KVPY Stream-SA (Class 11) Math: Questions 182 - 185 of 251

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Question number: 182

» Basic Mathematics » Arithmetic » Rates

MCQ▾

Question

Mahesh and Joseph are working on an assignment. Mahesh takes 8 hours to type 28 pages on a computer, while Joseph takes 4 hours to type 32 pages. How much time will they take, working together on two different computers to type an assignment 69 pages?

Choices

Choice (4) Response

a.

9 hr

b.

9 hr 25 min

c.

8 hr 30 min

d.

10 hr 15 min

Question number: 183

» 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=3:8:4 , amounting to Rs. 117. Find the numbers of coins of each type,

Choices

Choice (4) Response

a.

N50=85,N25=250,N10=150

b.

N50=95,N25=300,N10=100

c.

N50=90,N25=240,N10=120

d.

N50=80,N25=220,N10=230

Question number: 184

» 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: 185

» 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

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