IPPB Pre Quiz Series 4, IPPB Pre online test series 4th, IPPB mock test
IPPB Pre Quiz Series 4, IPPB Pre Online Test Series 4th, IPPB Mock Test
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IPPB Pre Quiz Series 4, IPPB Pre online test series 4th, IPPB mock test. RRB Exam Online Test 2019, IPPB Prelims Free Mock Test Exam 2019. IPPB Prelims Exam Free Online Quiz 2019, IPPB Prelims Full Online Mock Test Series 4th in English. RRB Online Test for All Subjects, IPPB Prelims Free Mock Test Series in English. IPPB Prelims Free Mock Test Series 4. IPPB Prelims English Language Online Test in English Series 4th. IPPB Prelims Quantitative Aptitude Quiz 2019, IPPB Prelims Reasoning Ability Free Online Test. Take IPPB Prelims Online Quiz. The IPPB Prelims Full online mock test paper is free for all students. IPPB Prelims Question and Answers in English and Hindi Series 4. Here we are providing IPPB Prelims Full Mock Test Paper in English. IPPB Prelims Mock Test Series 4th 2019. Now Test your self for IPPB Prelims Exam by using below quiz…
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                            Question 1 of 501. QuestionA question paper consists of five problems, each problem having three internal choices. In how many ways can a candidate attempt one or more problems? Correct
 Given that, the question paper consists of five problems. For each problem, one or two or three or none of the choices can be attempted. 
 Hence, the required number of ways = 45 – 1.
 = 210 – 1 = 1024 – 1 = 1023Incorrect
 Given that, the question paper consists of five problems. For each problem, one or two or three or none of the choices can be attempted. 
 Hence, the required number of ways = 45 – 1.
 = 210 – 1 = 1024 – 1 = 1023
- 
                            Question 2 of 502. QuestionA train running at the speed of 60 km/hr crosses a pole in 9 sec. What is the length of the train? Correct
 Speed = 60 * 5/18 = 50/3 m/sec 
 Length of the train = speed * time = 50/3 * 9 = 150 mIncorrect
 Speed = 60 * 5/18 = 50/3 m/sec 
 Length of the train = speed * time = 50/3 * 9 = 150 m
- 
                            Question 3 of 503. QuestionWhat is the least number, which is perfect square but contains 2700 as its factor? Correct
 900 * 3 * 3 = 8100 Incorrect
 900 * 3 * 3 = 8100 
- 
                            Question 4 of 504. QuestionFind the one which does not belong to that group ? Correct
 Crocodile, Turtle, Allegator and Frog are amphibians, while Chameleon is a terrestrial animal. Incorrect
 Crocodile, Turtle, Allegator and Frog are amphibians, while Chameleon is a terrestrial animal. 
- 
                            Question 5 of 505. QuestionSimplify the following: 
 (169/121)-3/2 * 27/2 * (13/22)-1Correct
 (169/121)-3/2 * 27/2 * (13/22)-1 
 (132/112)-3/2 * 27/2 * 22/13 = 13-3/11-3 * 27/2 * 22/13
 = 13-4 114 33Incorrect
 (169/121)-3/2 * 27/2 * (13/22)-1 
 (132/112)-3/2 * 27/2 * 22/13 = 13-3/11-3 * 27/2 * 22/13
 = 13-4 114 33
- 
                            Question 6 of 506. Question40 is subtracted from 60% of a number, the result is 50. Find the number? Correct
 (60/100) * X – 40 = 50 
 6X = 900
 X = 150Incorrect
 (60/100) * X – 40 = 50 
 6X = 900
 X = 150
- 
                            Question 7 of 507. QuestionTwo trains are running in opposite directions with the same speed. If the length of each train is 120 m and they cross each other in 12 sec, then the speed of each train is? Correct
 Let the speed of each train be x m/sec. 
 Then, relative speed of the two trains = 2x m/sec.
 So, 2x = (120 + 120)/12 => x = 10
 Speed of each train = 10 m/sec.
