Aptitude and Reasoning Questions

What is the value of 2 consecutive natural numbers, sum of whose squares is 145?

A piece of paper is folded and cut as shown below in the question figures. From the given answer figures, indicate how it will appear when opened.

From the given alternatives, select the word which CANNOT be formed using the letters of the given word.

Threatened

Which answer figure will complete the pattern in the question figure?

A boat goes 15 km upstream and 10 1/2 km down stream in 3 hrs 15 min. It goes 12 km upstream and 14 km downstream in 3 hrs. What is the speed of the boat in still water?

In each of the following questions, a question is followed by information given in three statements. You have to decide the information given in which of the statements
is necessary and sufficient to answer the questions:

A, B, C, D and E are sitting in a circle. Are all of them facing the centre?

I. A is sitting second to the right of D; C is facing the centre and is not an immediate neighbour of D.
II. B, who is sitting between C and D, is second to the right of E, who is not an immediate neighbour of C. B and A are facing each other.
III. D is sitting on the immediate left of B, who is not sitting on the immediate left of A. E is on the immediate right of D.

If FRIEND is coded as HUMJTK, how can CANDLE be written in that code?

A word is represented by only one set of numbers as given in any one of the alternatives. The sets of numbers given in the alternatives are represented by two classes of alphabets as shown in the given two matrices. The columns and rows of Matrix-I are numbered from 0 to 4 and that of Matrix-II are numbered from 5 to 9. A letter from these matrices can be represented first by its row and next by its column, for example 'H' can be represented by 13, 21 etc and 'T' can be represented by 57, 79 etc. Similarly, you have to identify the set for the word 'GLOW'.