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Arithmetic Quiz || Law Entrance Exams || 28.09.2021
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Question 1
Measure of each interior angle of a regular polygon can never be :
Question 2
The digits of a three-digit number A are written in the reverse order to form another three- digit number B. if B> A and B – A is perfectly divisible by 7, then which of the following is necessarily true?
Question 3
In the given figure, AD = BD and AC=DC. If the length of AC = √3 and AE is perpendicular to BC and ∠B = 30°, then find the length of AE?
Question 4
What are the roots of the quadratic equation 
?
? Question 5
The number of diagonals of a polygon is 54. The number of sides of the polygon is how much?
Question 6
10 years ago the ratio of the ages of A and B is 3:1. And after 10 years the ratio of their ages will be 2:1. Find the sum of their present ages?
Question 7
The present ages of Geeta and Sita are in the ratio 3: 4 respectively. The ages of Radha and Sita, 4 years hence would be in the ratio of 5: 4 respectively. Mohan is 8 years elder to Radha. The average of present ages of Geeta, Sita, Radha and Mohan is 28 years. Find Mohan’s present age.
Question 8
In a quadratic equation 3x2 − x − 2 = 0, if the roots of this equation are α and β then find the value of (α4 + β4)/(α − β).
Question 9
The number of sides in two regular polygons are in the ratio 5 : 4 and the difference between each interior angle of the polygons is 6 °. Then the numbers of sides are
Question 10
The sum of a fraction and 3 times its reciprocal is 19/4. What is the fraction?
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