Mathematics (NTSE Stage-1 (State-Level) Scholastic-Aptitude & Language Comprehension): Questions 8 - 12 of 218
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Question number: 8
» Mathematics » Algebraic Expressions
Question
What can be said about the expansion of 2 ^{12n} - 6 ^{4n}, where n is a positive integer?
Choices
Choice (4) | Response | |
---|---|---|
a. | Last digit is 8 | |
b. | Last digit is 2 | |
c. | Last digit is 4 | |
d. | Last two digits are zero |
Question number: 9
» Mathematics » Trigonometry
Question
If ABCD is a quadrilateral whose diagonals AC and BD intersects at O, then which of the given option is correct?
Choices
Choice (4) | Response | |
---|---|---|
a. | (AB + BC + CD + DA) = 2 (AC + BD) | |
b. | (AB + BC + CD + DA) < (AC + BD) | |
c. | (AB + BC + CD + DA) > (AC + BD) | |
d. | (AB + BC + CD + DA) < 2 (AC + BD) |
Question number: 10
» Mathematics » Arithmetic
Question
Two planes start from a city and fly in opposite directions, one averaging a speed of 40 km/h greater than the others. If they are 3400 km apart after 5 h, the average speeds, respectively are
Choices
Choice (4) | Response | |
---|---|---|
a. | 300, 340 km/h | |
b. | 250, 290 km/h | |
c. | 330, 370 km/h | |
d. | 320, 360 km/h |
Question number: 11
» Mathematics » Trigonometry
Question
CD is a direct common tangent to two circles intersecting each other at A and B. Then, ⦟CAD + ⦟CBD is equal to
Choices
Choice (4) | Response | |
---|---|---|
a. | 180° | |
b. | 120 ^{0} | |
c. | 90° | |
d. | 360° |
Question number: 12
» Mathematics » Basic Geometry
Question
If the length of a rectangle is increased by 10 % and the area is unchanged, then by how much percent does the breadth decrease?
Choices
Choice (4) | Response | |
---|---|---|
a. | 10 % | |
b. | 9 % | |
c. | 100/9 % | |
d. | 100/11 % |