Quantitative Aptitude

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Q. In a lottery, the probability of winning is 0.05. If a person buys 10 tickets, what is the probability of winning at least once?
  • A. 0.5
  • B. 0.4
  • C. 0.6
  • D. 0.3
Q. In a lottery, the probability of winning is 0.05. If a person plays the lottery 10 times, what is the probability of winning exactly once?
  • A. 0.5
  • B. 0.4
  • C. 0.3
  • D. 0.2
Q. In a mathematical context, what does the term 'algorithm' refer to?
  • A. A type of geometric shape
  • B. A step-by-step procedure for calculations
  • C. A statistical method for data analysis
  • D. A theorem in number theory
Q. In a mixture of 40 liters, the ratio of milk to water is 3:1. How much water is in the mixture?
  • A. 10 liters
  • B. 15 liters
  • C. 20 liters
  • D. 30 liters
Q. In a mixture of 50 liters, the ratio of two chemicals is 4:1. How many liters of the first chemical are there?
  • A. 40 liters
  • B. 30 liters
  • C. 20 liters
  • D. 10 liters
Q. In a mixture of 60 liters, the ratio of water to alcohol is 2:3. How many liters of alcohol are in the mixture?
  • A. 36 liters
  • B. 24 liters
  • C. 30 liters
  • D. 18 liters
Q. In a mixture of milk and water, if the ratio of milk to water is 7:3, what percentage of the mixture is milk?
  • A. 70%
  • B. 30%
  • C. 60%
  • D. 40%
Q. In a mixture of three liquids, the ratio of liquid X to Y is 1:2, and the ratio of Y to Z is 3:4. What is the ratio of X to Z?
  • A. 1:3
  • B. 1:4
  • C. 2:3
  • D. 3:4
Q. In a mixture of three types of fruit juices, the ratio of juice A to juice B is 1:2, and the ratio of juice B to juice C is 3:4. What is the ratio of juice A to juice C?
  • A. 1:6
  • B. 2:3
  • C. 3:4
  • D. 1:8
Q. In a mixture of two liquids A and B, if the ratio of A to B is 3:2, what is the fraction of liquid A in the mixture?
  • A. 3/5
  • B. 2/5
  • C. 3/2
  • D. 2/3
Q. In a mixture of two liquids A and B, if the ratio of A to B is 3:2, what is the percentage of liquid A in the mixture?
  • A. 60%
  • B. 40%
  • C. 50%
  • D. 70%
Q. In a mixture of two liquids, if the first liquid is 20% alcohol and the second is 50% alcohol, what is the overall percentage of alcohol in the mixture if equal volumes of both liquids are mixed?
  • A. 35%
  • B. 40%
  • C. 45%
  • D. 50%
Q. In a mixture of two liquids, if the first liquid is 20% concentrated and the second is 80% concentrated, what is the concentration of the mixture if equal volumes are mixed?
  • A. 50%
  • B. 60%
  • C. 70%
  • D. 40%
Q. In a mixture of two liquids, if the first liquid is 25% alcohol and the second is 75% alcohol, what is the overall percentage of alcohol in a 10-liter mixture containing 4 liters of the first liquid?
  • A. 45%
  • B. 50%
  • C. 55%
  • D. 60%
Q. In a mixture of two liquids, if the first liquid is 25% alcohol and the second is 75% alcohol, what is the overall percentage of alcohol if equal volumes of both liquids are mixed?
  • A. 50%
  • B. 60%
  • C. 40%
  • D. 70%
Q. In a mixture of two liquids, if the first liquid is 40% and the second is 60%, what is the overall percentage of the first liquid in a 50-liter mixture containing 20 liters of the first liquid?
  • A. 30%
  • B. 40%
  • C. 50%
  • D. 60%
Q. In a mixture of two liquids, if the first liquid is 60% alcohol and the second is 40% alcohol, what will be the alcohol percentage in the final mixture if equal volumes of both liquids are mixed?
  • A. 50%
  • B. 55%
  • C. 60%
  • D. 45%
Q. In a mixture of two liquids, if the first liquid is 60% pure and the second is 80% pure, what is the overall purity if they are mixed in equal volumes?
  • A. 70%
  • B. 75%
  • C. 80%
  • D. 85%
Q. In a mixture of two types of nuts, if the first type constitutes 70% of the mixture, what percentage does the second type constitute?
  • A. 30%
  • B. 70%
  • C. 50%
  • D. 20%
Q. In a mixture of two types of nuts, if the ratio of type A to type B is 2:3, what fraction of the mixture is type A?
  • A. 2/5
  • B. 3/5
  • C. 2/3
  • D. 3/2
Q. In a mixture of two types of nuts, the ratio of almonds to cashews is 2:3. If there are 100 grams of almonds, how many grams of cashews are there?
  • A. 150 grams
  • B. 200 grams
  • C. 250 grams
  • D. 300 grams
Q. In a mixture of two types of nuts, the ratio of almonds to cashews is 4:1. If there are 40 almonds, how many cashews are there?
  • A. 10
  • B. 5
  • C. 15
  • D. 20
Q. In a mixture of two types of tea, if the first type costs $5 per kg and the second type costs $7 per kg, what is the cost per kg of the mixture if they are mixed in the ratio 2:3?
  • A. $6.40
  • B. $6.00
  • C. $6.20
  • D. $6.50
Q. In a modular arithmetic system, if 7 is congruent to x modulo 5, what is the value of x?
  • A. 2
  • B. 3
  • C. 4
  • D. 1
Q. In a modular arithmetic system, if 8 is congruent to 2 modulo n, what can be concluded about n?
  • A. n must be 6
  • B. n must be a factor of 6
  • C. n must be greater than 6
  • D. n must be less than 6
Q. In a modular arithmetic system, if 9 is congruent to y modulo 4, what is the value of y?
  • A. 1
  • B. 2
  • C. 3
  • D. 0
Q. In a modular arithmetic system, if a ≡ b (mod m) and c ≡ d (mod m), which of the following is not necessarily true?
  • A. a + c ≡ b + d (mod m)
  • B. a - c ≡ b - d (mod m)
  • C. a * c ≡ b * d (mod m)
  • D. a / c ≡ b / d (mod m)
Q. In a modular arithmetic system, if a ≡ b (mod m), which of the following statements is true?
  • A. a - b is divisible by m
  • B. a + b is divisible by m
  • C. a * b is divisible by m
  • D. a / b is divisible by m
Q. In a modular system with modulus 12, what is the result of 15 + 10?
  • A. 5
  • B. 7
  • C. 3
  • D. 1
Q. In a modular system with modulus 5, what is the result of (3 + 4) mod 5?
  • A. 2
  • B. 1
  • C. 0
  • D. 3
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