# Mathematics-Basic Geometry (NTSE Stage-2 (National-Level) Scholastic-Aptitude & Language Comprehension): Questions 1 - 4 of 21

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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

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.

## Question number: 4

» Mathematics » Basic Geometry

MCQ▾

### Question

All the arcs in following diagram are semicircles. This diagram shows two paths connecting A to B. Path I is the single large semi-circle and Path II consists of the chain of small semi-circles.

### Choices

Choice (4) Response

a.

Path I is shorter than Path II

b.

Path I is of the same length as Path II, only if the number of semi circles is not more than 4

c.

Path I is of the same length as Path II

d.

Path I is longer than path II

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