Directions(1-2): What will come in place of question mark (?) in the following series? 1. 320 160 240 600 2100 ?

A. 8350 B. 8850 C. 9450 D. 9650

Answer: Option C
Explanation:
2. 432 443 463 500 562 ?

A. 659 B. 657 C. 653 D. 651

Answer: Option B
Explanation:

Directions(1-2): Choose the correct alternative that will continue the same pattern and replace the question mark in the given series.
1. 120, 99, 80, 63, 48, ?

A. 35 B. 38 C. 39 D. 40

Answer: Option A
Explanation: The pattern is - 21, - 19, - 17, - 15,..... So, missing term = 48 - 13 = 35.
2. In series 2, 6, 18, 54, ...... what will be the [latex]{8}^{th}[/latex] term?

A. 4370 B. 4374 C. 7443 D. 7434

Answer: Option B
Explanation: Clearly, 2 x 3 = 6, 6 x 3 = 18, 18 x 3 = 54,..... So, the series is a G.P. in which a = 2, r = 3. ∴[latex]{8}^{th}[/latex] term = a[latex]{r}^{8-1}[/latex] = a[latex]{r}^{7}[/latex] = 2 x [latex]{3}^{7}[/latex] = (2 x 2187) = 4374.

1. On selling 17 balls at Rs. 720, there is a loss equal to the cost price of 5 balls. The cost price of a ball is:

A. Rs. 45 B. Rs. 50 C. Rs. 55 D. Rs. 60

Answer: Option D
Explanation: (C.P. of 17 balls) - (S.P. of 17 balls) = (C.P. of 5 balls) ⇒ C.P. of 12 balls = S.P. of 17 balls = Rs.720. ⇒ C.P. of 1 ball = Rs.[[latex]\frac{720}{12}[/latex] ] = Rs. 60.
2. The percentage profit earned by selling an article for Rs. 1920 is equal to the percentage loss incurred by selling the same article for Rs. 1280. At what price should the article be sold to make 25% profit?

A. Rs. 2000 B. Rs. 2200 C. Rs. 2400 D. Data inadequate

Answer: Option A
Explanation: Let C.P. be Rs. x. Then, [latex]\frac{1920 - x}{x}[/latex] x 100 = [latex]\frac{x - 1280}{x}[/latex] x 100 ⇒1920 - x = x - 1280 ⇒ 2x = 3200 ⇒x = 1600 ∴ Required S.P. = 125% of Rs. 1600 = Rs. [[latex]\frac{125}{100}[/latex] x 1600] = Rs 2000.

1. 5[latex]\frac{1}{5}[/latex] + 4[latex]\frac{1}{2}[/latex] + 4[latex]\frac{1}{3}[/latex] = ?

A. 14[latex]\frac{1}{10}[/latex] B. 13[latex]\frac{1}{5}[/latex] C. [latex]\frac{13}{30}[/latex] D. 14[latex]\frac{1}{30}[/latex]

Answer: Option D
Explanation: = 5[latex]\frac{1}{5}[/latex] + 4[latex]\frac{1}{2}[/latex] + 4[latex]\frac{1}{3}[/latex] = 5 + 4 + 4 + [latex]\frac{1}{5}[/latex] + [latex]\frac{1}{2}[/latex] + [latex]\frac{1}{3}[/latex] = 13 + [latex]\frac{31}{30}[/latex] = 13 + 1[latex]\frac{1}{30}[/latex] = 13 + 1 + [latex]\frac{1}{30}[/latex] = 14 + [latex]\frac{1}{30}[/latex] = 14 [latex]\frac{1}{30}[/latex]
2. [latex]\frac{4}{7}[/latex] of [latex]\frac{2}{3}[/latex] of [latex]\frac{5}{6}[/latex] of 1008 is

A. 200 B. 144 C. 64 D. 400

Answer: Option A
Explanation: = [latex]\frac{4}{7}[/latex] ([latex]\frac{2}{3}[/latex]([latex]\frac{5}{6}[/latex]([latex]\frac{5}{8}[/latex] x 1008))) = [latex]\frac{4}{7}[/latex] x [latex]\frac{2}{3}[/latex] x [latex]\frac{5}{6}[/latex] x [latex]\frac{5}{8}[/latex] x 1008 = 200

1. A sum of money is to be distributed among A, B, C, D in the proportion of 5 : 2 : 4 : 3. If C gets Rs. 1000 more than D, what is B's share?

A. Rs. 500 B. Rs. 1500 C. Rs. 2000 D. None of these

Answer: Option C
Explanation: Let the shares of A, B, C and D be Rs. 5x, Rs. 2x, Rs. 4x and Rs. 3x respectively. Then, 4x - 3x = 1000 ⇒ x = 1000. ∴ B's share = Rs. 2x = Rs. (2 x 1000) = Rs. 2000.
2. The salaries A, B, C are in the ratio 2 : 3 : 5. If the increments of 15%, 10% and 20% are allowed respectively in their salaries, then what will be new ratio of their salaries?

A. 3 : 3 : 10 B. 3 : 3 : 10 C. 23 : 33 : 60 D. Cannot be determined

Answer: Option C
Explanation: Let A = 2k, B = 3k and C = 5k. A's new salary = [latex]\frac{115}{100}[/latex] of 2k = [[latex]\frac{115}{100}[/latex] x 2k] = [latex]\frac{23k}{10}[/latex] B's new salary = [latex]\frac{110}{100}[/latex] of 3k = [[latex]\frac{110}{100}[/latex] x 3k] = [latex]\frac{33k}{10}[/latex] C's new salary = [latex]\frac{120}{100}[/latex] of 5k = [[latex]\frac{120}{100}[/latex] x 5K] = 6k ∴ New ratio [[latex]\frac{23k}{10}[/latex]: [latex]\frac{33k}{10}[/latex]: 6k] = 23 : 33 : 60