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 |
Question 60
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 |
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 |
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 |