Scholastic Aptitude Test - Mathematics - Arithmetic Progresstion

Question - 1

If the following numbers are AP,i.e. if they form an AP, find the common difference d and write three more terms
3,3+\(\sqrt{2}\),3+2\(\sqrt{2}\),3+3\(\sqrt{2}\),...

  • A \(3+4\sqrt{2},3+5\sqrt{2},3+3\sqrt{2}\)
  • B \(3+4\sqrt{2},3+5\sqrt{2},3+6\sqrt{2}\)
  • C \(2+4\sqrt{2},2+5\sqrt{2},2+6\sqrt{2}\)
  • D none of these

Question - 2

Find the (i) nth term and (ii) 16th term of the AP 3, 5, 7, 9,11...

  • A (2n+1),33
  • B (3n+1),23
  • C (2n+1),23
  • D none of these

Question - 3

Find the 105th term of AP 4, \(4\frac{1}{2},5,5\frac{1}{2},6, ....\)

  • A 65
  • B 56
  • C 66
  • D none of these

Question - 4

How many terms are in AP 7,11,15, ........ 139?

  • A 43
  • B 24
  • C 34
  • D none of these

Question - 5

If the 8th term of an AP is 31 and its 15th tenn is 16 more than the 11th term, find the AP

  • A 3,7,11,15,19,...
  • B 3.5.7.11,...
  • C 2. 3. 5. 7...
  • D none of these

Question - 6

If the 8th term of an AP is zero. Prove that its 38th term is triple its 18th term

  • A (3 x a)
  • B 3 x T18
  • C 3 x d
  • D none of these

Question - 7

If m times the mth term of an AP is equal to n times the nth term and m ≠ n, then (m+n)th term is

  • A 1
  • B 2
  • C 0
  • D none of these

Question - 8

If the nth term of a progression has a linear expression in n, this progression is an AP if every terms of the given progression differs from its preceding term by

  • A 1
  • B constant
  • C can't be determined
  • D none of these

Question - 9

Find four numbers in AP whose sum is 20 and the sum of whose squares is 120

  • A (2,4,5,8)
  • B (3,4,5,6)
  • C (2,4,6,8)
  • D none of these

Question - 10

Find the sum of all two digit Positive numbers

  • A 2375
  • B 2475
  • C 2575
  • D none of these
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