Q1. The present age of a father is 3 years more than three times the age of his son. Three years hence, father’s age will be 10 years more than twice the age of the son. Find the present age of the father.
So, as per question
x – 3y = 3 ……….(i)
x + 3 – 2 (y + 3) = 10
or x – 2y = 13 ……….(ii)
From (i) and (ii) we get
y = 10, x = 33
Q2. How many permutations can be made using the letters of the word ‘BHATNAGAR’ such that ‘N’ always comes in the middle and B and R always come at end places (Repetition of letters is not allowed)?
Q3. A student has to answer 11 out of 14 questions only in an examination such that he must choose at least 5 from the first 6 questions. The number of ways available to him is.
Q4. The average age of Megha and Ritu is 18 years. Six years hence, Megha’s age will be two times of Ritu’s age. Find present age of Megha.
Ritu’s age = y years
∴ x + y = 36 …(i)
And,
x + 6 = 2(y + 6)
⇒ x – 2y = 6 …(ii)
Solving eq. (i) and (ii), we get
x = 26 years, y = 10 years
Q5. In how many different ways the letters of word ‘DANGER’ can be arranged?
Directions (6-10): What will come in the place of question (?) mark:
Q6.
Q7. 23% of 600 + 33% of 800 = ? + 53% of 400
= 138 + 264 – 212
= 190
Q8. 2341 + 4451 + 6329 – 8431 = ?
Q9. 43% of 500 + 250% of 60 = ? + 150% of 80
= 365 – 120
= 245
Directions (11-15): The following pie charts show the distribution of students of class 10th and 12th in seven different schools namely P, Q, R, S, T, U and V
Q11. Student studying in class 10th in school U are more than the students studying in class 12th of school R by what number?
Q12. What is the difference between total number of students studying in class 10th in school R, S, T, & U together and students studying in class 12th in school P, Q, and V together?
= 13965 – 7095
= 6870
Q13. 42% of students studying in class 10th in school Q failed in an examination. If the ratio of boys and girls in the failed group is 4 : 3, then find the number of girls who failed in examination.
Q14. Average number of students studying in class 12th of school S & T together are approximately what percent more than the number of students studying in class 10th of school P?
Q15. In a fest, it was decided to select 30% of students studying in class 10th& 20% of students studying in class 12th from every school. What is the average number of students selected for the fest?