Gist of EPW October Week 3, 2021
The Economic and Political Weekly (EPW) is an important source of study material for IAS, especially for the current affairs... View Article
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Brahmaputra plain is also called as
(a) Assam plain (b) Punjab plain (c) Southern plain (d) None of these Answer: Brahmaputra plain is also called as... View Article
What is the radius of a circle inscribed in a triangle having side lengths 35 cm, 44 cm and 75 cm?
(a) 3 cm (b) 4 cm (c) 5 cm (d) 6 cm Solution: Given side lengths of the triangle are... View Article
Solve 5x – 2(2x – 7) = 2(3x – 1) + 7/2
Solution: Given 5x – 2(2x – 7) = 2(3x – 1) + 7/2 => 5x – 4x + 14 =... View Article
The sum of two opposite angles of a quadrilateral is 1720. The other two angles of the quadrilateral are equal. Find the equal angles.
Solution: We know the sum of all the angles of a quadrilateral is 3600. Given the sum of two opposite... View Article
Where is the national institute of virology situated?
Answer: The national institute of virology is situated in Pune, Maharashtra. The National Institute of Virology is one of the... View Article
Find the measure of each angle in degrees of a regular octagon.
Solution: We know, there are eight sides in a regular octagon. Number of sides, n = 8 Interior angle of... View Article
Solve y – 12 = -5
Solution: Given y – 12 = -5 => y = 12 – 5 => y = 7
Find a quadratic polynomial whose zeroes are 2 and -6.
Solution: Given zeros are 2 and -6. Sum of zeros = 2-6 = -4 Product of zeros = 2×-6 =... View Article
The length of Ramesh’s notebook is 9 cm 5 mm.
(a) The length of Ramesh’s notebook is 9 cm 5 mm. What will be its length in cm? (b) The... View Article
The sides of two similar triangles are in the ratio 4:9. Areas of these triangles are in the ratio
(a) 4:9 (b) 3:5 (c) 81:16 (d) 16:81 Answer: If two triangles are similar to each other, then the ratio... View Article
If A is an invertible matrix of order 2, then det (A-1) is equal to
(a) det (A) (b) 1/det(A) (c) 1 (d) 0 Solution: We know AA-1 = I Take determinant on both sides... View Article
Find the value of the polynomial x2+ 2x + 5 when x = 0.
(a) 8 (b) 5 (c) 7 (d) 3 Solution: Given polynomial is f(x) = x2 .+ 2x + 5 Substitute... View Article
The mean of 25 observations is 36. If the mean of the first 13 observations is 32 and that of the last 13 observations is 40, find the 13th observation.
(a) 36 (b) 35 (c) 40 (d) none of these Solution: The mean of 25 observations = 36 Sum of... View Article
Find 50 – (-40) – (- 2).
Solution: 50 – (-40) – (- 2) = 50 + 40 + 2 = 92
A sphere of diameter 5cm is dropped into a cylindrical vessel partly filled with water. The diameter of the base of the vessel is 10cm. If the sphere is completely submerged, by how much will the level of water rise?
Solution: Diameter of sphere = 5 cm Radius of sphere, r = 5/2 = 5/2 cm The diameter of the... View Article
The total surface area of a cube is 216 cm2 then its volume is
(a) 216 (b) 144 (c) 196 (d) 212 Solution: Given TSA of cube = 216 cm3 => 6a2 = 216... View Article
An integer is chosen at random from 1 to 50. Find the probability that the number is
i) Divisible by 5 ii) A perfect cube iii) A prime number Solution: Total number of outcomes = 50 i)... View Article
10, 100, 200, 310, ?
(A) 400 (B) 410 (C) 420 (D) 430 Solution: By observing the series, we can find that the pattern is... View Article
If tan(cos-1 x) = sin(cot-1 1/2) then x is equal to
(a) 1/√5 (b) 2/√5 (c) 3/√5 (d) √5/3 Solution: Given tan(cos-1 x) = sin(cot-1 1/2) Let cot-1 ½ = θ... View Article
