ECAT Pre Engineering MCQ Test With Answer for Chapter 8 Mathematics

MCQ's Test For ECAT Mathematics Chapter 8 Sequences and Series

Try The MCQ's Test For ECAT Mathematics Chapter 8 Sequences and Series

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ECAT Mathematics Chapter 8 Sequences and Series

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Question # 1

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Question # 2

The number of divisors of 1029, 1547 and 122 are in

Question # 3

The fifth term of an A.P. Whose first term is 5 and common difference is 3,is

Question # 4

If the pth, qth, and rth terms of an A.P. are in G.P:., then the common ratio of the G.P. is

Question # 5

The consecutive terms of a progressions are 30, 24, 20. The next term of the progression is

Question # 6

The sum of all 2 digit number is

Question # 7

Let Sndenote the sum of the first n terms of an A.P. If S2n= 3 Sn: Snis equal to

Question # 8

If G is a G.M between a and b then a,G,b are in

Question # 9

If three unequal numbers p, q, r are in H.P. and their squares are in A.P., then the ration p : q : r is

Question # 10

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Question # 11

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Question # 12

G is geometric mean between a and b if a, G, b is

Question # 13

If x, y, z are the pth, qth, rth terms of an A.P. and also of G.P., then xy-z. yz-x. zx-yeqals

Question # 14

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Question # 15

H.M. between 3 and 7 is

Question # 16

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Question # 17

In an A.P,a +(n-a)d is

Question # 18

If a, b, c are in A.P., then 3a, 3b, 3care in

Question # 19

The sides of a right angled triangle are in A.P The ratio of sides is

Question # 20

If 6th term of a series in A.P, is -2 and 8th term is -8, the first term of the serie is

Question # 21

The sum of n terms of a series is denoted by

Question # 22

If a,b,c are in arithmetic progression, then 1/a,1/b.1/c are in

Question # 23

Write the first four terms of the arithmetic sequence 5, 2, -1, ... is

Question # 24

The 6th term of the sequence 7,9,12,16......is

Question # 25

an -an-1,∀n∈N∧n>1 in an A.P is called

Question # 26

If a1= 3, r = 2, then the nth term of the G.P. is

Question # 27

An A.P., a G.P. and a H.P. have the same first and last terms and the same odd numbers of terms, the middle terms of the three series are in

Question # 28

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Question # 29

If P, Q, R be the A.M., G.M., H.M. respectively between any two rational numbers a and b, then P - Q is

Question # 30

A number H is said to be the H.M. between a and b if a, H, b are in

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Sr.# Question Answer
1
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2 In an A.P,a +(n-a)d is
A. 1st term
B. General term
C. Last term
D. None of these
3 The fifth term of an A.P. Whose first term is 5 and common difference is 3,is
A. 20
B. 17
C. 25
D. 30
4
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5 The difference of two consecutive terms of an A.P is called the
A. Common difference
B. Common ratio
C. Geometric series
D. Geometric mean
6 pth term of an H.P. is qr and qth term is pr then the rth term of the H.P. is
A. pqr
B. 1
C. pq
D. pqr2
7 5th term of a G.P. is 2, then the product of first 9 terms is
A. 256
B. 128
C. 512
D. None of these
8
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9 An infinite sequence has no
A. nth term
B. Last term
C. Sum
D. None of these
10 The common ration of a geometric sequence cannot be
A. 0
B. 1
C. 2
D. 3
11 The next term of the sequence 1, 2, 4, 7, 11, ..... is.
A. 15
B. 16
C. 17
D. 18
12 -2, 1, 4, 7,.... is ______
A. Harmonic sequence
B. Arithmetic sequence
C. Geometric sequence
D. Arithmetic series
13 Which term of the A.P 5,8,11,24.............is 320
A. 104th
B. 106th
C. 105th
D. 64th
14 If P, Q, R be the A.M., G.M., H.M. respectively between any two rational numbers a and b, then P - Q is
15 Write the first four terms of the sequence if an= (-1)nn2
A. -1, 4, -9, 16
B. 1, -4, 9, 16
C. 1, 4, 9, 16
D. None of these
16 If ax= by= czand a, b, c are in G.P. then x, y, z are in
A. A.P.
B. G.P.
C. H.P.
D. None of these
17 A sequence whose reciprocal is an A.P is called
A. Oscillator
B. H.P
C. G.P
D. None of these
18 If a, b, c are in A.P., then 3a, 3b, 3care in
A. A.P.
B. G.P.
C. H.P.
D. None of these
19 The sum of infinite numbers of terms of an arithmetic series is
A. Finite
B. Infinite
C. May or may not finite
D. None of these
20 If x,y are two -ve distinct numbers then
A. A>G>H
B. A<G<H
C. A=G=H
D. None of these
21 The third term of a G.P. is the square of first term. If the second term is 8, then the 6th term is
A. 120
B. 124
C. 128
D. 132
22 Arithmetic mean between x - 3 and x + 5 is
A. x + 1
B. x + 2
C. x + 3
D. x + 4
23 If x,y are two positive distinct numbers then
A. A>G>H
B. A<G<H
C. A=G=H
D. None of these
24 The sum of all 2 digit number is
A. 4750
B. 3776
C. 4895
D. 4905
25
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A. A.P.
B. G.P.
C. H.P.
D. None of these
26 If G is a G.M between a and b then a,G,b are in
A. A.P
B. H.P
C. G.P
D. None of these
27 If x, y, z are the pth, qth, rth terms of an A.P. and also of G.P., then xy-z. yz-x. zx-yeqals
A. xyz
B. 0
C. 1
D. None of these
28 The sixth term of the sequence 1,3,12,60....is
A. 1500
B. 72
C. 2160
D. 2520
29 The sum of an indicated number of terms in a sequence is called
A. sequence
B. progression
C. Series
D. Mean
30 an -an-1,∀n∈N∧n>1 in an A.P is called
A. Common difference
B. nth term
C. Common ratio
D. None of these

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