Loading [MathJax]/jax/output/CommonHTML/jax.js

CBSE Questions for Class 10 Maths Arithmetic Progressions Quiz 8 - MCQExams.com

Find the sum of all natural numbers not exceeding 1000, which are divisible by 4 but not by 8.
  • 62500
  • 62800
  • 64000
  • 65600
30 trees are planted in a straight line at intervals of 5 m. To water them, the gardener needs to bring water for each tree, separately from a well, which is 10 m from the first tree in line with the trees. How far will he have to walk in order to water all the trees beginning with the first tree? Assume that he starts from the first well, and he can carry enough water to water only one tree at a time. 
  • 4785 m
  • 4795 m
  • 4800 m
  • None of these
  • Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
  • Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
  • Assertion is correct but Reason is incorrect
  • Assertion is incorrect but Reason is correct
Identify the progression:
A:4,7,10,13,16,19,22,25,.....
B:4,7,9,10,13,14,.........
  • Only A
  • Only B
  • Both A and B
  • None of these
If sum of n terms of an A.P. is 3n2+5n and Tm=164, what is the value of m?
  • 26
  • 27
  • 28
  • 25
Check if the series is an AP. Find the common difference d. Also, find the next three terms.

10,6,2,2.....
  • It is an AP and d=4, other terms 6,10,14
  • It is an AP and d=35, other terms 5,10,15
  • It is not an AP, other terms 3,4,5
  • None of these
If the nth term of an A.P. be (2n1), then the sum of its first n terms will be
  • n21
  • (n1)2+(2n1)
  • (n1)2(2n1)
  • n2
Let Sn denote the sum of the first n terms of an A.P. S2n=3Sn. Then, the ratio S3nSn is equal to :
  • 4
  • 6
  • 8
  • 10
If 3+5+7+......+n(terms)5+8+11+.....+10(terms)=7, then the value of n is 
  • 35
  • 36
  • 37
  • 40
The sum up to 9 terms of the series 12+13+16+... is
  • 56
  • 12
  • 1
  • 32
If S=n2[2a+(n1)d] ; find d , when a=8,S=380 and n=10.
  • 716
  • 452
  • 216
  • 623
A sprinter runs 6 meters in the first second of a certain race and increase her speed by 25 cm/sec. in each succeeding second. (This means that she goes 6m 25 cm. the second second, 6m 50 cm. the third second, and so on.) How far does she go during the eight second?
  • 8.75 m
  • 7.75 m
  • 8.25 m
  • 9.25 m
The pth and qth terms an A.P are respectively a and b. Then sum of (p+q) terms is
  • p+q2(a+b+abpq)
  • p+q2(aba+bp+q)
  • (p+q)(a+b+pqab)
  • p+q2(a+b+pqab)
STATEMENT - 1 : The sum of first 11 terms of the A.P: 2,6,10,14, is 242.
STATEMENT - 2 : The sum of first n terms of the A.P. is given by Sn=n2[2a+(n1)d]
  • Statement - 1 is True, Statement - 2 is True, Statement - 2 is a correct explanation for Statement - 1
  • Statement - 1 is True, Statement - 2 is True : Statement 2 is NOT a correct explanation for Statement - 1
  • Statement - 1 is True, Statement - 2 is False
  • Statement - 1 is False, Statement - 2 is True
There is an auditorium with 35 rows of seats. There are 20 seats in the first row, 22 seats in the second row, 24 seats in the third row, and so on. Find the number of seats in the twenty fifth row.
  • 72
  • 68
  • 54
  • 89
Which term of the A.P. 5, 12, 19, 26, ............ is 145
  • 12
  • 18
  • 25
  • 21
S=n2[2a+(n1)d]; make d the subject of formula.
  • d=(2Sa)n(n1)
  • d=(2Sna)n(n+1)
  • d=2(Sna)n(n1)
  • d=2(Sa)n(n+1)
Find the sum of first 11 positive numbers which are multiples of 6.
  • 314
  • 396
  • 452
  • 245
A man arranges to pay off a debt of Rs. 3600 in 40 annual instalments which form an arithmetic series. When 30 of the instalments are paid he dies leaving one-third of the debt unpaid. Find the value of the first instalment. 
  • Rs. 49
  • Rs. 51
  • Rs. 53
  • Rs. 55
Find the sum of A.P. whose first and last term is 13 and 216 respectively & common difference is 7.  
  • 3434
  • 3435
  • 1545
  • 3456
If t11 and t16 for an A.P. are respectively 38 and 73, then t31 is ........
  • 178
  • 177
  • 176
  • 175
In the A.P. 7, 14, 21, ... How many terms are to be considered for getting sum 5740.
  • 40
  • 50
  • 14
  • 51
The nth term of the sequence   1p, 1+2pp1+4pp,... is
  • 1+2np+2pp
  • 12np2pp
  • 1+2np2pp
  • 1+2npp
Find the nth term of the sequence m1,m3,m5,.....
  • mn+1
  • m+2n+1
  • m2n+1
  • m2n
(p+q)th and (pq)th terms of an A.P. are respectively m and n. The pth term is
  • 12(m+n)
  • mn
  • m+n
  • mn
Sum of first 5 terms of an A.P. is one fourth of the sum of next five terms. If the first term is 2, then the common difference of the A.P. is
  • 6
  • 6
  • 3
  • None of these
In an A.P. S3 =6, S6 =3, then it's common difference is equal to ?
  • 3
  • 1
  • 1
  • None of these
The sum of all 2-digit odd number is
  • 2475
  • 2530
  • 4905
  • 5049
The first term of an A.P. of consecutive integers is p2 +The sum 2p+1 terms of this series can be expressed as
  • (p+1)2
  • (2p+1)(p2+p+1)
  • (p+1)3
  • p3+(p+1)3
The sum of first 24 terms of the sequence whose nth term is given by an=3+2n3, is
  • 278
  • 272
  • 270
  • 268
0:0:2


Answered Not Answered Not Visited Correct : 0 Incorrect : 0

Practice Class 10 Maths Quiz Questions and Answers