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1 / 175
One lady has 2 children, one of her child is boy, what is the probability of having both are boys
A1/2
B1/3
C1/4
D1/5
ENone of above
Answer: Option B
Explanation:In a family with 2 children there are four possibilities:
1) the first child is a boy and the second child is a boy (bb)
2) the first child is a boy and the second child is a girl (bg)
3) the first child is a girl and the second child is a boy (gb)
4) the first child is a girl and the second child is a girl (gg)
Since we are given that at least one child is a girl there are three possibilities: bg, gb, or gg. Out of those three possibilities the only one with two girls is gg. Hence the probability is 1/3.
P=(b,b)(b,g)(g,b) = 1/3 for both boy
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2 / 175
5% of income of A is equal to 15% of income of B and 10% of income of B is eqaul to 20% of income of C. If income of C is Rs. 2000, then total income of A, B and C is
ARs. 6000
BRs. 18000
CRs. 20000
DRs. 14000
Answer: Option B
Explanation:Already given income of c,=Rs.2000
let x be the income of 'B'and'c'
Now,income of B is=(10/100)*x=(20/100)*2000(since 10% of income B is equal to 20% of income c)
Therefore, solving,x=4000 i.e)B=Rs.4000
Likewise income of A is=(5/100)*x=(15/100)*4000(since 5% of income A is equal to 15% of income B)
Therefore,A=Rs.12000
Total of A,B and C is=2000+4000+12000=18000 Rs.
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3 / 175
3 machines a,b,c can be used to produce a product. Machine a will take 60 hours to produce a million units. Machine b is twice as fast as machine a. Machine c takes the same amount of time as machine a and b taken together. How much time will be required to produce a million units if all the three machines are used simultaneously?
A12 hours
B10 hours
C8 hours
D5 hours
ENone of above
Answer: Option B
Explanation:1 hour capacity of
Machine a =1/60 million
Machine b =2*(1/60)=1/30 million
Machine c =(1/60)+(1/30)=1/20 million
So in 1 hour Machines a,b & c will produce (1/60)+(1/30)+(1/20)=1/10 million
Time taken to produce 1 million units=1/(1/10)=10 hours
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4 / 175
Given that a+2b=6, and ab=4
Find 2/a + 1/b=?
A3/4
B2/3
C3/2
D4/3
Answer: Option C
Explanation:2/a+1/b=x, by cross multiplication (2b+a/ab)=x
i.e., 6/4=x
Thereforex=3/2.
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5 / 175
What is the angle between the hands of a clock when time is 8:30?
A45 degrees
B65 degrees
C71 degrees
D75 degrees
Answer: Option D
Explanation:Clock has total 12 slots
Each slot==360/12=30 degree
Now at 8:30, total slots covered = 2.5
angle=2.5*30=75
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6 / 175
The ratio of white balls to black balls is 1:2. If 9 grey balls are added then the ratio of white:black:grey is 2:4:3. Find the number of black balls.
A10
B11
C12
D13
Answer: Option C
Explanation:If 9 grey balls added means, ratio of grey = 3 in all (i.e., 9/3 = 3)
Therefore, black balls = 3 *4 = 12
and the White balls = 3 *2 = 6
i.e., White = 6 ; Black = 12 ; Grey = 9 (Since 2:4:3 ratio)
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7 / 175
A man spends 75% of his income.If his income increases by 20%,then what will be his new expenditure?
A64%
B45%
C58.40%
D62.50%
ENone of above
Answer: Option D
Explanation:Let Rs 100 be the income
Expenditure=Rs75
Increased income=Rs120
Expenditure in amount is same.
So, expenditure % =75/120 *100=62.5%
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8 / 175
Three years ago, the average age of a family of 5 members was 17 years. A baby having been born , the average age of the family is the same today. The present age of the baby is :
A2 yrs
B2.4 yrs
C3 yrs
D1.5 yrs
Answer: Option A
Explanation:3 years back average age is 17
now 17*5=85+(5*3)=100
now average age of 6(baby)=17
17*6=102
baby age=102-100=2 years
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9 / 175
Five years ago, the average age of A, B, C and D was 45 years. With E joining them now, the average of all the five is 49 years. How old is E ?
A25 years
B40 years
C45 years
D64 years
Answer: Option C
Explanation:five years ago age is 45..so we can change to present after 5 years every person has increase on year..so is becomes 50 ..
soo,,50*4(persons)=200..
after e is adding now avg is 49 so 49*5(persons)=245..
e age is 245-200=45.
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10 / 175
if 12 men working 2 hours a day take 10 days to complete a job, how long will 8 men working 6 hours a day take to do the same work?
A3 days
B4 days
C5 days
D6 days
Answer: Option C
Explanation:12 men working 2 hours in a day means= 12 * 2hrs = 24hours of work complete in 1day.
Therefore for 10 days= 10 *24hours= 240hours of work done by 12men.
8 men working for 6hours in a day means= 8 *6hours= 48hours of work is completed in 1 day.
Therefore,
= 240/48=5days take to work by 8 men for 6hours in a day.
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