Quant Test for IBPS Clerk 2018 Main Exam Set – 12

Directions(1-5): The table given below shows the amount of money invested by five different friends in two different schemes for the same period of time but at given rate of interests.

1. What is the average amount invested by Fardeen,Suraj and Jeet?
   56890
   72000
   60047
   64333
   74500
   Option D
   Required average = 61000+69000+63000/3
   = 64333

    

2. If scheme A offers simple interest then find the total interest earned by all the friends together from scheme A.
   Rs.58500
   Rs.55500
   Rs.57916
   Rs.55895
   Rs.50000
   Option C
   Interest earned by Dev from scheme A = 24000*5*0.15 = Rs.18000
   Interest earned by Fardeen from scheme A = 24400*2*0.08 = Rs.3904
   Interest earned by Champak from scheme A = 45000*3*0.10 = Rs.13500
   Interest earned by Suraj from scheme A = 48300*2*0.12 = Rs.11592
   Interest earned by Jeet from scheme A = 28000*3*0.13 = Rs.10920
   Total interest earned from scheme A = 18000+3904+13500+11592+10920
   = Rs.57916

    

3. What is the ratio of the interest earned by Champak from scheme B to the interest earned by Dev from scheme A? Both the schemes offer simple interests.
   66:203
   63:190
   61:211
   63:200
   63:191
   Option D
   Amount invested by Champak in scheme B = 72000/8*3 = Rs.27000
   Interest earned by Champak from scheme B = 27000*3*0.07 = Rs. 5670
   Amount invested by Dev in scheme A = 56000/7*3 = Rs.24000
   Interest earned by Dev from scheme A = 24000*5*0.15 = Rs.18000
   Desired ratio = 5670:18000 = 63:200

    

4. If it said that scheme A offers simple interest then what is the difference between the interest earned by Dev from scheme A and the interest earned by Jeet from scheme A ?
   Rs.6560
   Rs.6900
   Rs.6666
   Rs.7000
   Rs.7080
   Option E
   Amount invested by Dev in scheme A = 56000/7*3 = Rs.24000
   Interest earned by Dev from scheme A = 24000*5*0.15 =Rs. 18000
   Amount invested by Jeet in scheme A = 63000/9*4 = Rs.28000
   Interest earned by Jeet from scheme A = 28000*3*0.13 = Rs. 10920
   Desired difference = 18000 – 10920 = Rs.7080

    

5. What is the total interest earned by Champak from scheme A and B together if scheme A offers compound interest and scheme B offers simple interest?
   Rs. 18880
   Rs. 20565
   Rs. 19950
   Rs. 22000
   Rs. 20000
   Option B
   Amount invested by Champak in scheme A and B = 72000/8*5 = Rs.45000 and 72000/8*3 = Rs.27000
   Interest earned by Champak from scheme A = 45000*{(1+0.10)^3-1} = Rs. 14895
   Interest earned by Champak from scheme B = 27000*3*0.07 = Rs. 5670
   Total interest earned by Champak = 14895+5670 = Rs. 20565

    

6. A and B together started a business with an investment of Rs. 4800 and Rs. 3600 resp. After 4 months, C joined them with an investment of Rs. 6000. After a year, they received a total profit of Rs. 7750, the find the profit share of B, where it is decided that A will be given 20% of the profit for managing the business and remaining will be distributed according to their investment
   Rs.1920
   Rs.1950
   Rs.1888
   Rs.1800
   Rs.1770
   Option D
   Ratio of investment of A:B:C = 4800:3600:6000 = 4:3:5
   Ratio of profit share of A:B:C = (4*12):(3*12):(5*8) = 12:9:10
   Profit share of A for managing the business = 7750*0.2 = Rs. 1550 Remaining profit share = 7750 – 1550 = Rs. 6200
   Profit share of B = [9/(12+9+10)]*6200 = Rs.1800

    

7. The age of three friends Dia, Anu and Ankita is (x-6) years , (x+6) years and (x+4) years respectively. The average age of Dia and Anu taken together is 5 years less than the average age of Anu and Ankita taken together. Find the age of Anu.
   30
   10
   25
   15
   Cannot be determined.
   Option E
   [(x-6)+(x+6)]/2 = [(x+6)+(x+4)]/2-5
   => x = x

    

8. Tim and Jim start from point A and B resp. towards each other at the same time. The speed of Tim and Jim is (x-4) km/hr. And (x+2)km/hr. resp. after crossing each other Jim travels 48 km to reach point A. Find the value of x, if the distance between point A and B is 144 km.
   15
   20
   12
   10
   17
   Option D
   Time of travel for both before crossing = 144/[(x-4)+(x+2)] Now, 144/[(x-4)+(x+2)]*(x+2)+48 = 144
   => 144/[(x-4)+(x+2)]*(x+2) = 96
   => x = 10

    

9. Puja earns Rs.28000 per month and spends 25% on rent. If he spends 30% of the remaining on food and 20% of the remaining on entertainment then find the monthly savings of Puja.
   Rs. 12220
   Rs. 12500
   Rs. 10000
   Rs. 11000
   Rs. 11760
   Option E
   Amount spend on rent = 0.25*28000 = Rs.7000
   Remaining amount = 28000 – 7000 = Rs.21000
   Amount spend on food = 0.3*21000 = Rs. 63000
   Remaining amount = 21000 – 6300 = Rs. 14700
   Amount spend on entertainment = 0.2*14700 = Rs. 2940
   Remaining amount = 14700 – 2940 = Rs. 11760
   Required monthly saving = Rs. 11760

    

10. The difference between the compound interest obtained and simple interest obtained on a sum at the rate of 10% per annum after 2 years is Rs. 280. Find the sum.
    Rs. 19000
    Rs. 12000
    Rs. 15000
    Rs. 20000
    Rs. 28000
    Option E
    Let sum be Rs.P. S.I = (P*10*2)/100 = 0.2P
    C.I = P[(1.1)^2 – 1] = 0.21P 0.21P – 0.2P =280
    =>P = Rs. 28000