Mixed Quantitative Aptitude Questions Set 44

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. How much more would Rs. 20,000 fetch, after two years, if it is put at 20% p.a.Compound Interest payable half yearly than if it is put at 20% p. a. compound interest payable yearly?
   A)  Rs.400
   B)  Rs.410
   C) Rs.455
   D) Rs.482
   E) Rs.440
   
   View Answer

     Option  D
   Solution:
   Required amount = 20,000 [(1+10/100)^4 – (1+20/100)^2] = Rs.482
   
2. A and B entered into a partnership with capitals in the ratio 5 : 7 . After 4 months, A withdraw (1/3)rd of the capital and Q withdraw (1/4)th of the capital. The profit at the end of the year was 60,000. Find the share A in the profit.
   A) Rs.22150
   B) Rs.24000
   C) Rs.22450
   D) Rs.24580
   E) Rs.25500
   
   View Answer

     Option  B
   Solution:
   Let the capitals of A and B be 5x and 7x resp.
   Ratio of A’s and B’s share of profit = (5x * 4)+(2/3 * 5x * 8) : (7x * 4) + (3/4 *7x * 8)
   = 2 : 3
   A’s share = (2 * 60,000)/ 5 =  Rs.24000
   
3. The circumference of  a circular field is 20 m less than the perimeter of a square field . If the radius of the circular field is 9 m less than the side of the square field , what is the cost of gravelling the circular field at the rate of Rs. 50 per square metre?
   A) Rs.7100
   B) Rs.6500
   C) Rs.7700
   D) Rs.8000
   E) Rs.5400
   
   View Answer

     Option C
   Solution:
   Let radius be r , side of the square field = (r +9) metre
   According to the question,
   4x – 2 *pi*r = 20
   => 4(r+9) – 2 *(22/7)*r = 20
   => 4r + 36 – (44/7)r = 20
   => r = 7 metre
   Therefore, area of the circular field = pi * r^2
   = (22/7)*7*7 = 154 m^2
   cost of gravelling = 154*50 = Rs.7700
   
4. There are six 40 W lamps which are on for 5 hours a day and three 80 W fans which are on for 10 hours a days. If electricity costs Rs. 2 per kilowatt hours what is the monthly electricity bill?
   A) Rs.198
   B) Rs.250
   C) Rs.200
   D) Rs. 216
   E) Rs.220
   
   View Answer

     Option D
   Solution:
   Electricity consumption per day =6 * 40 * 5 + 3 * 80 * 10
   = 1200 + 2400 = 3600W
   = 3.6 kW
   Monthly electricity bill = 108*2 = Rs. 216
   
5. A bottle contains (3/4) of solution A  and the rest solution B. How much of the mixture must be taken away and replaced by an equal quantity of solution B so that the mixture has half solution A and half solution B?
   A) 25(1/2)%
   B) 24(1/3)%
   C)22(1/8)%
   D) 32(1/2)%
   E) 33(1/3)%
   
   View Answer

     Option E
   Solution:
   Let the mixture be 100 units
   solution A = (3/4)*100 = 75
   Ratio of solution A and solution B = 3 : 1
   solution B = (1/4)*100 = 25
   Let x L of mixture is taken away , then quantity of solution A left.
   =(3 – 3x/4) = and solution B = (1 – x/4)  + x
   given , 3 – (3x/4) = 1 – (x/4) + x
   => x = 4/3
   Required % = (1/3)*100 = 33(1/3)%
6. The average age of 70 girls in a classroom is 20 years . The average age of a group of 15 girls in the classroom is 18 years and the average age of another 30 girls in the classroom is 15 years . What is the average age of the remaining girls in the classroom?
   A) 27.2 years
   B) 30 years
   C) 25 .5 years
   D) 20.12 years
   E) 19 years
   
   View Answer

     Option A
   Solution:
   70 * 20 = 15*18 + 30*15 + 25*x
   => 1400 = 270 + 450 + 25*x
   => 1400 – 720 = 25*x
   => 680 /25 = x = 27.2 years
   
7. 12 boys can complete a piece of work in 24 days and 15 men can do the same work in 16 days . How much work will be remaining after 6 boys and 5 men work for 16 days ?
   A) 1/6
   B) 1/3
   C) 1/8
   D) 1/5
   E) 1/4
   
   View Answer

     Option  B
   Solution:
   12 * 24 boys == 15 * 16 men
   => 6 boys == 5 men
   6 boys + 5 men = 10 men
   => M1 D1 = M2 D2
   => 15 * 16 = 10 * D2
   => D2 = (15 * 16)/10 = 24 days
   Therefore , work done in 16 days = 16/24 = 2/3
   Remaining work = 1 –(2/3) = 1/3
8. The distance between the starting and ending point is 36km.  A boat rows in still water at 6 km/h . It takes 8 hours less to cover this distance in downstream than in upstream. What is the rate of the stream ?
   A) 2 kmph
   B) 5 kmph
   C) 4 kmph
   D) 8 kmph
   E) 3 kmph
   
   View Answer

     Option E
   Solution:
   Speed of the current = x kmph
   Rate of downstream = (6+x) kmph
   Rate of upstream = (6 – x) kmph
   Therefore,
   36/(x-6) – 36/(x+6) = 8
   => x^2 + 9x – 36 = 0
   => (x – 3)(x + 12) =0
   => x = 3 kmph
9. Find the different ways in which the letters of the word CORPORATION be arranged in such a way that the vowels always come together?
   A) 51000
   B) 35025
   C) 45250
   D) 50400
   E) 52000
   
   View Answer

     Option D
   Solution:
   Vowels always comes together = O, O, A, I, O
   Letters = C, R, P, R, T, N
   Required ways = (7!/2!) * (5!/3!) = 50400
   
10. A bag contains 4 red , 6 yellow and 7  blue balls. Two balls are drawn at random . What is the probability that none of the balls drawn are red in colour ?
    A) 24/33
    B) 11/45
    C) 25/32
    D) 16/34
    E) 39/68
    
    View Answer

      Option E
    Solution:
    Total number of balls in the bag = 4+ 6 + 7 = 17
    Total possible outcomes = 17C2
    Total favourable outcomes = 13C2
    Required probability = 39/68
    

   Click here for Quantitative Aptitude Questions