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Night Class: Quant Quiz

Night Class: Quant Quiz |_2.1

Direction (Q. 1-5) : Following line graph shows the population of six different cities (in lakh) and the percentage of literate people among them.
Night Class: Quant Quiz |_3.1

1. What is the total number of literate people in city ‘A’?
1) 21.62 lakh 
2) 22.18 lakh 
3) 23.94 lakh 
4) 24.63 lakh 
5) 25.02 lakh
2.What is the total number of illiterate people in city B & C together?
1) 57.34 lakh 
2) 58.12 lakh 
3) 59.64 lakh 
4) 60.62 lakh 
5) 61.32 lakh
3.What is the difference between total literate and total illiterate population of city D?
1) 91000 
2) 93000 
3) 94500 
4) 96000 
5) 97500
4. Total literate population of city E is what percentage of total population of city D?
1) 67.5% 
2) 71.5% 
3) 74.5% 
4) 77.5% 
5) 82.5%
5. Total literate population of City F is approximately what percentage of total illiterate population of City A ?
1) 137.5% 
2) 142.5% 
3) 147.5% 
4) 152.5% 
5) 157.5%
6. Two pipes P1 and P2 can fill a tank in 24 minutes and 30 minutes respectively. If both the pipes are opened simultaneously, after how much time should P2 be closed so that the tank is full in 20 minutes ?
1) 4 minute 
2) 5 minute 
3) 6 minute 
4) 7 minute 
5) 8 minute
7. Mohan takes 8 days less than the time taken by Ravi to finish a piece of work. If both Mohan and Ravi together can finish it in 7.5 days, then how many days Ravi will take to finish the work alone ?
1) 15 days 
2) 18 days 
3) 20 days 
4) 24 days 
5) 28 days
8. A shopkeeper bought a bat and sold it at a loss of 15 %. If he had bought it for 20 % less and sold it for Rs. 147.2 more, he would have had profit of 35 %. What is the cost price of bat ?
1) Rs. 540 
2) Rs. 600 
3) Rs. 625 
4) Rs. 640 
5) Rs. 720
9. Two equal amounts are deposited in two bank at same interest rate 12% p.a. for 7 years and 4.5 years respectively. If the different between the interest is Rs. 585 then what was each amount?
1) Rs. 1650 
2) Rs. 1750 
3) Rs. 1850 
4) Rs. 1950 
5) Rs. 2050
10. An amount of money grows up to Rs. 3136000 in 2 years, and up to Rs. 3512320 in 3 years, on compound interest. What is the rate of interest per annum ?
1) 5 % p. a. 
2) 8 % p. a. 
3) 10 % p. a. 
4) 12 % p. a. 
5) 15 % p. a.
Answers:
1. 3
Req Ans = 42 * 57/100 = 23.94 lakh
2. 4
Req Ans = 35 * (100 – 42)/100 + 63 * (100 – 36)/100
35 * 58/100 + 63 * 64/100 
= 20.3 + 40.32 = 60.62 lakh
3. 4
Req ans = 48 * (51 – 49)/100 = 48 * 2/100 = 96000
4. 2
E = 78 * 44/100 = 34.32 lakh
Dtotal = 48 lakh
Req Ans = 34.32/48 * 100 = 71.5%
5. 4
Flit = 81 * 34/100 = 27.54 lakh
Alit = 42 * 43/100 = 18.06 lakh
Req % = 27.54/18.06 * 100 = 152.5%
6. 2
Let the pipe P2 is closed after ‘x’ mins.
x (1/24 + 1/30) + (20 – x) * 1/24 = 1
3x/40 + 5/6 – x/24 = 1
x = 5 mins
7. 3
Let Ravi takes ‘x’ days to finish the work, so Mohan will take (x – 8) days to finish the work.
1/x + 1/x-8 = 2/15
(2x-8)/(x^2 – 8x) = 2/15
(x – 4) ×15 = x^2 – 8x
x^2 – 23 x + 60 = 0
x^2 – 20x – 3 x + 60 = 0
x ( x – 20) – 3 ( x – 20) = 0  x = 20, 3
We discard x = 3 as it is less than 8. 
x = 20 days
8. 4
Let cost be ‘x’
SP = 17X/20
Now, CP = 4X/5
SP = 17x/20 + 147.2 = (17x + 2944)/20
{(17x + 2944)/20 – 4x/5} * 5/4x * 100 = 35
(17x + 2944 – 16x)/20 * 125/x = 35
(x + 2944)/4 * 25/x = 35
25x + 73600 = 140x
x = 640
9. 4
Let the amount be ‘x’.
(x * 12 * 7)/100 * (x * 12 * 4.5)/100 = 585
x = 1950
10. 4
C. I for third year is 3512320 – 3136000 = 376320
Which is S. I for Rs. 3136000 in one year.
r = (376320 * 100)/ (3136000 * 1) = 12% pa

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