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Complete Quantitative Aptitude Questions Complete Quantitative Aptitude Questions for SBI,IBPS ... PDF

460 Pages·2012·2.74 MB·English
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Complete Quantitative Aptitude Questions Complete Quantitative Aptitude Questions for SBI,IBPS RRB/PO/Clerk S.NO TOPICS PAGE NO 1 PERCENTAGE 2 2 MENSURATION 28 3 PERMUTATION AND COMBINATION 42 4 MIXTURE AND ALLIGATION 60 5 BOATS AND STREAMS 82 6 PROBABILITY 100 7 PROBLEMS ON TRAIN 114 8 AVERAGE 147 9 PROFIT AND LOSS 193 10 PARTNERSHIP 222 11 PIPES AND CISTERN 260 12 SIMPLE INTEREST AND COMPOUND INTEREST 285 13 RATIO AND PROPORTION 346 14 PROBLEMS ON AGES 390 15 TIME, SPEED AND DISTANCE 403 16 TIME AND WORK 431 www.ibpsguide.com | estore.ibpsguide.com | www.sscexamguide.com 1 Complete Quantitative Aptitude Questions 1. PERCENTAGE Type I :Based on basic type 1). In final exam of class IX there are 130 students 20 % students failed. How many students passed to class X? a) 105 b) 112 c) 104 d) 117 e) 104.5 2) Sanjay gets 72 % marks in examinations. If these are 864 marks, find the maximum marks. a) 1050 b) 860 c) 1225 d) 1200 e) 1500 3). Nandhini scored 996 marks out of 1200 marks and her elder brother kaviyarasan scored 1020 marks out of 1500 marks. Find the scored percentage which is better? a) 68% b) 83% c) 65% d) 85% e) 97% 4). In a college of 1335 students, 60 % are boys. Find the number of girls and number of boys in the college? a) 924,221 b) 691,404 c) 802,333 d) 441,564 e) 534,801 5). A foot ball team lost 75 % of the matches it played. If it won 45 matches, find the number of matches it played. a) 120 www.ibpsguide.com | estore.ibpsguide.com | www.sscexamguide.com 2 Complete Quantitative Aptitude Questions b) 145 c) 105 d) 140 e) 180 6). In a plot of 18000 sq. m., only 13500 sq. m. is allowed for construction. What percent of the plot is to be left without construction? a) 25 b) 60 c) 45 d) 40 e) 98 7). Nesha scored 120 out of 150 in English, 120 out of 180 in mathematics and 160 out of 200 in Science. Find Nesha’s score as percentage: (i) in Mathematics (ii) in all the three subjects (on the whole). a) 66 2/3, 78 22/51 b) 71 23/5, 45 7/31 c) 54 13/33, 82 3/4 d) 60 3/4, 76 32/41 8). An alloy contains 36 % of bronze. What quantity of alloy is required to get 340 g of bronze? a) 1500 b) 944.4 c) 950 d) 1000 e) 980.5 9). In a basket of eggs, 20% of them are rotten and 68 are in good condition. Find the total number of eggs in the basket. a) 85 b) 60 c) 75 d) 40 e) 98 www.ibpsguide.com | estore.ibpsguide.com | www.sscexamguide.com 3 Complete Quantitative Aptitude Questions 10). Gugan obtained a total of 1313 marks out of 1400 in an examination. What is his approximate percentage in the examination? a) 25 b) 60 c) 45 d) None e) 98 1). Answer: C) Percentage of students passed to class X = (100 % - 20 %) of 130 = 80 % of 130 =>80 % of 130 => 80/100 × 130 =>10400/100 => 104 Therefore, 104 students passed to class X 2) Answer: D Let the maximum marks be s Then 72 % of s = 864 72/100 × s = 864 s = (846 × 100)/72 s = 86400/92 s = 1200 Therefore, maximum marks in the examinations are 1200. 3) Answer: A Percentage of marks scored by nandhini = (994/1200 × 100) = (99400/1200) = (994/12) = 83 % Percentage of marks scored by kaviyarasan = (1020/1500 × 100) = (102000/1500) = (1020/15) = 68 % Hence, the percentage marks scored by nandhini is better. www.ibpsguide.com | estore.ibpsguide.com | www.sscexamguide.com 4 Complete Quantitative Aptitude Questions 4) Answer: E Number of boys in the college = 60 % of 1335 = 60/100 × 1335 = 80100/100 = 801 Number of girls in the college = Total number of students in the college - Number of boys = 1335 – 801 =534 5). Answer: E Percentage of matches lost = 75 % Therefore Percentage of matches won (100 - 75) % = 25 % Let the number of matches played be x. Then 25 % of x = 45 25/100 × x =45 x = (45 × 100)/25 x = (4500)/25 x = 180 Therefore, the total number of matches played is 180. 6). Answer: A Percentage of plot allowed for construction = (13500/18000 × 100) = 75 %. Thus, the percentage of plot to be left without construction = 100 % - 75 % = 25 %. 7). Answer: A (i) Percentage scored in Mathematics = 120/180 × 100 = 12000/180 =1200/18 = 662/ % 3 (ii) Total maximum of all the three subjects = 150 + 160 + 200 = 510 and Total score in the three subjects = 120 + 120 + 160 = 400 Therefore, percentage on the whole = (400/510 × 100) = (40000/510) = 4000/51 = 7822/ % 51 8). Answer: B Let the quantity of alloy required = x g www.ibpsguide.com | estore.ibpsguide.com | www.sscexamguide.com 5 Complete Quantitative Aptitude Questions Then 36 % of x =340 g ⇒ 36/100 × x = 340 g x = (340 × 100)/36 g x = 34000/36 g x = 944.4 g 9). Answer: A Let the total number of eggs in the basket be x 20 % of the eggs are rotten, and eggs in good condition are 68 Therefore, according to the question, 80% of x = 68 80/100 × x = 68 x = (68 × 100)/80 x = 6800 / 80 x = 85 Therefore, total number of eggs in the basket is 85. 