- The L.C.M of 4/2, 2/6, 8/9 is
5/36/37/38/310/3Option 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 - The ratio between two number is 6:5 if their HCF is 10. Then the numbers are.
10,2040,5060,5050,7030,80Option C

Let the number be 6x, 5x

HCF of 6x,5x=x

ie) x=10(given)

Then the numbers are 6x,5x=60,50 - Find the average of first 14 natural number.
105109111134156Option A

average of first n natural number=n(n+1)/2

here n=14

average=14(14+1)/2=7×15=105 - 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 ?
1112131415Option 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 - Cost of a mobile is Rs .5000 and selling price is Rs. 7000.What is the profit percent?
3035404550Option C

Profit % = p/c.p x 100

=2000/5000 x 100

P%=40 - 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 hr4d 6 hr6 d 7 hr1 d 5 hr4 d 3 hrOption 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. - 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?
246810Option A

Upstream speed = x-y km/hr

=25-5=20 km/hr

T=distance/speed

T=40/20=2hrs - what is the simple interest on Rs 60000 at 5 ½% per annum for 2 years?
59006600770068007800Option B

S.I = P X R X T/100=60000 x 5 ½ x 2/ 100

S.I=Rs 6600 - Ram deposits Rs .20,000 for 2years with 5% compound interest. What amount will be get at last?
2205045000135002650024000Option 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 - 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?
1/81/71/91/51/6Option 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) - How many multiples of 2 are there in 10 to 80?
4240383648Option 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. - 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?
1214161820Option 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 - 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?
1:45:72:97:74:5Option D

Ratio= 2 + 5 : 3+4 = 7: 7 - 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?
68101214Option D

4 hrs ago= 1000

now = 4000

12 hrs= 2,56,000 So approximately 12 hrs. - 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?

45678Option 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