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    24Oct, 2020
    Quantitative Aptitude: Simplification Questions Set 100
    1. Study the following and answer the questions:
      1599 / 39 * 289 – 345 + 423 = ?
      11900
      11927
      12127
      13522
      None of these
      Option B
      =11849 + 423 – 345

       

    2. (√9)^2 * (√81)^5 / (27)^2 = 9^x
      3
      2
      4
      6
      8
      Option A
      = 9 * 9^5 /9^3

       

    3. 6(7/11) * 5(4/9) / 9(1/4) = ?
      2
      3
      5
      4
      None of these
      Option D

       

    4. (601/49) * (399/81) / (29/201) = ?
      422
      419
      520
      515
      None of these
      Option B

       

    5. (16)^3 / (512/8) * (2*8)^2 = 2^x
      16
      14
      15
      10
      None of these
      Option B
      =4096 / 64 * 256

       

    6. (325.25 / 25) % of 3223 = x +267
      152
      150
      155
      160
      None of these
      Option A

       

    7. (1/6) * 5640 + 285 = x^2
      35
      55
      45
      25
      None of these
      Option A
      =5640 / 6 +285 = 940 + 285

       

    8. (2505 / 15 ) * 25 = x% of 7865
      48
      53
      45
      65
      None of these
      Option B
      =167 * 25 =4175
      =4175 = x * 7865 / 100

       

    9. (11.08)^2 + (24.88) ^2 + x= 751
      8.50
      9.22
      5.55
      10.22
      None of these
      Option B

       

    10. 9^2 * (1/6561) * 729 = 9^x
      3
      1
      5
      4
      8
      Option B

       


    01
    14Oct, 2020
    Quantitative Aptitude: Number Series Set 134
    1. Study the following and answer the questions:

      10 ,24 , 64 , 268 , 1324 , ?

      7964
      7852
      8125
      8002
      None of these
      Option A
      (10*2+4) =24
      (24*3-8) = 64
      (64*4+12) = 268

       

    2. 147 , 151 , 160 , 176 , 201 , ?
      250
      255
      237
      245
      None of these
      Option C
      (147+2^2)=151
      (151+3^2)=160

       

    3. 50 , 51 , 51 , 53 , 106 , 109 , 327 , ?
      333
      335
      331
      337
      330
      Option C
      (50+1)=51
      (51*1)=51
      (51+2)=53
      (53*2)=106

       

    4. 26 , 25 , 26 , 31 , 42 , 61 , ?
      90
      100
      110
      120
      125
      Option A

       

    5. 686 , 438, 314 , 252 , 221 , ?
      205.5
      210
      215
      220
      Non eof these
      Option A

       

    6. 6 , 6 , 4 , 8 , 3.2 , 9.6 , ?
      2.8
      2.4
      10.5
      11.5
      12.0
      Option A
      6*1=6
      6/1.5=4
      4*2=8
      8/2.5=3.2

       

    7. 5 , 9 , 36 , 208 , 1398 , ?
      11500
      11472
      11654
      11540
      None of these
      Option B
      (5+2^2)*1=9
      (9+3^2)*2=36
      (36+4^2)*4=208

       

    8. 2 ,7 , 29 , 85 , 192 , ?
      367
      350
      354
      371
      375
      Option A

       

    9. 1 , 9 , 25 , 49 , 81 , 121 , 169 , ?
      256
      225
      181
      361
      391
      Option B

       

    10. 15 , 27 , 44 , 66 , 93 , ?
      125
      150
      135
      140
      None of these
      Option A
      15 + 12 =27
      27+(12+5)=44
      44+(17+5)=66

       


    02
    9Sep, 2020
    Quantitative Aptitude: Probability Questions – Set 15
    1. A carton contains 21 balls numbered 1 to 21. A ball is drawn and then another ball is drawn without replacement. What is the probability that both balls are even numbered?
      3/14
      2/7
      4/14
      5/16
      None of these
      Option A
      Required probability = 10/21 * 9/20

       

    2. There are 3 grey, 4 olive and 5 white color balls in a bag. If a ball is picked at random, what is the probability of having either a grey or a white ball?
      1/2
      2/3
      3/4
      4/9
      None of these
      Option B
      P(E1 or E2) = P(E1) + P(E2)
      =1/4 + 5/ 12

       

    3. A carton contains pieces with numbers from 1 to 50 written on them. A piece is drawn and replaced. Then another piece is drawn and after replacing another piece is drawn. What is the probability that an even number appears on the first draw, an odd number on the second draw and a number divisible by 3 on the third draw?
      4/25
      1/25
      2/25
      Cannot be determined
      None of these
      Option C
      So, the probability of all the events taking place is:
      1/2 * 1/2 * 16/50

       

    4. When 4 fair coins are tossed togethe what is probability of getting at least 3 heads?
      5/16
      3/4
      7/13
      10/14
      None of these
      Option A