 = 10 * 18/5 =- 36 km/hr.Incorrect
 Let the speed of each train be x m/sec. 
 Then, relative speed of the two trains = 2x m/sec.
 So, 2x = (120 + 120)/12 => x = 10
 Speed of each train = 10 m/sec.
 = 10 * 18/5 =- 36 km/hr.
- 
                            Question 8 of 508. Question50 men can complete a work in 65 days.Five days after started the work, 20 men left the group. In how many days can the remaining work be completed? Correct
 After 5 days, the following situation prevails. 
 50 men can complete the work in 60 days.
 30 men can complete the work in ? days.
 M1 D1 = M2 D2
 => 50 * 60 = 30 * D2
 => D2 = (50 * 60)/30 = 100 days.Incorrect
 After 5 days, the following situation prevails. 
 50 men can complete the work in 60 days.
 30 men can complete the work in ? days.
 M1 D1 = M2 D2
 => 50 * 60 = 30 * D2
 => D2 = (50 * 60)/30 = 100 days.
- 
                            Question 9 of 509. QuestionThe least square number which divides 8, 12 and 18 is? Correct
 LCM = 72 
 72 * 2 = 144Incorrect
 LCM = 72 
 72 * 2 = 144
- 
                            Question 10 of 5010. QuestionHow much time will take for an amount of Rs. 450 to yield Rs. 81 as interest at 4.5% per annum of simple interest? Correct
 Time = (100 * 81) / (450 * 4.5) = 4 years Incorrect
 Time = (100 * 81) / (450 * 4.5) = 4 years 
- 
                            Question 11 of 5011. QuestionA gets 3 times as much money as B gets, B gets only Rs.25 more then what C gets. The three gets Rs.675 in all. Find the share of B? Correct
 A+B+C = 675 
 A = 3B
 3B+B+B-25 = 675
 5B = 700
 B = 140Incorrect
 A+B+C = 675 
 A = 3B
 3B+B+B-25 = 675
 5B = 700
 B = 140
- 
                            Question 12 of 5012. QuestionTwenty four men can do a work in 35 days. How many men are required to complete the work in 21 days? Correct
 We have M1 D1 = M2 D2 
 So, 24 * 35 = M2 * 21 => M2 = 40.Incorrect
 We have M1 D1 = M2 D2 
 So, 24 * 35 = M2 * 21 => M2 = 40.
- 
                            Question 13 of 5013. QuestionA rope of which a calf is tied is increased from 12 m to 23 m, how much additional grassy ground shall it graze? Correct
 π (232 – 122) = 1210 Incorrect
 π (232 – 122) = 1210 
- 
                            Question 14 of 5014. QuestionA train 240 m in length crosses a telegraph post in 16 seconds. The speed of the train is? Correct
 S = 240/16 * 18/5 = 54 kmph Incorrect
 S = 240/16 * 18/5 = 54 kmph 
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                            Question 15 of 5015. QuestionA is twice as fast as B. If B alone can do a piece of work in 30 days, in what time can A and B together complete the work? Correct
 A can do the work in 30/2 i.e., 15 days. 
 A and B’s one day’s work = 1/15 + 1/30 = (2 + 1)/30 = 1/10
 So A and B together can do the work in 10 days.Incorrect
 A can do the work in 30/2 i.e., 15 days. 
 A and B’s one day’s work = 1/15 + 1/30 = (2 + 1)/30 = 1/10
 So A and B together can do the work in 10 days.
- 
                            Question 16 of 5016. QuestionRobert is traveling on his cycle and has calculated to reach point A at 2 p.m. if he travels at 10 km/hr; he will reach there at 12 noon if he travels at 15 km/hr. At what speed must he travel to reach A at 1 p.m.? Correct
 Let the distance traveled be x km. 
 Then, x/10 – x/15 = 2
 3x – 2x = 60 => x = 60 km.
 Time taken to travel 60 km at 10 km/hr = 60/10 = 6 hrs.
