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CUET General Test 2022 PYQs23 Aug Shift 1. Free, no login required.

Quantitative Reasoning

past year questions, CUET General Test 2022 23 Aug Shift 1

Number System

past year questions, Quantitative Reasoning, CUET General Test 2022 23 Aug Shift 1

Medium

Find the value of 523×573563\frac{5^{\frac{2}{3}} \times \sqrt[3]{5^7}}{\sqrt[3]{5^6}}

Solution

✅ Correct Option: 1

52/3×57/356/3=52/3+7/3−6/3=53/3=51=5\frac{5^{2/3} \times 5^{7/3}}{5^{6/3}} = 5^{2/3 + 7/3 - 6/3} = 5^{3/3} = 5^1 = 5.

Related questions:

2022: 20 Aug Shift 1

−224+(−314)×9=?-224 + (-314) \times 9 = ?

2026: 12 May Shift 1

If a and b are positive real numbers. Match List-I with List-II

List-IList-II
IdentitiesRelation
(A) (a+b)(a−b)(\sqrt{a}+\sqrt{b})(\sqrt{a}-\sqrt{b})(I) =a−b=a-b
(B) (a+b)(a−b)(a+\sqrt{b})(a-\sqrt{b})(II) =a2−b=a^2-b
(C) (a+b)2(\sqrt{a}+\sqrt{b})^2(III) =a−b2=a-b^2
(D) (a)2−(b)4(\sqrt{a})^2-(\sqrt{b})^4(IV) =a+2ab+b=a+2\sqrt{ab}+b

Choose the correct answer from the options given below:

2026: 30 May Shift 1

Consider the following statements:

I. If a and b are composite numbers, then a + b is always composite.

II. Zero is a natural number but not a whole number.

Which of the above statements is/are correct from the options given below:

2026: 12 May Shift 2

The sum of the natural numbers which are divisors of 100, is:

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The value of (8125)−43\left(\frac{8}{125}\right)^{\frac{-4}{3}} is __________

2026: 21 May Shift 1

If I write down all the numbers from 1 to 100, then how many times I have written the digit 3 ?

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