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Question 1
The side BC of ΔABC is produced to D. If ∠ACD = 114 ° and ∠ABC = (1/2) ∠BAC, then what is the value (in degrees) of ∠BAC?
Question 2
If x3 – y3 = 81 and x – y = 3, then what is the value of x2 + y2?
Question 3
A sum amounts to Rs 7727.104 at the rate of 12% per annum compounded annually after three years. What is the value of principal (in Rs)?
Question 4
The ratio of number of boys and girls in a class is 3 : 2. The average weight of boys and girls in the class is 21 kg and 18 kg respectively. What is the average weight (in kgs) of all the boys and girls together?
Question 5
Product of three consecutive odd numbers is 1287. What is the largest of the three numbers?
Question 6
A boat is sailing towards a lighthouse of height 20√3 m at a certain speed. The angle of elevation of the top of the lighthouse changes from 30° to 60° in 10 seconds. What is the time taken (in seconds) by the boat to reach the lighthouse from its initial position?
Question 7
If 
, then what is the value of 
?
, then what is the value of ? Question 8
How many spherical balls of radius 1 cm can be made by melting a hemisphere of radius 6 cm?
Question 9
In a triangle ABC, AD is angle bisector of ∠A and AB : AC = 3 : 4. If the area of triangle ABC is 350 cm2, then what is the area (in cm2) of triangle ABD?
Question 10
If 
, then what is the value of x?
, then what is the value of x? - 62 attempts
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Mar 10SSC & Railway