 So, Robert started 6 hours before 2. p.m. i.e., at 8 a.m.
 Required speed = 60/5 = 12 kmph.
 Learn more problems on : Time and DistanceIncorrect
 Let the distance traveled be x km. 
 Then, x/10 – x/15 = 2
 3x – 2x = 60 => x = 60 km.
 Time taken to travel 60 km at 10 km/hr = 60/10 = 6 hrs.
 So, Robert started 6 hours before 2. p.m. i.e., at 8 a.m.
 Required speed = 60/5 = 12 kmph.
 Learn more problems on : Time and Distance
- 
                            Question 17 of 5017. QuestionA number when divided by 221 gives a remainder 43, what remainder will be obtained by dividing the same number 17? Correct
 221 + 43 = 264/17 = 9 (Remainder) Incorrect
 221 + 43 = 264/17 = 9 (Remainder) 
- 
                            Question 18 of 5018. QuestionWhat is the rate percent when the simple interest on Rs.800 amount to Rs.160 in 4 Years? Correct
 160 = (180*4*R)/100 
 R = 5%Incorrect
 160 = (180*4*R)/100 
 R = 5%
- 
                            Question 19 of 5019. QuestionThree number are in the ratio 5:6:7. The sum of its largest and smallest numbers equals the sum of the third number and 48. Find the third number? Correct
 Let the numbers be 5x, 6x and 7x. 
 Largest number = 7x
 Smallest number = 5x
 Third number = 6x
 7x + 5x = 6x + 48
 6x = 48
 Third number is: 48.Incorrect
 Let the numbers be 5x, 6x and 7x. 
 Largest number = 7x
 Smallest number = 5x
 Third number = 6x
 7x + 5x = 6x + 48
 6x = 48
 Third number is: 48.
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                            Question 20 of 5020. QuestionA manufacturer sells a pair of glasses to a wholesale dealer at a profit of 18%. The wholesaler sells the same to retailer at a profit of 20%. The retailer in turn sells them to a customer for Rs. 30.09, there by earning a profit of 25%. The cost price for the manufacturer is: Correct
 Let the cost price for the manufacturer be Rs. x. Then, 125% of 120% of 118% of x = 30.09. 
 125/100 * 120/100 * 118/100 * x = 3009/100
 177/100 x = 3009/100 => x = 17Incorrect
 Let the cost price for the manufacturer be Rs. x. Then, 125% of 120% of 118% of x = 30.09. 
 125/100 * 120/100 * 118/100 * x = 3009/100
 177/100 x = 3009/100 => x = 17
- 
                            Question 21 of 5021. QuestionSimple interest on a sum at 4% per annum for 2 years is Rs.80. The C.I. on the same sum for the same period is? Correct
 SI = 40 + 40 
 CI = 40 + 40 + 1.6 = 81.6Incorrect
 SI = 40 + 40 
 CI = 40 + 40 + 1.6 = 81.6
- 
                            Question 22 of 5022. QuestionSreenivas sells a table to Shiva at 10% profit and Shiva sells it to Mahesh at 10% loss. At what price did Sreenivas purchase the table if Mahesh paid Rs. 2178? Correct
 Let the cost price of table for Sreenivas be Rs. x and given that, cost price of table for Mahesh = Rs. 2178. 
 => (90%) of (110%) of x = Rs. 2178.
 => (90/100)(110/100)x = 2178
 => x = (2178 * 100)/(9 * 11)
 => x = Rs. 2200Incorrect
 Let the cost price of table for Sreenivas be Rs. x and given that, cost price of table for Mahesh = Rs. 2178. 
 => (90%) of (110%) of x = Rs. 2178.
