TS ICET 19th August 2021 Shift-2


For the following questions answer them individually

Question 81

$$\sqrt{10 + 2\sqrt{6} + 2\sqrt{10} + 2\sqrt{15}} =$$

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Question 82

When a number is divided by divisor, the quotient obtained is one-third of the divisor and the remainder is 50% more than the quotient. If the remainder is 30, then the value of the original number is

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Question 83

The remainder obtained when $$9^{19} + 6$$ is divided by 8 is

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Question 84

What is the smallest number which when increased by 5 is divisible by 3, 6, 9, 15, 20, 24 and 36?

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Question 85

What is the least integer which gives remainder 0 when divided by 2, remainder 4 when divided by 5 and remainder 3 when divided by 7?

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Question 86

The average of four consecutive even integers is 37. Then the product of the first and fourth is

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Question 87

The value of $$5+\frac{1}{6+\frac{1}{8+\frac{1}{2}}}$$ is

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Question 88

The ascending order of the surds $$4\sqrt{13}, 5\sqrt{9}, 6\sqrt{6}, 7\sqrt{5}$$ is

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Question 89

What is the difference between the largest and the smallest of the following rational numbers?

$$\frac{7}{12}, \frac{13}{18}, \frac{19}{36}, \frac{5}{6}$$

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Question 90

In a mixture of 124 litres of milk and water, the water content is 25%. If 31 litres of water is added to the mixture, then the ratio of milk to water in 155 litres of mixture is

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