Mixed Quantitative Aptitude Questions Set 58

Quantitative Aptitude Questions for IBPS RRB/PO/Clerk, SBI PO, NIACL, NICL, RBI Grade B/Assistant, BOI, Bank of Baroda and other competitive exams

1. A and B both sold the same Bicycle. The price of the Bicycle is Rs. 36,000. A gives a discount of 15% on whole, while B gives a discount of 10% on the first Rs 25,000 and 15% on the rest Rs. 11000. What is the difference between their selling price ?
   A) Rs1020
   B) Rs980
   C) Rs1530
   D) Rs1250
   E) None
   
   View Answer

   Option D
   Solution:
   A’s Discount = 15% of 36000=5400
   B’s Discount = 10% of 25000 + 15% of 11000 = 2500+ 1650=4150
   The difference in selling price is same as difference in discount = 5400 -4150 = Rs1250.
2. The product of two numbers is 9375 and the quotient, when the larger one is divided by the smaller, is 15. The sum of the numbers is:
   A) 380
   B) 400
   C) 420
   D) 360
   E) None
   
   View Answer

   Option B
   Solution:
   Let the no be x and y.
   x*y=9375 and x/y=15
   xy/(x/y)=9375/15
   y²=625
   y=25
   then x=15y=15*25=375
   375+25=400.
3. A bag contains 8 green, 6 white and 10 blue balls. Four balls are drawn at random from the bag. The probability that all of them are Green, is:
   A) 12/583
   B) 15/532
   C) 5/759
   D) 8/721
   E) None
   
   View Answer

   Option C
   Solution:
   P= n(e)/n(s)
   =8C4/24C4
   =(8*7*6*5) /(24*23*22*21)
   =5/759.
4. P salary is 75% more than Q’s. P got a raise of 40% on his salary while Q got a raise of 25% on his salary. By what percent is P’s salary more than Q’s?
   A) 75%
   B) 96%
   C) 85%
   D) 66%
   E) None
   
   View Answer

   Option B
   Solution:
   Let Q’s salary = 100; Q’s salary after rise = 125.
   Then P’s salary = 175.
   P’s salary after rise = 245.
   Difference between P’s and Q’s salary = 245-125 = 120; .
   then 120*100/125 = 96%.
5. A shopkeeper sold 12 watches at a profit of 20% and 8 watches at a profit of 10%. If he had sold all the 20 watches at a profit of 15%, then his profit would have been reduced by Rs. 36. What is the cost price of each watch?
   A) 210
   B) 150
   C)180
   D) 120
   E) None
   
   View Answer

   Option C
   Solution:
   Let CP of each watches = 10 Rs.
   In 1st case
   Total cp of 20 watches = 200
   Total sp of 20 watches =(120+24)+(80+8) =232
   Profit = 232 – 200 = 32
   In Second case profit = 15% of 200 = 30
   So, 32 – 30 = 36
   1 = 18
   10 = 180.
6. Total number of men, women and children working in a factory is 27. They earn Rs. 6000 in a day. If the sum of the wages of all men, all women and all children is in ratio of 18: 10: 12 and if the wages of an individual man, woman and child is in ratio 6: 5: 3, then how much a men earn in a day?
   A) Rs280
   B) Rs340
   C) Rs220
   D) Rs300
   E) None
   
   View Answer

   Option D
   Solution:
   Ratio of number of men, women and children,
   = (18/6): (10/5):(12/3) = 3:2:4
   Total (Men +Women +Children) = 27
   3X +2X +4X = 27
   9X = 27
   X = 3
   Hence, number of men = 3x = 9
   Share of all men = (18*6000)/40 = Rs. 2700 [18+10+12 =40]
   Thus, share of each man = 2700/9 = Rs. 300.
7. Two students appeared at an examination. One of them secured 20 marks more than the other and his marks was 60% of the sum of their marks. The marks obtained by them are:
   A) 40, 60
   B) 55, 75
   C) 42, 62
   D) 38, 58
   E) None
   
   View Answer

   Option A
   Solution:
   Let their marks be (x + 20) and x.
   Then,
   x+20=60/100(x+20+x)
   ==> 5(x + 20) = 3(2x + 20)
   ==>5x+100=6x+60|
   ==>x=40.
   So, their marks are 40 and 60.
8. Two cyclist start from the same place in opposite direction the first cyclist goes towards north at30km/hr and the second cyclist goes towards south at 25km/hr. Approximately What time will they take to be 62.5km?
   A) 2hrs12mins
   B) 1hr 8mins
   C) 1hr 30mins
   D) 2hrs
   E) None
   
   View Answer

   Option B
   Solution:
   Both 1hr travelled 30+25=55km
   Then 55 == 1
   62.5 ? ==>62.5/55=1 7.5/55hrs
   7.5/55hrs=55 60
   7.5 ? = 8.1mins(approx.)
   So time=1hr 8mins.
9. A and B can do a piece of work in 30 days, while B and C can do the same work in 24 days and C and A in 20 days. They all work together for 10 days when B and C leave. How many days more will A take to finish the work?
   A) 18days
   B) 22 days
   C) 15 days
   D) 12 days
   E) None
   
   View Answer

   Option A
   Solution:
   2(A + B + C)’s 1 day’s work = (1/30+1/24+1/20) =15/120=1/8
   A+B+C=1/(2*8)=1/16.
   Work done in 10days=10/16=5/8.
   Remaining =3/8work.
   A’s 1day work=1/16 – 1/24=1/48
   Then 48*3/8=18days.
10. Starting from my office, I reach the house 25 min late if I walk at 4kmph. Instead, if I walk at 6 kmph, I reach the house 15 min early. How far is my house from my office?
    A) 12km
    B) 6km
    C) 8km
    D) 10km
    E) None
    
    View Answer

    Option C
    Solution:
    distance=[Time diff *(s1*s1)]/(s1-s2)
    =(40/60 *24)/2
    =8km.

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