Aptitude and Reasoning Questions

The length of the two adjacent sides of a rectangle inscribed in a circle are 5 cm and 12 cm respectively. Then the radius of the circle will be

The 7th and 12th term of an arithmetic progression are -15 and 5 respectively. What is the 16th term?

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

Present age of Ashok is twice the present age of Kishan. After 7 years the Kishan’s age will be 4 times of the Kartik’s present age. If Kartik celebrated his 9th birthday 3 years ago, then what will be the present age (in years) of Ashok?

I am facing north. I turn left and walk 30 m. Then I turn right and walk 20 m, then I turn left and walk 10 m and then turning right and walk 50 m. Then I turn left and walk 50 m. In which direction am I from the starting point?

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.

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

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'.