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A person starts writing natural numbers, starting from 1, on a blackboard, at the rate of 60 digits per min. At the same time, another person begins to erase the digits from 1 onwards, at the rate of 40 digits per min. Find the difference between the leftmost digit and the rightmost digit on the blackboard immediately after 1 h.

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Important Questions on Arithmetic

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IMPORTANT
Quantitative Aptitude for the CAT>Chapter 2 - Arithmetic>Practice Exercises>Q 42
Two persons Prabhat and Vinay are walking around a circular park of the length 960 m. Prabhat walks at the rate of 80 m/min, while Vinay walks at the rate of 60 m/min. If both of them start from the same starting point at the same time in the same direction, when will they be together?
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Quantitative Aptitude for the CAT>Chapter 2 - Arithmetic>Practice Exercises>Q 43

A 100 m long train is approaching an unmanned railway crossing. The train is running at a uniform speed of 90 km/h and is 1 km away from the crossing. At the same time, a packed jeep, also approaching the crossing, is 700 m away from it. Assuming that the jeep is also moving at a uniform speed of N, what is the range of N, for which the jeep will not collide with the train?

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Quantitative Aptitude for the CAT>Chapter 2 - Arithmetic>Practice Exercises>Q 44
A road from A to B is 1112 km long, first goes uphill, then crosses a plain, and then goes downhill. A person walking from A to B covered this road in 2 h 54 min, and the return journey took him 3 h 6 min. His speed uphill is 3 km/h, on the plain is 4 km/h and downhill is 5 km/h. What is the length of the plain part of the journey?
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Quantitative Aptitude for the CAT>Chapter 2 - Arithmetic>Practice Exercises>Q 45
Two cyclists start from the same place to ride in the same direction. Aflatoon starts at noon with a speed of 8 km/h and Bablajoon starts at 2 pm with a speed of 10 km/h. At what times, Aflatoon and Bablajoon will be 5 km apart?
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Quantitative Aptitude for the CAT>Chapter 2 - Arithmetic>Practice Exercises>Q 46
Mrs. and Mr. Sinha travel from Patna to Lucknow and break their journey at Buxer. Somewhere between Patna and Lucknow, Mrs. Sinha asks, 'How far have we traveled?' Mr. Sinha replies, 'Half as far as the distance from here to Lucknow'. Somewhere between Buxer and Lucknow, exactly 300 km from the point where she asked the first question, Mrs. Sinha asks, 'How far have we to go?' Mr. Sinha replies, 'Half as far as the distance from Buxer to here'. The distance between Patna to Lucknow is: 
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Quantitative Aptitude for the CAT>Chapter 2 - Arithmetic>Practice Exercises>Q 47
At his normal speed, Rishu can go 18 km downstream in a flowing river in 9 h less than what he takes to go the same distance upstream. The downstream journey would take 1 h less than what the upstream journey would take provided he doubles his rate of rowing. Find the speed of the river (in km/h)?
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Quantitative Aptitude for the CAT>Chapter 2 - Arithmetic>Practice Exercises>Q 48
Umesh and Harish are running on a circular track of length 1200 m in opposite direction. Every time they meet, they exchange their speed as well as their directions. What is the shorter distance along the track between their 13th and 23rd meeting points, if the ratio of their original speeds is 1:5?
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Quantitative Aptitude for the CAT>Chapter 2 - Arithmetic>Practice Exercises>Q 49
Two friends Manoj and Sagar start running simultaneously in an opposite direction on a circular track of the length 2100 m with speed of 7 m/s and 3 m/s, respectively. With every meeting, they exchange their speed and they meet a total of 10 times. How much distance did Sagar cover in total?