Q1. The average age of some males and 15 females is 18 years. The sum of the ages of 15 females is 240 years and average age of males is 20 years. Find the number of males.
∴ (n + 15) × 18 = 240 + 20n
⇒ n = 15
Q2. The difference between the present age of Arun and Deepak is 14 years. Seven years ago the ratio of their ages was 5 : 7 respectively. What is Deepak’s present age ?
Arun’s present age = (5x + 7) years
ATQ,
7x – 5x = 14
x = 7
∴ Deepak’s present age = 49 + 7 = 56 years
Q3. Mr. X invested an amount for 2 years at 15 percent per annum at simple interest. Had the interest been compounded annually, he would have earned Rs. 450/- more as interest. What was the amount invested ?
Q4. In how many different ways can the letters of the word ‘DRASTIC’ be arranged in such a way that the vowels always come together ?
Total vowels = A, I (2)
∴ Required no. of ways = 6! × 2! = 1440
Q5. A bag contains 20 balls marked 1 to 20. One ball is drawn at random. Find the probability that it is marked with a number multiple of 5 or 7.
Directions (6–10): Study the following pie-charts carefully and answer the questions below it.
Q6. What is the difference between the funds acquired by school from NGO’s and internal sources?
= (15%-5%) of 500 lakhs
= 50 lakhs
Q7. If the school managed ‘school maintenance’ from the fund obtained from ‘government agencies’ only, then how much fund from government agencies would still be left for other use?
= 45% of 500 lakhs – 20%of 45% of 500 lakhs
= 180 lakhs
Q8. If scholarship has to be paid out of the donation found, then what is the approximate per cent of donation found used for this purpose?
Q9. What is the total amount used by the school for payment?
Q10. What amount of the fund is acquired by the school from government agencies?
= 225 lakhs
Directions (11-15): What will come in place of question mark (?) in the following no. series?
Q11. 3, 5, 8, 12, 17, ?, 30
Q12. 1, 8, 27, 64, ?, 216, 343
1³, 2³, 3³, 4³, 5³, 6³
∴ ? = 125
Q13. 18, 21, 16, 23, 14, ?
Q14. 0.4, 2.4, ?, 27.4, 114.6, 579
×1+2, ×2+3, ×3+4, ×4+5, ×5+6 ………
∴ ? = 2.4×2+3
= 7.8
Q15. 4.5, 7, 18, ?, 335, 2004
×2 – 2, ×3 – 3, ×4 – 4, ……..
∴ ? = 18 × 4 – 4 = 68