How many two-digit numbers satisfy this property : The last digit (units digit) of the square of the two-digit number is 8 ?a)1b)2c)3d)None of theseCorrect answer is option 'D'. Can you explain this answer?
Ref: https://edurev.in/question/481399/How-many-two-digit-numbers-satisfy-this-property-The-last-digit-units-digit-of-the-square-of-the-t
A number ending with 88 can never become a perfect square. Let's examine this in detail.
1×1=1
⇒ If units digit of a number is 1, unit digit of its square is 1
2×2=4
⇒ If units digit of a number is 2, unit digit of its square is 4
3×3=9
⇒ If units digit of a number is 3, unit digit of its square is 9
4×4=16
⇒ If units digit of a number is 4, unit digit of its square is 6
5×5=2
⇒ If units digit of a number is 5, unit digit of its square is 5
⇒⇒ If units digit of a number is 6,6, unit digit of its square is 6
7×7=49
⇒⇒ If units digit of a number is 7, unit digit of its square is 9
8×8=64
⇒ If units digit of a number is 8, unit digit of its square is 4
9×9=81
⇒ If units digit of a number is 9,unit digit of its square is 1
0×0=0
⇒ If units digit of a number is 0,unit digit of its square is 0
FAQs on Solution - CAT
| 1. What is the Solution CAT exam? |  |
Ans. The Solution CAT exam is a national level entrance exam conducted for admission into various management programs offered by Solution CAT affiliated institutes in India. It assesses the candidates' aptitude in areas such as English language, quantitative aptitude, data interpretation, and logical reasoning.
| 2. How can I apply for the Solution CAT exam? | |
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| 3. What is the eligibility criteria for the Solution CAT exam? | |
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- Candidates appearing for the final year of their bachelor's degree are also eligible to apply, provided they complete their degree requirements by the time of admission.
| 4. What is the exam pattern for the Solution CAT exam? | |
Ans. The Solution CAT exam consists of three sections: Verbal Ability and Reading Comprehension, Data Interpretation and Logical Reasoning, and Quantitative Ability. The total duration of the exam is 180 minutes, with 60 minutes dedicated to each section. The exam follows a computer-based format, and each correct answer carries three marks, while each incorrect answer leads to a deduction of one mark.
| 5. How can I prepare for the Solution CAT exam? | |
Ans. To prepare for the Solution CAT exam, candidates can follow these tips:
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- Practice previous year question papers and take mock tests to improve time management and assess your preparation level.
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