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 Total number of questions : 20.
 Time alloted : 30 minutes.
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1.  A car travelling with of its actual speed covers 42 km in 1 hr 40 min 48 sec. Find the actual speed of the car. 

Your Answer: Option (Not Answered) Correct Answer: Option D Explanation:
Let the actual speed be x km/hr.
Learn more problems on : Time and Distance Discuss about this problem : Discuss in Forum 
2.  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 
3.  Two number are in the ratio 3 : 5. If 9 is subtracted from each, the new numbers are in the ratio 12 : 23. The smaller number is: 

Your Answer: Option (Not Answered) Correct Answer: Option B Explanation: Let the numbers be 3x and 5x.
23(3x  9) = 12(5x  9) 9x = 99 x = 11. The smaller number = (3 x 11) = 33. Learn more problems on : Ratio and Proportion Discuss about this problem : Discuss in Forum 
Find out the wrong number in the series.  
4.  40960, 10240, 2560, 640, 200, 40, 10 

Your Answer: Option (Not Answered) Correct Answer: Option C Explanation: Go on dividing by 4 to get the next number. So, 200 is wrong. Learn more problems on : Odd Man Out and Series Discuss about this problem : Discuss in Forum 
5.  64, 71, 80, 91, 104, 119, 135, 155 

Your Answer: Option (Not Answered) Correct Answer: Option E Explanation: Go on adding 7, 9, 11, 13, 15, 17, 19 respectively to obtain the next number. So, 135 is wrong. Learn more problems on : Odd Man Out and Series Discuss about this problem : Discuss in Forum 
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.  
6. 


Your Answer: Option (Not Answered) Correct Answer: Option C Explanation: From II, let l = 4x, b = 6x and h = 5x. Then, area of the hall = (24x^{2}) m^{2}. From I. Area of the hall = 24 m^{2}. From II and I, we get 24x^{2} = 24 x = 1. l = 4 m, b = 6 and h = 5 m. Thus, area of two adjacent walls = [(l x h) + (b x h)] m^{2} can be found out and so the cost of painting two adjacent walls may be found out. Thus, III is redundant. Correct answer is (C). Learn more problems on : Area Discuss about this problem : Discuss in Forum 
7.  (17)^{3.5} x (17)^{?} = 17^{8} 

Your Answer: Option (Not Answered) Correct Answer: Option D Explanation: Let (17)^{3.5} x (17)^{x} = 17^{8}. Then, (17)^{3.5 + x} = 17^{8}. 3.5 + x = 8 x = (8  3.5) x = 4.5 Learn more problems on : Surds and Indices Discuss about this problem : Discuss in Forum 
8.  A bank offers 5% compound interest calculated on halfyearly basis. A customer deposits Rs. 1600 each on 1^{st} January and 1^{st} July of a year. At the end of the year, the amount he would have gained by way of interest is: 

Your Answer: Option (Not Answered) Correct Answer: Option B Explanation:
C.I. = Rs. (3321  3200) = Rs. 121 Learn more problems on : Compound Interest Discuss about this problem : Discuss in Forum 
9.  The compound interest on a certain sum for 2 years at 10% per annum is Rs. 525. The simple interest on the same sum for double the time at half the rate percent per annum is: 

Your Answer: Option (Not Answered) Correct Answer: Option B Explanation: Let the sum be Rs. P.
Sum = Rs . 2500.
Learn more problems on : Compound Interest Discuss about this problem : Discuss in Forum 
Insert the missing number.  
10.  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 
11.  8, 7, 11, 12, 14, 17, 17, 22, (....) 

Your Answer: Option (Not Answered) Correct Answer: Option B Explanation: There are two series (8, 11, 14, 17, 20) and (7, 12, 17, 22) increasing by 3 and 5 respectively. Learn more problems on : Odd Man Out and Series Discuss about this problem : Discuss in Forum 
12.  The greatest possible length which can be used to measure exactly the lengths 7 m, 3 m 85 cm, 12 m 95 cm is: 

Your Answer: Option (Not Answered) Correct Answer: Option C Explanation: Required length = H.C.F. of 700 cm, 385 cm and 1295 cm = 35 cm. Learn more problems on : Problems on H.C.F and L.C.M Discuss about this problem : Discuss in Forum 
13.  The G.C.D. of 1.08, 0.36 and 0.9 is: 

Your Answer: Option (Not Answered) Correct Answer: Option C Explanation: Given numbers are 1.08, 0.36 and 0.90. H.C.F. of 108, 36 and 90 is 18, H.C.F. of given numbers = 0.18. Learn more problems on : Problems on H.C.F and L.C.M Discuss about this problem : Discuss in Forum 
14.  A vendor bought toffees at 6 for a rupee. How many for a rupee must he sell to gain 20%? 

Your Answer: Option (Not Answered) Correct Answer: Option C Explanation: C.P. of 6 toffees = Re. 1
Video Explanation: https://youtu.be/7wKrnZ0LKA8 Learn more problems on : Profit and Loss Discuss about this problem : Discuss in Forum 
15.  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 
16.  If log_{10} 2 = 0.3010, the value of log_{10} 80 is: 

Your Answer: Option (Not Answered) Correct Answer: Option B Explanation:
Learn more problems on : Logarithm Discuss about this problem : Discuss in Forum 
17.  A twodigit number is such that the product of the digits is 8. When 18 is added to the number, then the digits are reversed. The number is: 

Your Answer: Option (Not Answered) Correct Answer: Option B Explanation:
10x^{2} + 8 + 18x = 80 + x^{2} 9x^{2} + 18x  72 = 0 x^{2} + 2x  8 = 0 (x + 4)(x  2) = 0 x = 2. Learn more problems on : Problems on Numbers Discuss about this problem : Discuss in Forum 
18.  A man walked diagonally across a square lot. Approximately, what was the percent saved by not walking along the edges? 

Your Answer: Option (Not Answered) Correct Answer: Option C Explanation: Let the side of the square(ABCD) be x metres.
Then, AB + BC = 2x metres. AC = 2x = (1.41x) m. Saving on 2x metres = (0.59x) m.
Learn more problems on : Area Discuss about this problem : Discuss in Forum 
19.  In a shower, 5 cm of rain falls. The volume of water that falls on 1.5 hectares of ground is: 

Your Answer: Option (Not Answered) Correct Answer: Option B Explanation: 1 hectare = 10,000 m^{2} So, Area = (1.5 x 10000) m^{2} = 15000 m^{2}.
Video Explanation: https://youtu.be/dDbVuBzYop8 Learn more problems on : Volume and Surface Area Discuss about this problem : Discuss in Forum 
20.  A right triangle with sides 3 cm, 4 cm and 5 cm is rotated the side of 3 cm to form a cone. The volume of the cone so formed is: 

Your Answer: Option (Not Answered) Correct Answer: Option A Explanation: Clearly, we have r = 3 cm and h = 4 cm.
Video Explanation: https://youtu.be/Njsid2mVwUY Learn more problems on : Volume and Surface Area Discuss about this problem : Discuss in Forum 