Mathematics-Basic Geometry (NTSE Stage-2 (National-Level) Scholastic-Aptitude & Language Comprehension): Questions 1 - 4 of 23

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Question number: 1

» Mathematics » Basic Geometry

Appeared in Year: 2013

MCQ▾

Question

An open box A is made from a square piece of tin by cutting equal squares S at the corners and folding up the remaining flaps. Another open box B is made similarly using one of the squares S. If U and V are the volumes of A and B respectively, then which of the following is not possible?

Choices

Choice (4) Response

a.

V > U

b.

U = V

c.

Minimum value of U > maximum value of V.

d.

U > V

Question number: 2

» Mathematics » Basic Geometry

Appeared in Year: 2013

MCQ▾

Question

Which of the following statements holds always?

Choices

Choice (4) Response

a.

Every rectangle is a square

b.

Every parallelogram is a trapezium

c.

Every parallelogram is a rectangle.

d.

Every rhombus is a square

Question number: 3

» Mathematics » Basic Geometry

Appeared in Year: 2013

MCQ▾

Question

ABCD is a square with side a. With centers A, B, C and D four circles are drawn such that each circle touches externally two of the remaining three circles. Let 5 be the area of the region in the interior of the square and exterior of the circles. Then the maximum value of 8 is

Choices

Choice (4) Response

a.

πa24

b.

a2(1π)

c.

a2((4π)4)

d.

a2(π1)

Question number: 4

» Mathematics » Basic Geometry

Appeared in Year: 2013

MCQ▾

Question

A has a pair of triangles with corresponding sides proportional, and B has a pair of pentagons with corresponding sides proportional.

S 1 = A’s triangles must be similar

S 2 = B’s pentagons must be similar

Which of the following statement is correct?

Choices

Choice (4) Response

a.

S 2 is true, but S 1 is not true.

b.

S 1 is true, but S 2 is not true.

c.

S 1 and S 2 are true.

d.

Neither S 1 and nor S 2 is true.

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