# Mathematics (NTSE Stage-2 (National-Level) Scholastic-Aptitude & Language Comprehension): Questions 108 - 111 of 112

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## Question number: 108

» Mathematics » Quadratic Equations

MCQ▾

### Question

The remainder when is divided by is

### Choices

Choice (4) Response

a.

4

b.

1

c.

2

d.

3

## Question number: 109

» Mathematics » Trigonometry

MCQ▾

### Question

∆ ABC is an equilateral triangle of side cms. P is any point in the interior of . If x, y, z are the distances of P from the sides of the triangle, then

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 110

» Mathematics » Basic Geometry

MCQ▾

### Question

In the given figure, are congruent triangles. , then find the value of .

### Choices

Choice (4) Response

a.

b.

c.

d.

None of the above

## Question number: 111

» 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.

b.

c.

d.

f Page