Basic Mathematics (KVPY Stream-SA (Class 11) Math): Questions 113 - 117 of 156

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Question number: 113

» Basic Mathematics » Geometry » Advanced Therorems and Properties

MCQ▾

Question

Consider a square PQRS of side 16 and let M, N be the midpoints of PQ, RS respectively. Take a point O on MN and let PO = 7, OR = 11. Then the area of the triangle whose sides are 7, 11, 16 is –

Choices

Choice (4) Response

a.

64

b.

36

c.

77

d.

44

Question number: 114

» Basic Mathematics » Algebra » Solving Equations

MCQ▾

Question

Which of the following can be true if and only if x=y=z for x, y and z are positive and real?

Choices

Choice (4) Response

a.

x3+y2z+z2x=3xyz

AND

x3+y2z+yz2=3xyz

b.

(x+y+z)3=27xyz

c.

x3+y3+z3=3xyz

d.

All a. , b. and c. are correct

Question number: 115

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

MCQ▾

Question

Two workers A and B are engaged to do a piece of work. Working alone, A takes 12 hours more to complete the work than if both worked together. On the other hand, working alone, B would need 3 hours more to complete the work than if both worked together. How much time would they take to complete the job working together?

Choices

Choice (4) Response

a.

92hr

b.

9 hr

c.

8 hr

d.

6 hr

Question number: 116

» Basic Mathematics » Arithmetic » Ratio and Proportion

MCQ▾

Question

I carried 500 kg of watermelon in summer by train. In the beginning, the water content was 95%. By the time I reached the destination, the water content had dropped to 92%. The reduction in the weight of the watermelon was-

Choices

Choice (4) Response

a.

312.5

b.

150.5

c.

163

d.

187.5

Question number: 117

» Basic Mathematics » Arithmetic » Simplifying Expressions

MCQ▾

Question

If x is real, the value of x26x+14 will not be less than,

Choices

Choice (4) Response

a.

5

b.

8

c.

7

d.

6

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