ANSWERS
ENGLISH VOCABULARY
1. a. Bitterness
2. a. Worthless
3. c. Fear
4. a. Exciting
5. c. Harmful
6. a. Vocal
7. b. Everywhere
8. c. Depressed
9. c. Discord
10. c. Disdain
MATH
11. x^2 - 6x + 9 = 0
This can be written as:
(x - 3)(x - 3) = 0
Thus, x = 3
Answer: b. 3
12. Sequence 2, 5, 10, 17...
The difference between the terms is increasing by 3.
5 - 2 = 3
10 - 5 = 5
17 - 10 = 7
The next difference is 9.
17 + 9 = 26
Answer: a. 26
13. Salary Question
Let the salary be x.
Amount after rent = 0.75x
Amount after groceries = 0.75x 0.70 = 0.525x
So, 0.525x = 4050
x = 4050 / 0.525 = $7714.29
The closest answer is: b. $7500
14. Volume of Cylinder
Volume = πr^2h
Volume = (22/7) 7^2 10
Volume = (22/7) 49 10 = 1540 1.4 = 2156 cm^3
The closest answer is: b. 2140 cm^3
15. Average of Five Numbers
Sum = Average Number of terms
Sum = 24 5 = 120
Answer: b. 120
16. 15% of a Number
15% of x = 30
x = 30 100 / 15 = 200
Answer: b. 200
17. Train's Speed
Speed = Distance/Time
Speed = 540km/6h = 90 km/h
Answer: b. 90 km/h
18. Cat and Dog Problem
Total = Cat + Dog - Both + Neither
60 = 35 + 25 - Both + 8
Both = 8
Answer: d. 8
19. System of Equations
From the second equation, 2x - y = 6
y = 2x - 6 ...(i)
Putting the value of y from (i) to the first equation,
3x + 4(2x - 6) = 17
3x + 8x - 24 = 17
11x = 41
x = 41/11 = 3.73
Using x value in equation (i), y = 1.46
The closest value is a. 1
20. Percentage Difference
75% of x - 25% of x = 100
50% of x = 100
x = 100 2 = 200
Answer: c. 200
CURRENT AFFAIRS AND GENERAL KNOWLEDGE
21. d. South Sudan
22. a. WHO
23. c. 2020
24. d. Japan
25. c. Journalists Maria Ressa and Dmitry Muratov
26. c. 9
27. b. Cardano
28. c. Indonesia
29. d. Damon Galgut
30. b. China