Mathematics (NTSE Stage-1 (State-Level) Scholastic-Aptitude & Language Comprehension): Questions 212 - 218 of 218

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Question number: 212

» 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.

34

d.

3

Question number: 213

» Mathematics » Probability

MCQ▾

Question

From 1 to 100 numbers, 3 numbers are selected at random, what is the probability that the numbers selected will have an odd sum?

Choices

Choice (4) Response

a.

12

b.

38

c.

14

d.

18

Question number: 214

» Mathematics » Trigonometry

MCQ▾

Question

If cos(α+β)=45 and sin(αβ)=513 , α and β lies between 0 and π4 , then the value of tan 2α is

Choices

Choice (4) Response

a.

4333

b.

3433

c.

5633

d.

5623

Question number: 215

» Mathematics » Percentage

MCQ▾

Question

The difference between a discount of 40 % on Rs. 1000 and two successive discounts of 35 % and 5 % on the same amount is

Choices

Choice (4) Response

a.

Rs. 18.00

b.

Rs. 15.50

c.

Rs. 16.50

d.

Rs. 17.50

Question number: 216

» Mathematics » Arithmetic Progessions

MCQ▾

Question

If x + 1x = 5 , then the value of x3 + 1x3 is

Choices

Choice (4) Response

a.

7 5

b.

5 5

c.

2 5

d.

8 5

Question number: 217

» Mathematics » Algebraic Expressions

MCQ▾

Question

If a+b+c=0 , then what is the value of a2bc+b2ca+c2ab ?

Choices

Choice (4) Response

a.

1

b.

-3

c.

3

d.

0

Question number: 218

» Mathematics » Algebraic Expressions

MCQ▾

Question

Consider the following statements.

I. The product of any three consecutive integers is divisible by 6.

II. Any integer can be expressed in one of the three forms 3k, 3k + l, 3k + 2, where k is an integer.

Which of the above statements is/are correct?

Choices

Choice (4) Response

a.

Only I

b.

Only II

c.

I and II

d.

Neither I nor II

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