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CDS || Mathematics Revision Quiz || 28-04-2019

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Question 1

If x2 = y + z, y2 = z + x, z2 = x + y, then the value of is:

Question 2

If the value of is

Question 3

Find the roots of the quadratic equation: 2x2 + 7x - 9 = 0.

Question 4

If = , then what is the value of + ?

Question 5

ΔABC is right angled at B, If mA = 30 °, then find the value of (sinC + 1/3).

Question 6

The angles of elevation of an aeroplane flying vertically above the ground, as observed from the two consecutive stones, 1 km apart; are 45o and 60o.
The height of the aeroplane from the ground is

Question 7

A sum becomes Rs 2286 in 3 years and Rs 2448 in 4 years at simple interest. What is the rate (in percentage) of interest per annum?

Question 8

S, T and U started a business by investing Rs 4200, Rs 6300 and Rs 8400 respectively. S left the business after 3 months, T left 6 months after the business had started and U remained in the business till one year. At the end of one year the total profit is Rs 6000. What is the U’s share (in Rs) in the profit?

Question 9

Two bucket contain equal quantity of mixture of milk & water 9 : 5 & 4 : 3 respectively. Both the mixture are mix. Find the ratio of milk to water in the mixture.

Question 10

A cow is tied on the corner of a rectangular field of size 30 m × 20 m by a 14 m long rope. The area of the region, that she can graze, is :

Question 11

The length of each side of a rhombus is equal to the length of the side of a square whose diagonal is cm. If the lengths of the diagonals of the rhombus are in the ration 3 : 4 then its area (in cm2) is

Question 12

In ∆ABC, C = 54 °, the perpendicular bisector of AB at D meets BC at E. If EAC = 42 °, then what is the value (in degrees) of ABC?

Question 13

ABCD is a square. An equilateral ΔOAB is inscribed in square. Find the angle DOC.

Question 14

What is the weighted mean of first 10 natural numbers whose weights are equal to the correspondinjg number?

Question 15

Which one among the following statements is not correct?
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