 => (90/100)(110/100)x = 2178
 => x = (2178 * 100)/(9 * 11)
 => x = Rs. 2200
- 
                            Question 23 of 5023. QuestionFind the ratio of the curved surfaces of two cylinders of same heights if their radii are in the ratio 1:2. Correct
 Incorrect
 
- 
                            Question 24 of 5024. QuestionFind the greatest number of four digits which when divided by 10, 15, 21 and 28 leaves 4, 9, 15 and 22 as remainders respectively? Correct
 
 420) 9999 (23
 = 9660
 = ———
 = 339
 9999 – 339 = 9660 – 6 = 9654Incorrect
 
 420) 9999 (23
 = 9660
 = ———
 = 339
 9999 – 339 = 9660 – 6 = 9654
- 
                            Question 25 of 5025. QuestionIf 70% of an equal to 40% of b, then ratio between a and b is? Correct
 70 a = 40 b 
 a: b = 4: 7Incorrect
 70 a = 40 b 
 a: b = 4: 7
- 
                            Question 26 of 5026. Question184 * 216 – 81 + 119 / 0.7 = ? Correct
 184 * 216 – 81 + 119 / 0.7 = 184/216 – 81 + 170 
 Using the concept of digit roots we can say digit root of 180 = 1 + 8 + 4 = 13 = 1 + 3 = 4.
 i.e. we keep adding the digits till we get the sum as a single digit number.
 Digit root of 216 is 0
 Digit root of 81 is 0.
 Digit root of 170 is 1 + 7 + 0 = 8
 Thus the digit root of the answer must be (4)(0) – 0 + 8 = 8.
 (39439) digit root is 3 + 9 + 4 + 3 + 9 = 28 2 + 8 = 10 1 + 0 = 1.
 Digit root is 1.
 Similarly the digit root of 39394 is 1 digit root of 94934 is 2.
 Where as the digit root of 33949 is 1. Thus none of them could be the answer, hence the answer is choice (5) or 184 * 216 – 81 + 170 = 39833.Incorrect
 184 * 216 – 81 + 119 / 0.7 = 184/216 – 81 + 170 
 Using the concept of digit roots we can say digit root of 180 = 1 + 8 + 4 = 13 = 1 + 3 = 4.
 i.e. we keep adding the digits till we get the sum as a single digit number.
 Digit root of 216 is 0
 Digit root of 81 is 0.
 Digit root of 170 is 1 + 7 + 0 = 8
 Thus the digit root of the answer must be (4)(0) – 0 + 8 = 8.
 (39439) digit root is 3 + 9 + 4 + 3 + 9 = 28 2 + 8 = 10 1 + 0 = 1.
 Digit root is 1.
 Similarly the digit root of 39394 is 1 digit root of 94934 is 2.
 Where as the digit root of 33949 is 1. Thus none of them could be the answer, hence the answer is choice (5) or 184 * 216 – 81 + 170 = 39833.
- 
                            Question 27 of 5027. QuestionThe number of ways in which six boys and six girls can be seated in a row for a photograph so that no two girls sit together is -. Correct
 We can initially arrange the six boys in 6! ways. 
 Having done this, now three are seven places and six girls to be arranged. This can be done in ⁷P₆ ways.
 Hence required number of ways = 6! * ⁷P₆Incorrect
 We can initially arrange the six boys in 6! ways. 
 Having done this, now three are seven places and six girls to be arranged. This can be done in ⁷P₆ ways.
