KVPY Stream-SA (Class 11) Math: Questions 198 - 203 of 251

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Question number: 198

» Basic Mathematics » Arithmetic » Number Games

MCQ▾

Question

If, x0,x=6666 than value of x is –

Choices

Choice (4) Response
a.

2

b.

3

c.

2

d.

3

Question number: 199

» Basic Mathematics » Arithmetic » Number Games

MCQ▾

Question

The least positive integer n from which n+33n+23<121 is –

Choices

Choice (4) Response
a.

15

b.

16

c.

17

d.

18

Question number: 200

» Sequence and Series » Arithmetic Series

MCQ▾

Question

If n is the largest natural number such that n + 2n + 3n + … + 70n is a perfect square, then the value of n is –

Choices

Choice (4) Response
a.

497

b.

490

c.

520

d.

637

Question number: 201

» Basic Mathematics » Arithmetic » Rates, Speeds and Unitary Method

MCQ▾

Question

A ladder 8 cm long is leading against a wall. The bottom of the ladder is pulled along the ground, away from the wall, at the rate of 2 cm/sec. How fast is its height on the wall decreasing when the foot of the ladder is 3 cm away from the wall?

Choices

Choice (4) Response
a.

355cms

b.

655cms

c.

355cms

d.

655cms

Question number: 202

» Complex Numbers and Quadratic Equations » Formation of Quadratic Equations With Given Roots

MCQ▾

Question

If α, β are the roots of ax2+bx+c=0, then that equation whose roots are 1α+β,1α+1β is –

Choices

Choice (4) Response
a.

bcx2+(b2+ac)x+ab=0

b.

acx2+(a2+bc)x+bx=0

c.

abx2+(c2+ab)x+ca=0

d. None of the above

Question number: 203

» Basic Mathematics » Arithmetic » Number Games

MCQ▾

Question

Consider an incomplete pyramid of balls on a square base having 15 layers; and having 10 balls on each side of the top layer. Then the total number N of balls in that pyramid satisfies

Choices

Choice (4) Response
a.

60000 < N < 7000

b.

4000 < N < 5000

c.

5000 < N < 6000

d.

3000 < N < 40000

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