KVPY Stream-SA (Class 11) Math: Questions 21 - 24 of 265

Get 1 year subscription: Access detailed explanations (illustrated with images and videos) to 265 questions. Access all new questions we will add tracking exam-pattern and syllabus changes. View Sample Explanation or View Features.

Rs. 200.00 or

Question number: 21

» Basic Mathematics » Arithmetic » Ratio and Proportion

Appeared in Year: 2011

MCQ▾

Question

A man wants to reach a certain destination. One-sixth of the total distance is muddy while half the distance is tar road. For the remaining distance he takes a boat. His speed of traveling in mud, in water, on tar road is in the ratio 3: 4: 5. The ratio of the durations he requires to cross the patch of mud, stream and tar road is

Choices

Choice (4) Response

a.

12:45:52

b.

3: 8: 15

c.

10: 15: 18

d.

1: 2: 3

Question number: 22

» Complex Numbers and Quadratic Equations » Quadratic Equations in Real and Complex Number System

MCQ▾

Question

Let p, q, r, s be real numbers such that pq =5, qr =6, rs =7 . Then the sum of all possible values of p+s is,

Choices

Choice (4) Response

a.

16

b.

66

c.

36

d.

96

Question number: 23

» Coordinate Geometry » Conic Sections

Appeared in Year: 2011

MCQ▾

Question

The diameter of one of the bases of a truncated cone is 100 mm. If the diameter of this base is increased by 21 % such that it still remains a truncated cone with the height and the other base unchanged, the volume also increases by 21%. The radius of the other base (in mm) is

Choices

Choice (4) Response

a.

35

b.

65

c.

45

d.

55

Question number: 24

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

Appeared in Year: 2011

MCQ▾

Question

If x+1x=a,x2+1x3=b , then x3+1x2 is,

Choices

Choice (4) Response

a.

a 3 + a 2 + 3 a - 16 - b

b.

a3a23a+4b

c.

a 3 - a 2 + 3 a - 6 - b

d.

a3+a23a2b

Sign In