ARITHMETIC PROGRESSIONS Test

ARITHMETIC PROGRESSIONS

This is ARITHMETIC PROGRESSIONS Test-01 for CBSE class 10 Maths.. There are 15 questions in this test with each question having around four answer choices.

Questions & Answers

1
Progressions with equal common difference are known as
  • A
    Harmonic Progression
  • B
    Arithmetic Progression
    Correct
  • C
    none of these
  • D
    Geometric Progression
2
The value of ‘k’ for which the numbers x, 2x + k, 3x + 6 are in A.P. is
  • A
    4
  • B
    6
  • C
    5
  • D
    3
    Correct
3
The next term of the A.P. \(\sqrt {18} ,{\text{ }}\sqrt {32} {\text{ }}and{\text{ }}\sqrt {50} \) is
  • A
    \(\sqrt {64} \)
  • B
    \(\sqrt {72} \)
    Correct
  • C
    \(\sqrt {80} \)
  • D
    \(\sqrt {84} \)
4
If a, b and c are in A.P., then the relation between them is given by
  • A
    2a = b + c
  • B
    a = b + c
  • C
    2c = a + b
  • D
    2b = a + c
    Correct
5
If the angles of a right angled triangle are in A.P. then the angles of that triangle will be
  • A
    \(45^\circ ,{\text{ 45}}^\circ ,{\text{ }}90^\circ \)
  • B
    \(40^\circ ,{\text{ 5}}0^\circ ,{\text{ }}90^\circ \)
  • C
    \(30^\circ ,{\text{ }}60^\circ ,{\text{ }}90^\circ \)
    Correct
  • D
    none of these
6
If a, b and c are in A. P., then the value of \(\frac{{a - b}}{{b - c}}\) is
  • A
    \(\frac{b}{c}\)
  • B
    \(\frac{a}{b}\)
  • C
    1
    Correct
  • D
    \(\frac{c}{a}\)
7
The list of numbers – 10, – 6, – 2, 2, ……….. is
  • A
    an AP with d = 8
  • B
    an AP with d = – 4
  • C
    not an AP
  • D
    an AP with d = 4
    Correct
8
If a, b and c are in A.P, then b =
  • A
    \(\frac{{a - c}}{2}\)
  • B
    \(\frac{{c - a}}{2}\)
  • C
    none of these
  • D
    \(\frac{{a + c}}{2}\)
    Correct
9
The common difference of the A.P. can be
  • A
    only positive
  • B
    only zero
  • C
    only negative
  • D
    positive, negative or zero
    Correct
10
The first four terms of the sequence \({a_n} = {\text{ }}2n{\text{ }} + {\text{ }}3\) are
  • A
    3, 5, 7, 9
  • B
    5, 7, 9, 11
    Correct
  • C
    1, 3, 5, 7
  • D
    5, 8, 11, 14
11
The next two terms of the AP : k, 2k + 1, 3k + 2, 4k + 3, ………… are
  • A
    5k + 4 and 6k + 5
    Correct
  • B
    none of these
  • C
    4k + 4 and 4k + 5
  • D
    5k and 6k
12
Which of the following is not an A.P.?
  • A
    a, 2a, 3a, 4a, …….
  • B
    2, 4, 8, 16, ………..
    Correct
  • C
    – 1.2, – 3.2, – 5.2, – 7.2, …….
  • D
    2, 5/2, 3, 7/2, ………..
13
Which of the following is an A.P.?
  • A
    \(1,{\text{ }}3,{\text{ }}9,{\text{ }}27,{\text{ }} \ldots \ldots \ldots \ldots \)
  • B
    \(\sqrt 3 ,\sqrt 6 ,\sqrt 9 ,\sqrt {12} ,............\)
  • C
    \({1^2},{\text{ }}{3^2},{\text{ }}{5^2},{\text{ }}{7^2},{\text{ }} \ldots \ldots \ldots \ldots .\)
  • D
    \(\begin{array}{*{20}{l}} {{1^2},{\text{ }}{5^2},{\text{ }}{7^2},{\text{ }}73,{\text{ }} \ldots \ldots \ldots .} \end{array}\)
    Correct
14
If a, 7, b, 23, c are in A.P. then the value of ‘c’ is
  • A
    8
  • B
    0
  • C
    31
    Correct
  • D
    – 1
15
The common difference of the A.P whose \({a_n} = - 3n + 7\) is
  • A
    3
  • B
    – 3
    Correct
  • C
    1
  • D
    2