Mathematics (NTSE Stage-1 (State-Level) Scholastic-Aptitude & Language Comprehension): Questions 25 - 29 of 218
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Question number: 25
» Mathematics » Percentage
Question
A rise of 25 % in the price of grapes compels a person to buy 1.5 kg of grapes less for Rs. 240. Then, the original price of grapes per kg is
Choices
Choice (4) | Response | |
---|---|---|
a. | Rs. 28 | |
b. | Rs. 32 | |
c. | Rs. 30 | |
d. | Rs. 40 |
Question number: 26
» Mathematics » Statistics
Question
If the mean of five observations x, x + 2, x + 4, x + 6 and x + 8 is 11, then the mean of first three observations is
Choices
Choice (4) | Response | |
---|---|---|
a. | 11 | |
b. | 13 | |
c. | 9 | |
d. | 12 |
Question number: 27
» Mathematics » Basic Geometry
Question
The length and the breadth of a rectangular park are in the ratio of 8: 5. A path, 1.5 m wide running all around the outside of the park has an area of 594 m ^{2}. The dimensions of the park are
Choices
Choice (4) | Response | |
---|---|---|
a. | 120 m, 75 m | |
b. | 110 m, 85 m | |
c. | 100 m, 95 m | |
d. | Question does not provide sufficient data or is vague |
Question number: 28
» Mathematics » Arithmetic Progessions
Question
The equation (1 + m ^{2}) x ^{2} + 2 mcx + c ^{2} - a ^{2} = 0 has equal roots, if
Choices
Choice (4) | Response | |
---|---|---|
a. | a ^{2}=c ^{2 } (1 + m ^{2}) | |
b. | a ^{2}=c ^{2}0-m ^{2}) | |
c. | c ^{2} = a ^{2} (1 + m ^{2}) | |
d. | c ^{2} = a ^{2} (1 - m ^{2}) |
Question number: 29
» Mathematics » Trigonometry
Question
There is a small Island in the middle of a 100 m wide river. There is tall tree on the Island. Points P and Q are directly opposite to each other on the two banks and in line with the tree. If the angles of elevation of the top of the tree at P and Q are 30° and 45°. Then, the height of tree is
Choices
Choice (4) | Response | |
---|---|---|
a. | 50 ( + 1) m | |
b. | 50 ( -1) m | |
c. | 50 m | |
d. | None of the above |