KVPY Stream-SA (Class 11) Math: Questions 42 - 47 of 265

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Question number: 42

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

MCQ▾

Question

If x, y are natural numbers such that 2015+y2=x2 , then the minimum possible value of xy is,

Choices

Choice (4) Response

a.

750

b.

671

c.

800

d.

816

Question number: 43

» Basic Mathematics » Arithmetic » Rates

Appeared in Year: 2012

MCQ▾

Question

When a bucket is half full, the weight of the bucket and the water is 10 kg. When the bucket is two - thirds full, the total weight is 11kg. What is the total weight, in kg, when the bucket is completely full.

Choices

Choice (4) Response

a.

1223

b.

13

c.

12

d.

1212

Question number: 44

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

Appeared in Year: 2013

MCQ▾

Question

In an acute-angled triangle ABC, the altitudes from A, B, C when extended intersect the circle again at points A1, B1, C1, respectively. If ∠ABC = 45° then ∠A1B1C1 equals.

Choices

Choice (4) Response

a.

135°

b.

45°

c.

60°

d.

90°

Question number: 45

» Permutations and Combinations » Combination as Selection

Appeared in Year: 2014

MCQ▾

Question

Let x and y be two 2-digit numbers such that y is obtained by reversing the digits of x. Suppose they also satisfy x2y2=m2 for some positive integer m. The value of x+y+m is

Choices

Choice (4) Response

a.

112

b.

144

c.

154

d.

88

Question number: 46

» Complex Numbers and Quadratic Equations » Relation Between Roots and Coefficients

Appeared in Year: 2012

MCQ▾

Question

Let f(x) be a quadratic polynomial with f(2)=10 and f(2)=2 . Then the coefficient of x in f(x) is

Choices

Choice (4) Response

a.

1

b.

4

c.

2

d.

3

Question number: 47

» Complex Numbers and Quadratic Equations » Complex Numbers as Ordered Pairs of Reals

Appeared in Year: 2012

MCQ▾

Question

How many ordered pairs of (m, n) integers satisfy m12=12n ?

Choices

Choice (4) Response

a.

30

b.

10

c.

15

d.

12

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