Basic Mathematics (KVPY Stream-SA (Class 11) Math): Questions 47 - 52 of 164

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Question number: 47

» Basic Mathematics » Geometry » Advanced Therorems and Properties

Appeared in Year: 2013

MCQ▾

Question

Suppose the height of a pyramid with a square base is decreased by p % and the lengths of the sides of its square base are increased by p% (where p > 0). If the volume remains the same, then.

Choices

Choice (4) Response

a.

60 < p < 65

b.

50 < p < 55

c.

65 < p < 70

d.

55 < p < 60

Question number: 48

» Basic Mathematics » Geometry » Advanced Therorems and Properties

Appeared in Year: 2010

MCQ▾

Question

The three different face diagonals of a cuboid (rectangular parallelepiped) have lengths 39, 40, 41. The length of the main diagonal of the cuboid which joins a pair of opposite corners is

Choices

Choice (4) Response

a.

60

b.

492

c.

602

d.

49

Question number: 49

» Basic Mathematics » Algebra » Solving Equations

Appeared in Year: 2010

MCQ▾

Question

A student notices that the roots of the equation x2+bx+a=0 are each 1 less than the roots of the equation x2+ax+b=0. Then a + b is,

Choices

Choice (4) Response

a.

– 2

b.

– 5

c.

Possibly any real number

d.

– 4

Question number: 50

» Basic Mathematics » Arithmetic » Number Games

MCQ▾

Question

How many distinct primes is dividing 21! + 22! + 23! ?

Choices

Choice (4) Response

a.

12

b.

9

c.

5

d.

7

Question number: 51

» Basic Mathematics » Geometry » Advanced Therorems and Properties

MCQ▾

Question

Let ABCD be a trapezium with AD parallel to BC. Assume there is a point M in the interior of the segment BC such that AB = AM and DC = DM. Then the ratio of the area of the trapezium to the area of triangle AMD is –

Choices

Choice (4) Response

a.

3

b.

4

c.

2

d.

None of the above

Question number: 52

» Basic Mathematics » Arithmetic » Absolute Value

MCQ▾

Question

The least positive integer n from which n+13n3<112 is,

Choices

Choice (4) Response

a.

7

b.

8

c.

9

d.

6

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