Your Answer: Option (Not Answered) Correct Answer: Option E Explanation:
II. S  5 = 25 (D  5) S = 25D  120 ....(ii)
4S = 120. S = 30. Thus, I and II both together give the answer. So, correct answer is (E). Learn more problems on : Problems on Ages Discuss about this problem : Discuss in Forum 
16.  The difference between a twodigit number and the number obtained by interchanging the digits is 36. What is the difference between the sum and the difference of the digits of the number if the ratio between the digits of the number is 1 : 2 ? 

Your Answer: Option (Not Answered) Correct Answer: Option B Explanation: Since the number is greater than the number obtained on reversing the digits, so the ten's digit is greater than the unit's digit. Let ten's and unit's digits be 2x and x respectively. Then, (10 x 2x + x)  (10x + 2x) = 36 9x = 36 x = 4. Required difference = (2x + x)  (2x  x) = 2x = 8. Learn more problems on : Problems on Numbers Discuss about this problem : Discuss in Forum 
17.  The angle between the minute hand and the hour hand of a clock when the time is 4.20, is: 

Your Answer: Option (Not Answered) Correct Answer: Option B Explanation:
Required angle = (130  120)º = 10º. Learn more problems on : Clock Discuss about this problem : Discuss in Forum 
18. 


Your Answer: Option (Not Answered) Correct Answer: Option A Explanation:
Learn more problems on : Decimal Fraction Discuss about this problem : Discuss in Forum 
19. 


Your Answer: Option (Not Answered) Correct Answer: Option B Explanation:
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20.  A boat running upstream takes 8 hours 48 minutes to cover a certain distance, while it takes 4 hours to cover the same distance running downstream. What is the ratio between the speed of the boat and speed of the water current respectively? 

Your Answer: Option (Not Answered) Correct Answer: Option C Explanation: Let the man's rate upstream be x kmph and that downstream be y kmph. Then, distance covered upstream in 8 hrs 48 min = Distance covered downstream in 4 hrs.
= 8 : 3. Learn more problems on : Boats and Streams Discuss about this problem : Discuss in Forum 