       

    5. A committee of 3 members is to be made out of 6 boys and 5 girls. What is the probability that the committee has at least two girls?
      14/33
      10/32
      15/31
      17/35
      None of these
      Option A
      Total possibe outcomes=11C3

       

    6. There are 15 males and 10 female in a class. If three candidates are selected at random, what is the probability that 1 female and 2 males are selected?
      20/34
      21/46
      31/39
      21/47
      None of these
      Option B
      Probability=(15C2 * 10C1) /25C3

       

    7. Three dice are thrown togeth. Find the probability of getting total of at least 6 ?
      103/108
      105/109
      101/105
      114/117
      None of these
      Option A

       

    8. A bag contains 6 pale and 5 yale balls. One ball is drawn randomly. What is the probability that the ball drawn is Pale color?
      4/11
      5/11
      7/11
      6/11
      8/11
      Option D
      Probability=6C1/11C1

       

    9. In a carton there are 10 mangoes and 2/5th of the mangoes are rotten. If three mangoes are taken out from the carton, what will be the probability that at least one mango is rotten?
      5/6
      4/5
      7/9
      11/13
      None of these
      Option A

       

    10. A bag contains 5 yale and 2 grey and 3 ruby colour dice. If one dice from the bag are chosen at random, what is the probability that dice is either yale or ruby colour?
      4/5
      5/9
      10/13
      14/15
      None of these
      Option A
      Total outcomes=(5C1/10C1) + (3C1 /10C1)

       


    03
    3Sep, 2020
    Quantitative Aptitude: Partnership Set 18
    1. Akash, Brijesh and Ceom enter into a partnership and their shares are in ratio 1/2 : 1/3 : 1/4, after 2 months, Akash withdraws half of his capital and after 12 months, a profit of Rs 1050 is divided among them. What is Brijesh’s share ?
      Rs 400
      Rs 450
      Rs 500
      Rs 550
      None of these
      Option A
      Ratio of investments =1/2 : 1/3 : 1/4 , LCM of 2, 3, 4 = 12 ,
      multiply ratios with 12 we get 6 : 4 : 3 , so,initial investment be 6x, 2x and 3x.
      =(6x X 2 + 3x X 10 ) : (4x X 12) :(3x X 12) = 7:8:6
      Brijesh’s share= (8/21) x 1050 = Rs 400

       

    2. P started a business with Rs. 21,000 and is joined afterwards by Q with Rs. 36,000. After how many months did Q join if the profits at the end of the year are divided equally?
      4 months
      5 months
      3 months
      7 months
      None of these
      Option B
      Let B joined after x months
      Then, 21000 x 12 = 36000 x (12 – x)36 = 180x = 5
      Hence, B joined after 5 months

       

    3. A and B are partners in a business. A contributes 1 / 4 of the capital for 15 months and B received 2 / 3 of the profit, for how long B’s money was used ?
      9 months
      11 months
      10 months
      8 months
      None of these
      Option C
      Let total profit is x.
      Then B’s share in profit= (2/3)x
      so A’s share in profit= x- (2/3)x =x/3
      so,we get ratios of profit of A :B :: 1:2
      Let total capital invested be Rs P and A’s money was used for 15 months while B’s money was used for b months .
      then, (1/4)P X 15 divide by (3/4)P x b = 1/2 [ Capital x time =profit]
      so,we get b=10
      B’s money was used for 10 months

       

    4. In a business Priyanka and Riya invested amounts in the ratio 2 :1, whereas the ratio between amounts invested by Priyanka and Quetzal was 3 : 2 . If Rs. 2,236 was their profit, how much amount did Quetzal receive ?
      Rs 666
      Rs 652
      Rs 688
      Rs 672
      Rs 676
      Option C
      Priyanka : Quetzal = 3 : 2 , Priyanka : Riya = 2 : 1 [given]
      Quetzal : Priyanka = 2 : 3 [reverse], Quetzal : Priyanka = 4 : 6 [multiply by 2]
      Now, Priyanka : Riya = 2 : 1
      Priyanka : Riya = 6 : 3 [multiply by 3]
      Priyanka : Quetzal =6 : 4 [after x3]
      , So Quetzal : Priyanka : Riya = 4 : 6 : 3
      or, Priyanka : Quetzal: Riya = 6 : 4 : 3
      Quetzal’s share= 4/13 x 2236=Rs.688

       

    5. A and B started a partnership business investing some amount in the ratio of 3:5. C joined them after six months with an amount equal to that of B. In what proportion should the profit at the end of one year be distributed among A,B and C?
      2:5:7
      8:11:15
      6:10:5
      Cannot be determined
      None of these
      Option C
      Let the initial investments of A and B be 3a amd 5a.
      A : B : C = (3a x 12) : (5a x 12) : (5a x 6) = 36 : 60 : 30 = 6 : 10 : 5.

