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Father is 5 years older than the mother and mother's age now is thrice the age of the daughter. The daughter is now 10 years old. What was father's age when the daughter was born?
Answer: (a)
Let father's, mother's and daughter's present age be F, M, D respectively.
We have, F = M + 5, M = 3D and D = 10
⇒ M = 3 × 10 = 30 years and F = 30 + 5 = 35 years
The father's age at the time of birth of the daughter
= 35 - 10 = 25 years
If three numbers are added in pairs, the sums equal 10, 19 and 21. The numbers are
Answer: (c)
Let the numbers be x, y and z.
Then, x + y = 10 ..... (1) y + z = 19 ..... (2) x + z = 21 ..... (3)
Adding (1), (2) and (3), we get :
2 (x + y + z) = 50
or x + y + z = 25.
Thus, x = 25 - 19 = 6; y = 25 - 21 = 4; z = 25 - 10 = 15.
Hence, the required numbers are 6, 4 and 15.
When 24 is subtracted from a number, it reduces to its fourseventh. What is the sum of the digits of that number ?
Answer: (a)
Let the number be x, Then,
$x - 24 = 4/7 x ⇔ x - 4/7 x = 24 ⇔ 3/7 x = 24$
⇔ $x = ({24 × 7}/3)$ = 56.
The linear equation such that each point on its graph has an ordinate four times its abscissa is:
Answer: (c)
y = 4x,
When, x = 1, y = 4
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