Mixed Quantitative Aptitude Questions Set 22

Word Problems Quantitative Aptitude for SBI PO, IBPS PO, NIACL, NICl, Dena Bank PO PGDBF, BOI, Bank of Baroda and other competitive exams

1. A person has two sugar solutions one containing sugar 25% and another contains 40% sugar. If he mix them in the ratio of 2:1 and makes a solution of x litres which has x% sugar in it, find the value of sugar in it.
   A) 8 Litre
   B) 9 Litre
   C) 10 Litre
   D) 11 Litre
   E) None of these
   
   View Answer

   Option B
   Solution:
   25%——————————40%
   x%
   2———————————-1
   (40-x)/(x-25)=2/1 => x=30
   30% of 30= 9 L
2. A person invests RS 12000 at Compound Interest at 10% rate of interest. If after 2 years he increases his sum by 20% and halves the rate of interest, then find the Compound Interest for 3 years.
   A) Rs 4086
   B) Rs 3972
   C) Rs 4212
   D) Rs 4000
   E) None of these
   
   View Answer

   Option A
   Solution:
   Total= 2400+1440+240+6=4086
3. A person sold an article in Rs 55,000 at 20% discount on Marked Price and gains 18% on CP. Find the gain percent if he sold it at Marked Price.
   A) 45.5%
   B) 47.5%
   C) 55%
   D) 42%
   E) None of these
   
   View Answer

   Option B
   Solution:
   20% discount =1/5 (1 – discount, 5 – MP)
   => MP:SP= 5:4
   % Profit= 18%=9/50
   => CP:SP= 50:59
   Make SP same in both equation, we get
   CP:SP:MP=200:236:295
   Required %= (295-200)/200*100= 47.5%
4. If average of 5 consecutive odd numbers is 43. Then find the 20% of the total of least number and the greatest number.
   A) 17
   B) 16
   C) 17.2
   D) 16.2
   E) None of these
   
   View Answer

   Option C
   Solution:
   Average of 5 odd number is 43, means 43 is the mid number of these 5 number, so numbers are: 39, 41, 43, 45, 47
   (39+47)*20/100=17.2
5. A tap can empty a cistern in 12 hours. If another tap B is on then cistern is emptied in 15 hours. If tap B can fill 10 Litre in a minute then find the amount of water which cistern can hold.
   A) 30,000 litre
   B) 40,000 litre
   C) 25,000 litre
   D) 36,000 litre
   E) None of these
   
   View Answer

   Option D
   Solution:
   —-Hours————–Efficiency (Total Work = LCM 12, 15=60)
   A = 12  ——————– 5
   A + B = 15—————–4
   Difference = 5-4=1 this is due to B
   In 1 hour B can fill 10*60=600 L
   1->600 L
   60(total work)->60*600=36,000 L
6. A train starts from P at 8 AM and can reach its destination Q at 12 AM. Another train start from Q at 9 AM and can reach P at 2 PM. At what time will they meet each other?
   A) 10:10 AM
   B) 11:10 AM
   C) 10:40 AM
   D) 11:40 AM
   E) None of these
   
   View Answer

   Option C
   Solution:
   A=> <=B
   |————(20 KM)——————|
   P                                                       Q
   Ratio of Time A:B=4:5
   Speed= 5:4
   The difference in start time of A and B is 1 hour, in this 1 hour A will travel 5 km, in the remaining 15 KM they will travel together and meet.
   Time=15/9=1 hour 40 mins
   Time=9 AM + 1hour 40 mins =10:40 AM
   
7. The total Selling Price of two watches is Rs 840, one is sold at 25% profit and another at 16(2/3) % Profit. There is 20% profit in the whole transaction. The cost price of watch that is sold on 25% gain is?
   A) Rs 280
   B) Rs 420
   C) Rs 350
   D) Rs 380
   E) None of these
   
   View Answer

   Option A
   Solution:
   25 —————————– 16 (2/3)
   —————- 20
   2———————————–3
   2/5*700=280 [700 is the CP on SP=840 and profit 20%]
8. Mr. Ramesh opened a workshop investing Rs 50,000.He invested additional amount of Rs 10,000 every year. After two years his brother joined him with Rs 90,000. On completion of 4 years they earned a profit of Rs 2,20,000. Find the share of Ramesh
   A) Rs 90,000
   B) Rs 1,30,000
   C) Rs 1,10,000
   D) Rs 1,20,000
   E) None of these
   
   View Answer

   Option B
   Solution:
   Ramesh = 50000+60000+70000+80000=Rs 260000
   Brother = 90000+90000 = Rs 180000
   R:B=13:9
   R=13/22*220000=130000
9. Kamla got married 6 years ago. Today her age is 5/4 times her age at the time of marriage. His son’s age is 1/7.5 times her age. The age of her son is?
   A) 2 years
   B) 3 years
   C) 4 years
   D) 5 years
   E) None of these
   
   View Answer

   Option C
   Solution:
   5/4 *6 = 30/24
   Now 30 years ; At marriage = 24 years
   Son = 30/7.5 = 4 years
10. If radius of a cylinder increases by 20% and height increases by 25% . Find the Percent change in volume.
    A) 80%
    B) 65%
    C) 50%
    D) 40%
    E) None of these
    
    View Answer

    Option A
    Solution:
    Volume= πr²h
    r= 2 times
    h = 1 times
    r = 20% increase =1/5 =>5——6
    5——6
    h= 25% increase =1/4=>4——-5
    _____________
    100—–180
    (180-100)/100*100=80%