Mathematics (NTSE Stage-1 (State-Level) Scholastic-Aptitude & Language Comprehension): Questions 167 - 172 of 218

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Question number: 167

» Mathematics » Trigonometry

MCQ▾

Question

The angles of elevations of the top of the tower from two points in the same straight line and at a distance of 9 m and 16 m from the base of the tower are complementary. The height of the tower is

Choices

Choice (4) Response

a.

18 m

b.

10m

c.

16m

d.

12m

Question number: 168

» Mathematics » Simple Interest and Compound Interest

MCQ▾

Question

The compound interest on a certain sum for two years is Rs. 618 whereas the simple interest on the same sum at the same rate for two years is Rs. 600. The ratio of interest per annum is

Choices

Choice (4) Response

a.

18%

b.

9%

c.

3%

d.

6%

Question number: 169

» Mathematics » Mensuration

MCQ▾

Question

If P (4, k) be any point on the line y=6x and the vertical segment PQ is rotated about y-axis, then the volume of the resulting cylinder is

Choices

Choice (4) Response

a.

32 π

b.

16 π

c.

8 π

d.

32/3 π

Question number: 170

» Mathematics » Exponents

MCQ▾

Question

If log1227=a , then log616 is equal to

Choices

Choice (4) Response

a.

3a4(3+a)

b.

3+a4(3a)

c.

4(3+a)3a

d.

4(3a)3+a

Question number: 171

» Mathematics » Basic Geometry

MCQ▾

Question

E and F are respectively the mid-points of the sides AB and AC of ∆ABC and the area of the quadrilateral BEFC is k times the area of ∆ ABC. The value of k is

Choices

Choice (4) Response

a.

4

b.

3

c.

34

d.

12

Question number: 172

» Mathematics » Linear Equation

MCQ▾

Question

If 4x+9y=42and6x+4y=36 are the linear equations in x and y, then the value of x and y are respectively.

Choices

Choice (4) Response

a.

4, 3

b.

5, 3

c.

3, 4

d.

3, 7

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