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Average Questions

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Three numbers A,B,Care in ratio 1:2:3. Their average is 600. If A is increased by 10% and B is increased by 20%, then to get the average increased by 5%, C will increased by:


A90

B100

C150

D180

Answer: Option D

Explanation:

Let be A= x, B=2x, and C=3x.
(x+2x+3x)/3=600
this will be x=300
so, the numbers will be 300,600,900
new average= 105%of 600= 630
Let 110% of 300+80% of 600 + y= 630*3
solve it for y, you will get, y=1080
so, increase in C= 1080-900 =180

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In a class the average age is 16yrs.if the teacher who is 40 yrs of age is also included ,the average becomes 17 yrs,how many students were there?


A12

B23

C32

DNone of these

Answer: Option B

Explanation:

Total= 16X

Total +40 = 17(X+1)
16X +40 = 17(X+1)
X= 23

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The average age of five persons is 40 years while the average age of some other 10 persons is 25 years. The average age of all the 15 persons is:


A27 Years

B32 Years

C37 Years

D30 Years

Answer: Option D

Explanation:

Average age for five person (x) = 40 years.
=>x/5=40 => x=200 years.
Average of 10 person (y) = 25 years.
y/10=25 => y=250 years.
so avg age of 15 person = (250+200) / 15==30 years.

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The average age of 30 students is 9 years .If the age of their teacher is included ,it becomes 10 years . The age of the teacher (in years ) is :


A27

B31

C35

D40

Answer: Option D

Explanation:

Given 30 students avg. age = 9 years.
So total age of 30 students = 9*30 = 270 years.
Teacher's age included.
So, avg. of 30 students + one teacher = 10 years.
=> Total age of 30 students + one teacher = 10 * 31 = 310 years.
Therefore age of teacher = (310-270) = 40 years.

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The average age of 24 boys and the teacher is 15 years. When the teacher's age is excluded, the average decreases by 1. What is the age of the teacher ?


A38 years

B39 years

C40 years

DData inadequate

Answer: Option B

Explanation:

Given one teacher + 24 students avg. age = 15 years.
So total age of one teacher + 24 students = 15*25 = 375 years.
Teacher's excluded
So, 24 students avg. age = 14 years.
=> Total age of 24 students = 24 * 14 = 336 years.
Therefore age of teacher = (375-336) = 39 years.

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The average of the first five prime numbers greater than 20 is:


A32.2

B31

C31.01

D32

ENone of these

Answer: Option A

Explanation:

23+29+31+37+41=161/5=32.2

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The average of three numbers is 20. If two numbers are 16 and 22, the third is :


A22

B20

C19

D18

Answer: Option A

Explanation:

Lets assume third no. = x.
x+16+22 = 60
=> x = 22

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The average weight of 3 men A, B and C is 84 kg. Another man D joins the group and the average now becomes 80 kg. If another man E, whose weight is 3 kg more than that of D, replaces A then the average weight of B, C, D and E becomes 79 kg. The weight of A is :


A70 kg

B72 kg

C75 kg

D80 kg

Answer: Option C

Explanation:

Weight for 3 men (A+B+C) = 84*3 = 252 -------- (i)
Weight of 4 men (A+B+C+D) = 80*4 = 320 ------- (ii)
So, D's weight = (320-252) = 68 kg (by solving eq. (i) & (ii))
then E's weight = (68+3) = 71 kg
Now, B+C+D+E = 79*4=316.....(iii)
B+C+68+71=316 => B+C = 177.....(iv)
Put value (B+C) in eq. (i)
A=(252-177) = 75kg

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The average of five results is 46 and that of the first four is 45. The fifth result is :


A1

B10

C12.5

D50

Answer: Option D

Explanation:

total result of 5 = 46*5 = 230
and first four result = 45*4 = 180
so fifth result = (230-180) = 50

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A reduction of 21% in the price of wheat enables a person to buy 10.5 kg more for Rs. 100. What is the reduced price per kg ?


ARs. 2

BRs. 2.25

CRs. 2.30

DRs. 2.50

Answer: Option A

Explanation:

Answer: Rs 2 per kg



Solutions:Let original rate = Rs. X per kg

New rate = 79% of Rs. X per kg

= Rs. (79 * X)/100) per kg

Now,

{(100/79X)/100} - {100/X} = 10.5

Or, 10000/79X - 100/X = 10.5

Or, 10000 - 7900 = 10.5 * 79X

So, X = 2100/(10.5 * 79)

Thus, X = 2100/(10.5 * 79) 

Reduced rate = Rs. (79/100) * 2100/(10.5 * 79) per kg = Rs. 2 per kg.

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