# Mixed Quantitative Aptitude Questions Set 193

1. Harish sold a chair for Rs. 2000 and incurred a loss. Had harish sold the item for Rs. 3600, his gain would have been equal to three times of the amount of loss that he incurred. At what price should he sell the chair to gain 20 %?
Rs. 2880
Rs. 4480
Rs. 5280
Rs. 9080
Rs. 6080
Option A
Loss = C.P – 2000
Profit = 3600 – C.P
Profit = 3*Loss
3600 – C.P = 3 * [C.P – 2000]3600 – C.P = 3C.P – 6000
9600 = 4C.P
C.P = 9600/4 = Rs. 2400
SP = 2400 * (120/100) = Rs. 2880

2. The sum of lengths of Sadhapthi express and Rajdhani express is 640 m. The speed of train Sadhapthi to that of Rajdhani is in the ratio of 3 : 4. The time taken by Sadhapthi express and Rajdhani express to cross an electronic pole is in the ratio of 4 : 5. Find the difference between the length of the two expresses?
120
140
160
180
200
Option C
Let the length of Sadhapthi express be x m,
So, the length of Rajdhani express = 640 – x
The speed of Sadhapthi to that of Rajdhani is in the ratio = 3 : 4 (3y, 4y)
Time = Length of train / Speed
4 = x / 3y
x = 12y -> (1)
(640 – x) / 4y = 5
640 – x = 20y
640 – 12y = 20y
640 = 32y
y = 20
The length of Sadhapthi = x = 12 * 20 = 240 m
The length of Rajdhani = 640 – x = 640 – 240 = 400 m
Required difference = 400 – 240 = 160 m

3. The speed of the ship in still water is 36 km/hr and the speed of stream is 12 km/hr. The time taken by ship to travel from A to B downstream is 3 ½ hours less to travel from B to C upstream. If the distance between A to B is 24 km more than the distance between B to C, then find the distance between A to B?
200
145
210
216
234
Option D
The speed of downstream = 36 + 12 = 48 km/hr
The speed of upstream = 36 – 12 = 24 km/hr
Let the distance between B to C be x km,
The distance between A to B = (x + 24) km
Given,
x / 24 – (x + 24) / 48 = 7/2
(2x – x – 24) / 48 = 7/2
x – 24 = 168
x = 192
The distance between A to B = x + 24 = 192 + 24 = 216 km

4. Person 1 and person 2 are 585 km away and both of them start moving towards each other at the same time. After some time when person 1 has travelled 360 km he meets Person 2. What is the ratio of the speed of person 1 to that of person 2?
2:3
4:5
2:5
1:4
None of these
Option

5. A mixture of oil and water in a jar contains 32 liters oil and 10 liters water. A liter of oil and A liter of water is added to a new mixture. If 40 % of new mixture is 24 liters, then find the value of X (In liters)?
5
7
9
11
13
Option C
(40/100) * New mixture = 24
New mixture = 24 * (5/2) = 60 liters
Given,
32 + A + 10 + A = 60
42 + 2A = 60
2A = 18
A= 9

6. 5 years ago, the age of Person 1 and 7 years hence, the age of Person 2 is in the ratio of 1: 2. 5 years hence, the age of Person 1 and Person 2 is in the ratio of 15: 19. Find the present age of Person 2?
34
33
32
31
30
Option B
5 years ago, the age of Person 1 and 7 years hence, the age of Person 2 is in the ratio = 1 : 2 (x, 2x)
Present age of Person 1 and Person 2 = x + 5, 2x – 7
5 years hence, the age of Person 1 and Person 2 is in the ratio = 15 : 19
By question,
= > (x + 5 + 5) / (2x – 7 + 5) = (15/19)
= > (x + 10) / (2x – 2) = (15/19)
= > 19x + 190 = 30x – 30
= > 11x = 220
= > x = 20
The present age of Person 2 = 2x – 7 = 33 years

7. Three men started a business by investing Rs. 30000, Rs. 40000 and Rs. 50000 respectively. Man 1 is a working partner and Man2 and Man 3 is a sleeping partner in a business. For managing the business, Man 1 will get 10 % of profit and the remaining will be shared by three of them. Find the difference between the share of Man 1 and Man 2, if the total profit at the end of the year is Rs. 92000?
2300
2100
2500
3400
3330
Option A
Man 1 get = 92000 * (10/100) = Rs. 9200
Remaining = 92000 – 9200 = Rs. 82800
The share of three,
= > 30000 : 40000 : 50000
= > 3 : 4 : 5
12’s = 82800
1’s = 6900
The share of Man1 = 9200 + (3 * 6900) = Rs. 29900
The share of Man 2 = (4 * 6900) = Rs. 27600
Required difference = 29900 – 27600 = Rs. 2300

8. Makesh got compund interest on a certain sum for 3 years at 15 % per annum is Rs. 20835, then find the corresponding simple interest he got for the same sum?
12000
16000
18000
20000
22000
Option C
Let the sum of money be x,
x * [(1 + (15/100))3 – 1] = 20835
x * [(115/100)3 – 1] = 20835
x * [(12167/8000) – 1] = 20835
x * (4167/8000) = 20835
x = 20835 * (8000 / 4167) = Rs. 40000
Corresponding SI:
SI = (40000 * 3 * 15) / 100 = Rs. 18000

9. 8 Males and 6 Females can do a work in 12 days. 10 males and 6 females can do the same work in 10 days. How long will 12 males and 8 females can take to do the work?
7 2/11
5 2/11
10 2/11
8 2/11
4 2/11
Option D
Total work = (male (or) female) * days
Work equal. So,
(8 m + 6 f) * 12 = (10 m + 6 f) * 10
48 m + 36 f = 50 m + 30 f
6 f = 2 m
3 f = 1 m
8 m + 6 f = 24 f + 6 f = 30 f
12 m + 8 f = 36 f + 8 f = 44 f
Female days
30 12
44 ?
(30 * 12) = (44 *x)
x = (30 * 12) / 44 = 8 2/11 days

10. Lara thrown two dice simultaneously. Find the difference of the dice is divisible by 3?
5
6
7
3
1
Option B
Possibilities of getting the difference of the dice is divisible by 3
= > (1, 4), (2, 5), (3, 6), (4, 1), (5, 2), (6, 3) = 6