       

    6. Akash, Brijesh and Caryl jointly start a business venture with a agreement that Akash would invest Rs. 13,000 for 6 months, Brijesh, Rs. 16,800 for 5 months and Caryl, Rs. 20,000 for 3 months. Akash wants to be the working member for which he was to receive 5% of the profits. The profit earned was Rs. 14800 Calculate the share of Brijesh in the profit?
      Rs 5320
      Rs 4840
      Rs 4500
      Rs 4750
      None of these
      Option A
      Akash receives = 5% of Rs. 14800 = Rs. 740.
      Balance = Rs. (14800 – 740) = Rs. 14060
      Ratio of their investments = (13000 x 6) : (16,800 x 5) : (20000 x 3) = 78000 : 84000 : 60000 = 13 : 14 : 10
      Brijesh’s share = Rs.14060 x 14/37 = Rs 5320

       

    7. A,B and C invested Rs. 16000, Rs. 8000 and Rs. 16000 respectively to open a business. A left after 6 months. If after 8 months, there was a gain of Rs. 8010, then what will be the share of B?
      Rs 1500
      Rs 1450
      Rs 1780
      Data inadquate
      None of these
      Option C

       

    8. P,Q and R enter into a partnership with P’s contribution Rs. 20,000. If out of a total profit of Rs. 2000, P gets Rs.100 and Q gets Rs. 600, R gets Rs 400 then R’s capital is which of the following?
      Rs 4000
      Rs 5500
      Rs 7500
      Rs 8000
      None of these
      Option D
      P:Q:R = 1000 : 600 : 400 = 5 : 3 : 2.
      Let their capitals be 5x, 3x, 2x respectively.
      Then, 5x = 20000 x =Rs 4000.
      R’s capital = 2x = Rs. 8000.

       

    9. R and S invested in a partnership business. R invests Rs. 70,000 for 8 months and S invests Rs. 84,000 for 10 months. Out of a profit of Rs. 63140, R’s share is which of the following?
      Rs 25256
      Rs 25461
      Rs 42515
      Rs 35151
      None of these
      Option A

       

    10. P starts business with Rs. 7000 and after 5 months, Q joins with P as his partner. After 1 year, the profit is divided in the ratio 2 : 3. What is Q’s contribution in the capital?
      Rs 15000
      Rs 18000
      Rs 14000
      Rs 16000
      None of these
      Option B

       


    04
    31Aug, 2020
    Quantitative Aptitude: Data Interpretation Questions Set 151
    1. Study the following and answer the questions:

      The ratio of male to female employees in a university is 5 : 7. All employees of the university work at different levels. (Level- A,B,C,D,E). 16 2/3% of the male employees work at level A. The difference between male employees working at level B and male employees working at level D is 114, while the sum of the same is 250. (male employees at level B < male employees at level D). 9 male employees work at level E, which is 2% of the total number of male employees. remaining male employees work at level C. 22 2/9% of the female employees work at level A. The no.of female employees working at level B is 6 more than the no. of female employees working at level C. The number of female employees working at level D is 2 more than the number of male employees at the same level. The number of female employees working at level E is 57 1/7% of the female employees working at level A. Find the total number of employees working on level B?

      176
      174
      192
      168
      184
      Option E
      Number=68+116=184

       

    2. Female employees working on level E constitutes what percent of total number of employees in the university?
      4 5/9%
      7 11/27%
      8 13/25%
      9 11/23%
      None of these
      Option B
      Required percentage = (80/1080)×100=7 (11/27)%

       

    3. What is the respective ratio of male employees working at level A to the female employees working at level E?
      10:12
      15:16
      14:18
      Cannot be determined
      None of these
      Option B
      Required ratio = 75/80=15∶16

       

    4. What is the total number of employees working at level A, level B and level C?
      525
      625
      600
      725
      None of these
      Option B
      Total no. of employees at A,B and C levels= 75 + 68+ 116 + 140 + 116 + 110= 625

       

    5. The number of female employees of which level is equal to the number of male employees of level C?
      Level B
      Level A
      Level D
      Level E
      None of these
      Option A

       

    6. Given below is the information regarding to the result of 3 students Akansha, Shivani, Kavya in sessional exams. Read it carefully and answer the following questions.There are total 5 subjects i.e.English , Maths , Computer , Commerce and Economics each carrying different maximum marks. English and Maths both carries equal maximum marks i.e. 35. Computer carries maximum marks 5 more than English and 10 more than Commerce. Total of maximum marks of the 5 subjects is 160. Kavya scored 60% in English, while Shivani scored 48 4/7% in the same subject. Akansha scored only 13.5 marks in English. Akansha scored 24 marks in Maths which is 60% more than the marks scored by Shivani in the same subject. The total of the marks of 3 students in Maths is 58, Kavya scored 15.5 marks in Computer, while Shivani scored 35% in the same subject and Akansha scored highest in Computer with 29 marks. Akansha scored 40% in Commerce which is 33 1/3% less than the marks of Shivani in the same subject. Score of Kavya in Commerce is 14 marks. The sum of marks of Akansha and Shivani in Economics is 32 while the ratio of the same is 9 : 7. Kavya scored 77.5% marks in Economics.

