Basic Mathematics (KVPY Stream-SA (Class 11) Math): Questions 125 - 130 of 156

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Question number: 125

» 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

Question number: 126

» Basic Mathematics » Geometry » Triangle and Properties

MCQ▾

Question

The number of values of a for which there is an isosceles triangle with sides of length a+7 , 2a1 and 5a is –

Choices

Choice (4) Response
a.

1

b.

0

c.

2

d.

3

Question number: 127

» Basic Mathematics » Algebra » Solutions to Equations

MCQ▾

Question

If a, b, c, d are positive real numbers such that, a2=a+b4=a+b+c6=a+b+c+d8 , then ba+3c+5d is –

Choices

Choice (4) Response
a.

9

b.

52

c.

25

d.

19

Question number: 128

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

MCQ▾

Question

A ladder 12 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 3 cm/sec. How fast is its height on the wall decreasing when the foot of the ladder is 5 cm away from the wall?

Choices

Choice (4) Response
a.

1517cms

b.

15119cms

c.

1517cms

d.

15119cms

Question number: 129

» Basic Mathematics » Geometry » Polygons With More Than 4 Sides

MCQ▾

Question

25 sphere of same size are made from melting a solid cylinder of 20 cm diameter and 9 cm height. The diameter of each sphere is:

Choices

Choice (4) Response
a.

3cm

b.

4cm

c.

2cm

d.

1cm

Question number: 130

» Basic Mathematics » Arithmetic » Ratio and Proportion

MCQ▾

Question

A bag contains 50 p, 25 p and 10 p coins in the ratio N50:N25:N10=4:9:5 , amounting to Rs. 95. Find the numbers of coins of each type,

Choices

Choice (4) Response
a.

N50=85,N25=150,N10=150

b.

N50=95,N25=120,N10=230

c.

N50=90,N25=140,N10=120

d.

N50=80,N25=180,N10=100

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