 Hence required number of ways = 6! * ⁷P₆
- 
                            Question 28 of 5028. QuestionA train crosses a platform of 120 m in 15 sec, same train crosses another platform of length 180 m in 18 sec. then find the length of the train? Correct
 Length of the train be ‘X’ 
 X + 120/15 = X + 180/18
 6X + 720 = 5X + 900
 X = 180mIncorrect
 Length of the train be ‘X’ 
 X + 120/15 = X + 180/18
 6X + 720 = 5X + 900
 X = 180m
- 
                            Question 29 of 5029. Question242 + 420 + 1611 + 647 equals Correct
 242 + 240 + 244 + 242 
 = 240(22 + 1 + 24 + 22)
 = 240 * 25 = 240 * 52Incorrect
 242 + 240 + 244 + 242 
 = 240(22 + 1 + 24 + 22)
 = 240 * 25 = 240 * 52
- 
                            Question 30 of 5030. QuestionHow many meters of carpet 50cm, wide will be required to cover the floor of a room 30m * 20m? Correct
 50/100 * x = 30 * 20 => x = 1200 Incorrect
 50/100 * x = 30 * 20 => x = 1200 
- 
                            Question 31 of 5031. QuestionA, B and C invested Rs.6300, Rs.4200 and Rs.10500 respectively, in a partnership business. Find the share of A in profit of Rs.12100 after a year? Correct
 6300:4200:10500 
 3:2:5
 3/10 * 12100 = 3630Incorrect
 6300:4200:10500 
 3:2:5
 3/10 * 12100 = 3630
- 
                            Question 32 of 5032. QuestionA man could buy a certain number of notebooks for Rs.300. If each notebook cost is Rs.5 more, he could have bought 10 notebooks less for the same amount. Find the price of each notebook? Correct
 Let the price of each note book be Rs.x. 
 Let the number of note books which can be brought for Rs.300 each at a price of Rs.x be y.
 Hence xy = 300
 => y = 300/x
 (x + 5)(y – 10) = 300 => xy + 5y – 10x – 50 = xy
 =>5(300/x) – 10x – 50 = 0 => -150 + x2 + 5x = 0
 multiplying both sides by -1/10x
 => x2 + 15x – 10x – 150 = 0
 => x(x + 15) – 10(x + 15) = 0
 => x = 10 or -15
 As x>0, x = 10.Incorrect
 Let the price of each note book be Rs.x. 
 Let the number of note books which can be brought for Rs.300 each at a price of Rs.x be y.
 Hence xy = 300
 => y = 300/x
 (x + 5)(y – 10) = 300 => xy + 5y – 10x – 50 = xy
 =>5(300/x) – 10x – 50 = 0 => -150 + x2 + 5x = 0
 multiplying both sides by -1/10x
 => x2 + 15x – 10x – 150 = 0
 => x(x + 15) – 10(x + 15) = 0
 => x = 10 or -15
 As x>0, x = 10.
- 
                            Question 33 of 5033. QuestionA batsman makes a score of 64 runs in the 16th innings and thus increased his average by 3. Find his average after the 16th inning? Correct
 Let the average after the 16th inning be P. 
 So, the average after the 15th inning will be (P-3) Hence, 15(P-30) + 64 = 16P => P = 19.Incorrect
 Let the average after the 16th inning be P. 
 So, the average after the 15th inning will be (P-3) Hence, 15(P-30) + 64 = 16P => P = 19.
- 
                            Question 34 of 5034. Question(a-3 b-2 / a2 b2)-3 * (a3 b-4 / a-3 b3) / (a-2 b3/a-4 b-3) = ? Correct
 (a-3 b-2 / a2 b2)-3 * (a3 b-4 / a-3 b3) / (a-2 b3/a-4 b-3) 
 = (a-5 b-4)-3 * a6b-7 / a2b6
 = a15b12 * a6b-7 * a-2b-6
 = a19 b-1Incorrect
 (a-3 b-2 / a2 b2)-3 * (a3 b-4 / a-3 b3) / (a-2 b3/a-4 b-3) 
 = (a-5 b-4)-3 * a6b-7 / a2b6
 = a15b12 * a6b-7 * a-2b-6
 = a19 b-1
- 
                            Question 35 of 5035. QuestionA began business with Rs.45000 and was joined afterwards by B with Rs.5400. When did B join if the profits at the end of the year were divided in the ratio of 2:1? Correct
 45*12 : 54*x = 2: 1 
 x = 5
 12 -5 = 7Incorrect
 45*12 : 54*x = 2: 1 
 x = 5
 12 -5 = 7
- 
                            Question 36 of 5036. Question15% of 195 + 14% of 205 = ? Correct
 15/100 * 195 + 14/100 * 205 = 15/100 * 200 + 14/100 * 200 
 = 30 + 28 = 58Incorrect
 15/100 * 195 + 14/100 * 205 = 15/100 * 200 + 14/100 * 200 
 = 30 + 28 = 58
- 
                            Question 37 of 5037. QuestionFind the one which does not belong to that group ? Correct
 Except Regiment, all others are caders of army officers. Incorrect
 Except Regiment, all others are caders of army officers. 
