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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 multiple of 7, which leaves a remainder of 4, when divided by 6, 9, 15 and 18 is: 

Your Answer: Option (Not Answered) Correct Answer: Option D Explanation: L.C.M. of 6, 9, 15 and 18 is 90. Let required number be 90k + 4, which is multiple of 7. Least value of k for which (90k + 4) is divisible by 7 is k = 4. Required number = (90 x 4) + 4 = 364. Learn more problems on : Problems on H.C.F and L.C.M Discuss about this problem : Discuss in Forum 
2.  The greatest number which on dividing 1657 and 2037 leaves remainders 6 and 5 respectively, is: 

Your Answer: Option (Not Answered) Correct Answer: Option B Explanation: Required number = H.C.F. of (1657  6) and (2037  5) = H.C.F. of 1651 and 2032 = 127. Learn more problems on : Problems on H.C.F and L.C.M Discuss about this problem : Discuss in Forum 
3.  100 oranges are bought at the rate of Rs. 350 and sold at the rate of Rs. 48 per dozen. The percentage of profit or loss is: 

Your Answer: Option (Not Answered) Correct Answer: Option A Explanation:
Learn more problems on : Profit and Loss Discuss about this problem : Discuss in Forum 
4.  Seats for Mathematics, Physics and Biology in a school are in the ratio 5 : 7 : 8. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio of increased seats? 

Your Answer: Option (Not Answered) Correct Answer: Option A Explanation: Originally, let the number of seats for Mathematics, Physics and Biology be 5x, 7x and 8x respectively. Number of increased seats are (140% of 5x), (150% of 7x) and (175% of 8x).
14x : 21x : 28x 2 : 3 : 4. Learn more problems on : Ratio and Proportion 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.  
5. 


Your Answer: Option (Not Answered) Correct Answer: Option B Explanation:
From III also, profit after 3 years = Rs. (2750 x 3) = Rs. 8250.
Thus, (either III is redundant [or] I and II are redundant). Correct answer is (B). Learn more problems on : Partnership Discuss about this problem : Discuss in Forum 
6.  If a quarter kg of potato costs 60 paise, how many paise will 200 gm cost? 

Your Answer: Option (Not Answered) Correct Answer: Option A Explanation: Let the required weight be x kg. Less weight, Less cost (Direct Proportion) 250 : 200 :: 60 : x 250 x x = (200 x 60)
x = 48. Learn more problems on : Chain Rule Discuss about this problem : Discuss in Forum 
7.  P can complete a work in 12 days working 8 hours a day. Q can complete the same work in 8 days working 10 hours a day. If both P and Q work together, working 8 hours a day, in how many days can they complete the work? 

Your Answer: Option (Not Answered) Correct Answer: Option A Explanation: P can complete the work in (12 x 8) hrs. = 96 hrs. Q can complete the work in (8 x 10) hrs. = 80 hrs.
Learn more problems on : Time and Work Discuss about this problem : Discuss in Forum 
8.  Sakshi can do a piece of work in 20 days. Tanya is 25% more efficient than Sakshi. The number of days taken by Tanya to do the same piece of work is: 

Your Answer: Option (Not Answered) Correct Answer: Option B Explanation: Ratio of times taken by Sakshi and Tanya = 125 : 100 = 5 : 4. Suppose Tanya takes x days to do the work.
x = 16 days. Hence, Tanya takes 16 days to complete the work. Learn more problems on : Time and Work Discuss about this problem : Discuss in Forum 
9.  A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is: 

Your Answer: Option (Not Answered) Correct Answer: Option B Explanation:
= 45 km/hr. Let the speed of the train be x km/hr. Then, relative speed = (x  5) km/hr. x  5 = 45 x = 50 km/hr. Learn more problems on : Problems on Trains Discuss about this problem : Discuss in Forum 
10.  Two trains, each 100 m long, moving in opposite directions, cross each other in 8 seconds. If one is moving twice as fast the other, then the speed of the faster train is: 

Your Answer: Option (Not Answered) Correct Answer: Option C Explanation: Let the speed of the slower train be x m/sec. Then, speed of the faster train = 2x m/sec. Relative speed = (x + 2x) m/sec = 3x m/sec.
24x = 200
= 60 km/hr. Learn more problems on : Problems on Trains Discuss about this problem : Discuss in Forum 
11.  A train travelling at a speed of 75 mph enters a tunnel 3 miles long. The train is mile long. How long does it take for the train to pass through the tunnel from the moment the front enters to the moment the rear emerges? 

Your Answer: Option (Not Answered) Correct Answer: Option B Explanation:
Learn more problems on : Problems on Trains Discuss about this problem : Discuss in Forum 
12.  A man takes twice as long to row a distance against the stream as to row the same distance in favour of the stream. The ratio of the speed of the boat (in still water) and the stream is: 

Your Answer: Option (Not Answered) Correct Answer: Option B Explanation: Let man's rate upstream be x kmph. Then, his rate downstream = 2x kmph.
= 3 : 1. Learn more problems on : Boats and Streams Discuss about this problem : Discuss in Forum 
13.  A sum of Rs. 12,500 amounts to Rs. 15,500 in 4 years at the rate of simple interest. What is the rate of interest? 

Your Answer: Option (Not Answered) Correct Answer: Option D Explanation: S.I. = Rs. (15500  12500) = Rs. 3000.
Learn more problems on : Simple Interest Discuss about this problem : Discuss in Forum 
14.  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 
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.  
15. 


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 
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
 
16. 


Your Answer: Option (Not Answered) Correct Answer: Option D Explanation: II gives the value of r. But, in I, the breadth of rectangle is not given. So, we cannot find the surface area of the cone. Hence, the height of the cone cannot be determined. Correct answer is (D). Learn more problems on : Volume and Surface Area Discuss about this problem : Discuss in Forum 
17.  At what time between 5.30 and 6 will the hands of a clock be at right angles? 

Your Answer: Option (Not Answered) Correct Answer: Option B Explanation: At 5 o'clock, the hands are 25 min. spaces apart. To be at right angles and that too between 5.30 and 6, the minute hand has to gain (25 + 15) = 40 min. spaces. 55 min. spaces are gained in 60 min.
Learn more problems on : Clock Discuss about this problem : Discuss in Forum 
18.  Which is better investment: 11% stock at 143 or 9% stock at 117? 

Your Answer: Option (Not Answered) Correct Answer: Option B Explanation: Let investment in each case be Rs. (143 x 117).
Learn more problems on : Stocks and Shares Discuss about this problem : Discuss in Forum 
19.  The banker's gain on a bill due 1 year hence at 12% per annum is Rs. 6. The true discount is: 

Your Answer: Option (Not Answered) Correct Answer: Option D Explanation:
Learn more problems on : Banker's Discount Discuss about this problem : Discuss in Forum 
Find out the wrong number in the given sequence of numbers.  
20.  25, 36, 49, 81, 121, 169, 225 

Your Answer: Option (Not Answered) Correct Answer: Option A Explanation: The numbers are squares of odd natural numbers, starting from 5 up to 15. So, 36 is wrong. Learn more problems on : Odd Man Out and Series Discuss about this problem : Discuss in Forum 