Mathematics-Basic Geometry (NTSE Stage-1 (State-Level) Scholastic-Aptitude & Language Comprehension): Questions 35 - 38 of 41

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Question number: 35

» Mathematics » Basic Geometry

MCQ▾

Question

If AD, BE and CF are the medians of a ∆ABC, then the current relation between the sum of the squares of sides to the sum of the squares of median is

Choices

Choice (4) Response

a.

4(AB2+BC2+AC2)=3(AD2+BE2+CF2)

b.

2(AB2+BC2+AC2)=3(AD2+BE2+CF2)

c.

3(AB2+BC2+AC2)=4(AD2+BE2+CF2)

d.

Question does not provide sufficient data or is vague

Question number: 36

» Mathematics » Basic Geometry

MCQ▾

Question

AB and CD are two parallel lines. The points B and C are joined such that ABC = 65°. A line CE is drawn making angle of 35° with the line CB, EF is drawn parallel to AB, as show in figure, then CEF is equal to

The angle made by two intersecting lines by using given angles.

The Angle Made by Two Intersecting Lines by Using Given Angles.

Find the angle made by two intersecting lines by using given angles.

Choices

Choice (4) Response

a.

145°

b.

155°

c.

160°

d.

150°

Question number: 37

» Mathematics » Basic Geometry

MCQ▾

Question

In the given figure, PQRS is a square and ∠ABC = 90°. If AQ = BR = SC, then consider the following statements.

A square PQRS given in this figure

A Square PQRS Given in This Figure

Match given options are correct or not

I. QB = RC II. AB = BC

III. ∠BAC = 45° IV. AC = PS

Choices

Choice (4) Response

a.

III, II and IV are correct

b.

I, II and III are correct

c.

I and IV are correct

d.

All a. , b. and c. are correct

Question number: 38

» Mathematics » Basic Geometry

MCQ▾

Question

The volume of the largest right circular cone that can be cut out of a cube whose edge is 9 cm is

Choices

Choice (4) Response

a.

267314cm3

b.

269314cm3

c.

268314cm3

d.

Question does not provide sufficient data or is vague

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