- 
                            Question 38 of 5038. QuestionThe parameter of a square is double the perimeter of a rectangle. The area of the rectangle is 480 sq cm. Find the area of the square. Correct
 Let the side of the square be a cm. Let the length and the breadth of the rectangle be l cm and b cm respectively. 
 4a = 2(l + b)
 2a = l + b
 l . b = 480
 We cannot find ( l + b) only with the help of l . b. Therefore a cannot be found .
 Area of the square cannot be found.Incorrect
 Let the side of the square be a cm. Let the length and the breadth of the rectangle be l cm and b cm respectively. 
 4a = 2(l + b)
 2a = l + b
 l . b = 480
 We cannot find ( l + b) only with the help of l . b. Therefore a cannot be found .
 Area of the square cannot be found.
- 
                            Question 39 of 5039. QuestionFind the number which multiplied by 15 is increased by 196. Correct
 Let the number be x. Then, 
 15x – x = 196
 x = 14Incorrect
 Let the number be x. Then, 
 15x – x = 196
 x = 14
- 
                            Question 40 of 5040. QuestionFind the one which does not belong to that group ? Correct
 42624, 37573, 74347 and 93339 are palindromes but not 84284. Incorrect
 42624, 37573, 74347 and 93339 are palindromes but not 84284. 
- 
                            Question 41 of 5041. Question{20 – [7 – (3 -2)] + 1/3 (4.2)} / 1.4 = ? Correct
 {20 – [7 – (3 -2)] + 1/3 (4.2)} / 1.4 
 => [20 – (7 – 1) + 1.4] / 1.4
 => (20 – 6 + 1.4)/1.4 = 10 + 1 = 11Incorrect
 {20 – [7 – (3 -2)] + 1/3 (4.2)} / 1.4 
 => [20 – (7 – 1) + 1.4] / 1.4
 => (20 – 6 + 1.4)/1.4 = 10 + 1 = 11
- 
                            Question 42 of 5042. QuestionThe average of 11 results is 50, if the average of first six results is 49 and that of the last six is 52. Find the sixth result? Correct
 1 to 11 = 11 * 50 = 550 
 1 to 6 = 6 * 49 = 294
 6 to 11 = 6 * 52 = 312
 6th = 294 + 312 – 550 = 56Incorrect
 1 to 11 = 11 * 50 = 550 
 1 to 6 = 6 * 49 = 294
 6 to 11 = 6 * 52 = 312
 6th = 294 + 312 – 550 = 56
- 
                            Question 43 of 5043. QuestionDivide Rs.118000 among three persons A, B and C such that the ratio of the shares of A and B is 3:4 and that of B:C is 5:6? Correct
 Compound ratio of A:B:C 
 A:B = 3:4
 B:C = 5:6
 ———-
 A:B:C = 15:20:24
 We can divide Rs.118000 in this ratio.
 Share of A = 15/59 * 118000 = 30000
 Share of B = 20/59 * 118000 = 40000
 Share of C = 24/59 * 118000 = 48000Incorrect
 Compound ratio of A:B:C 
 A:B = 3:4
 B:C = 5:6
 ———-
 A:B:C = 15:20:24
 We can divide Rs.118000 in this ratio.
 Share of A = 15/59 * 118000 = 30000
 Share of B = 20/59 * 118000 = 40000
 Share of C = 24/59 * 118000 = 48000
- 
                            Question 44 of 5044. QuestionIn a mixture of milk and water, the proportion of milk by weight was 80%. If, in a 180 gm mixture, 36 gms of pure milk is added, what would be the percentage of milk in the mixture formed? Correct
 Percentage of milk in the mixture formed = [80/100 (180) + 36] / (180 + 36) * 100% = (144 + 36)/216 * 100% = 5/6 * 100% = 83.33%. Incorrect
 Percentage of milk in the mixture formed = [80/100 (180) + 36] / (180 + 36) * 100% = (144 + 36)/216 * 100% = 5/6 * 100% = 83.33%. 
