Maths - Online Test

Q1. The height and radius of the cone of which the frustum is a part are h1 units and r1 units respectively. Height of the frustum is h2 units and radius of the smaller base is r2  units. If h2  : h1  = 1 : 2 then r2  : r1  is
Answer : Option B
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Q2. If a letter is chosen at random from the English alphabets {a,b,...,z}, then the probability that the letter chosen precedes x
Answer : Option C
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Q3. f (x) = (x + 1)3 − (x − 1)3 represents a function which is
Answer : Option D
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Q4. The value of (13 + 2 3 + 3 3 +  + 15 3 ) − (1 + 2 + 3 +  + 15) is
Answer : Option C
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Q5. If A is a 2 ×3 matrix and B is a 3 ×4 matrix, how many columns does AB have
Answer : Option B
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Q6.
In figure if PR is tangent to the circle at P and O is the centre of the circle, then POQ is

Answer : Option A
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Q7. (2, 1) is the point of intersection of two lines.
Answer : Option B
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Q8. The angle of elevation of a cloud from a point h metres above a lake is β. The angle of depression of its reflection in the lake is 45° . The height of location of the cloud from the lake is
Answer : Option A
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Q9. The ratio of the volumes of a cylinder, a cone and a sphere, if each has the same diameter and same height is
Answer : Option D
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Q10. A purse contains 10 notes of ₹2000, 15 notes of ₹500, and 25 notes of ₹200. One note is drawn at random. What is the probability that the note is either a ₹500 note or ₹200 note?
Answer : Option D
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