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ISBT Mathmetics for all banking PO,Clerk,IBPS PO,Railway,SSC,IAS,OAS Exams

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##### Thrice the age of A  is 7 times B's age. And C’s age is half of A's age. Also, nine years ago, A's age was one-third of B’s age then. What is the ratio between the age of the A,B and C age respectively ?
 1) 11:6:7 2) 11:6:3 3) 14:6:3 4) 14:6:7 5) None of these
Explanation : Given, 3A = 7B
or 3A - 7B = 0 ---------(I) and  A = 2C --------- (II)
And A-9 = (B-9)/3
or 3A-27 = B-9
or 3A - B = 18 ---------- (III)
from equations I and III , we get B = 3
A= 7 and C = 3.5
So, ratio of A,B and C i.e. A:B:C= 14:6:7

##### The ratio of the present age of  A  to that of  B is 3 : 11.  B  is 12 years younger than C. C ''s age after 7 years will be 85 years. What is the present age of  A's  father, who is 25 years older than A ?
 1) 33 years 2) 40 years 3) 43 years 4) 48 years 5) None of these
Answer : 43 years
Explanation :
Present age of C = 85 – 7 = 78 years
Present age of B = 78 – 12 = 66 years
Present age of A = 3
11 66 = 18 years
Present age of A’s father = 18 + 25 = 43 years
##### The sum of the present ages of A, B and C is 72 years. Also the sum of present ages of A and B is 42 years. What is the present age of C ?
 1) 30 yrs 2) 24 yrs 3) 18 yrs 4) 36 yrs 5) None of these
Answer : 30 yrs
Explanation : The present age of C = 72 - 42 = 30 years
##### Prasant's father was 48 years of age when he was born while his mother was 46 years old when his brother four years younger to his was born. What is the difference between the ages of his parents ?
 1) 4 years 2) 6 years 3) 8 years 4) 12 years 5) None of these
Answer : 6 years
Explanation :
Mother's age when Prasant's brother was born = 46 years.
Father's age when Prasant's brother was born = (48 + 4) years = 52 years.
Required difference = (52 - 46) years = 6 years.
##### The sum of the present ages of Alok and Prakash is 60 years. Six years ago, Alok's age was five times the age of Prakash. What will be the age of Prakash after 6 years ?
 1) 16 years 2) 18 years 3) 20 years 4) 24 years 5) None of these
Answer : 20 years
Explanation :
Let, the present ages of Alok and Prakash be x and (60 -x) years respectively.
Then, (60 - x) - 6 = 5(x - 6)
54 - x = 5x - 30
or 6x = 84
or x = 14.
So, Prakash's age after 6 years = (x+ 6) = 20 years.
##### A said to B, "I was as old as you are at the present at the time of your birth". If the age of A is 48 years now, what is the age of B five years back ?
 1) 14 years 2) 19 years 3) 24 years 4) 28 years 5) None of these
Answer : 19 years
Explanation :
Let, B's present age be x years. Then, (48 - x) = x
Or 2x = 48.
Or x = 24.
B's age 5 years back (24 - 5) = 19 years.
##### The ratio between the present ages of A and B is 2 : 3 respectively. Four years ago, the ratio between their ages was 5 : 8. respectively. What will be A’s age after 7 years ?
 1) 29 yrs 2) 35 yrs 3) 31 yrs 4) 33 yrs 5) None of these
Answer : 31 yrs
Explanation :
Let, the present ages of A and B be 2x years and 3x years respectively.
So, (2x-4)/(3x-4) = 5/8
or 16x - 32 = 15x -20
or  x = 12
Therefore, the Ages of A after 7 years = 2x + 7 = 2 x 12 + 7 = 31 years

##### The sum of the present ages of Ram, Shyam and Vijay is 72 years. Also the sum of present ages of Ram and Shyam is 42 years. What is the present age of Vijay ?
 1) 30 yrs 2) 24 yrs 3) 18 yrs 4) 36 yrs 5) None of these
Answer : 30 yrs
Explanation : The present age of Vijay = 72 - 42 = 30 years
##### The ratio between the present ages of Sachin and Sonal is 11 : 13 respectively. After 3 years Sonal's  age will be 29 years. What was Sachin's age ?
 1) 20 years 2) 22 years 3) 18 years 4) 24 years 5) None of these
Answer : 20 years
Explanation :
Let the shalini's and Sonal's present ages be 11x and 13 x years respectively.
After 3 years
13x + 3 = 29 or 13x = 29 - 3 = 26
X = 36/18 = 2
Shalini's age 2 years ago.
11x -2 = 11 x 2 - 2 = 20 years.
##### Q is as much younger than R as he is older than T. If the sum of the ages of R and T is 50 years, what is definitely the difference between R and Q's age ?
 1) 1 year 2) 2 year 3) 25 year 4) Can't be determined 5) None of these
Answer : Can't be determined
Explanation :
Given that,
The difference of age R and Q = The difference of age  Q and T.
Sum of age of R and T is 50 i.e. (R + T) = 50.
Then,  R - Q = Q - T
or (R + T) = 2Q
Now given that, (R + T) = 50
So, 50 = 2Q and therefore Q = 25.
Question is (R - Q) = ?
Here we know the value(age) of Q (25), but we don't know the age of R.
Therefore, (R-Q) cannot be determined.