Q: The difference between the compound interest and simple interest on a certain sum at 10% per annum for 2 years is Rs. 631. Find the sum.
Solution: Let the sum be Rs. x. Then,C.I. = x ( 1 + ( 10 /100 ))^2 - x = 21x / 100 ,S.I. = (( x * 10 * 2) / 100) = x / 5(C.I) - (S.I) = ((21x / 100 ) - (x / 5 )) = x / 100( x / 100 ) = 632 * x = 63100.Hence, the sum is Rs.63,100. The correct answer is: D) 63100
Q: Two pipes A and B can fill a tank in 15 minutes and 20 minutes respectively. Both the pipes are opened together but after 4 minutes, pipe A is turned off. What is the total time required to fill the tank?
Solution: Part filled in 4 minutes =4(1/15+1/20) = 7/15 Remaining part =(1-7/15) = 8/15 Part filled by B in 1 minute =1/20 : 8/15 :: 1:x x = (8/15*1*20) = 1023min = 10min 40sec The tank will be full in (4 min. + 10 min. + 40 sec.) = 14 min. 40 sec The correct answer is: D) 14 min. 40 sec
Q: A man wants to sell his scooter .There are two offers one at Rs12000 cash and other at a credit of Rs12880 to be paid after 8 months ,money being at 18% per annum which is better offer?
Solution: PW of Rs.12,880 due 8 months hence = Rs. [12880 x 100] / [100+(18 x 8/12)] =Rs.11500 Clearly 12000 in cash is a better offer. The correct answer is: B) Rs.12000
Q: A large field of 700 hectares is divided into two parts. The difference of the areas of the two parts is one-fifth of the average of the two areas. What is the area of the smaller part in hectares?
Solution: Let the areas of the two parts be x and (700-x) hectares therefore, x-700-x=15x+700-x2 ⇒2x-700=70 ⇒x=385 So, the two parts are 385 and 315. Hence, Area of the smaller = 315 hectares The correct answer is: A) 315
Q: The difference between the compound interest and the simple interest accrued on an amount of Rs. 18,000 in 2 years was Rs. 405. What was the rate of interest p.c.p.a. ?
Solution: Let the rate be R% p.a. Then, 18001+R1002-1800-1800*R*2100=405 1800100+R210000-1-2R100=405 1800100+R2-10000-200R10000=405 ⇔ 95*R2=405 ⇔R2=405*59=225⇔R=15 Rate = 15%. The correct answer is: D) 15%
Q: The diference of two numbers is 20% of the larger number, if the smaller number is 20, then the larger number is :
Solution: Let the large number be x. Then x - 20 = 20x/100 => x - x/5 = 20 => x = 25. The correct answer is: B) 25
Q: In a mixture of milk and water, there is only 26% water. After replacing the mixture with 7 liters of pure milk , the percentage of milk in the mixture become 76%. The quantity of mixture is:
Solution: Milk Water 74% 26% (initially) 76% 24% ( after replacement) Left amount = Initial amount 1-replaced amounttotal amount 24 = 261-7k => k = 91 The correct answer is: B) 91 liters
Q: There are four hotels in a town. If 3 men check into the hotels in a day then what is the probability that each checks into a different hotel?
Solution: Total cases of checking in the hotels = 4 x 4 x 4 = 64 ways. Cases when 3 men are checking in different hotels = 4×3×2 = 24 ways. Required probability =24/64 = 3/8 The correct answer is: D) 3/8
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