      What is the average marks scored by the 3 students in Commerce? (round off to nearest integer)

      13
      15
      18
      17
      None of these
      Option B
      Average=(12+18+14)/3

       

    7. Find the difference between total marks scored by Akansha in all subjects and the total marks scored by Shivani in all subjects together?
      18.5
      20.5
      19
      17.0
      None of these
      Option A
      Required difference =96.5-78=18.5

       

    8. Calculate the percentage of marks obtained by Kavya in the sessional exams?
      53.125%
      50.25%
      55.00%
      51.750%
      None of thse
      Option A
      =(85/160)×100=53.125%

       

    9. Marks of Shivani in Commerce and Computer’s in what percent more or less than by marks of all the 3 students in economics?(round off to 2 decimal places).
      33.33%
      31.76%
      30.50%
      32.63%
      None of these
      Option D

       

    10. If the passing marks in each sessional are 40%, then total number of compartments of all students together ?
      1
      3
      2
      4
      None of these
      Option B

       


    05
    27Aug, 2020
    Quantitative Aptitude: Profit and Loss Set 23
    1. After allowing a discount of 25% on the market price of an table, there is a gain of 20%. What is the profit % if the table is sold at market price i.e. allowing no discount?
      60%
      55%
      52%
      68%
      None of these
      Option A
      Let MP =Rs 100
      SP of table= Rs 75,
      then Discount = 25
      Gain = 20%
      CP = (100/120) * 75 = 62.5
      So Profit% when no discount = [100-62.5/62.5]*100

       

    2. A table is marked 10% above the cost price. When the selling price of a table is increased by 20% the profit gets increased by Rs 96. If the marked price of the table is Rs 440, then find original selling price?
      Rs 440
      Rs 480
      Rs 515
      Rs 520
      None of these
      Option B
      MP = 440,
      Also given MP = (110/100)*CP, so CP = Rs 400
      Now SP – 400 = P
      And given that, when SP increased by 20%:
      (120/100)*SP – 400 = P + 96

       

    3. An item is sold at a discount of 25% and still there is a gain of 20% on it. Find the marked price of the item if it costs Rs 525?
      Rs 800
      Rs 840
      Rs 850
      Rs 875
      None of these
      Option B
      M.P. = (100 + p%)/(100 – d%) * C.P.

       

    4. There is a loss of 25% on an item when it is sold at 3/5th the previous selling price. What is the actual profit% on it?
      100%
      30%
      25%
      45%
      None of these
      Option C

       

    5. An item is sold for Rs 400 in which the seller fetches 25% profit. If 6 such items are sold for Rs 2400, then the percent profit/loss incurred by the seller is which of the following?
      25% Profit
      20% Loss
      25% Loss
      20% Profit
      None of these
      Option A
      % profit = [(400 – 320)/320]*100 = 25%

       

    6. Rishabh bought 20 kg of vegetables at rupees 30 per kg and 40 kg of vegetables at 35 rupees per kg. Now he sold the entire lot at 45 rupees per kg. Find the amount of loss or profit made by Risabh?
      Rs 600
      Rs 650
      Rs 700
      Rs 750
      None of these
      Option C
      Total CP = 20*30 + 40*35 = 2000
      Total SP = 45*60 = 2700
      Profit made = rS700

       

    7. Tanishq declared 20 percent discount on its ornaments. Rashi bought ornaments worth Rs 30000 after getting discount. Now she fixed the selling price of the ornaments in such a way that she got a profit of 15% on the marked price. Find the selling price of the ornaments?
      Rs 35625
      Rs 35500
      Rs 36100
      Rs 35400
      None of these
      Option A
      MP = 37500, CP = 30000
      Profit = (15/100)*37500 =5625
      SP = 30000+5625 =Rs 35625

       

    8. A dealer sells a cow for Rs 600 and there by gains 20 percent. He sells another cow at 5 percent loss and on the whole there is no loss no profit. Find the cost price of the second cow?
      Rs 2000
      Rs 1500
      Rs 1000
      Rs 2500
      Rs 2550
      Option A

       

    9. If a discount of 10% is given on the marked price of the item then the seller gains 20% profit. Find the percent profit if the item is sold at 20 percent discount?
      20/3%
      15/8%
      10/7%
      25/3%
      None of these
      Option A
      Let MP = Rs 100
      90 = (120/100)*cp, cp = 75
      Now discount = 20% so, SP = 80
      % profit = [(80 – 75)/75]*100 = 20/3%

