Mathematics Test 97

Result

Mathematics Test 97

Score
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TIME Taken - -

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Weekly Quiz Competition

Question 1
4 / -1

Paragraph for Question 5 and 6

A geometric series has first term 'a' and common ratio 'r'. The second term of the series is 4 and the sum upto infinite terms of the series is 25

The values of 'a' can be -

A
5

B
15

C
20

D
option 1 and option 3 are correct

Solution

ar = 4 a / 1-r = 25

r = 1/5, 4/5 i.a = 20, a = 5.
Question 2
4 / -1

Let ƒ(x) be a cubic polynomial with real coefficients satisfying

|ƒ(–7)| = |ƒ(–6)| = |ƒ(–5)| = |ƒ(–3)| = |ƒ(–2)| = |ƒ(–1)| = 24

Value of ƒ(0) can be -

A
144

B
169

C
-144

D
option 1 and option 3 are correct

Solution

On solve we get

ƒ(x) = 4x³ + 48x² + 164x + 144

or ƒ(x) = –4x³ – 48x² – 164x – 144.
Question 3
4 / -1

Let ƒ(x) be a cubic polynomial with real coefficients satisfying

|ƒ(–7)| = |ƒ(–6)| = |ƒ(–5)| = |ƒ(–3)| = |ƒ(–2)| = |ƒ(–1)| = 24

Value of ƒ'(–2) can be (where ƒ'(x) denotes derivative of ƒ(x) with respect to x) -

A
36

B
20

C
-20

D
option 2 and option 3 are correct

Solution

On solve we get

ƒ(x) = 4x³ + 48x² + 164x + 144

or ƒ(x) = –4x³ – 48x² – 164x – 144.