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CAT Exam  >  CAT Questions  >  1, 8, 28, 99, 412, 2075, ____.a)12450b)12462c... Start Learning for Free
1, 8, 28, 99, 412, 2075, ____.
  • a)
    12450 
  • b)
    12462
  • c)
    10387
  • d)
    10375
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
1, 8, 28, 99, 412, 2075, ____.a)12450b)12462c)10387d)10375Correct answ...
The 1st to 5th terms are 0, 5, 22, 57, 116.
These terms are 1 – 1, 8 – 3, 27 – 5, 64 – 7, 125 – 9.
i.e. 13 – 1, 23 – 3, 33 – 5, 43 – 7, 53 – 9
So, the nth term of the series: n3 – (2n – 1).
So, the 6th term of the series is 63 – (2 × 6 –1) = 216 – 11 = 205.
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1, 8, 28, 99, 412, 2075, ____.a)12450b)12462c)10387d)10375Correct answ...
8 = (1+7)*1;
28 = (8+6)*2;
99 = (28+5)*3;
412 = (99+4)*4;
(412+3)*5=2075
(2075+2)*6=12462
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Directions for Questions: Answer the questions on the basis of the information given below.From ISBT, buses ply on 6 different routes viz. 414, 413, 427, 966, 893 and 181 at an interval of 10 min, 10 min, 12 min, 15 min, 20 min and 30 min, not necessarily in that order, to four different destinations viz. Mehrauli, Badarpur, Uttam Nagar and Azadpur. There is at least one bus for each destination. Further information is also known:i. Two buses to the same destination cannot start at the same time.ii. If the timings of two buses plying different routes but heading towards the same destination clash, then the bus of the route number having the shorter time interval will skip this journey.iii. Buses on two different routes ply between ISBT and Mehrauli.iv. The difference between the time intervals of a route to Mehrauli and Uttam Nagar is equal to the difference between the time intervals of the two routes to Uttam Nagar.v. Buses on a route to Mehrauli leaves after every 10 min.vi. 414 leaves for Badarpur after every 30 min.vii. Time intervals between two different routes heading towards the same destination cannot be equal.viii. Buses on one of the routes to Uttam Nagar leave after every 15 min.ix. Buses to any destination can leave from ISBT with an interval of at least one minute or an integral multiple of one minute.(2015)Q.Which of the following statements is necessarily TRUE?

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1, 8, 28, 99, 412, 2075, ____.a)12450b)12462c)10387d)10375Correct answer is option 'B'. Can you explain this answer?
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