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CUET (UG) entrance exam Question Bank Solutions for General Test

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General Test
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Rs. 15,000 was invested by A and B together to start a small business. They got a profit of Rs. 2,000 at the end of the year. B took his profit share of Rs. 600. How much did A invest?

[1] Numerical Ability and Quantitative Reasoning
Chapter: [1] Numerical Ability and Quantitative Reasoning
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'A' started a business with a capital of ₹ 54,000 and admitted 'B' and 'C' after 4 months and 6 months, respectively. At the end of the year, the profit was divided in the ratio 1 : 4 : 5. What is the difference between the capitals invested by 'B' and 'C'?

[1] Numerical Ability and Quantitative Reasoning
Chapter: [1] Numerical Ability and Quantitative Reasoning
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The ratio of investment by A to that by B in a business is 14 : 15 and the ratio of their respective profits at the end of a year is 2 : 5. If A invested the money for 3 months, then for how much time (in months) B invested his money?

[1] Numerical Ability and Quantitative Reasoning
Chapter: [1] Numerical Ability and Quantitative Reasoning
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A and B invest in a business in the ratio 2 : 5. If 50% of the total profit goes to charity and A's share is Rs. 3.6 lakhs, the total profit is Rs. ______ lakhs.

[1] Numerical Ability and Quantitative Reasoning
Chapter: [1] Numerical Ability and Quantitative Reasoning
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A, B and C started a business. Thrice the investment of A is equal to twice the investment of B and also equal to four times the investment of C. If C's share out of the total profit is ₹ 4,863, then the share of A in the profit is ______.

[1] Numerical Ability and Quantitative Reasoning
Chapter: [1] Numerical Ability and Quantitative Reasoning
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A. B and C invest in a business in the ratio 4 : 5 : 7. C is a sleeping partner, so his share of profit will be half of what it would have been if he were a working partner. If they make Rs. 36,000 as an annual profit of which 25% is reinvested in the business, how much does B get (in Rs.)?

[1] Numerical Ability and Quantitative Reasoning
Chapter: [1] Numerical Ability and Quantitative Reasoning
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A starts a cement trading business by investing Rs. 5 lakhs. After 2 months, B joins the business by investing Rs. 10 lakhs and then 4 months after B joined C too joins them by investing Rs. 20 lakhs. 1 year after A started the busi- ness they make Rs. 3,50,000 in profit. What is B's share of the profit (in Rs.)?

[1] Numerical Ability and Quantitative Reasoning
Chapter: [1] Numerical Ability and Quantitative Reasoning
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A, B and C started a business With their capitals in the ratio 2 : 3 : 5. An increased his capital by 50% after 4 months, B increased his capital by `33 1/3`%  after 6 months and C withdrew 50% of his capital after 8 months, from the start of the business. If the total profit at the end of a year was ₹ 86,800, the difference between the shares of A and C in the profit was ______.

[1] Numerical Ability and Quantitative Reasoning
Chapter: [1] Numerical Ability and Quantitative Reasoning
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A, B and C started a business. A invested `33 1/3` % of capital 1 and B the `33 1/3` % of the remaining capital and C, the remaining. If the total profit, at the end of a year, was ₹ 20,250, then the profit of C exceeds the profit of B by.

[1] Numerical Ability and Quantitative Reasoning
Chapter: [1] Numerical Ability and Quantitative Reasoning
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A, B and C invest in a business in the ratio 3 : 6 : 5. A and C are working partners. Only B is a sleeping partner hence his share will be `3/4`th of what it would have been if he were a working partner. If they make Rs. 50,000 profit, half of which is reinvested in the business and the other half is distributed among the partners, then how much does C get (in Rs.)?

[1] Numerical Ability and Quantitative Reasoning
Chapter: [1] Numerical Ability and Quantitative Reasoning
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A, B and C enter into a partnership by investing their capitals in the ratio of `2/5 : 3/4 : 5/8`. After 4 months, A increased his capital by 50%, but B decreased his capital by 20%. What is the share of B in the total profit of Rs. 2,82,100 at the end of a year?

[1] Numerical Ability and Quantitative Reasoning
Chapter: [1] Numerical Ability and Quantitative Reasoning
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A, B and C started a business by investing Rs. 55,000, Rs. 65,000 and RS. 75,000 respectively. A is a working partner and gets 20% of the profit and the remaining is distributed in the proportion of their investments. If the total profit is Rs. 87,750, what is the share of A?

[1] Numerical Ability and Quantitative Reasoning
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A, B and C are partners in a firm sharing profit in the ratio of 3 : 4 : S. If they set aside 4% of the profits as emergency fund and shared the rest of the profit and B gets his share of profit as Rs. 1,81,400, the amount of profit set aside for emergency fund is ______.

[1] Numerical Ability and Quantitative Reasoning
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A Invests Rs. 6,00,000 more than B in business. B invests his capital for `7  1/2` months, while A invests his capital for `2  1/2` more months than B. Out of the total profit of Rs. 12,40,000. If the share of B is Rs. 2,48,000 less than the share of A, then the capital of B is ______.

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Anand travels 10 km from his home to the east to reach his school. Then he travels 5 km to the south to reach his father's shop, after school. He then travels 10 km to the west to help his uncle. How far and in which direction is he from his home?

[2] General Mental ability, Logical and Analytical Reasoning
Chapter: [2] General Mental ability, Logical and Analytical Reasoning
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At the time of sunrise, Lokesh is sitting facing a pole. If the shadow of the pole falls to his right, then which direction is Lokesh facing?

[2] General Mental ability, Logical and Analytical Reasoning
Chapter: [2] General Mental ability, Logical and Analytical Reasoning
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Rajni was facing the north-west. She moved 5 m, turned left and walked 3 m. Then she turned right and walked 8 m and stopped there. Which direction is she facing now?

[2] General Mental ability, Logical and Analytical Reasoning
Chapter: [2] General Mental ability, Logical and Analytical Reasoning
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A person walks 7 metres towards south. After taking a left turn he walks 12 metres. Again he takes a left turn and walks 2 metres. What is the distance between the starting point and final point?

[2] General Mental ability, Logical and Analytical Reasoning
Chapter: [2] General Mental ability, Logical and Analytical Reasoning
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A man starts from a point A and walks 5 metres in the east then he turns right and walks 3 metres, again he turns right and walks 9 metres and ftnaµy he takes a right turn walks 3 metres. Now how far is the man from point A and in which direction?

[2] General Mental ability, Logical and Analytical Reasoning
Chapter: [2] General Mental ability, Logical and Analytical Reasoning
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Study the following information carefully and answer the questions given below:

       Point B is 25 m south of Point A. Point C is 10 m east of Point B. Point D is 30 m north of Point C. Point E is 7 m east of Point D. Point X is 18 m south of Point E. Point M is 12 m south of Point X Point C is 7 m west of Point M.

Point B is in which direction from Point D?

[2] General Mental ability, Logical and Analytical Reasoning
Chapter: [2] General Mental ability, Logical and Analytical Reasoning
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