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Question 1 of 5
1. Question
In a family, the average age of father and mother is 35 yr. The average age of the father, mother and their only son is 27 yr. What is the age of the son?
Correct
Answer : b
Because Total age of father and mother = 35x 2 =70 yr
And total age of father, mother and son = 27x 3 = 81 yr
∴Age of son = 81 – 70 = 11 yr
Incorrect
Answer : b
Because Total age of father and mother = 35x 2 =70 yr
And total age of father, mother and son = 27x 3 = 81 yr
∴Age of son = 81 – 70 = 11 yr
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Question 2 of 5
2. Question
At present, Palash is three times Arnav’s age. After 7 yr, Palash will be twice Arnav s age, then how many times will Palash’s age be in another 14 yr time with respect to Arnav’s age then?
Correct
Answer : a
Let Arnav’s age = x yr
Then, Palash’s age = 3x yr
According to the question,
3x + 7 = 2(x +7)
3x +7 = 2x +14
X = 7
∴age of Arnav after 14 yr = 7+ 14 = 21 yr
and Palash’s present age = 21 yr
Hence,
Palash’s age is one time of Arnav’s age.
Incorrect
Answer : a
Let Arnav’s age = x yr
Then, Palash’s age = 3x yr
According to the question,
3x + 7 = 2(x +7)
3x +7 = 2x +14
X = 7
∴age of Arnav after 14 yr = 7+ 14 = 21 yr
and Palash’s present age = 21 yr
Hence,
Palash’s age is one time of Arnav’s age.
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Question 3 of 5
3. Question
The sum of five consecutive numbers is 190. What is the sum of the largest and the smallest numbers?
Correct
Answer : c
Let the five consecutive numbers are
X – 2, x – 1, x, x + 1, x + 2.
Sum of numbers = 190
∴x – 2 + x – 1 +x +x + 1 + x + 2 = 190
5x = 190
X = 38
Sum of largest and smallest numbers = x + 2 + x -2 = 2x = 2 x 38 = 76
Incorrect
Answer : c
Let the five consecutive numbers are
X – 2, x – 1, x, x + 1, x + 2.
Sum of numbers = 190
∴x – 2 + x – 1 +x +x + 1 + x + 2 = 190
5x = 190
X = 38
Sum of largest and smallest numbers = x + 2 + x -2 = 2x = 2 x 38 = 76
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Question 4 of 5
4. Question
The product of two consecutive odd numbers is 19043. Which is the smaller one?
Correct
Answer : a
Let the two consecutive odd numbers are x and x+2.
According to the question, x (x+2) = 19043
Incorrect
Answer : a
Let the two consecutive odd numbers are x and x+2.
According to the question, x (x+2) = 19043
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Question 5 of 5
5. Question
The difference between a two-digit number and the number obtained by interchangıng the two digits of the number is 18. The sum of the two digits of the number is 12. What is the product of the digits of two-digit number?
Correct
Answer : a
Let the unit’s digit be y and ten’s digit be x.
Then, the number = 10x + y
When interchanging the place, the number is 10y + x.
According to the question,
(10x+ y) – (10y + x) = 18
10 x + y -10y – x = 18
9x – 9y=18
X – y = 2
and x+y = 12
On adding Eqs. (1) and (2), We get
x = 7
∴ x = 7 and y = 5
Product = xy = 7x 5 = 35
Incorrect
Answer : a
Let the unit’s digit be y and ten’s digit be x.
Then, the number = 10x + y
When interchanging the place, the number is 10y + x.
According to the question,
(10x+ y) – (10y + x) = 18
10 x + y -10y – x = 18
9x – 9y=18
X – y = 2
and x+y = 12
On adding Eqs. (1) and (2), We get
x = 7
∴ x = 7 and y = 5
Product = xy = 7x 5 = 35
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