Q: A boat takes 19 hours for travelling downstream from point A to point B and coming back to a point C which is at midway between A and B. If the velocity of the stream is 4 kmph and the speed of the boat in still water is 14 kmph, what is the distance between A and B ?
Solution: Speed in downstream = (14 + 4) km/hr = 18 km/hr; Speed in upstream = (14 – 4) km/hr = 10 km/hr. Let the distance between A and B be x km. Then, x/18 + (x/2)/10 = 19 ⇔ x/18 + x/20 = 19 ⇒ x = 180 km. The correct answer is: A) 180 km
Q: A bag contains 600 coins of 25 p denomination and 1200 coins of 50 p denomination. If 12% of 25 p coins and 24% of 50 p coins are removed, the percentage of money removed from the bag is nearly :
Solution: Total money = Rs.[600*(25/100)+1200*(50/100)]= Rs. 750. 25 paise coins removed = Rs. (600*12/100) = 72. 50 paise coins removed = Rs. (1200*24/100)= 288. Money removed =Rs.(72*25/100+288*50/100) = Rs.162. Required percentage = (162/750*100)% = 21.6 %. The correct answer is: A) 21.6 %
Q: The calendar for the year 2007 will be the same for the year
Solution: The correct answer is: D) 2018
Q: A man bought an article and sold it at a gain of 5 %. If he had bought it at 5% less and sold it for Re 1 less, he would have made a profit of 10%. The C.P. of the article was
Solution: Let original Cost price is x Its Selling price = (105/100) * x = 21x/20 New Cost price = (95/100) * x = 19x/20 New Selling price = (110/100 )* (19x/20 )= 209x/200 [(21x/20) - (209x/200)] = 1 => x = 200 The correct answer is: C) Rs 200
Q: If the manufacturer gains 10 %, the wholesale dealer 15 % and the retailer 25 %, then find the cost of production of a table if the retail price was Rs 1265
Solution: Let the cost of Production = Rs. P Then, as per question, ⇒125100×115100×110100×P=1265 => P=800 The correct answer is: B) Rs. 800
Q: Find the odd number out of the following number series? 2 4 8 11.5 18.25 28.375
Solution: Given number series follows a pattern that, 2 2 x 1.5 + 1 = 4 4 x 1.5 + 1 = 7 (not equal to 8) 7 x 1.5 + 1 = 11.5 11.5 x 1.5 + 1 = 18.25 18.25 x 1.5 + 1 = 28.375 Hence, the odd number in the given number series is 8. The correct answer is: D) 8
Q: A problem is given to three students whose chances of solving it are 1/2, 1/3 and 1/4 respectively. What is the probability that the problem will be solved?
Solution: Let A, B, C be the respective events of solving the problem and A , B, C be the respective events of not solving the problem. Then A, B, C are independent event ∴A, B, C are independent events Now, P(A) = 1/2 , P(B) = 1/3 and P(C)=1/4 PA=12, PB=23, PC= 34 ∴ P( none solves the problem) = P(not A) and (not B) and (not C) = PA∩B∩C = PAPBPC ∵ A, B, C are Independent = 12×23×34 = 14 Hence, P(the problem will be solved) = 1 - P(none solves the problem) = 1-14= 3/4 The correct answer is: C) 3/4
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