Mathematics (NTSE Stage-1 (State-Level) Scholastic-Aptitude & Language Comprehension): Questions 207 - 211 of 218

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Question number: 207

» Mathematics » Quadratic Equations

MCQ▾

Question

If a and p are the roots of the equation ax2+bx+c=0 , then an equation whose roots are 1α and 1β is

Choices

Choice (4) Response
a.

ax2- bx + c = 0

b.

cx2+ ax + b = 0

c.

bx2 + ax + c = 0

d.

cx2+ bx + a = 0

Question number: 208

» Mathematics » Basic Geometry

MCQ▾

Question

S1and S2 are two circles on a plane with radius 4 cm and 2 cm, respectively and the distance between their centers is 3 cm. Which one of the following statements is true?

Choices

Choice (4) Response
a.

S1 andS2 touch each other internally

b.

S1and S2intersect in two distinct points

c.

S2lies entirely within the circle S1

d.

S1 and S2 touch each other externally

Question number: 209

» Mathematics » Trigonometry

MCQ▾

Question

Two parallel lines AB and CD are intersected by a transversal line EF at M and N, respectively. The lines MP and NP are the bisectors of the interior angles BMN and DNM on the same side of the transversal. Then, ∠MPN is equal to

Choices

Choice (4) Response
a.

90°

b.

135°

c.

45°

d.

60°

Question number: 210

» Mathematics » Percentage

MCQ▾

Question

A man spends 75 % of his income. If his income is increased by 20 % and he increased his expenditure by 10%. His savings percentage is increased by

Choices

Choice (4) Response
a.

10%

b.

25%

c.

75%

d. Both a. and c. are correct

Question number: 211

» Mathematics » Number Systems

MCQ▾

Question

A three-digit number has digits h, t and u (from left to right) with h > u. If the digits are reversed and the number thus formed is subtracted from the original number, the unit’s digit in the resulting number is 4. What are the other two digits of the resulting number from left to right?

Choices

Choice (4) Response
a.

5 and 9

b.

5 and 4

c.

9 and 5

d.

4and 5

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