       

    10. Risabh buys some oranges at the rate of four for a rupee and same numbers of guavas at three for a rupee. To make a profit of 25%, Risabbh should sell a 6 oranges for how much?
      Rs 5.00
      Rs 4.75
      Rs 4.50
      Rs 3.50
      Rs 3.80
      Option B
      CP = 6/4 + 6/3 = 3.5
      Now SP = (125/100)*3.5 =Rs 4.75

       


    06
    25Aug, 2020
    Quantitative Aptitude: Problems on Ages Set 15
    1. Four years ago, the ratio of the ages of Akansha and Banya was 5 : 9. 8 years hence the ratio will be 2 : 3 respectively. Find the present age of Banya?
      40 years
      45 years
      48 years
      52 years
      None of these
      Option A
      Let 4 years ago Akansha’s age = 5x, Banya’s age = 9x
      Then 4+8 = 12 years after – (5x+12)/(9x+12) = 2/3
      Solve, x = 4
      Banya’s present age = 9x+4 = 40

       

    2. Eight years ago, Akansha was 4 times as old as Banya. After 8 years Akansha will be twice as old as Banya. What are their ages respectively?
      42 and 18
      40 and 16
      45 and 20
      50 and 25
      None of these
      Option B

       

    3. Present age of Banya is twice that of Akansha. 4 years hence Banya’s age will be 4 less than twice the age of Akansha. Find the difference in their ages?
      8
      6
      5
      4
      Cannot be determined
      Option E
      Let Akansha’s present age = x,
      Then Banya’s present age = 2x
      After 4 years, (2x+4) = 2(x+4) – 4
      0 = 0

       

    4. Brijesh is twice older than Caryl and Akash is 2 years older than Brijesh. If the total of all of their ages is 27, what will be total of the ages of Akash and Caryl 6 years hence?
      25 years
      29 years
      28 years
      27 years
      None of these
      Option B
      Let Caryl’s present age = x,
      then Brijesh’s = 2x, and Akash’s = 2x+2
      Given: x+2x+(2x+2) = 27
      Solve it, x = 5
      Akash’s present age = 2x+2 = 12
      Caryl’s present age = x = 5
      6 years after Akash+Caryl)’s age = 12+5+6+6 = 29

       

    5. The ratio of the present ages of Akansha to Banya is 5 : 3. The ratio of Akansha’s age 4 years ago to Banya’s age 4 years hence is 1 : 1. What is the ratio of Akansha’s age 4 years hence to Banya’s age 4 years ago?
      3:1
      1:5
      2:3
      4:5
      None of these
      Option A
      Let Akansha’s present age = 5x, and Banya’s = 3x
      Ratio of Akansha’s age 4 years ago to Banya’s age 4 years hence is 1 : 1. So
      (5x-4)/(3x+4) = 1/1
      Solve x = 4
      So Akansha’s present age = 20, and Banya’s = 12
      Required ratio = (20+4) : (12-4)

       

    6. Age of Akansha is three times the sum of ages of Brijesh and Caryl. 5 years hence, Akansha’s age will be twice the sum of ages of Brijesh and Caryl. The total of their present ages is which of the following?
      60 years
      55 years
      58 years
      62 years
      None of these
      Option A
      Let (Brijesh+Caryl)’s present age= x
      Then Akansha’s present age = 3x
      After 5 years, (3x+5) = 2*(x+5+5)
      Solve, x = 15
      Sum = x+3x = 4x = 60 years

       

    7. The sum of the age of mother and his daughter is 62 years. After 5 years, the age of mother will be five times that of the son. What is the age of the son ?
      7 years
      6 years
      8 years
      Cannot be determined
      None of these
      Option A
      Son = 62-5(5-1)/5+1 = 62-20/6 = 42/6 = 7 years

       

    8. The sum of ages of Kashish and Sunita at present is 28 years more than the present age of Yash.The present age of Sunita is 6 years more than the age of Yash.What is the present age of Kashish ?
      22 years
      20 years
      25 years
      32 years
      None of these
      Option A
      Sunita = Yash+6
      Kashish+Sunita = Yash+28
      Kashish+Yash+6 = Yash+28
      Kashish = Yash+28-Yash-6
      Kashish = 22 years

       

    9. Average age of a group of 32 candidates is 26 years. If a professor is included then the average age rises by 1 year,then the present age of professor is which of the following?
      57 years
      59 years
      58 years
      60 years
      62 years
      Option B

       

    10. Sunita was thrice as old as Sarvesh 5 years back. Sunita will be 7/3 times as old as Sarvesh 5 years hence. How old is Sarvesh today?
      26 years
      24 years
      28 years
      30 years
      None of these
      Option A
      (7/3) * (X +10) = (3X + 10)
      7(x+ 10) = 3(3x+ 10)
      7x+70 = 9x+30
      2x=40
      X = 20
      Sarvesh Age = 20+6 = 26 years

