Question # 1

(0.90)^1/2is equal to

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0.99

0.90

0.80

0.88

The coefficient of xn in the expansion of (1-x)-1 is

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(-1)n2n

1

(-1)n(n+1)

(n+1)

The sum of the cubes of three consecutive natural number is divisible by

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9

6

5

10

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3/8

7/8

1/8

None

The term independent of x is the expansion (x³+1/x)¹²

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295

495

395

722

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28 / 81

28 / 243

81 / 28

243 / 82

If n is any positive integer then 3 + 6 + 9 + ....+ 3n = ______

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If n is any positive integer then n²> n + 3 for

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Number of terms in the expansion of (a+x)ⁿis

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n - 1

n + 1

n + 2

n + 3

For≥ -2 , 1+3+5+......+(2n+5)

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(n+2)²

(n-2)²

2n+1

(n+3)²

The fifteenth term of (3-a)¹⁵ is

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-17a¹²

-945a¹³

-941a¹³

-515a¹²

The sum of first n even number is

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n2

n(n+1)

n+1

n+2

The general term in the expansion of (a+x)n is

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(r-1)th term

(r+1)th term

rth term

none

The proposition S(n) is true∀n∈N,S(k+1) true when ______is true

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S(1)

Both a & c

S(k)

None

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¹⁰C₆

¹⁰C₅

¹⁰C₄

None

n! > 2ⁿ-1 is true when

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n≤ 3

n≤ 6

n≥ 4

n≤ 6

The middle term in the expansion of (a +x)¹²is

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7th

8th

9th

6th

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2 and 9

3 and 2

2/3 and 9

3/2 and 6

The sum of the even coefficients in the expansion (1 + x)ⁿis

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n²

2^n-2

2^n-1

2ⁿ

(2.02)4 s equal to

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16

16.6496

17

18

If n € N , then n(n+3) is always

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Multiple of 3

Multiple of 6

odd

even

If n is odd then the middle terms in the expansion of (a + x)ⁿare

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8

9

10

11

The coefficient of x¹⁰in the expansion (x³+3/x²)¹⁰is

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1700

17023

17027

17010

If the exponent in the binomial expansion is 6, then the middle term is

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2nd term

3rd term

4th term

5th term

(x³-1/2x)⁶is

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15/16 x²

2/13 x²

17/7 x²

16/15 x²

Digit in the unit place of the number 183! + 3¹⁸³

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7

6

3

0

The greatest integer which divides the number 101¹⁰⁰- 1 is

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100

1000

10000

100000

(0.90)^1/2is equal to

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0.99

0.90

0.80

0.88

If the exponent in the binomial expansion is 6, then the middle term is

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2nd

3rd

4th

5th

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ECAT Pre General Science Mathematics Chapter 10 Mathematical Induction Online Test MCQs With Answers

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