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The question below is followed by statements I, II, and III. You have to determine whether the data given in the statement is sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose the best possible answer. The difference between the compound interest and simple interest on a certain sum at a certain rate of interest per annum for two years is 204.20. What is the amount received on the sum of compound interest at the same rate of interest at the end of three years. I. The difference between the compound interest and the simple interest on the sum for three years is 804.258. II. The sum becomes Rs. 14528 at the end of one year. III. The compound interest on the sum for two years is 7% more than the simple interest on the sum for two years.
As in the determination of the various unknown forces in the free body diagram involves the use of vectors. So one of the vector law is commutative law and it is valid for the cross product of two vectors. (Commutative law: PxQ = QxP; for two vectors P and Q)
Angle ‘A’ of a cyclic quadrilateral ABCD is 53° less then angle B. Angle B is twice of angle C and angle C is 40° more than angle D. What would be the measure of angle A?
Which of the following statement(s) given below is / are TRUE? A: Sum of exterior angle of triangle is less than the sum of exterior angle of a quadrilateral. B: Sum of interior angles of a polygon is (n - 1) × 90° (‘n’ is number of sides.) C: Interior angle of regular polygon is 72°, then measure of its corresponding exterior angle is 108°. 
The scalar product of two vectors has a magnitude that is proportional to (consider θ as angle between two vectors):
Four friends born between (1991 – 99) meets at 2020. The ratio of sum of age of two oldest guys: Sum of age two youngest guys is 9 ∶ 8. Again when they meet at 2030, the ratio of (sum age of youngest + oldest) and (sum of ages of other two) is 1 ∶ 1. What is the sum of the age of the third youngest guy and second youngest guy in the year 2020? (in years)
In the following question, sentences of a paragraph have been jumbled and labeled as P, Q, R, and S. You are required to rearrange the jumbled sentences of the paragraph and mark your response accordingly by selecting the correct option. S1: There's nothing new in the idea that adolescence is a difficult period for everyone the adolescents themselves, of course, as well as for their parents P. Quite simply, the two generations live worlds apart. Now, psychologists are beginning to understand the biological basis for this eternal conflict. Q. Teenagers' brains really are different from those of their parents and a fully adult brain may not develop until well after the teenage years. R. For their parts, adolescents can't understand what their parents are worried about; they find their tastes and responsible concerns boring and outdated S. From an adult point of view, adolescents are difficult, rebellious, irresponsible, often selfish, and self-absorbed, prone to dangerous behaviour that risks their health, their life, and their possibility of future happiness. S6: This new knowledge, it is hoped, will help all of us deal better with the difficult and often painful years of transition from childhood to adulthood.
If the complementary angle of an angle is 6° less than seven times the original angle, then find the measure of the angle which is 18° more than the supplementary angle of the original angle.
Given below are two quantities named A and B. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose between the possible answer. Quantity A: The LCM of two numbers is 40 times their HCF. The sum of the LCM and HCF is 1,476. If one of the numbers is 288, find the sum of digits of other number? Quantity B: A vendor has 748 oranges, 408 apples and 952 mangoes. If he packs the fruits into crates with an equal number of fruit without mixing them, what is the sum of digits of minimum number of crates required?
The LCM of two numbers is 28 times their HCF and the sum of their LCM and HCF is 493. The difference of the two numbers is 51. If s is the sum of the two numbers, then what is the sum of digits of s?