AptiDose 1.0 - Vol IV

Crack the code—can you make every number equal 6? Fortnightly dose of aptitude questions, logical challenges and essential prep tips!

Brain Booster

Make each equation true using the following mathematical operations:
Addition, Subtraction, Multiplication, Division, Square Root, Factorial.

The equations are:

0 0 0 = 6
1 1 1 = 6
2 2 2 = 6
3 3 3 = 6
4 4 4 = 6
5 5 5 = 6
6 6 6 = 6
7 7 7 = 6
8 8 8 = 6
9 9 9 = 6
10 10 10 = 6

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Logic Lane

This morning, Aditya watched five reports (including the traffic report), each of which is aired at a different time (8:13 AM, 8:17 AM, 8:19 AM, 8:23 AM, or 8:25 AM) and was presented by a different correspondent (Aman, Barjinder, Candy, Jasmeet or Mandy). From the information provided, determine the correspondent (identified by first and last names – two surnames are Caur and Mann) who delivered the report at each time.

1. No correspondent has the same first-and last – name initial. The first correspondent Aditya watched is surnamed Jha.

2. Mandy (who delivered the last report that Aditya watched) and the person surnamed Alag delivered the business and health reports, in same order.

3. Jasmeet’s last-name initial is the same letter as the first-name initial of the weather reporter surnamed Bhullar (who wasn’t on the air at 8:23 AM). Jasmeet gave a report exactly two minutes after another report.

4. The correspondent who gave the sports report shares one initial with the business reporter and the other initial with the reporter who was on air at 7:19 AM.

   Find the complete answer at the end of the newsletter.

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Magic Math

Multiplication by 12
Step: Proceed from right to left, double each digit in turn, and add to its neighbour on the right
Note: 1st digit is doubled and written down as such; the left most digit is considered as 0, which when doubled is 0 and then added to the neighbour on the right to get the left most digit of the answer

Example: 314*12 =?
First digit on right is 4, which is doubled to get 8; next digit is 1, which is doubled to get 2 and then added to 4 to get 6; next digit is 3, which is doubled to get 6 and then added to 1 to get 7; last digit is taken as 0, which is doubled to get 0, and then added to 3 to get 3
Answer = 3768

Can you find out, what is:

\(31846524*12=? \)

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Quotable Quotes - Self Awareness

“Live as if you were to die tomorrow. Learn as if you were to live forever.”
― Mahatma Gandhi

“Wisdom is not a product of schooling but of the lifelong attempt to acquire it.”
― Albert Einstein

“Learning is not attained by chance. It must be sought for with ardour and attended with diligence.”
― Abigail Adams

Learning to Learn

Tao Yuanming was a poet and a knowledgeable scholar who lived in the Dong Jin Dynasty. A young man once asked him, “What’s the best way to learn?” Tao Yuanming replied, “There is no best way. If you work hard, you will make progress. And if you don’t, you will lag behind.” He pointed at a small sprout in a field and said to the young man, “Can you see that it is growing?” The young man stared at it for a long time and said, “I cannot see it growing.” Tao Yuanming asked, “Then how could a little sprout become so tall later on if it is not growing?” He continued, “It is growing every moment but, we cannot see it with our eyes. It absorbs water and sunlight everyday to grow bit by bit. Similarly, our knowledge accumulates little by little. Sometimes we may not even realize it. But if we keep learning consistently, we will surely make progress.”

The key to learning lies in the will to work hard and perseverance.

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Answers:

Brain Booster

(0!+0!+0!)!= 6
(1+1+1)!= 6
2+2+2 = 6
3*3-3 = 6
√4+√4+√4 = 6
5+5/5 = 6
6+6-6 = 6
7-7/7 = 6
(√(8+8/8)! = 6
√9*√9-√9 = 6
(√((10-10/10))! = 6
Note: n! = n*(n-1)*(n-2)*…..3*2*!

Logic Lane

The reporter surnamed Jha delivered the 8:13 AM report (1).
The reporter surnamed Bhullar delivered the weather report (3).
Mandy, who delivered the 8:25 AM report (2), isn’t surnamed Mann (1), Alag, or Bhullar, which is the surname of the weather reporter (2); thus Mandy is surnamed as Caur.
Jasmeet isn’t surnamed Jha (1), Bhullar, or Mann(3); so Jasmeet is surnamed Alag, hence the reporter surnamed Bhullar is Aman (3).
Jasmeet Alag’s report wasn’t at 8:17 AM  or 8:23 AM (3); it was at 8:19 AM, so the sports reporter is surnamed Jha (4).
Jasmeet Alag gave the8:19 AM report, so the sports reporter surnamed Jhai isn’t Barjinder (4); that reporter is Candy, so Mandy Caur gave the business report (4), and Jasmeet Alag gave the health report (2).
Barjinder is surnamed Mann and gave the traffic report.
Aman Bhullar’s report wasn’t at 8:23 AM (3); it was at 8:17 AM.
Barjinder’s report was at 8:23 AM.

In summary,

8:13 AM – Candy Jha- Sports
8:17 AM – Aman Bhullar – Weather
8:19 AM – Jasmeet Alag – Health
8:23 Am – Barjinder Mann – Traffic
8:25 AM – Mandy Caur – Business

Magic Math

31846524*12=?

First digit on right is 4, which is doubled to get 8; next digit is 2, which is doubled to get 4 and then added to 4 to get 8; next digit is 5, which is doubled to get 10 and then added to 2 to get 12, 2 is written as such and 1 is carried forward (CF); next digit is 6, which is doubled to get 12 and 1 that was CF is added to get 13, which is added to 5 to get 18, 8 is written and is CF; next digit is 4, which is doubled to get 8 and 1 that was CF is added to get 9, which is added to 6 to get 15, 5 is written and 1 is CF; next digit is 8, which is doubled to get 16 and 1 that was CF is added to get 17, which is added to 4 to get 21, 1 is written and 2 is CF; next digit is 1, which is doubled to get 2 and 2 that was CF is added to get 4, which is added to 8 to get 12, 2 is written and 1 is CF; next digit is 3, which is doubled to get 6 and 1 that was CF is added to get 7, which is added to 1 to get 8; last digit is taken as 0, which is doubled to get 0, and then added to 3 to get 3
Answer = 382158288