KVPY Stream-SA (Class 11) Math: Questions 153 - 157 of 265

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Question number: 153

» Basic Mathematics » Algebra » Solving Equations

MCQ▾

Question

Let a, b, c, d be real numbers such that a2+b2=144 , c2+d2=169 and ac+bd=156 . Then the set of all possible values of adbc is –

Choices

Choice (4) Response

a.

[0,317]

b.

{0}

c.

[715,)

d.

(0,912]

Question number: 154

» Sequence and Series » Arithmetic Series

MCQ▾

Question

If a1, a1, a1, …, an be an A. P. of non-zero terms, than;

1a1a2+1a2a3+1a3a4++1an1an=?

Choices

Choice (4) Response

a.

na1an

b.

n1a1an

c.

2nana1

d.

2n1ana1

Question number: 155

» Sequence and Series » Arithmetic Series

MCQ▾

Question

The fifth term of an A. P. is equal to four times the first term and the twice ninth term exceeds three times the fourth term by one. The first term and common difference of A. P. are –

Choices

Choice (4) Response

a.

a=25,d=5

b.

a=3,d=94

c.

a=45,d=35

d.

a=25,d=15

Question number: 156

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

MCQ▾

Question

A triangular corner is cut from a rectangular piece of board and the resulting pentagon has sides 5, 6, 12, 15, 130 in some order. The area of the rectangle is –

Choices

Choice (4) Response

a.

122.5

b.

63.25

c.

130

d.

148.5

Question number: 157

» Basic Mathematics » Geometry » Triangle and Properties

MCQ▾

Question

If sides of the triangle ABC are, a=(1+3)cm and b=2cm , also ∠C = 600, then other two angles are,

Choices

Choice (4) Response

a.

A=500andB=700

b.

A=750andB=450

c.

A=700andB=500

d.

A=650andB=550

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