Quantitative Aptitude - Arithmetic Ability Questions

The square of 11111 is

In ΔPQR, S and T are points on side PQ and PR respectively. ST is parallel to QR. If S divides PQ in the ratio 4:3 and length of QR is 4.9 cm, find ST?

ΔDEF is right angled at E. If cosecD = 5/4, then what is the value of cosecF?

If the sum of digits is 9 and the difference between the digit in the ten's place and unit's place is 1, then the two-digit number is?

In the question two statements are given, followed by two conclusions, I and II. You have to consider the statements to be true even if it seems to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follows from the given statements.

Statement I:  All bins are baskets

Statement II:  No buckets are bins

Conclusion I:  All baskets are buckets

Conclusion II:  All buckets are baskets

In the following question, four groups of three numbers are given. In each group the second and third number are related to the first number by a Logic/Rule/Relation. Three are similar on basis of same Logic/Rule/Relation. Select the odd one out from the given alternatives.

Simplify x5 ÷ x43 ÷ x

An object travels 24 m in 3 s and then another 15 m in 2 s. What is the average speed of the object?