# Mathematics-Basic Geometry (NTSE Stage-1 (State-Level) Scholastic-Aptitude & Language Comprehension): Questions 24 - 27 of 42

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## Question number: 24

» 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

### Choices

Choice (4) Response

a.

145°

b.

155°

c.

160°

d.

150°

## Question number: 25

» Mathematics » Basic Geometry

MCQ▾

### Question

Let ABCD be a trapezium in which and let E be the mid-point of AD. Let F be a point on BC such that. Then, consider the following statements.

### Choices

Choice (4) Response

a.

F is the mid-point of BC

b.

c.

Both a. and b. are correct

d.

None of the above

## Question number: 26

» Mathematics » Basic Geometry

MCQ▾

### Question

S1and S2 are two circles on a plane with radius 4 cm and 2 cm, respectively and the distance between their centers is 3 cm. Which one of the following statements is true?

### Choices

Choice (4) Response

a.

S1 andS2 touch each other internally

b.

S1and S2intersect in two distinct points

c.

S2lies entirely within the circle S1

d.

S1 and S2 touch each other externally

## Question number: 27

» Mathematics » Basic Geometry

MCQ▾

### Question

AOBC is a rectangle whose three vertices are vertices A (0, 3), O (0, 0) and B (5, 0). The length of its diagonal is

### Choices

Choice (4) Response

a.

4

b.

5

c.

d.

3

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