# Mixed Quantitative Aptitude Questions Set 177

1. The L.C.M of 4/2, 2/6, 8/9 is
5/3
6/3
7/3
8/3
10/3
Option D
L.C.M= L.C.M of numerator/H.C.F of denominator
=L.C.M of 4,2,8/H.C.F of 3,6,9=8/3

2. The ratio between two number is 6:5 if their HCF is 10. Then the numbers are.
10,20
40,50
60,50
50,70
30,80
Option C
Let the number be 6x, 5x
HCF of 6x,5x=x
ie) x=10(given)
Then the numbers are 6x,5x=60,50

3. Find the average of first 14 natural number.
105
109
111
134
156
Option A
average of first n natural number=n(n+1)/2
here n=14
average=14(14+1)/2=7×15=105

4. The sum of ages of three sister born of the intervals of 2 years each is 42 years. What is the age of the youngest sister ?
11
12
13
14
15
Option B
x+(x+2)+(x+4)=42 (given the intervals are 2 years)
3x+6=42  x =36/2=12
 Age of the youngest sister=12 years

5. Cost of a mobile is Rs .5000 and selling price is Rs. 7000.What is the profit percent?
30
35
40
45
50
Option C
Profit % = p/c.p x 100
=2000/5000 x 100
P%=40

6. Ganesh can do a task in 4days . Prem can do a task in 3 days. How long if will take if both Ganesh &Prem work together?
2 d 3 hr
4d 6 hr
6 d 7 hr
1 d 5 hr
4 d 3 hr
Option D
Ganesh 1day work=1/4
Prem 1day work =1/3
(Ganesh+Prem) =1/4+1/3=7/12
So Ganesh& Prem will complete in 12/7=1 5/7=1day 5hrs together.

7. If a boat travels with a speed 25km/hr in still water and the speed of stream is 5km/hrs . What would be the time taken by boat to go 40 km upstream?
2
4
6
8
10
Option A
Upstream speed = x-y km/hr
=25-5=20 km/hr
T=distance/speed
T=40/20=2hrs

8. what is the simple interest on Rs 60000 at 5 ½% per annum for 2 years?
5900
6600
7700
6800
7800
Option B
S.I = P X R X T/100=60000 x 5 ½ x 2/ 100
S.I=Rs 6600

9. Ram deposits Rs .20,000 for 2years with 5% compound interest. What amount will be get at last?
22050
45000
13500
26500
24000
Option A
Amount= P x (1+r/100)n
=20000 X (1+5/100)2
=20000 x 105/100)2
=20000x 105×105/10000
=Rs .22050

10. A florist choose one rose at random from the basket which have rainbow colors of roses. what is the probability of choosing yellow color rose?
1/8
1/7
1/9
1/5
1/6
Option B
S=(rainbow color roses)
S=(V,I,B,G,Y,O,R)=N(S)=7
P(Yellow rose)=P(S)/N(S)=1/7 (Only one yellow rose)

11. How many multiples of 2 are there in 10 to 80?
42
40
38
36
48
Option D
Multiples of 2 =>last digits must be 0, 2, 4, 6, 8
And first digit 1,2 ,3,4,5,6,7,
So there are 7 choices for the first number and 5 choices for the second number.
So there are 5x 7 =3 5 + 1= 36 (include 80) multiples of 2 in between 10 and 80.

12. In a shop two partners invested in the ratio 10:20 and they got the profits in the ratio 5:4.If the first partner invest the money for 10 months the how many months the second partner invested?
12
14
16
18
20
Option C
Investment ratio: 10:20
Profit ratio :5:4
First partner invested 10 months.
Second parner invested x (take) months.
So 10 x 20 / 10 x x = 5/4
20/x = 5/4
x = 16 months

13. Two glasses of equal capacity contains sand and color powder.The ratio of the mixing is 2:3 and 5:4 respectively. These mixture are transferred into a big bowl.Then what is the ratio of sand and color powder in the bowl?
1:4
5:7
2:9
7:7
4:5
Option D
Ratio= 2 + 5 : 3+4 = 7: 7

14. The population of mosquitoes in a certain colony doubles every two hours. If 4 hours ago there were 1,000 mosquitoe in the colony, in approximately how many hours will the colony population exceed 250,000 mosquitoe?

6
8
10
12
14
Option D
4 hrs ago= 1000
now = 4000
12 hrs= 2,56,000 So approximately 12 hrs.

15. A boy can work equal to 2 days of girl in a day. One child can work one-third of the work done by a girl in 1 day. If an company owner hires 52 pairs of hands of boys, girls and children in the ratio of 6 : 5 : 2 and pays them in all Rs.1060 at the end of the work, then what will be the daily wages (in rupees) of a child?
4
5
6
7
8
Option B
1 boy = 2 girl and 1 girl = 3 children
Work done by 1 boy= work done by 2 girls= work done by 6 children
Ratio of their efficiency = 6 : 3 : 1
Let an estate-owner hires boys, girls and children as 6x, 5x and 2x respectively.
Given,
6x+5x+2x= 52
Or x=4
Number of boys = 24
girls=20 and children = 8
As wages are proportional to the amount of work done, then
Wages divided into ratio of = = 36 : 15 : 2
Share of children=1060/53 *2 = 40
Share of 1 child = 40/8=5