Q1. The ratio between two numbers is 3:5. If the smaller number is increased by 20% and the bigger one is decreased by 25%, the new ratio of numbers (smaller: bigger) will be –
Q2. The difference between C.I. and S.I. on a certain sum at the rate of 10% per annum for 2 years is Rs. 122. Find that sum (in Rs).
Q3. The average of 5 consecutive odd numbers is 25. What is the product of smallest and second largest numbers?
Q4. In how many ways the letter of the word ‘TWEET’ can be arranged?
Q5. A train crosses a tunnel and a standing man in 36 and 6 seconds respectively. If the speed of train be 48 kmph, what is the length of tunnel?
Directions (6-10): What should come in place of the question mark (?) in the following questions?
Q6. 2115 ÷ ? = 94 × 15
Q8. 748 × ? × 9 = 861696
Q9. 6573 ÷ 21 × (0.2)² =?
Q10. 74156 – ? – 321 – 20 + 520 = 69894
= 4441
Directions (11-15): In each of these questions, two equations (I) and (II) are given. You have to solve both the equations and give answer accordingly.
Q11. I. a² – 11a + 24 = 0
II. b² + 3b – 18 = 0
a² – 8a – 3a + 24 = 0
a (a– 8) – 3 (a– 8) = 0
(a – 8) (a– 3) = 0
a = 8, 3
II. b² + 3b – 18 = 0
b² +6b – 3b – 18 = 0
b (b + 6) – 3 (b + 6) = 0
(b – 3) (b+ 6) = 0
b = 3, –6
a ≥ b
Q12. I. 2a² + 17a + 35 = 0
II. 3b² + 17b + 24 = 0
2a² + 10a+ 7a + 35 = 0
2a (a+ 5) +7 (a+ 5) = 0
(2a+ 7) (a+ 5) =0
a = -7/2, -5
II. 3b² + 17b + 24 = 0
3b² + 9b + 8b + 24 = 0
3b (b + 3) + 8 (b+ 3) = 0
(b+ 3) (3b + 8) = 0
b= -3,-8/3
b > a
Q13. I. a² + 72 = 108
II. b³ + 581 = 365
a² =108 – 72 = 36
a = ±6
II. b³ + 581 = 365
b³ = –216
b = –6
a ≥ b
Q14. I. 2a + 3b = 72
II. a + 2b = 42
II. a + 2b = 42 …(ii)
On solving (i) & (ii)
a = 18 b = 12
a > b
Q15. I. a² – 14a + 48 = 0
II. b² – 10b + 24 = 0
a² – 8a – 6a + 48 = 0
a(a–8) –6 (a– 8) = 0
(a– 8) (a–6) = 0
a = 8, 6
II. b² – 10b + 24 = 0
b² – 6b– 4b + 24 = 0
b (b– 6) – 4 (b –6) = 0
(b–4) (b– 6) = 0
b= 4, 6
a ≥ b