Modern Math

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Q. If 25% of a population likes apples, 15% likes oranges, and 5% likes both, what percentage likes either fruit?
  • A. 35%
  • B. 30%
  • C. 25%
  • D. 20%
Q. If 25% of a population likes apples, 35% likes oranges, and 10% likes both, what percentage likes only apples?
  • A. 15%
  • B. 25%
  • C. 10%
  • D. 5%
Q. If 25% of a population likes reading, 15% likes writing, and 5% likes both, what percentage likes either reading or writing?
  • A. 35%
  • B. 30%
  • C. 25%
  • D. 20%
Q. If 4 different books are to be arranged on a shelf, how many arrangements are possible?
  • A. 16
  • B. 24
  • C. 32
  • D. 48
Q. If 4 different books are to be arranged on a shelf, how many different arrangements are possible?
  • A. 16
  • B. 24
  • C. 32
  • D. 48
Q. If 40 students like Mathematics, 30 like Science, and 10 like both subjects, how many students like only Mathematics?
  • A. 30
  • B. 20
  • C. 10
  • D. 40
Q. If 6 different colored balls are to be arranged in a row, how many arrangements are possible?
  • A. 720
  • B. 600
  • C. 360
  • D. 480
Q. If 60% of students like reading fiction, 40% like reading non-fiction, and 10% like both, what percentage of students like at least one genre?
  • A. 90%
  • B. 100%
  • C. 80%
  • D. 70%
Q. If 60% of students like reading, 40% like writing, and 10% like both, what percentage of students like only reading?
  • A. 50%
  • B. 40%
  • C. 30%
  • D. 20%
Q. If 60% of students like reading, 40% like writing, and 10% like both, what percentage of students like only writing?
  • A. 30%
  • B. 40%
  • C. 10%
  • D. 50%
Q. If 60% of students play cricket, 40% play football, and 10% play both, what percentage of students play either cricket or football?
  • A. 90%
  • B. 80%
  • C. 70%
  • D. 60%
Q. If 60% of students play cricket, 40% play football, and 10% play both, what percentage of students play only cricket?
  • A. 50%
  • B. 40%
  • C. 30%
  • D. 20%
Q. If 60% of students play cricket, 40% play football, and 10% play both, what percentage of students play only one sport?
  • A. 90%
  • B. 80%
  • C. 70%
  • D. 60%
Q. If 60% of students play cricket, 50% play football, and 30% play both, what percentage of students play either cricket or football?
  • A. 50%
  • B. 60%
  • C. 80%
  • D. 100%
Q. If 60% of students play football, 40% play basketball, and 10% play both, what percentage of students play either sport?
  • A. 90%
  • B. 80%
  • C. 70%
  • D. 60%
Q. If 60% of students play football, 40% play basketball, and 10% play both, what percentage of students play either football or basketball?
  • A. 90%
  • B. 80%
  • C. 70%
  • D. 60%
Q. If 80% of a population likes tea, 60% likes coffee, and 30% likes both, what percentage likes at least one of the two?
  • A. 50%
  • B. 60%
  • C. 80%
  • D. 100%
Q. If a box contains 4 defective and 16 non-defective items, what is the probability of selecting a non-defective item?
  • A. 1/5
  • B. 4/20
  • C. 4/16
  • D. 16/20
Q. If a committee of 3 is to be formed from 5 people, how many different committees can be formed?
  • A. 10
  • B. 15
  • C. 20
  • D. 5
Q. If a committee of 3 members is to be formed from a group of 5 people, how many different committees can be formed?
  • A. 10
  • B. 15
  • C. 5
  • D. 20
Q. If a function is defined as f(x) = 2x + 3, what is the value of f(4)?
  • A. 8
  • B. 11
  • C. 14
  • D. 7
Q. If a function is defined as f(x) = 3x + 2, what is the value of f(4)?
  • A. 14
  • B. 12
  • C. 10
  • D. 8
Q. If a lock has 4 digits, how many different combinations can be formed if digits can be repeated?
  • A. 10000
  • B. 9000
  • C. 8000
  • D. 7000
Q. If a lock has 4 digits, how many different combinations can be formed using the digits 0-9?
  • A. 10000
  • B. 9000
  • C. 1000
  • D. 5000
Q. If a lock requires 3 different digits from 0 to 9, how many different combinations can be formed?
  • A. 720
  • B. 1000
  • C. 900
  • D. 120
Q. If a lock requires 3 digits, how many different combinations can be formed using the digits 0-9?
  • A. 1000
  • B. 900
  • C. 100
  • D. 10
Q. If a lock requires a 3-digit code using the digits 0-9, how many different codes can be formed if digits cannot be repeated?
  • A. 720
  • B. 1000
  • C. 900
  • D. 800
Q. If a password consists of 3 letters followed by 2 digits, how many different passwords can be formed using the first 3 letters of the alphabet and the first 5 digits?
  • A. 150
  • B. 180
  • C. 120
  • D. 100
Q. If a password consists of 3 letters followed by 2 digits, how many different passwords can be formed using the English alphabet and digits?
  • A. 17576000
  • B. 456976
  • C. 100000
  • D. 1000
Q. If a password consists of 3 letters followed by 2 digits, how many different passwords can be formed using 26 letters and 10 digits?
  • A. 676000
  • B. 6760000
  • C. 67600
  • D. 6760
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