- 
                            Question 45 of 5045. QuestionIn a pair of fractions, fraction A is twice the fraction B and the product of two fractions is 2/25. What is the value of fraction A? Correct
 A = 2B => B = 1/2 A, so, AB = 2/25 
 1/2 A2 = 2/25
 A2 = 4/25
 A = 2/5Incorrect
 A = 2B => B = 1/2 A, so, AB = 2/25 
 1/2 A2 = 2/25
 A2 = 4/25
 A = 2/5
- 
                            Question 46 of 5046. QuestionIn an election only two candidates contested. A candidate secured 70% of the valid votes and won by a majority of 172 votes. Find the total number of valid votes? Correct
 Let the total number of valid votes be x. 
 70% of x = 70/100 * x = 7x/10
 Number of votes secured by the other candidate = x – 7x/100 = 3x/10
 Given, 7x/10 – 3x/10 = 172 => 4x/10 = 172
 => 4x = 1720 => x = 430.Incorrect
 Let the total number of valid votes be x. 
 70% of x = 70/100 * x = 7x/10
 Number of votes secured by the other candidate = x – 7x/100 = 3x/10
 Given, 7x/10 – 3x/10 = 172 => 4x/10 = 172
 => 4x = 1720 => x = 430.
- 
                            Question 47 of 5047. QuestionSum of two numbers is 80. Greater number exceeds by 5 from four times of the smaller. Find the numbers? Correct
 x + y = 80 
 x – 4y = 5
 x = 65 y = 15Incorrect
 x + y = 80 
 x – 4y = 5
 x = 65 y = 15
- 
                            Question 48 of 5048. Question(0.9 * 0.9 – 0.8 * 0.8)/1.7 = ? Correct
 As numerator is of the form a2 – b2 = (a + b) (a – b), so the given expression simplifying becomes 
 (0.92 – 0.82)/(0.9 + 0.8) (0.9 + 0.8) (0.9 – 0.8)/0.9 + 0.8 = 0.1Incorrect
 As numerator is of the form a2 – b2 = (a + b) (a – b), so the given expression simplifying becomes 
 (0.92 – 0.82)/(0.9 + 0.8) (0.9 + 0.8) (0.9 – 0.8)/0.9 + 0.8 = 0.1
- 
                            Question 49 of 5049. QuestionAn automobile financier claims to be lending money at S.I., but he includes the interest every six months for calculating the principal. If he is charging an interest of 10%, the effective rate of interest becomes? Correct
 Let the sum be Rs. 100. Then, 
 S.I. for first 6 months = (100 * 10 *1) / (100 * 2) = Rs. 5
 S.I. for last 6 months = (105 * 10 * 1) / (100 * 2) = Rs. 5.25
 So, amount at the end of 1 year = (100 + 5 + 5.25) = Rs. 110.25
 Effective rate = (110.25 – 100) = 10.25%.Incorrect
 Let the sum be Rs. 100. Then, 
 S.I. for first 6 months = (100 * 10 *1) / (100 * 2) = Rs. 5
 S.I. for last 6 months = (105 * 10 * 1) / (100 * 2) = Rs. 5.25
 So, amount at the end of 1 year = (100 + 5 + 5.25) = Rs. 110.25
 Effective rate = (110.25 – 100) = 10.25%.
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                            Question 50 of 5050. QuestionThe ratio of two numbers is 2:3 and the sum of their cubes is 945. The difference of number is? Correct
 2x 3x 
 8x cube + 27x cube = 945
 35x cube = 945
 x cube = 27 => x = 3Incorrect
 2x 3x 
 8x cube + 27x cube = 945
 35x cube = 945
 x cube = 27 => x = 3
 
 