Mathematics (NTSE Stage-1 (State-Level) Scholastic-Aptitude & Language Comprehension): Questions 113 - 118 of 224

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Question number: 113

» Mathematics » Coordinate Geometry

MCQ▾

Question

Coordinates of P and Q are (4, -3) and (- 1, 7). The abscissa of point R on the line segment PQ such that Equation is

Choices

Choice (4) Response

a.

1

b.

18/5

c.

17/5

d.

17/8

Question number: 114

» 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: 115

» 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: 116

» Mathematics » Mensuration

MCQ▾

Question

If P (4, k) be any point on the line Equation 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: 117

» Mathematics » Exponents

MCQ▾

Question

If Equation , then Equation is equal to

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 118

» 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.

Equation

d.

Equation

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