# Mathematics (NTSE Stage-2 (National-Level) Scholastic-Aptitude & Language Comprehension): Questions 11 - 14 of 119

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## Question number: 11

» 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

## Question number: 12

» Mathematics » Linear Equation

MCQ▾

### Question

There are several human beings and several dogs in a room. One tenth of the humans have lost a leg. The total numbers of feet are 77. Then the number of dogs is

### Choices

Choice (4) Response

a.

Not determinable due to insufficient data

b.

4

c.

5

d.

6

## Question number: 13

» Mathematics » Mensuration

MCQ▾

### Question

A solid metal sphere of surface area S 1 is melted and recast into a number of smaller spheres. S 2 is the sum of the surface areas of all the smaller spheres. Then

### Choices

Choice (4) Response

a.

S 1 = S 2 only if all the smaller spheres of equal radii

b.

S 2 > S 1

c.

S 1 > S 2

d.

S 1 S 2

## Question number: 14

» Mathematics » Rational Numbers

MCQ▾

### Question

Which of the following is an irrational number?

### Choices

Choice (4) Response

a.

23.10100100010000 …. .

b.

41616

c.

d.

23.232323