Quantitative Aptitude (Numerical Ability)

Q. In a palace, supplies are available for 35 days for only 75 people. 15 Guests arrive in the palace for vacation on day 1 itself. For how many days will these supplies be sufficient for all these people?
1) 90 days
2) 11.25 days
3) 42 days
4) 22.5 days

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Q. Which of the following two ratios is greater 17 : 18 and 10 : 11?
1) 17/18
2) 10/11
3) Both are same
4) Cannot determine

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Q. 56% of Y is 182. What is Y?
1) 350
2) 364
3) 325
4) 330

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Q. Find the sum of first 30 natural numbers.
1) 470
2) 468
3) 465
4) 463

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Q. Pranav walked at 5 km/h for certain part of the journey and then he took an auto for the remaining part of the journey travelling at 25 km/h. If he took 10 hours for the entire journey, what part of journey did he travelled by auto if the average speed of the entire journey be 17 km/h?
1) 750 km
2) 100 km
3) 150 km
4) 200 km

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Q. The driver of an ambulance sees a bus 40 m ahead of him, after 20 seconds, the bus is 60 meter behind. If the speed of the ambulance is 30 km/h, what is the speed of the bus?
1) 10 km/h
2) 12 km/h
3) 15 km/h
4) 22 km/h

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Q. Ajay covers certain distance with his own speed but when he reduces his speed by 10 km/h, his time duration for the journey increases by 40 hours while if, he increases his speed by 5 km/h from his original speed, he takes 10 hours less than the original time taken. Find the distance covered by him.
1) 1000 km
2) 1200 km
3) 1500 km
4) 1800 km

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Q. Two places R and S are 800 km apart from each other. Two persons start from R towards S at an interval of 2 hours. Whereas A leaves R for S before B. The speeds of A and B are 40 km/h and 60 km/h respectively. B overtakes A at M, which is on the way from R to S. What is the distance from R, where B overtakes A?
1) 260 km
2) 235 km
3) 240 km
4) 300 km

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Q. Two places R and S are 800 km apart from each other. Two persons start from R towards S at an interval of 2 hours. Whereas A leaves R for S before B. The speeds of A and B are 40 km/h and 60 km/h respectively. B overtakes A at M, which is on the way from R to S. What is the ratio of time taken by A and B to meet at M?
1) 1 : 3
2) 1 : 2
3) 1 : 4
4) 3 : 2

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Q. Anita goes to College at 20 km/h and reaches college 4 minutes late. Next time she goes at 25 km/h and reaches the college 2 minutes earlier than the scheduled time. What is the distance of her school?
1) 16 km
2) 12 km
3) 15 km
4) 10 km

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