Question 1

-A father said to his son, "I was as old as you are at the present at the time of your birth". If the father's age is 48 years now, the son's age 5 year back was

Accepted Answer

B

Question 2

-A is 2 years older than B who is twice as old as C. If the total of the ages of A,B and C is 27, how old is B?

Accepted Answer

D

Question 3

-Sachin is younger than Rahul by 7 years. If their ages are in the respective ratio of 7:9, how old is Sachin?

Accepted Answer

Sachin's age is calculated by setting up the equation based on the given ratio and difference in ages: Let Sachin's age be x, then Rahul's age is x + 7. Given their ages are in the ratio 7:9, we have x/(x+7) = 7/9. Solving for x gives Sachin's age as 24.5 years.

Question 4

-The present ages of three persons are in proportions 4:7:9. Eight years ago, the sum of their ages was 56. Their present ages are

Accepted Answer

The answer of -The present ages of three persons are...

Question 5

56-Six friends are sitting in a circle and are facing the centre of the circle. Deepa is between Prakash and Pankaj. Priti is between Mukesh and Lalit. Prakash and Mukesh are opposite to each other. Who is just right to Pankaj?

Accepted Answer

Since Deepa is between Prakash and Pankaj, and they are facing the center, Deepa must be to the immediate right of Pankaj in a circular arrangement.

Question 6

-If South-East becomes North, North East becomes West and so on. What will west become?

Accepted Answer

In this scenario, every direction is rotated 135 degrees clockwise. Therefore, West becomes South-East.

Question 7

-Rahul put his timepiece on the table in such a way that at 6PM, hour hand points to North. In which direction the minute hand will point at 9.15PM?

Accepted Answer

The answer of -Rahul put his timepiece on the table...

Question 8

-Sachin walks 20km towards North. He turns left and walks 40km. He again turns left and walks 20km. Finally he moves 20km after turning to the left. How far is he from his starting position?

Accepted Answer

Sachin ends up 20km west of his starting position, as his final movements form a rectangle.

Question 9

-If ?p+?q=16 and ?p-?q=8, then the value of p/q is

Accepted Answer

The answer of -If ?p+?q=16 and ?p-?q=8, then the value...

Question 10

-If 93n+2 = 275n+1, then 'n' is equal to

Accepted Answer

The equation can be simplified to 93n/275n = 1/2. Simplifying further, we get 3n/11n = 1/2, leading to n = 1/9.

Question 11

-The value of ?48 x ?192 x ?225 is

Accepted Answer

The expression can be simplified by taking the square root of each term: √48 x √192 x √225. Simplifying each square root gives: √48 = 4√3, √192 = 8√3, and √225 = 15. Multiplying these together gives: 4√3 x 8√3 x 15 = 32 x 3 x 15 = 1440.

Question 12

63-If 'x' is a positive real number and ?1296/x = x/2.25, the 'x' is equal to

Accepted Answer

To solve the equation 1296/x = x/2.25, multiply both sides by x to get 1296 = x^2/2.25. Then multiply both sides by 2.25 to get x^2 = 1296 * 2.25. Solving for x gives x = 9.0.

Question 13

-Lease Common multiple (LCM) of 5/2, 10/6 and 25/4 is

Accepted Answer

The answer of -Lease Common multiple (LCM) of 5/2, 10/6...

Question 14

-If A:B=6:7 and B:C=8:9, the value of C:A is

Accepted Answer

Given A:B = 6:7 and B:C = 8:9, to find C:A, first find a common term for B in both ratios. Multiply the first ratio by 8 and the second by 7 to get A:B = 48:56 and B:C = 56:63. Now, C:A = 63:48, which simplifies to 21:16.

Question 15

-The value of (0.525 x 0.525 - 0.275 x 0.275) / (0.525 - 0.275) is

Accepted Answer

The answer of -The value of (0.525 x 0.525 -...

Question 16

68-In class of 250 students, 75.8% took French and 49.4% took Latin. How many students took both French and Latin?

Accepted Answer

To find the number of students who took both French and Latin, use the formula for the intersection of two sets: n(F ∩ L) = n(F) + n(L) - n(F ∪ L). Here, n(F) = 0.758 * 250, n(L) = 0.494 * 250, and n(F ∪ L) = 250. Solving gives n(F ∩ L) = 63.0.

Question 17

-The mean of 100 items was found to be 40. If at the time of calculation two items were wrongly taken as 36 and 32 instead of 54 and 34, the correct mean is

Accepted Answer

The answer of -The mean of 100 items was found...

Question 18

-Mohan buys a cycle for Rs. 1400 and sells it to Sohan at a loss of 15%. Sohan again sells it to Ravi at a profit of 15%. What is the selling price of Ravi?

Accepted Answer

The answer of -Mohan buys a cycle for Rs. 1400...

Question 19

-The cost price of 20 articles is the same as the selling price of 'x' articles. If the profit is 25% then the value of 'x' is

Accepted Answer

The answer of -The cost price of 20 articles is...

Question 20

-Suresh, the son of Mahesh is married to Sia, whose sister Jia is married to Amar, the brother of Suresh. How is Jia related to Mahesh?

Accepted Answer

Jia is married to Amar, who is Suresh's brother. Since Suresh is Mahesh's son, Jia is Mahesh's daughter-in-law.

Quiz 3: Mathematical Word Problems