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Quantitative-aptitude Questions Set 228:

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The smallest prime number is:

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The least number that should be added to 2491 so that it becomes divisible by 3, 4, 5, and 6 is:

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Which of the following can be the value of 'k' for the given quadratic equation if the equation has real roots?

2x^2 - kx + 18 = 0

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A fort had the provision of food for 150 men for 45 days. After 10 days, 25 men left the fort. The number of days for which the remaining food will last is:

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Pipes A and B can fill a tank in 5 and 6 hours respectively. Pipe C can empty it in 12 hours. If all three pipes are opened together, then the tank will be filled in:

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What is the larger of the two numbers if the HCF (Highest Common Factor) of the two numbers is 23 and the other two factors of their LCM (Least Common Multiple) are 13 and 14?

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A committee of 5 members is to be formed out of 5 Math faculty members, 4 verbal faculty members, and 10 students. What is the probability that the committee has at least 1 student? (rounded to 3 decimal places)

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Two pipes A and B together can fill a cistern in 4 hours. If they were opened separately, pipe B would have taken 6 hours more than pipe A to fill the cistern. How much time will pipe A take to fill the cistern separately?

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A toy cycle has a front wheel circumference of 20 cm and a back wheel circumference of 35 cm. If the front wheel made 15 more revolutions than the back wheel while the cycle was moving in a straight line, how many cm did the cycle travel?

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Harry has assembled a basket of fruit as a holiday gift for each of his friends - Mike, Tom, Usmaan, and Vernon. A total of 15 pieces of fruit - 5 apples, 5 oranges, and 5 pears - are distributed among the four baskets according to the following conditions:

- Mike, Tom, and Usmaan will each receive exactly two different types of fruit.

- Vernon will receive only apples.

- Tom will receive more pieces of fruit than Mike.

- Each basket includes at least three pieces of fruit.

If Vernon's basket contains exactly 3 pieces of fruit, and if Mike and Usmaan's baskets contain identical fruit assortments, which of the following could be true?

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