Hello Aspirants. Welcome to Online Quant Section in AffairsCloud.com. We are Starting I**BPS Clerk course 2015 **and we are creating question sample in **Quatitative Aptitude** section, which will be asked in IBPS Clerk Prelims Exam.

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**The ratio of present ages of A and B is 2 : 3. 6 years hence, the ratio of their ages will be 13 : 18. Find 2/5th of B’s age.**A) 12 B) 14 C) 20 D) 22 E) None of these**A) 12****Explanation:**Let the present ages of A and B are 2x and 3x After 6 years, 2x+6 / 3x+6 = 13/18 Solve, x = 10 B’s age = 30, 2/5 * 30 = 12**A and B started a business by investing Rs 20,000 and Rs 30,000 respectively. After 8 months both A and B withdraw their money and C joins the business with Rs 40,000. Find the share of A from a profit of Rs 55,300 after a year.**A) 15,600 B) 15,800 C) 15,400 D) 16,000 E) 15,000**B) 15,800****Explanation:**A’s share : B’s share : C’s share 20,000*8 : 30,000*8 : 40,000*4 2 : 3 : 2 A’s share = 2/(2+3+2) * 55300 = 15,800**The average of 11 results is 50. If the average of first six results is 49 and that of last six is 52, find the sixth result.**A) 53 B) 54 C) 55 D) 56 E) 57**D) 56****Explanation:**Total of 11 results = 11*50 = 550 Total of first six results = 6*49 = 294 Total of last six results = 6*52 = 312 So 6th result will be (294+312) – (550) = 56**A certain sum of money amounts to Rs 756 in 2 yrs and to Rs 873 in 3.5 yrs. Find the sum and the rate of interest.**A) Rs 560, 19% B) Rs 600, 15% C) Rs 660, 16% D) Rs 640, 13% E) Rs 600, 13%**E) Rs 600, 13%****Explanation:**SI for 1.5 yrs = 873 – 756 = Rs 117 So, for 2 yrs SI = 117/1.5 * 2 = Rs 156 Amount for 2 yrs is 756, so P = 756 – 156 = Rs 600 This gives, r = 100*156/600*2 = 13%**In an alloy weighing 5 kg, 1/3rd is brass and the rest is copper. It is mixed with an alloy weighing 2 kg in which 1/4th is brass and the rest is copper. What is the ratio of brass to copper in the final mixture?**A) 19 : 13 B) 13 : 29 C) 20 : 21 D) 19 : 15 E) 13 : 17**B) 13 : 29**Explanation:**5 men or 6 women do a piece of work in 61 days. In how many will 6 men and 5 women complete the same work?**A) 30 B) 32 C) 28 D) 26 E) 35**A) 30****Explanation:**For these type of questions, we have a direct formula as: Days 6m and 5w take = 61*5*6/(5*5 + 6*6) = 30 days In the numerator – days multiplied by number of men women in ‘or’. In the denominator we have cross multiplied the number of men with number of women.**A bag contains 3 white balls, 5 black balls and 4 yellow balls. 3 balls are drawn at random. What is the probability that at least 1 ball is black in color?**A. 21/22 B. 27/44 C. 18/33 D. 37/44 E) None of these**D. 37/44****Explanation:**For at least 1 black, we can have prob = 1 – none is black None is black means 3 balls from 7 balls (3 w + 4 y), ways are^{7}C_{3}= 7*6*5/3*2*1 = 35 There are a total of 12 balls. Ways for drawing 3 balls is^{12}C_{3}= 12*11*10/3*2*1 = 220 So prob. of none black =^{7}C_{3}/^{12}C_{3}= 35/220 = 7/44 So prob. of at least 1 black = 1 – 7/44 = 37/44**A dealer sold an article at a loss of 2.5%. Had he sold it for Rs 100 more, he would have gained 7.5%. For what value should he sell it in order to have a profit of 12 1/2%?**A) Rs 1225 B) Rs 1125 C) Rs 1130 D) Rs 1135 E) Rs 1150**B) Rs 1125****Explanation:**We have a direct formula for these questions: CP = More gain*100 / diff in profit % So here CP = 100*100/(7.5 – (-2.5)) = 100*100/10 = Rs 1000 So after profit of 12 ½ % or 12.5%, SP = (100+12.5)/100 * 1000 = Rs 1125**A boat goes in a river flowing at 1.5 km/hr. The ratio of the times taken by the boat to go downstream and back upstream is 3 : 4. Find the downstream speed.**A) 10 km/hr B) 16 km/hr C) 12 km/hr D) 20 km/hr E) 24 km/hr**C) 12 km/hr****Explanation:**Upstream time = 4x, downstream time = 3x R = 1.5 So using the formula, B = [t_{u}+ t_{d}] / [t_{u}– t_{d}] * R Speed of boat in still water, B = 4x+3x/(4x-3x) * 1.5 = 10.5 km/hr So downstream speed = 10.5 + 1.5 = 12 km/hr**The volume of a right circular cylinder is 396 cu. m and its curved surface area is 264 sq. m. Find the diameter and height of this cylinder.**A) 6m, 18 m B) 6m, 15 m C) 3 m, 14 m D) 3m, 12 m E) 6 m, 14 m**E) 6 m, 14 m****Explanation:**Vol = ᴨr^{2}h = 396 CSA = 2ᴨrh = 264 Divide both equations, r = 3m So diameter = 3 m, h = 14 m

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