Directions (1 - 5): What will come in place of question mark (?) in the following number series?
1. 6, 9, 18, 45, 135, ? (a) 470 (b) 472.5 (c) 493.75 (d) 476.5 (e) 439 Answer: b
2. 66, 35, 72, 38, 78, ? (a) 39 (b) 158 (c) 37 (d) 41 (e) 40 Answer: d
3. 29, 33, 60, 76, 201, ? (a) 391 (b) 139 (c) 237 (d) 211 (e) 229 Answer: c
4. 5, 7.25, 13.5, 25.75 46, ? (a) 70.25 (b) 71.25 (c) 73.25 (d) 75.25 (e) 76.25 Answer: e
5. 138, 269, 532, 1059, 2114, ? (a) 4405 (b) 4025 (c) 4252 (d) 4225 (e) 4325 Answer: d

The given graph represents the number of users of three Telecom services Jio, Vodafone and Airtel across 5 cities Mumbai, Delhi, Kolkata, Punjab and Patna.

Number of users (in thousands)

1. What is the total number of users of Vodafone and Airtel across all five cities together? A. 5350 B. 5800 C. 5750 D. 5700 E. None of these Answer: A
2. The number of users of Jio and Vodafone together in Patna is what percent of the number of users of Vodafone and Airtel together in Delhi? A. 120% B. 130% C. 135% D. 140% E. None of these Answer: C
3. What is the average number of users of Jio and Airtel across all five cities together? A. 535 B. 545 C. 540 D. 550 E. None of these Answer: B
4. What is the difference between the total number of users of Jio, Vodafone and Airtel together in Kolkata and the total number of users of Jio, Vodafone and Airtel together in Mumbai? A. 100 B. 200 C. 150 D. 250 E. None of these Answer:
5. What is the ratio of the number users of Jio, Vodafone and Airtel together in Patna to the number of users of Vodafone and Airtel together in Punjab? A. 4 : 3 B. 3 : 4 C. 4 : 5 D. 5 : 4 E. None of these Answer: D

Directions(1 - 5): In the following questions, two equations numbered are given in variables x and y. You have to solve both the equations and find out the relationship between x and y. Then give answer accordingly:
1. I. 3[latex]x^2[/latex] – 5x – 12 = 0 II. 4[latex]y^2[/latex] – 9y – 9 = 0 A) If x > y B) If x < y C) If x ≥ y D) If x ≤ y E) If x = y or relation cannot be established Answer: E
2. I. 2[latex]x^2[/latex] + 11x + 14 = 0 II. 3[latex]y^2[/latex] – 7y – 6 = 0 A) If x > y B) If x < y C) If x ≥ y D) If x ≤ y E) If x = y or relation cannot be established Answer: B
3. I. 3[latex]x^2[/latex] + 19x + 20 = 0 II. 4[latex]y^2[/latex] – 13y – 12 = 0 A) If x > y B) If x < y C) If x ≥ y D) If x ≤ y E) If x = y or relation cannot be established Answer: B
4. I. 4[latex]x^2[/latex] – 9x – 9 = 0 II. 4[latex]y^2[/latex] + 15y + 9 = 0 A) If x > y B) If x < y C) If x ≥ y D) If x ≤ y E) If x = y or relation cannot be established Answer: C
5. I. [latex]x^2[/latex] = 1156, II. y = [latex]\sqrt{1156}[/latex] A) If x > y B) If x < y C) If x ≥ y D) If x ≤ y E) If x = y or relation cannot be established Answer: D

Directions(1 - 5): Study the following table carefully and answer the given questions.

Note: Few values are missing in the able (indicated by – ). A candidate is expected to calculate the missing value, if it is required to answer the given question on the basis of the given information.
1. Out of the number of qualifies candidates from State P in 2008, the ratio of male to female candidates is 11 : 7. If the number of female qualified candidates from State P in 2008 is 126, what is the number of appeared candidates (both male and female) from State P in 2008? A. 630 B. 510 C. 570 D. 690 E. 540 Answer: E
2. The number of appeared candidates from State Q increased by 100% from 2006 to 2007. If the total number of qualified candidates from State Q in 2006 and 2007 together is 408, what is the number of appeared candidates from State Q in 2006? A. 380 B. 360 C. 340 D. 320 E. 300 Answer: C
3. What is the difference between the number of qualified candidates from State P in 2006 and that in 2007? A. 12 B. 22 C. 14 D. 24 E. 16 Answer: A
4. If the average number of qualified candidates from State Q in 2008, 2009 and 2010 is 210, what is the number of qualified candidates from State Q in 2010? A. 191 B. 195 C. 183 D. 187 E. 179 Answer: D
5. If the ratio of the number of qualified candidates from State P in 2009 to that in 2010 is 14 : 9, what is the number of qualified candidates from State P in 2010? A. 252 B. 207 C. 216 D. 234 E. 198 Answer: C

Miscellaneous Questions consist of questions from different topics such as – Simple Interest, Age, Boat & stream, mixture and allegations,profit, loss and discount.
1. A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 854 in 4 years. The sum is: A. Rs. 650 B. Rs. 690 C. Rs. 698 D. Rs. 700 Answer: C
2. The present ages of three persons in proportions 4 : 7 : 9. Eight years ago, the sum of their ages was 56. Find their present ages (in years). A. 8, 20, 28 B. 16, 28, 36 C. 20, 35, 45 D. None of these Answer: B
3. A man's speed with the current is 15 km/hr and the speed of the current is 2.5 km/hr. The man's speed against the current is: A. 8.5 km/hr B. 10 km/hr. C. 12.5 km/hr D. 9 km/hr Answer: B
4. Tea worth Rs. 126 per kg and Rs. 135 per kg are mixed with a third variety in the ratio 1 : 1 : 2. If the mixture is worth Rs. 153 per kg, the price of the third variety per kg will be: A. Rs. 169.50 B. Rs. 170 C. Rs. 175.50 D. Rs. 180 Answer: C
5. When a plot is sold for Rs. 18,700, the owner loses 15%. At what price must that plot be sold in order to gain 15%? A. Rs. 21,000 B. Rs. 22,500 C. Rs. 25,300 D. Rs. 25,800 Answer: C

1. [latex]\sqrt{33124} × \sqrt{2601}-(83)^²[/latex] = [latex](?)^2 + (37)^2[/latex] A. 37 B. 33 C. 34 D. 28 E. None of these Answer: E
2. [latex]22440 ÷ \sqrt{?}[/latex] = 34 × 12 A. 55 B. 3136 C. 65 D. 3025 E. None of these Answer: D
3. [latex] \sqrt {915849} + \sqrt {795664}[/latex]= [latex]?^² [/latex] A. 1849 B. 79 C. 33 D. 37 E. None of these Answer: E
4. 7158 + 0.7 × 540 + 12.5% of 672 = ? × 15 A. 58 B. 108 C. 378 D. 508 E. 664 Answer: D
5. 87.5% of 3888 – 462 × 6 = ? % of 4200 A. 8 B. 10 C. 12 D. 15 E. 20 Answer: D