# Mixed Quantitative Aptitude Questions Set 22

Word Problems Quantitative Aptitude for SBI PO, IBPS PO, NIACL, NICl, Dena Bank PO PGDBF, BOI, Bank of Baroda and other competitive exams

1. A person has two sugar solutions one containing sugar 25% and another contains 40% sugar. If he mix them in the ratio of 2:1 and makes a solution of x litres which has x% sugar in it, find the value of sugar in it.
A) 8 Litre
B) 9 Litre
C) 10 Litre
D) 11 Litre
E) None of these
Option B
Solution
:
25%——————————40%
x%
2———————————-1
(40-x)/(x-25)=2/1 => x=30
30% of 30= 9 L
2. A person invests RS 12000 at Compound Interest at 10% rate of interest. If after 2 years he increases his sum by 20% and halves the rate of interest, then find the Compound Interest for 3 years.
A) Rs 4086
B) Rs 3972
C) Rs 4212
D) Rs 4000
E) None of these
Option A
Solution
: Total= 2400+1440+240+6=4086
3. A person sold an article in Rs 55,000 at 20% discount on Marked Price and gains 18% on CP. Find the gain percent if he sold it at Marked Price.
A) 45.5%
B) 47.5%
C) 55%
D) 42%
E) None of these
Option B
Solution
:
20% discount =1/5 (1 – discount, 5 – MP)
=> MP:SP= 5:4
% Profit= 18%=9/50
=> CP:SP= 50:59
Make SP same in both equation, we get
CP:SP:MP=200:236:295
Required %= (295-200)/200*100= 47.5%
4. If average of 5 consecutive odd numbers is 43. Then find the 20% of the total of least number and the greatest number.
A) 17
B) 16
C) 17.2
D) 16.2
E) None of these
Option C
Solution
:
Average of 5 odd number is 43, means 43 is the mid number of these 5 number, so numbers are: 39, 41, 43, 45, 47
(39+47)*20/100=17.2
5. A tap can empty a cistern in 12 hours. If another tap B is on then cistern is emptied in 15 hours. If tap B can fill 10 Litre in a minute then find the amount of water which cistern can hold.
A) 30,000 litre
B) 40,000 litre
C) 25,000 litre
D) 36,000 litre
E) None of these
Option D
Solution
:
—-Hours————–Efficiency (Total Work = LCM 12, 15=60)
A = 12  ——————– 5
A + B = 15—————–4
Difference = 5-4=1 this is due to B
In 1 hour B can fill 10*60=600 L
1->600 L
60(total work)->60*600=36,000 L
6. A train starts from P at 8 AM and can reach its destination Q at 12 AM. Another train start from Q at 9 AM and can reach P at 2 PM. At what time will they meet each other?
A) 10:10 AM
B) 11:10 AM
C) 10:40 AM
D) 11:40 AM
E) None of these
Option C
Solution
:
A=> <=B
|————(20 KM)——————|
P                                                       Q
Ratio of Time A:B=4:5
Speed= 5:4
The difference in start time of A and B is 1 hour, in this 1 hour A will travel 5 km, in the remaining 15 KM they will travel together and meet.
Time=15/9=1 hour 40 mins
Time=9 AM + 1hour 40 mins =10:40 AM
7. The total Selling Price of two watches is Rs 840, one is sold at 25% profit and another at 16(2/3) % Profit. There is 20% profit in the whole transaction. The cost price of watch that is sold on 25% gain is?
A) Rs 280
B) Rs 420
C) Rs 350
D) Rs 380
E) None of these
Option A
Solution
:
25 —————————– 16 (2/3)
—————- 20
2———————————–3
2/5*700=280 [700 is the CP on SP=840 and profit 20%]
8. Mr. Ramesh opened a workshop investing Rs 50,000.He invested additional amount of Rs 10,000 every year. After two years his brother joined him with Rs 90,000. On completion of 4 years they earned a profit of Rs 2,20,000. Find the share of Ramesh
A) Rs 90,000
B) Rs 1,30,000
C) Rs 1,10,000
D) Rs 1,20,000
E) None of these
Option B
Solution
:
Ramesh = 50000+60000+70000+80000=Rs 260000
Brother = 90000+90000 = Rs 180000
R:B=13:9
R=13/22*220000=130000
9. Kamla got married 6 years ago. Today her age is 5/4 times her age at the time of marriage. His son’s age is 1/7.5 times her age. The age of her son is?
A) 2 years
B) 3 years
C) 4 years
D) 5 years
E) None of these
Option C
Solution
:
5/4 *6 = 30/24
Now 30 years ; At marriage = 24 years
Son = 30/7.5 = 4 years
10. If radius of a cylinder increases by 20% and height increases by 25% . Find the Percent change in volume.
A) 80%
B) 65%
C) 50%
D) 40%
E) None of these
Option A
Solution
:
Volume= πr2h
r= 2 times
h = 1 times
r = 20% increase =1/5 =>5——6
5——6
h= 25% increase =1/4=>4——-5
_____________
100—–180
(180-100)/100*100=80%

## 3 Thoughts to “Mixed Quantitative Aptitude Questions Set 22”

1. purvi

thanku mam 🙂

2. kt

Q2 1440 kyo lia 5% lena hai not 10%???