       


    07
    24Aug, 2020
    Quantitative Aptitude: Ratio and Proportion Questions Set 5
    1. In the year 2019, in a company the ratio of employees in three different departments operation,management and human resource are 2:3:4 respectively. In the year 2020 in each department if ‘x’ number of employees left then the ratio becomes 3:5:7. In the year 2021 in each department 5 employees left then the ratio became 1:2:3. Then what is the total number of employees in the year 2020?
      75
      70
      80
      85
      None of these
      Option A
      In the year 2019 = 2x: 3x: 4x
      In the year 2020 = 3y:5y:7y
      3y-5/5y-5 = 1/2
      y = 5
      Employees in 2020 = 15, 25, 35
      Now 2x-n = 15
      3x-n =25
      x =10
      Employees in 2019 = 20, 30, 40
      No of left in 2020= 3*5 = 15

       

    2. In a racing, there are three cars, Az, Bz and Cz. The payoffs at Az is 3:7, at Bz, is 4:9, at Cz, is 5:11. Vikas bets Rs.693 on a car which would fetch maximum amount. Luckily his car has won. Then what is the total amount won by him?
      Rs 1050
      Rs 1008
      Rs 1500
      Rs 1025
      None of these
      Option B
      If he bets on car A: 693*3/7 = 297
      If he bets on car B: 693*4/9 = 308
      If he bets on car C: 693*5/11 = 315
      So he bets on car C and he wins 315
      Total = 693+315 = Rs 1008

       

    3. Four friends Akansha, Banya, Caryl, and Dinesh have some money among them, they decided to equate the money, so first Akansha gave Banya what Banya had initially, now Banya gave Caryl what Caryl had initially. Again Caryl gave Dinesh what Dinesh had initially and finally, Dinesh gave what Akansha had now. Thus each of them had an equal sum of Rs.48. Then what amount does Akansha have initially?
      65
      66
      69
      71
      None of these
      Option C

       

    4. Animesh, Brijesh, Caryl, and Diksha are four friends living in a room. Animesh bought some chocolates and went to the room. He found no one is in the room. He then divided the chocolates into four parts and ate one part. After that Brijesh came to the room they then divided the remaining chocolates into four parts at one part each. After that Caryl came to the room, now together they divided the remaining chocolates into four parts and ate their parts. After that Diksha came now together they divided the chocolates into four parts and finished the chocolates. Diksha ate 6 chocolates only. Then how many chocolates does Animesh eat?
      140
      145
      144
      142
      None of these
      Option D
      Diksha = 3x/128 =6
      Total chocolates = 256
      Animesh = x/4+3x/16+3x/32+3x/128
      Animesh = 142

       

    5. The cost of brick block varies directly with the square of its weight. The brick block is divided into three parts whose weights are in ratio of 5:6:7. If the brick block is divided into three equal parts by weight then there would be further loss of Rs.7200. Then what is the actual cost of brick block?
      Rs 1166400
      Rs 1254000
      Rs 3960000
      Rs 2545000
      None of these
      Option A
      Cost of brick block= (5x)2+(6x)2+(7x)2 = 110×2
      When weights equal = (6x)2+(6x)2+(6x)2 =108×2
      Loss =7200 = 110×2-108×2=2×2
      x =60
      Actual cost = (6x+6x+6x)2
      (18*60)2 = Rs 1166400

       

    6. If the ratio of the first ball to second ball is 2:3 and that of the second ball to the third ball is 5: 8, then which of the following is true?
      Sum=95;B=30
      Sum=98;B=30
      Sum=92;B=448
      Sum=88;C=31
      None of these
      Option B
      A:B:C = 10:15:24
      If sum = 98, B = 15/49 * 98 = 30

       

    7. The income of Vikash and Pratyush are in the ratio of 4:5 and their expenditure is in the ratio of 2:3. If each of them saves Rs 5000, then find their income?
      Rs 15000 and Rs 8750
      Rs 14000 and Rs 8450
      Rs 12500 and Rs 8000
      Rs 13500 and Rs 9400
      None of these
      Option A
      4x –2y = 5000 and 5x – 3y = 5000.
      X = 8750, so income = Rs 8750 and Rs 15000

       

    8. The income of P,Q and R are in the ratio 3 : 4 : 7. If their incomes be changed such that the new income of P is 50% increased, 25% increased for Q and 25% decrease for R. Find the ratio of their new incomes.
      15:16:20
      18:20:21
      17:25:30
      15:32:36
      None of these
      Option B
      Previous ratio = 3 : 4 : 7
      New ratio =(150/100) * 3 : (125/100) * 4 : (75/100) * 7

       

