# Mathematics (NTSE Stage-1 (State-Level) Scholastic-Aptitude & Language Comprehension): Questions 133 - 138 of 224

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## Question number: 133

» Mathematics » Rational Numbers

MCQ▾

### Question

ABC is a triangle and AD is perpendicular to BC. It is given that the length of AB, BC and CA are all rational numbers. Which of the following is correct?

### Choices

Choice (4) Response

a.

AD and BD must be rational

b.

BD must be rational but AD need not be rational

c.

AD must be rational but BD need not be rational

d.

Neither AD nor BD need be rational

## Question number: 134

» Mathematics » Linear Equation

MCQ▾

### Question

The quadratic equation whose roots are is

### Choices

Choice (4) Response

a.

4x2 + 16x – 9 = 0

b.

4x2 - 16x + 9 = 0

c.

4x2 + 16x + 9 = 0

d.

4x2-16x-9 = 0

## Question number: 135

» Mathematics » Percentage

MCQ▾

### Question

A man sells fans at the same price on one he gained 20 % and loses 20 % on the other. His gain or loss is

### Choices

Choice (4) Response

a.

Neither gain nor loss

b.

4 % loss

c.

4 % gain

d.

1 % loss

## Question number: 136

» Mathematics » Statistics

MCQ▾

### Question

The combined mean of three groups is 12 and the combined mean of first two groups is 3. If the first, second and third groups have 2, 3 and 5 items respectively, then mean of third group is

### Choices

Choice (4) Response

a.

10

b.

18

c.

12

d.

21

## Question number: 137

» Mathematics » Percentage

MCQ▾

### Question

The price of an item is increased by 20 % and then decreased by 20 % the final price as compared to original price is

### Choices

Choice (4) Response

a.

4 % more

b.

20 % more

c.

4 % less

d.

20 % less

## Question number: 138

» Mathematics » Algebraic Expressions

MCQ▾

### Question

A field is in the form of circle. The cost of ploughing the field at Rs. 1.50 per m2 is Rs. 5775. The cost of fencing the field at Rs. 8.50 per m is

### Choices

Choice (4) Response

a.

Rs. 2870

b.

Rs. 1870

c.

Rs. 1970

d.

Rs. 2970

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