What is the smallest digit that must be added to the product 5786 × 5784 to make it a perfect square?

if (1+sinα) (1-sinβ) (1+sinγ)= (1-sinα) (1-sinβ) (1-sinγ)=?

In a 20 over match, the required run rate to win is 7.2. If the run rate is 6 at the end of the 15th over, the required run rate to win the match is:

80 liters of a mixture of alcohol and water contains 60% alcohol. If 'X' liters of water is added to this mixture, then the percentage of alcohol in the new mixture becomes 40%. What is the value of 'X'?

What percent of 3.6kg is 72 gms ?

In ΔABC, D and E are points on the sides AB and AC, respectively, such that DE || BC. If AD = 5 cm, DB = 9 cm, AE = 4 cm and BC = 15.4 cm, then the sum of the lengths of DE and EC (in cm) is:

Direction: Study the following information carefully and answer the questions given below.
 25% of the boys and 60% of the girls from a college participated in an event. The total number of girls in the college is equal to the number of boys, who do not participate in the event.

The number of girls, who participated in the event is what percent more than the number of boys, who participated in the event?

Directions: The following questions are accompanied by three statements (A) or (I), (B) or (II), and (C) or (III). You have to determine which statement(s) is/are sufficient/necessary to answer the questions.

Find the number of days in which Q can do a job if P can do the same job in 8 days.
A. Q is 60% more efficient than P.
B. P and Q together can do the job in 3days.
C. P is 37 %less efficient than Q.