    9. Rs 650 was divided among 3 students in the ratio 2: 4 :7. Had it been divided in the ratio 1/2 : 1/4 : 1/7, who would have gained the most and how much?
      X,Rs 264
      Y,Rs 230
      Z,Rs 250
      Cannot be determined
      None of these
      Option A

       

    10. The incomes of Akansha and Brijesh are in the ratio 1 : 2 and their expenditures are in the ratio 2: 5. If Akansha saves Rs 20,000 and Brijesh saves Rs 35,000, what is the total income of Akansha and Brijesh?
      Rs 90000
      Rs 95000
      Rs 100000
      Rs 85000
      None of these
      Option A
      Income of A = x, of B = 2x
      Expenditure of Akansha = 2y, of Brijesh = 5y
      Savings is (income – expenditure). So
      x – 2y = 20,000
      2x – 5y = 35,000
      Solve the equations, x = 30,000
      So total = x+2x = 3x = 3*30,000 = 90,000

       


    08
    21Aug, 2020
    Quantitative Aptitude: Data Interpretation Questions Set 150
    1. Study the information carefully to answer the questions:

      A college consisting of a total of 1560 students has males and females in the ratio of 7 : 5 respectively. All the students are enrolled in different types of streams, viz., Maths , Physics and Commerce. One-fifth of the males are enrolled in only Physics stream. Twenty per cent of the females are enrolled in only Commerce stream. Ten percent of the males are enrolled in only Maths stream. Twenty-four per cent of the females are enrolled in both Maths and Physics stream together. The number of females enrolled in only Maths stream is two hundred per cent of the males enrolled in the same. One-thirteenth of the males are enrolled in all the three streams together. The respective ratio of males enrolled in Physics and Commerce stream together to the females enrolled in the same is 2 : 1 respectively. Ten per cent of the females are enrolled in only Physics stream whereas eight per cent of the females are enrolled in both Physics and Commerce stream together. The remaining females are enrolled in all the three streams together. The number of males enrolled in Maths and Physics stream together is fifty per cent of the number of females enrolled in the same. The remaining boys are enrolled in only Commerce stream.

      Total number of females enrolled in Maths stream is approximately what per cent of the total number of students in the college?

      26
      28
      29
      31
      None of these
      Option A
      =4030/156=25.88% =26%

       

    2. What is the respective ratio of the number of females enrolled in only Commerce stream to the number of males enrolled in the same?
      24:55
      26:77
      28:51
      31:59
      None of these
      Option B
      Ratio=130:385

       

    3. Number of females enrolled in only Physics stream is what per cent of the males enrolled in the same?
      32.74
      36.66
      35.71
      34.50
      None of these
      Option C
      =(65*100)*182

       

    4. What is the total number of males who are enrolled in Physics stream?
      452
      455
      465
      434
      None of these
      Option D
      Required number=78+182+70+104

       

    5. What is the total number of students enrolled in all the three streams together?
      145
      155
      166
      189
      135
      Option E
      Required number=70+65

       

    6. Read the given information and answer the following questions:

      The number of male passengers who boarded Rajdhani express is 175% of the number of female passengers who boarded the same train. The ratio of the number of passengers who like Coldrink , Juice and Water is 61 : 67 : 37. Each passenger likes only one item out of three. The number of male passengers who like Coldrink is 28% more than the male passengers who like Juice. Ratio of the number of male passengers who like Water and the male passengers who like Coldrink is 5:9. Number of female passengers who like Juice is 320 and is 53⅓% of the number of total female passengers. The ratio of number of female passengers who like Coldrink and Water is 4 : 3.

      Find the difference between the male passengers who like Water and female passengers who like Coldrink?

      90
      100
      75
      80
      None of these
      Option A
      Let the number of female passengers be 100x.
      Then ,number of male passengers=100x*175/100=175x
      The number of female passengers who like Juice=100x*160/300=320
      x=6
      Number of total female passengers=6*100=600
      Number of total male passengers=175*6=1050
      Number of male passengers who like Coldrink=1650*61/165=610
      Number of passengers who like juice=670
      Number of passengers who like Water=1650-(610+670)=370
      Number of female who like Coldrinnk=(600-320)**4/7=160
      Number of male who like Water=120
      Let number of male passengers who like Juice be 7y.
      Then,number of male passengers who like Coldrink=7y*9/7=9y
      therefore,7y+9y+5y=1050
      y=50

       

    7. The number of female passengers who like Coldrink and Water together is how much percent more or less than the number of male passengers who like Juice?
      25%
      20%
      30%
      15%
      None of these
      Option B

       

    8. Find the average of the number of passengers who like Coldrink and Juice together?
      610
      650
      640
      700
      None of these
      Option C

       

    9. Find the ratio of the total passengers who like Coldrink and Water together to the total number of male passengers?
      10/13
      16/19
      14/15
      Cannot be determined
      None of these
      Option C

       

