Thursday, 23 June 2016

Night Class: Quant Quiz


1. During our campaign against child labour we have found that in three glass making factories A, B and C there were total 33 children aged below 18 were involved. The ratio of male to female in A, B and C was 4 : 3, 3 : 2 and 5 : 4 respectively. If the no. of female children working in the factories B and C be equal, then find the no. of female children working in factory A?

(a) 5   
(b) 2
(c) 8   
(d) 6   
(e) None of these

2. SBI and Airtel entered into a partnership just 5 months ago. The ratio of profit claimed by SBI and Airtel is 6 : 17. If Airtel had just started his business 12 months ago with Rs. 1275, what is the amount contributed by SBI?
(a) Rs.980   
(b) Rs.1080
(c) Rs.1200   
(d) Rs.998         
(e) None of these

3.There is 1000 litres milk in a pot. 100 litres of milk is taken out and same amount of water is poured into it. Again 200 litres of mixture is taken out and same amount of water is poured into it and finally 400 litres of mixture is taken out and same amount of water is poured into it then what is the amount of milk in the resulting mixture? 
(a) 408
(b) 536
(c) 432 
(d) 439
(e) None of these  

4.Ram, Shyam and Mohan invested Rs. 54,000, Rs. 36,000 and Rs. 7,200 respectively in a business. At the end of the year there was a profit of Rs. 13,500. Find the profit of Mohan  
(a) 5000
(b) 1000
(c) 7500
(d) 1500
(e) None of these  

5.Ram, Shyam and Mohan invested Rs. 54,000, Rs. 36,000 and Rs. 7,200 respectively in a business. At the end of the year there was a profit of Rs. 13,500 if Ram invested for 6 months, Shyam invested for 12 months and Mohan invested for 30 months they what is the Profit of Ram 
(a) 6500 
(b) 4200 
(c) 4500
(d) 7500 
(e) None of these  

6.A, B and  C start a business by investing Rs. 1,36,000 and A invests Rs. 20000 more than B while C invests Rs. 4000 less than B. If they earn a profit of Rs. 51, 000 at the end of the year then find dividend of A. 
(a) 22500
(b) 28000 
(c) 27500
(d) 29500 
(e) None of these  

7.If 5 times of A’s capital, 4 times of B’s capital and 7 times of C’s capital are equal then what will be the ratio of their profits if the capital has been invested for same duration? 
(a) 28:35:20
(b) 28:35:10
(c) 28:25:20 
(d) 18:35:20 
(e) None of these  

8.Three milk man A, B and C hire a pasture in Rs. 2670. A grazes 4 cows and 3 calves for 5 days, B grazes 5 cows and 4 calves for 3 days while C grazes 6 cows and 5 calves for only 2 days. If one cow grazes three times of a calf, then how much rent will B have to pay. 
(a) 846 
(b) 856 
(c) 755 
(d) 855
(e) None of these  

9.Om, Jain and Jagdish start a business together. Om invests Rs. 5,000 for whole year. Jai invests Rs. 3,000 initially but increases it to 4,000 after 4 months. Jagdish invests Rs. 7,000 initially but takes Rs. 4, 000 back after 8 month. If their total profit at the end of the year is Rs. 34, 400 then what  is  dividend of Jai ? 
(a) 9800
(b) 8800
(c) 10800
(d) 7800
(e) None of these  

10.Ram, Krishna and Ganesh started a business by investing capital in the ratio 5 : 4 : 3. Three months later Ram took back 2/5 of his capital; four months later Krishna took back ¼ part of his capital while Ganesh invested 1/3 part of his initial capital again. After 9 months there was a total profit of Rs. 19,20 in the business, then who got the maximum profit and how much? 
(a) Ram ,660
(b) Krishna ,660
(c) Ganesh .660
(d) Ram and Ganesh ,660
(e) None of these  

Answers:

1. (d)
Male: Female
4x : 3x
3y : 2y
5z : 4z
Since 2y = 4z
(4x + 3x) + (3y + 2y) + (5z + 4z) = 33
7x + 19z = 33
x = 2
i.e. No of Female children in A = 3*2 = 6

3.(c)
After 1st process milk & water = 9 : 1
After 2nd process milk left
= 800 * 9/10 = 720
So, Milk & Water = 720:280 = 18:7
After 3rd process milk left = 600*18/25 = 432

4. (b)
Ratio of capital = 54000 : 36000 : 7200
= 15 : 10 : 2
Profit of Mohan = 13500 * 2/27 = 1000

5. (c)
Ratio of their profit = 540*6 : 360*15 : 720*30
= 3 : 4 : 2
Profit of Ram = 13500*3/9 = 4500

6. (a)
Let B’s Capital = x, A’s Capital = x+20000
& C’s Capital = x-4000
According to question
x+(x+20000)+(x-4000) = 136000
x = 40,000
A = 60,000, B = 40,000, C = 36,000
A:B:C =  15:10:9
A’s share = (15*51000)/34
                 = 22,500
7. (a)
5A = 4B = 7C = K
A:B:C = 28 : 35 : 20

8. (d)
1 cow = 3 calves
Ratio of cattle’s of A, B & C
(4*3+3)*5 : (5*3+4)*3 : (6*3+5)*2
= 15 : 19 : 23
Ratio of their rent = 15*5 : 19*3 : 23*2
75 : 57 : 46
Rent of B = 2470*57/178 = 855

9. (b)
Ratio of their capital
(500 * 12) : (3000*4 + 4000*8) + (7000*8 + 3000*4)
= 15 : 11 : 17
Jai’s Share = 34400 * 11/43 = 8800

10. (a)
Capital ratio
(5*3 + 3*6) : (4*4 + 3*5) : (3*4 + 4*5)
= 33 : 31 : 32
Ram Share = 1920*33/96 = 660


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