1. Sum of first 12 terms of a GP is equal to the sum of the first 14 terms in the same GP. Sum of the first 17 terms is 92, what is the third term in the GP?

1. 92
2. -92
3. 46
4. 231
Answer: Option A Explanation: Sum of first 12 terms is equal to sum of first 14 terms. Sum of first 14 terms = Sum of first 12 terms + 13th term + 14th term => 13th term + 14th term = 0 Let us assume 13th term = k, common ratio = r. 14th term will be kr. k + kr = 0 k (1 + r) = 0 => r = -1 as k cannot be zero Common ratio = -1. Now, if the first term of this GP is a, second term would be -a, third would be a and so on The GP would be a, -a, a, -a, a, -a,… Sum to even number of terms = 0 Sum to odd number of terms = a Sum to 17 terms is 92 => a = 92 Third term = a = 92
[/vc_column_text][vc_column_text]2. The following chart gives the revenue share of different companies in the tech sector in Cuckooland. : Total revenue in 2006 was \$21.2 bn, total revenue in 2005 was \$18.1 bn. What was the growth rate seen in Centure?
1. 11%
2. 35%
3. 20%
4. 27%
Answer: Option C Explanation: CENTURE grew from 8.3% of \$18.1 bn to 8.5% of \$21.2 bn. Or, from \$1.502bn to \$1.802bn, a growth rate of 20%.
[/vc_column_text][vc_column_text]3. A, B, C, X, Y, Z are seated in a straight line facing North. C is third to the right of Z and B sits second to the right of C. X sits to the immediate right of A. Question 1: Which of the following represents the pairs of persons sitting exactly in the middle of the line? (a) XB (b) ZB (c) BX (d) XC (e) XY Question 2: What is X’s position with respect to Z? (a) Immediate right of Z (b) Second to the left (c) Third to the right (d) Second to the right (e) None of these Question 3: Four of the following five are alike in a certain way based on their seating positions in the above arrangement and so form a group. Which is the one that does not belong to the group? (a) ZA (b) XC (c) CY (d) YB (e) XA Question 4: How many persons are seated between A and C ? (a) One (b) Two (c) Three (d) Four (e) None of these
Explanation: From the given statements we can make the following table: Answer 1: (d) XC is in the middle. Correct option is (d). Answer 2: (d) X is 2nd to the right of Z. Correct option is (d) Answer 3: (e) The first letter is to the immediate left of A. Correct option is (e). Answer 4: (a) X is the person between A and C. Correct option is (a)
[/vc_column_text][vc_column_text]4. Identify the error in the sentence given below [A] Film viewers claim that [B] The number of scenes depicting alcohol consumption [C] Have increased dramatically over [D] The last decade
Answer: The subject ‘The Number’ is singular and requires a singular verb ‘Has Increased’
[/vc_column_text][vc_column_text]5. Which Indian cartoonist has won 2017 World Wide Fund for Nature (WWF) International President’s Award? [A] Rohan Chakravarty [B] Sudhir Dar [C] O V Puthukkody [D] Satish Acharya
Answer: Option A Explanation: Rohan Chakravarty, a young Indian Wildlife and environment cartoonist, has won the World Wide Fund for Nature (WWF) International President’s Award in Manado, Indonesia for his efforts to inspire change and attitudes towards nature. The award is the global conservation organization’s top accolade to recognize outstanding leadership in young conservationists from around the world. The award acknowledges and encourages outstanding achievements of young people under the age of 30 who are making significant contributions to nature conservation
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