Mathematics [NTSE Stage-1 (State-Level) Scholastic-Aptitude & Language Comprehension]: Questions 59 - 63 of 223

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Question 59

Question MCQ▾

Consider the following statements

I. If x and y are composite integers, so also is x + y.

II. If x and y are composite integers and x > y, then x - y is also a composite integer.

III. If x and y are composite integers, so also in xy. Of the above, the correct statement (s) is/are

Choices

Choice (4)Response

a.

I and II

b.

All the three

c.

Only III

d.

None of the above

Edit

Question 60

Question MCQ▾

If and , then is equal to

Choices

Choice (4)Response

a.

-1

b.

-2

c.

2

d.

1

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Question 61

Question MCQ▾

Two pipes A and B can separately fill a tank in 12 min and 15 min, respectively. Both the pipes are opened together but 4 min after pipe A is turned off. How much time does pipe B will take to fill the tank?

Choices

Choice (4)Response

a.

8 min

b.

6 min

c.

12 min

d.

11 min

Edit

Question 62

Question MCQ▾

140 L of a liquid contains 90% of acid and the rest water. How much water must be added to make the water 12.5% of the resulting mixture?

Choices

Choice (4)Response

a.

4L

b.

10L

c.

12L

d.

3.5L

Edit

Question 63

Question MCQ▾

With the vertices of a as center three circles are described, each touching the other two circles externally. If the sides of the triangle are 9 cm, 7 cm and 6 cm. Then, the radiuses of the circles are

Choices

Choice (4)Response

a.

3,2, 3

b.

4,5, 6

c.

4,5, 2

d.

None of the above

Edit