# Mixed Quantitative Aptitude Questions Set 212

1. P1 and P2 are the two pockets were made by mixing chilli powder and turmeric powder in the ratio 3:5 and 5:9 respectively.If 60 grams of P1 and x grams of P2 are mixed to get pocket P3, then fid out the value of x , if the ratio of chilli and turmeric in the new pocket P3 is 35:61?
70g
56g
98g
84g
112g
Option D
In x gram of P2
chilli = 5x/14
turmeric= 9x/14
in 60 gm in P1
chilli=60 * 3/8= 45/2
turmeric=60 85/8=75/2
and =>(45/2 +5x/14) / (75/2+9x/14) = 35/61
=>x= 84g

2. Rakesh bought a loan Rs.3,00,000 in a newyear scheme which gives r% per annum at Compound interest and this scheme doubles the loan in 72/r years which is double of the rate of interest given by the scheme.Find the total amount paid by Rakesh at the end of 48 years?
12lac
34lac
45lac
48lac
64lac
Option D
given 72/r= 2r
=> r=6%
So the loan amount double in 12 years.
=>6,00, 000= 3,00,000 ( 1+ r/100 ) ^12
=>1+ r/ 100 ) ^ 12= 2
So required loan amount to pay = 3,00,000 ( 1+ r/100 ) ^ 48 = 3,00,000 *2^ 4 = Rs. 48,00,000

3. karthik and kathir’s current age is 7: 5 and 3 years back their ages were 16:11. So what is the age of kathir after 5 years?
15
25
30
40
23
Option C
let their ages be 5x and 7x .
so 7x-3/5x-3 = 16/11
=> x= 5
Hence the age of kathir = 5* 5+ 5= 30 years

4. Person 1 started a business y investing Rs. A after 4 months person 2 also joined with the investment of Rs. x+ 10,000. But the end of the year their profit are same. Then what is the amount invested by person 2?
20,000
14,000
15,000
45,000
30,000
Option E
p1 P2
investment x x+10,000

time 12 8
12x 8x+ 80,000
12x= 8x + 80,000
=>x=20,000
hence person 2 investment = 30,000

5. An house is on sale is said to 50% above its original price. But after the seller gives discount and gets only 20% profit. Find the percentage of discount ?
10%
20%
30%
40%
50%
Option B
let the original price of the house = 100x
Then said price= 100x * 150/100= 150x
SP= 120x
discount% = 30x/150x * 100 = 20%

6. If the sum of the speed of a boat upsteam and down stream is 36kmph and speed of the stream is 1/3 of the speed of the boat. Find the time taken to travel 108 km upstream and 96km downstream by the boat?
10 hrs
11 hrs
12hrs
13hrs
14hrs
Option D
speed of boat =36/2= 18kmph
speed of stream = 1/3 * 18 = 6kmph
Time = 108/18-6 + 96/ 18+ 6
=13hrs

7. Person A and Person B are 10 km apart. A can walk at an average speed of 2 km/hr and B at 3 km/h. If they start walking towards each other at 5:30 pm, when they will meet?
7:30 pm
7:30 pm
10:30 pm
9:30 pm
6:30 pm
Option A
Suppose they will meet after T hours.
Distance = Speed x Time
Sum of distance traveled by them after T hours
3T + 2T = 10 km
T = 2 hours.
So they will meet at 5:30 pm + 2 hours = 7:30 pm

8. Find the greatest possible length of scale which can be used to measure the iron bar 8m 3cm, 8m 34cm and 9m 30cm exactly.
63cm
64cm
61cm
62cm
60cm
Option D
Required measure of scale = HCF of 803, 834 and 930
= 62 cm

9. A seller marked an article at Rs 500 and sold it allowing 20% discount. If his profit was 25%, then the cost price of the article was
Rs.310
Rs.300
Rs.320
Rs.280
Rs.330
Option C
∵ Marked price of an article = 500
∴ SP of an article = 500 x (100 – 20)/100
= (500 x 80)/100
= 400

Hence, cost price of an article = (400 x 100)/(100 + 25)
= (400 x 100)/125
= 320

10. Kajal traveled 12000 km by plane1 which formed (1/5) of his trip. One-third of the whole trip he traveled by plane2 And the rest of the journey he performed by plane3. The distance traveled by plane3 was ?
20,000 km
15,000 km
18,000 km
24,000 km
28,000 km
Option E
Let the total distance be y km.
Then, 1y / 5 = 12000
⇒ y = (12000 x 5) /1= 60000 km.

Distance traveled by plane 2
= (1/3 X 60000) = 20,000 km.

Distance traveled by plane3
= [60000- (20000 + 12000) ] km.
= 28,000 km.