    10. Total number of male passengers who like Juice and female passengers who like Coldrink together are what percent of the total number of passengers?
      15 11/7%
      19 10/13%
      22 11/9%
      30 10/11%
      None of these
      Option D

       


    09
    18Aug, 2020
    Quantitative Aptitude: Partnership Set 17
    1. Akansha, Banya, Caryl hired a taxi for Rs.1040 and used it for 7,8 and 11 hours respectively. Hire charges paid by Banya was which of the following?
      Rs 320
      Rs 300
      Rs 450
      Rs 440
      Rs 475
      Option A
      Hire charges paid by Banya = Rs. 1040 x 8/26= Rs.320

       

    2. 3 partners Priyanka, Queen, Rashi start a business. Twice Priyanka’s capital is equal to thrice Queen’s capital and Queen’s capital is four times Rashi’s capital. Out of a total profit of Rs.16,500 at the end of the year, Queen’ share is which of the following?
      Rs 5000
      Rs 5500
      Rs 6000
      Rs 6500
      None of these
      Option C
      Ratio of Priyanka : Queen : Rashi = 6a : 4a : a = 6 : 4 : 1.
      So, Queen’s capital = Rs. 16500 x 4/11 = Rs. 6000

       

    3. Akansha, Brijesh and Arjun started a business. They invested Rs.80,000, Rs. 160,000 and Rs. 2,40,000 respectively. At end of the first year, Brijesh withdraws Rs. 80,000, while at the end of second year, Arjun withdraws Rs.160,000. In what ratio will the profit be shared at the end of 3 years?
      3:7:5
      5:4:8
      3:4:7
      Cannot be determined
      None of these
      Option C
      Akansha : Brijesh : Arjun = (80000 x 36) : (160000 x 12 + 80000 x 24) :(240000 x 24 + 80000 x 12) =144 : 192 : 336

       

    4. Srikant started a business investing Rs. 50,000 in 2000, In 2001,he invested an additional amount of Rs.20,000 and Rakesh joined him with an amount of Rs.70,000. In 2002, Srikant invested another additional amount of Rs.20,000 and Jay joined them with an amount of Rs.70,000. What will be Rakesh’s share in the profit of Rs.300,000 earned at the end of 3 years from the start of the business in 2000?
      Rs 150000
      Rs 300000
      Rs 250000
      Rs 100000
      None of these
      Option D
      Srikant : Rakesh : Jay= (50000 x 12 + 70000 x 12 + 90000 x 12) : (70000 x 24) : (70000 x 12)

       

    5. Akash starts business with Rs.7000 and after 5 months, Brijesh joins with Akash as his partner. After 1 year, the profit is divided in the ratio 2 : 3. What is Brijesh’s contribution in capital?
      Rs 18000
      Rs 15000
      Rs 14000
      Rs 13000
      Rs 10000
      Option A
      Let Brijesh’s capital be Rs.Y.
      =(7000 x 12) / 7x = 2/3
      14y= 252000 = 18000

       

    6. P , Q and R hire a car Rs.250 and used it for 4,3 and 2 hours respectively. Hiring charge paid by R is which of the following?
      Rs 55.55
      Rs 55.25
      Rs 51.25
      Rs 56.75
      None of these
      Option A

       

    7. In a business, X and Y invested amounts in the ratio 2:3 whereas the ratio between amount invested by A and B was 4:2. If Rs 2,20,500 was their profit.How much amount did Y receive ?
      Rs 110250
      Rs 225400
      Rs 115400
      Rs 117450
      None of these
      Option A
      X : Y= 4 : 2=Y: X = 2 : 4
      X : Y = 2 : 3= 4 : 6
      X: B : Y =4 : 2 : 6
      Y’s share = (6/12)×2,20,500 = Rs 1,10,250

       

    8. Krishnam and Yogesh partners in a business . Krishnam contributes 1/4th of the capital for 15 months and Yogesh received 2/3rd of the profit.Then how long Yogesh invest the money in the business ?
      11 months
      10 months
      8 months
      6 months
      4 months
      Option B
      Let profit be x,
      Yogesh profit = 2x/3
      Krishnam profit = x – (2x/3) = x/3
      Krishnam : Yogesh = 1 : 2

       

    9. Priyal and Anju started a partnership business investing some amount in the ratio of 3:5. Riya joined them after six months with an amount equal to that of Anju. In what proportion should the profit at the end of one year be distributed among Priyal, Anju and Riya?
      6:10:5
      5:8:6
      15:13:11
      7:9:11
      None of these
      Option A

       

    10. Anju and Queen invested Rs.16000 and Rs.12,000 in the business.At the end of 6 months Rashi joins them with an amount Rs.20,000.In what ratio annual profit is divided among them ?
      8:6:5
      7:5:10
      8:9:2
      10:11:15
      None of these
      Option A

       


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