In how many different ways can the letters of the word ‘MATHEMATICS’ be arranged so that the vowels always come together?

Related Mcqs:

1. 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

2. A student has to opt for 2 subjects out of 5 subjects for a course. Namely commerce, economics, statistics, mathematics 1 and Mathematics 2, Mathematics 2 can be offered only if mathematics 1 has also opted. The number of different combinations of two subjects which can be opted is_________?

   A. 5
   B. 6
   C. 7
   D. 18

3. Find the number of ways of arranging the letters of the word “MATERIAL” such that all the vowels in the word are to come together?

   A. 720
   B. 1440
   C. 1860
   D. 2160

4. In an examination, every candidate took physics or mathematics or both 65.8% took physics and 59.2% took mathematics the total number of candidates was 2000. How many candidates took both physics and mathematics?

   A. 750
   B. 500
   C. 250
   D. 125

5. In how many ways can three consonants and two vowels be selected from the letters of the word “TRIANGLE”?

   A. 25
   B. 13
   C. 40
   D. 30

6. The number of arrangements that can be made with the letters of the word MEADOWS so that the vowels occupy the even places?

   A. 720
   B. 144
   C. 120
   D. 36

7. How many 4-letter words with or without meaning, can be formed out of the letters of the word, ‘LOGARITHMS’, if repetition of letters is not allowed?

   A. 40
   B. 400
   C. 5040
   D. 2520

8. The total marks obtained by a student in Physics, Chemistry and Mathematics is 150 more than the marks obtained by him in Physics. What is the average mark obtained by him in Chemistry and Mathematics?

   A. 75
   B. 150
   C. 50
   D. None of these

9. A student scored an average of 80 marks in 3 subjects: Physics, Chemistry and Mathematics. If the average marks in Physics and Mathematics is 90 and that in Physics and Chemistry is 70, what are the marks in Physics?

   A. 60
   B. 64
   C. 72
   D. 80

10. The total marks obtained by a student in Mathematics and Physics is 60 and his score in Chemistry is 20 marks more than that in Physics. Find the average marks scored in Mathematics and Chemistry together.

    A. 40
    B. 30
    C. 25
    D. Data inadequate