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CUET (UG) entrance exam Question Bank Solutions

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A fruit seller had some apples. He sells 40% apples and still has 420 apples. Originally, he had:

[1] Numerical Ability and Quantitative Reasoning
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What percent of 88 is 33?

[1] Numerical Ability and Quantitative Reasoning
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A man walks 1 km towards the East and then he turns to the South and walks 5 km. Again he turns East and walks 2 km, after this, he turns North and walks 9 km. Now, how far is he from his starting point?

[2] General Mental ability, Logical and Analytical Reasoning
Chapter: [2] General Mental ability, Logical and Analytical Reasoning
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Raj travelled from point X straight to Y at a distance of 80 metres. He turned right and walked 50 metres, then again turned right and walked 70 metres. Finally, he turned right and walked 50 metres. How far is he from the starting point?

[2] General Mental ability, Logical and Analytical Reasoning
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5 kg of metal A and 20 kg of metal B are mixed to form an alloy. The percentage of metal A in the alloy is

[1] Numerical Ability and Quantitative Reasoning
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If 75% of a number is added to 75, then the result is the number itself. The number is

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A reduction of 25% in the price of apples would enable a purchaser to get 2 kg apples more for Rs. 180. Find the original price of apples.

[1] Numerical Ability and Quantitative Reasoning
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Two tailors X and Y are paid a total of Rs. 550 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week?

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Shyam began to walk towards the South. After walking 20 m, he turned to his right and further walked 30 m. Then he turned to his left and walked 10 m. Again he turned to his left and walked 30 m. How far is he now from his starting point?

[2] General Mental ability, Logical and Analytical Reasoning
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A batsman scored 110 runs which included 3 boundaries and 8 sixes. What percent of his total score did he make by running between the wickets?

[1] Numerical Ability and Quantitative Reasoning
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The income of a company increases by 25% per year. If its income is 31,25,000 in the year 2017, what was the income in 2015?

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In a school, some students from section A were shifted to section B of class X, and thereby, the number of students in section B increased by 12%. But at a later stage, all of them were shifted back to section A. By what percentage (correct up to two decimal places) did the number of students in section B decrease?  

[1] Numerical Ability and Quantitative Reasoning
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An employee gets two successive increments in his salary, as a result of which his salary becomes 2.5 times the initial salary. What was his first percentage increment, if the second percentage increment was 4 times as high as the first?   

[1] Numerical Ability and Quantitative Reasoning
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In an election x and y participated. 40% of the voters promised to vote for x and rest promised to vote for y. On the voting day 114 went back on their promise to vote for x and 15% of the voters went back on their promise to vote for y. Find the number of voters, if y won by 7700 votes?

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A trader mixes 26 kg of rice at Rs. 20 per kg with 30 kg of rice of other variety at Rs. 36 per kg and sells the mixture at Rs. 30 per kg. His profit percent is:

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In a constituency, 60% of the voters are males and the rest are females. 40% of the males are illiterates and 25% of females are literate. By what percentage is the number of literate males more than that of illiterate females? 

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The door of Aditya's house faces the East. From the back side of his house, he walks straight 50 metres, then turns to the right and walks 50 metres again. Finally, he turns to the left and stops after walking 25 metres. Now, Aditya is in which direction from the starting point?

[2] General Mental ability, Logical and Analytical Reasoning
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A man is performing yoga with his head down and legs up. His face is towards the west. In which direction will his left hand be?

[2] General Mental ability, Logical and Analytical Reasoning
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Arun's office is situated 5 km South of Bharat's office. Bharat starts from his office and walks 2 km towards Arun's office. He then turns left and walks 3 km and then turns right and walks 3 km. In which direction will he turn to reach Arun's office?

[2] General Mental ability, Logical and Analytical Reasoning
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Alok walked 30 metres towards the east and took a right turn and walked 40 metres. He again took a right turn and walked 50 metres. Towards which direction is he from his starting point?

[2] General Mental ability, Logical and Analytical Reasoning
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