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Hemant Pandey

- 3 min

What are the most underrated things in life?

Power of consistent hard work and efforts “I start early and I stay late, day after day, year after year, it took me 17 years and 114 days to become an overnight success.” Lionel Messi Our minds are hardwired to improve and learn slowly. You crawl, then walk and later run.The 1,000-hour rule. Multiple studies have demonstrated the effectiveness of regular and consistent practice. You want to get better in cricket. Go and start playing 10 hours per day for next 3 years. Find y

Hemant Pandey

- 1 min

6 ways to expand knowledge apart from reading books

Apply your knowledge. Knowing is never enough. More you apply better you get. Make notes from books. Revise like exams. One reading is never enough. Every time I reread any book, I get a new insight. We pick only those things which are necessary for our immediate survival. As life progresses our challenges change and hence we need better insight. Activity and traveling are always helpful in getting more practical knowledge. Writing your thoughts out always helps. Introspectio

Hemant Pandey

- 2 min

ABCD*4=DCBA. What are the values of A,B, C and D?

I will try to solve this problem in least number of complex mathematical steps possible. I will not use any maths greater than grade 8. ABCD*4 = DCBA implies A must be less than 3 since A is at 1000s place and 3*4 = 12, which makes the given number a five digit number. Thus A can be 1 or 2. Since DCBA is a multiple of 4 it implies that A must be even and hence A is 2. A is 2 again implies D must be 8 or 9. (D cannot be less than 8 since it is at the 1000s place of DCBA, which

Hemant Pandey

- 1 min

What is the interval of a for which the equation ||x-2|+a|=4 can have four distinct solutions for x?

There are two solutions or no solutions. If we take ‘a’ as positive then two solutions are for a < 4. Similarly two solutions when ‘a’ < -4. There are two ways to solve the problem. Refer images for the same. Long Answer Short answer Last line says : Similar results when a < -4. What is the remainder when the digit 111,111 up to 124 terms is divided by 271? #graphs #functions #modulusfunctions #HemantPandey #personaltouchacademy

Hemant Pandey

- 1 min

What is the remainder when the digit 111,111 up to 124 terms is divided by 271?

The basic concept employed in this solution is that 100,000 divided by 271 leaves remainder as 1. Hence all the terms having powers greater than 5 or multiples of 5 are giving only remainder as 1 multiplied by corresponding coefficients. For example remainder when 10^11 is divided by 271 = 1*10 = 10, since 10^10 will give remainder as 1 only. This simplifies the problem. Refer attached image for full solution. #Maths #Remainder #basicarithematic

Hemant Pandey

- 1 min

Fresh fruits contain 80% water, and dry fruits contain 15% water. How much dry fruits can be obtaine

Fresh fruit = Real Dry fruit (No water) + Water Dry Fruit = Real Dry Fruit + Water Hence 1 KG of Fresh Fruit = 200 grams of real dry fruit ( We counted water content of both fruit + Dry fruit). Now 1000 grams of dry fruit has 15% water i.e. 150 grams of water. Hence 1000 grams dry fruit has 850 grams of real dry fruit. Thus 100 grams of real dry fruit is obtained from = (1000/850)*100 = 117.64 grams of dry fruit. Hence dry fruit obtained = 68*0.2*1.1764 = 15.999 KG End Note :