Mathematics [NTSE Stage-1 (State-Level) Scholastic-Aptitude & Language Comprehension]: Questions 13 - 16 of 223
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Question 13
Question MCQ▾
The equation (1 + m2) x2 + 2 mcx + c2 - a2 = 0 has equal roots, if
Choices
Choice (4) | Response | |
---|---|---|
a. | c2 = a2 (1 - m2 ) | |
b. | a2 = c2 (1 + m2 ) | |
c. | a2 = c2 0-m2 ) | |
d. | c2 = a2 (1 + m2 ) |
Question 14
Question MCQ▾
There is a small Island between the banks 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 m | |
b. | 50 ( -1) m | |
c. | 50 ( + 1) m | |
d. | Question does not provide sufficient data or is vague |
Question 15
Question MCQ▾
A lends a sum of money for 10 year at 5% simple interest, B lends double that amount for 5 year at the same rate of interest. Which of the following statement is true in this regard?
Choices
Choice (4) | Response | |
---|---|---|
a. | B will get four times the amount of interest that A would get | |
b. | A and B will get the same amount as an interest | |
c. | A will get twice the amount of interest that B would get | |
d. | B will get twice the amount of interest that A would get |
Question 16
Question MCQ▾
A train running at the speed of 54 km/h takes 12 s to pass a certain point. Then, the length of the train is
Choices
Choice (4) | Response | |
---|---|---|
a. | 180 m | |
b. | 190 m | |
c. | 170 m | |
d. | 160 m |