Maths-
General
Easy
Question
Number of ways in which 2 Indians, 3 Americans, 3 Italians and 4 Frenchmen can be seated on a circle, if the people of the same nationality sit together is -
- 2. (4!)2 (3!)2
- 2. (3!)3 .(4!)
- 2. (3!) (4!)3
- None of these
The correct answer is: 2. (3!)3 .(4!)
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Number of 3 digit numbers which have their digits either in increasing order or in decreasing order is -
Number of 3 digit numbers which have their digits either in increasing order or in decreasing order is -
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Assertion : In a triangle ABC; the harmonic mean of the exradii is 3 times the inradius.
Reason : In any triangle ABC; r1 + r2 + r3 = 4R.
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If 
If
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Reason : A.M. G.M.
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Assertion: The orthocentre of the given triangle is coincident with the in-centre of the pedal triangle of the given triangle.
Reason : Pedal triangle is the ex-central triangle of the given triangle.
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A large number of primary follicles degenerate during the phase from birth to puberty. Therefore at puberty each ovary has about
A large number of primary follicles degenerate during the phase from birth to puberty. Therefore at puberty each ovary has about
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Assertion : The side of regular hexagon is 5 cm whose radius of inscribed circle is 5cm.
Reason : The radius of inscribed circle of a regular polygon of side a is 
.
Assertion : The side of regular hexagon is 5 cm whose radius of inscribed circle is 5cm.
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Assertion : In a ABC, 
is equal to 
Reason : In equilateral triangle the ratio between In-radius and circum-radius is 1 : 2.
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Assertion : In any triangle ABC, 
, where r is in radius and R is circum radius.
Reason : R 2r.
Assertion : In any triangle ABC, , where r is in radius and R is circum radius.
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In any equilateral , three circles of radii one are touching to the sides given as in the figure then area of the
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If the sides a, b, c of a triangle are such that a : b : c : : 1 : 
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