Major Competitive Exams

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Q. A number is divided by 9 and leaves a remainder of 5. If this number is increased by 4, what will be the new remainder when divided by 9? (2023)
  • A. 0
  • B. 1
  • C. 2
  • D. 3
Q. A number is divisible by 12 and leaves a remainder of 5 when divided by 8. What is the possible value of this number? (2023)
  • A. 20
  • B. 29
  • C. 41
  • D. 53
Q. A number is divisible by both 12 and 15. What is the smallest number that is also divisible by 36? (2023)
  • A. 180
  • B. 120
  • C. 240
  • D. 360
Q. A number is divisible by both 12 and 15. What is the smallest number that is also divisible by both? (2023)
  • A. 30
  • B. 60
  • C. 90
  • D. 120
Q. A number is divisible by both 2 and 5. Which of the following must be true?
  • A. It is even.
  • B. It is odd.
  • C. It is a prime number.
  • D. It is a multiple of 10.
Q. A number is divisible by both 4 and 6. What is the smallest number that is also divisible by 12?
  • A. 12
  • B. 24
  • C. 36
  • D. 48
Q. A number is divisible by both 6 and 8. What is the smallest number that is also divisible by 12? (2023)
  • A. 24
  • B. 48
  • C. 36
  • D. 60
Q. A number is divisible by both 8 and 14. What is the least number of digits in the smallest number that is divisible by both? (2023)
  • A. 1
  • B. 2
  • C. 3
  • D. 4
Q. A number is increased by 20% and then decreased by 20%. What is the net change in percentage? (2023)
  • A. 0%
  • B. 4%
  • C. 5%
  • D. 6%
Q. A number is said to be a multiple of 4 if its last two digits form a number that is divisible by 4. Which of the following numbers is NOT a multiple of 4?
  • A. 124
  • B. 256
  • C. 378
  • D. 492
Q. A number is said to be a perfect square if it has an integer as its square root. Which of the following numbers is a perfect square?
  • A. 18
  • B. 20
  • C. 25
  • D. 30
Q. A number leaves a remainder of 1 when divided by 3 and a remainder of 2 when divided by 5. What is the smallest positive integer that satisfies these conditions? (2023)
  • A. 6
  • B. 11
  • C. 16
  • D. 21
Q. A number leaves a remainder of 1 when divided by 5 and a remainder of 2 when divided by 7. What is the smallest such number?
  • A. 8
  • B. 16
  • C. 22
  • D. 29
Q. A number leaves a remainder of 1 when divided by 5 and a remainder of 2 when divided by 3. What is the smallest positive integer that satisfies these conditions? (2023)
  • A. 1
  • B. 5
  • C. 8
  • D. 11
Q. A number leaves a remainder of 2 when divided by 5. Which of the following numbers is NOT possible?
  • A. 7
  • B. 12
  • C. 17
  • D. 22
Q. A number leaves a remainder of 4 when divided by 10 and a remainder of 2 when divided by 3. What is the smallest positive integer that satisfies these conditions? (2023)
  • A. 4
  • B. 14
  • C. 24
  • D. 34
Q. A number leaves a remainder of 4 when divided by 6. If this number is multiplied by 3, what will be the remainder when the result is divided by 6? (2023)
  • A. 0
  • B. 1
  • C. 2
  • D. 3
Q. A number leaves a remainder of 4 when divided by 9 and a remainder of 2 when divided by 5. What is the smallest such number? (2023)
  • A. 14
  • B. 23
  • C. 32
  • D. 41
Q. A number leaves a remainder of 6 when divided by 11. If this number is multiplied by 3, what will be the new remainder when divided by 11?
  • A. 0
  • B. 1
  • C. 2
  • D. 3
Q. A number leaves a remainder of 7 when divided by 10. If this number is decreased by 3, what will be the new remainder when divided by 10? (2023)
  • A. 0
  • B. 1
  • C. 2
  • D. 3
Q. A number leaves a remainder of 7 when divided by 11. If we subtract 3 from this number, what will be the new remainder when divided by 11? (2023)
  • A. 3
  • B. 4
  • C. 5
  • D. 6
Q. A nutrition label states that a serving contains 15% of the daily value of fiber based on a 2000 calorie diet. How many grams of fiber does this represent if the daily value is 25 grams? (2021)
  • A. 2 grams
  • B. 3 grams
  • C. 4 grams
  • D. 5 grams
Q. A nutrition label states that a serving contains 200 mg of sodium. If a person consumes 3 servings, how much sodium do they consume in total? (2022)
  • A. 400 mg
  • B. 500 mg
  • C. 600 mg
  • D. 700 mg
Q. A pair of shoes were left at the door. (2023)
  • A. Correct
  • B. Incorrect
  • C. Depends on context
  • D. None of the above
Q. A parallel plate capacitor has a capacitance of 5 µF. If the potential difference across it is increased from 10 V to 20 V, what is the change in stored energy?
  • A. 25 µJ
  • B. 50 µJ
  • C. 75 µJ
  • D. 100 µJ
Q. A parallel plate capacitor has a capacitance of 5μF. If the distance between the plates is halved, what will be the new capacitance? (2023)
  • A. 5μF
  • B. 10μF
  • C. 2.5μF
  • D. 20μF
Q. A parallel plate capacitor has a potential difference of V across its plates. What is the electric field between the plates?
  • A. V/d
  • B. d/V
  • C. V²/d
  • D. d²/V
Q. A parallelogram has a base of 8 m and a height of 5 m. What is its area?
  • A. 40 m²
  • B. 30 m²
  • C. 50 m²
  • D. 20 m²
Q. A parliamentary committee consists of 12 members. If 1/3 of them are from the ruling party, how many members are from the ruling party? (2019)
  • A. 2
  • B. 3
  • C. 4
  • D. 5
Q. A parliamentary committee consists of 15 members. If 3 members are from the ruling party, what fraction of the committee is from the ruling party?
  • A. 1/5
  • B. 1/4
  • C. 1/3
  • D. 1/2
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