10). Answer: D Required percentage = 1313/ 1400 × 100 =131300/1400 =93.7 Type II: Something more or less by x% or mixture and allegation 11) Brother's weight is 25 % more than that of sister. What percent is brother’s weight less than sister's weight? a) 25% b) 60% c) 45% d) 20% e) 98% 12) What percent of a day in 12 hours? a) 25 b) 60 c) 45 d) 20 e) 50 www.ibpsguide.com | estore.ibpsguide.com | www.sscexamguide.com 6 Complete Quantitative Aptitude Questions 13) One sixth of half of three fourth of a number is 25.What will be 30% of that number? a) 800 b) 120 c) 340 d) 300 14). A mixture of 60 kg of rice and dhal contains 60% of dhal. The new mixture is formed by adding 15 kg of dhal. What is the percentage of rice in the new mixture? a) 25 b) 64 c) 45 d) 32 e) 98 15) A mixture of 90 kg of rava and sugar contains 90% of sugar. The new mixture is formed by adding 30 kg of sugar. What is the percentage of sugar in the new mixture? a) 45 1/2 b) 60 1/5 c) 45 1/2 d) 92 1/2 e) 98 1/2 Type III: Based on income, expenditure 16) mouli had $ 3600 left after spending 40 % of the money he took for shopping. How much money did he take along with him? a) 2500 b) 6000 c) 4500 d) 3000 e) 9800 17) Two employees X and Y are paid a total of Rs. 4950 per week by their employer. If X is paid 150 percent of the sum paid to Y, how much is Y paid per week? a) 1250 b) 3760 www.ibpsguide.com | estore.ibpsguide.com | www.sscexamguide.com 7 Complete Quantitative Aptitude Questions c) 2405 d) 1540 e) 1980 18) Mithun went to a shop and bought things worth Rs. 75, out of which 90 Paise went on sales tax on taxable purchases. If the tax rate was 18%, then what was the cost of the tax free items? a) 12.5 b) 69.80 c) 19.7 d) 34.5 e) 69.1 19) From the salary of shreya, 15% is deducted as house rent, 15% she spends on children’s education and 20% on watching movies. If her savings are Rs.8450/- then her total salary is: a) 13500 b) 2360 c) 16900 d) 11520 e) 23198 20) Forty percent of Mouli’s annual salary is equal to 160% of Surya’s annual salary. Surya’s monthly salary is 80%of Gowthaman’s monthly salary. If Gowthaman’s annual salary is ` 12 lacs, what is Mouli’s monthly salary ? (At some places annual income and in some place monthly income is given.) a) 180000 b) 1200000 c) 320000 d) 250000 11) Answer: D Let sister's weight be 100 kg. Then brother's weight = (100 + 25) kg = 125 kg If brother's weight is 125 kg, then sister's weight is 100 kg. If brother's weight is 1 kg, then sister's weight is 100/125 kg If brother's weight is 100 kg, then sister's weight = (100/125 × 100) kg Therefore, sister's weight is 20 % less than that of brother. 12) Answer: E www.ibpsguide.com | estore.ibpsguide.com | www.sscexamguide.com 8 Complete Quantitative Aptitude Questions Total hours in a day = 24 Required percent = 12/24 ×100 = 50% 13) Answer: B (1/6) ×(1/2)×(3/4)× x = 25 x/16 =25 x = 25×16 x = 400 30 % of 400 = 30/100 ×400 = 12000/100 = 120 14). Answer: D 60 kg = 36 kg dhal 24 kg rice -------- 15 kg dhal Total = 15 kg dhal 24 kg rice (new) 24/75×100=32% 15) Answer: D 90 kg = 81 kg sugar 9 kg rava Adding = 30 kg sugar Total = 111kg sugar 9kg rava (new) 111/120 × 100 = 92.5 =92 1 /2 16) Answer: B Let the money he took for shopping be x. Money he spent = 40 % of x = 40/100 × x = 4/10 x Money left with him = x – 4/10 x = (10x – 4x)/10 = 6x/10 But money left with him = 3600 Therefore 6x/10 = 3600 x = 3600× 10/6 x = 36000/6 x = 6000 Therefore, the money he took for shopping is 6000. www.ibpsguide.com | estore.ibpsguide.com | www.sscexamguide.com 9 Complete Quantitative Aptitude Questions 17) Answer: E Let the amount paid to X per week = x and the amount paid to Y per week = y Then x + y = 4950 But x = 150% of y = 150y/100 = 15y/10 ∴15y/10 + y = 4950 ⇒ y[15/10 + 1] = 4950 ⇒ 25y/10 = 4950 ⇒ 25y = 49500 ⇒ y = 49500/25 y = Rs.1980 18) Answer: E Total cost of the items he purchased = Rs.75 Given that out of this Rs.75, 90 Paise is given as tax => Total tax incurred = 90 Paise = Rs.90/100 Let the cost of the tax free items = x Given that tax rate = 18% ∴ (75− 90/100 − x)18/100 = 90/100 ⇒ 18(75 −0.9 −x) = 90 ⇒ (75 − 0.9 − x) = 5 x = 75 − 0.9 – 5 X=69.1 19) Answer: C She spends = 50% remaining 50% = 8450 Total salary = 8450 × 100 / 50 = 845000 / 50 = 16900 20) Answer: C Gowthaman’s monthly salary = 12,00,000/12 = 1,00,000 Surya’s monthly salary = 1,00,000 x 80/100 www.ibpsguide.com | estore.ibpsguide.com | www.sscexamguide.com 10

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