Mathematics (NTSE Stage-2 (National-Level) Scholastic-Aptitude & Language Comprehension): Questions 65 - 71 of 112
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Question number: 65
» Mathematics » Direct and Inverse Variation
Question
Two candles have different lengths and thickness. The shorter lasts 11 h and the longer 7 h when both are lit simultaneously. If after 3 h of their being lit together at the same time, both have the same length, then the ratio of their original lengths is
Choices
| Choice (4) | Response | |
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| a. | 10: 13 |
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| b. | 7: 11 |
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| c. | 11: 14 |
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| d. | 5: 8 |
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Question number: 66
» Mathematics » Basic Geometry
Question
In a quadrilateral ABCD, if AB|| CD, ∠D = 2∠B, AD = b and CD = a, then the side AB is of length
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Question number: 67
» Mathematics » Mensuration
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If a cube has surface area S and volume V, then the volume of the cube of surface area 2S is
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| Choice (4) | Response | |
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| a. | 4V |
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Question number: 68
» Mathematics » Mensuration
Question
Find the area of the largest circle that can be drawn inside a rectangle with sides 18 cm and 14 cm.
Choices
| Choice (4) | Response | |
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| a. | 1078 sq cm |
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| b. | 154 sq cm |
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| c. | 49 sq cm |
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| d. | 378 sq cm |
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Question number: 69
» Mathematics » Number Systems
Question
The product of two numbers is 24 times the difference of these two numbers. If the sum of these numbers is 14, the large number is
Choices
| Choice (4) | Response | |
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| a. | 6 |
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| b. | 8 |
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| c. | 10 |
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| d. | 5 |
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Question number: 70
» Mathematics » Statistics
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A card is drawn from a well shuffled pack of cards. The probability of getting a queen of club or a king of heart is
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| d. | All of the above |
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Question number: 71
» Mathematics » Quadratic Equations
Question
For what values of fc, the equation has equal roots?
Choices
| Choice (4) | Response | |
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| a. | 2 and 12 |
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| b. | 6 and 4 |
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| c. | 8 and 2 |
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| d. | 10 and 4 |
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