Q: The cash difference between the selling prices of an article at a profit of 4% and 6% is Rs 3. The ratio of two selling prices is
Solution: Let the Cost price of article is Rs. x Required ratio = (104% of x) / (106% of x) =104/106 =52/53 = 52:53 The correct answer is: B) 52:53
Q: Find the Missing number in the given Series ? 2, 3, 6, 15, ? , 157.5
Solution: Here given 2, 3, 6, 15, ? , 157.5 2 x 1.5 = 3 3 x 2 = 6 6 x 2.5 = 15 15 x 3 = 45 45 x 3.5 = 157.5 Therefore, the missing number is 45 The correct answer is: D) 45
Q: A group of workers was put on a job. From the second day onwards, one worker was withdrawn each day. The job was finished when the last worker was withdrawn. Had no worker been withdrawn at any stage, the group would have finished the job in 55% of the time. How many workers were there in the group? ] Therefore, X = 10 }
Solution: Let the number of workers be x. Now, Using work equivalence method, X + (X-1) + (X-2)+ . . . . + 1 = X *55% of X => [X * (X+1)] / 2 = X * (55X/100) [because, Series is in AP. Sum of AP = {No. of terms (first term+ last term)/2
The correct answer is: D) 10Q: In what ratio should water and wine be mixed so that after selling the mixture at the cost price a profit of 33.33% is made?
Solution: 33.33% profit means there is one part water and 3 part is pure wine. so the required ratio of water and wine in the mixture is 1:3 The correct answer is: B) 1:3
Q: What will Rs.1500 amount to in three years if it is invested in 20% p.a. compound interest, interest being compounded annually?
Solution: The usual way to find the compound interest is given by the formula A = .p(1+r/100)^n In this formula, A is the amount at the end of the period of investment P is the principal that is invested r is the rate of interest in % p.a And n is the number of years for which the principal has been invested. In this case, it would turn out to be A =1500(1+20/100)^3 = 2592. The correct answer is: A) Rs.2592
Q: What is the next number in this series ? 4, 6, 12, 18, 30, 42, 60, ?
Solution: With close observation, you will note that each number in the list is in the middle of two prime numbers. Thus: 4 is in the middle of 3 and 5, 6 is in the middle of 5 and 7, 12 is in the middle of 11 and 13, 18 is in the middle of 17 and 19, 30 is in the middle of 29 and 31. 42 is in the middle of 41 and 43, 60 is in the middle of 59 and 61. Therefore, the next number would be the one that is in the middle of the next two prime numbers, which is 72 (which is in the middle of 71 and 73). The correct answer is: B) 72
Q: Akash leaves mumbai at 6 am and reaches Bangalore at 10 am . Prakash leaves Bangalore at 8 am and reaches Mumbai at 11:30 am. At what time do they cross each other?
Solution: Time taken by Akash = 4 h Time taken by Prakash = 3.5 h For your convenience take the product of times taken by both as a distance. Then the distance = 14km Since, Akash covers half of the distance in 2 hours(i.e at 8 am) Now, the rest half (i.e 7 km) will be coverd by both prakash and akash Time taken by them = 7/7.5 = 56 min Thus , they will cross each other at 8 : 56am. The correct answer is: C) 8:56 am
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