Aptitude - Arithmetical Ability

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43.

The total of the ages of X, Y and Z is 65 years.Three years ago, the ratio of their ages was 3 : 5 : 6.What is the difference between the present ages of X and Z ?                        
A. 15 years B. 12 years
C. 27 years D. 18 years



44.

How many combinations of students are possible if the group is to consist of an equal number of freshmen, sophomores, and juniors?                        
A. 5880 B. 6880
C. 7880 D. 8880



45.

In how many different ways can the letters of the word 'OPTICAL' be arranged so that the vowels always come together?                        
A. 120 B. 720
C. 4320 D. 2160




46.

How many combinations of students are possible if the group is to consist of all members of the same class?                        
A. 20 B. 25
C. 30 D. 35



47.

In how many ways can the letters of the word 'APPLE' be arranged?                        
A. 720 B. 120
C. 60 D. 180



48.

In how many different ways can the letter of the word ‘AVERGE’ be arranged so that the vowels always come together ?                        
A. 144 B. 24
C. 6 D. 132



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