Day 186: CDS Maths

5 questions. Try each one first, then open its answer.

Question 1
Surds, Indices and Simplification. Asked once: CDS 2 2018 (same type asked 2 times) See all 2 of this type
15 $a^x = b^y = c^z$
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Question 2
Number System. Asked once: CDS 2 2023 (same type asked 9 times) See all 9 of this type
3 $A 2-digit number is such that the sum of the number and the number obtained by reversing the order of the digits of the number is 55. Further, the difference of the given number and the number obtained by reversing the order of the digits of the number is 45. What is the product of the digits ?$
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Question 3
Polynomials. Asked once: CDS 2 2024 (same type asked 9 times) See all 9 of this type
37 $a^4 + 2a^3 + 3a^2 + 2a + 1$
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Question 4
Number System. Asked once: CDS 1 2023 (same type asked 8 times) See all 8 of this type
22 $Consider the following statements in respect of all factors of 360 : 1. The number of factors is 24. 2. The sum of all factors is 1170. Which of the above statements is/are correct?$
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Question 5
Number System. Asked once: CDS 1 2019 (same type asked 8 times) See all 8 of this type
87 $3^{98} - 3^{89}$
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Question 1