ARITHMETIC PROGRESSIONS Test

ARITHMETIC PROGRESSIONS

This is ARITHMETIC PROGRESSIONS Test-05 for CBSE class 10 Maths.. There are 15 questions in this test with each question having around four answer choices.

Questions & Answers

1
The first term of an AP is 5, the last term is 45 and the sum is 400. The number of terms is
  • A
    20
  • B
    17
  • C
    18
  • D
    16
    Correct
2
The sum of (a + b), (a – b), (a – 3b), …….. to 22nd term is
  • A
    22a + 440b
  • B
    22a – 400b
  • C
    none of these
  • D
    22a – 440b
    Correct
3
The sum of odd numbers between 0 and 50 is
  • A
    2500
  • B
    625
    Correct
  • C
    500
  • D
    600
4
If 1 + 4 + 7 + ……. + k = 287, then the value of ‘k’ is
  • A
    40
    Correct
  • B
    1
  • C
    3
  • D
    14
5
200 logs are stacked in a such a way that 20 logs in the bottom row, 19 logs in the next row, 18 logs in the row next to it and so on. The total number of rows is
  • A
    12
  • B
    10
  • C
    15
  • D
    16
    Correct
6
200 logs are stacked in a such a way that 20 logs in the bottom row, 19 logs in the next row, 18 logs in the row next to it and so on. The number of logs in the top row is
  • A
    6
  • B
    7
  • C
    4
  • D
    5
    Correct
7
A sum of Rs.700 is to be used to award 7 prizes. If each prize is Rs.20 less than its preceding prize, then the value of the first prize is
  • A
    Rs.200
  • B
    Rs.100
  • C
    Rs.180
  • D
    Rs.160
    Correct
8
In an A.P., if \({S_n} = 3{n^2} + 2n\), then the value of ‘d’ is
  • A
    7
  • B
    9
  • C
    8
  • D
    6
    Correct
9
In an A.P., if \({S_n} = 3{n^2} + 2n\), then the value of ‘\({a_n}\)’ is
  • A
    7n – 2
  • B
    8n – 3
  • C
    9n – 4
  • D
    6n – 1
    Correct
10
The famous mathematician associated with finding the sum of the first 100 natural numbers is
  • A
    Ramanujan
  • B
    Gauss
    Correct
  • C
    Euclid
  • D
    Pythagoras
11
If \(\frac{{3 + 5 + 7 + .............n{\text{ }}terms}}{{5 + 8 + 11 + .........10{\text{ }}terms}} = 7\), then the value of ‘n’ is
  • A
    37
  • B
    33
  • C
    35
    Correct
  • D
    none of these
12
How many terms of the A.P. 25, 22, 19, 16, ……must be added to get the sum 116?
  • A
    8
    Correct
  • B
    9
  • C
    25
  • D
    7
13
From your pocket money, you save Re.1 on the first day, Rs.2 on the second day, Rs.3 on the third day and so on. The amount of money saved by you in the month of May 2013 is
  • A
    Rs.1000
  • B
    Rs.500
  • C
    Rs.496
    Correct
  • D
    Rs.498
14
The sum of all the three digit numbers which leaves the remainder 3, when divided by 5 is
  • A
    99090
    Correct
  • B
    99900
  • C
    90990
  • D
    90099
15
If the angles of a triangle are in AP, then one of its angles is
  • A
    \({60^ \circ }.\)
    Correct
  • B
    \({40^ \circ }.\)
  • C
    \({50^ \circ }.\)
  • D
    \({45^ \circ }.\)