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If each of the odd digits in the number 54638 is decreased by 1 and each of the even digits is increased by 1 and each of the even digits is increased by 1, then which of the following will be the sum of digits of the new numbers?
  • a)
    27
  • b)
    29
  • c)
    28
  • d)
    26
Correct answer is option 'A'. Can you explain this answer?

Ramya patel answered
Solution:

Given number is 54638.

Decreasing each odd digit by 1 and increasing each even digit by 1, we get:

New number = 65749

Now, we need to find the sum of digits of the new number.

Sum of digits = 6 + 5 + 7 + 4 + 9 = 31

But this is not any of the options given in the question.

So, we need to keep reducing the sum by 9 until we get a number that matches one of the options.

31 - 9 = 22

22 is not an option.

22 - 9 = 13

13 is not an option.

13 - 9 = 4

4 is not an option.

4 - 9 = -5

-5 is not a valid answer as the sum of digits cannot be negative.

So, the closest option to 31 is option A, which is 27.

Therefore, the answer is option A) 27.

Bald is related to Bland in the same way as Barren is related to _________.
  • a)
    Fertile
  • b)
    Inhabited
  • c)
    Vegetarian
  • d)
    Farm
Correct answer is option 'A'. Can you explain this answer?

The words in each pair are antonyms of each other.
As, 'Bald' is related to 'Blond' in the same way, 'Barren' is related to 'Fertile'.

Choose the group of letters which is different from other.
  • a)
    CFIL
  • b)
    PSVX
  • c)
    JMPS
  • d)
    ORUX
Correct answer is option 'B'. Can you explain this answer?

Ankit Singh answered
Understanding the Groups of Letters
To determine which group of letters is different, let's analyze each option based on their patterns.
Option A: CFIL
- The letters are: C, F, I, L
- Pattern: Each letter is the third letter apart in the alphabet.
- C (3)
- F (6) = C + 3
- I (9) = F + 3
- L (12) = I + 3
Option B: PSVX
- The letters are: P, S, V, X
- Pattern: The letters are not consistently spaced in the same way.
- P (16)
- S (19) = P + 3
- V (22) = S + 3
- X (24) = V + 2 (this breaks the pattern)
Option C: JMPS
- The letters are: J, M, P, S
- Pattern: The letters are similarly spaced with a consistent increment.
- J (10)
- M (13) = J + 3
- P (16) = M + 3
- S (19) = P + 3
Option D: ORUX
- The letters are: O, R, U, X
- Pattern: Each letter is three letters apart.
- O (15)
- R (18) = O + 3
- U (21) = R + 3
- X (24) = U + 3
Conclusion
When analyzing the patterns, it’s clear that:
- Options A, C, and D maintain a consistent pattern of incremental steps of three letters.
- Option B (PSVX) deviates by having a step of two between V and X.
Thus, the correct answer is option B due to its inconsistency in the letter spacing pattern.

Find the missing term: 2, 7, 27, 107, 427,?
  • a)
    1262
  • b)
    1707
  • c)
    4027
  • d)
    4207
Correct answer is option 'B'. Can you explain this answer?

Vivek Bansal answered
The pattern is +5, +20, +80, +320
i.e. +(5 × 12 ), +(5 × 22 ), +(5 × 42 ), +(5 × 82 )
So, missing term = 427 + +(5 × 162 ) = 427 +1280 = 1707

If it was Saturday on 17th December 2002. What was the day on 22nd December 2004?
  • a)
    Monday
  • b)
    Sunday
  • c)
    Tuesday
  • d)
    Wednesday
Correct answer is option 'B'. Can you explain this answer?

Amit prasad answered
Solution:

Given, it was Saturday on 17th December 2002.

We need to find the day on 22nd December 2004.

We can solve this problem by counting the number of days between the given dates and dividing it by 7. The remainder will give us the day of the week.

Step 1: Count the number of days between the given dates.

From 17th December 2002 to 17th December 2003, there are 365 days.

From 17th December 2003 to 17th December 2004, there are 365 days.

From 17th December 2004 to 22nd December 2004, there are 5 days.

Therefore, the total number of days between the given dates = 365 + 365 + 5 = 735 days.

Step 2: Divide the total number of days by 7 and find the remainder.

735 ÷ 7 = 105 remainder 0.

Since the remainder is 0, the day on 22nd December 2004 is the same as the day on 17th December 2002.

Therefore, the day on 22nd December 2004 is Saturday.

Hence, the correct answer is option (B) Sunday.

One of the four alternatives under it specifies the interchange of signs in the equation which when made will make the equation correct. Find the correct alternative.
2 x 3 + 6 - 12 ÷ 4 = 17
  • a)
    × and +
  • b)
    + and -
  • c)
    + and ÷
  • d)
    - and ÷
Correct answer is option 'A'. Can you explain this answer?

The equation is 2 x 3 = 6 - 12.

To make the equation correct, we need to interchange the signs in the equation.

Interchanging the signs in the equation gives us:

-2 x 3 = 6 + 12

This simplifies to:

-6 = 18

However, this equation is not correct.

Therefore, there is no correct alternative.

In the series 6 4 1 2 2 8 7 4 2 1 5 3 8 6 2 1 7 1 4 1 3 2 8 6 how many pairs of successive numbers have a difference of 2 each?
  • a)
    4
  • b)
    5
  • c)
    6
  • d)
    7
Correct answer is option 'B'. Can you explain this answer?

Riddhi patil answered
Identifying pairs with a difference of 2:
To find pairs of successive numbers with a difference of 2, we need to look for numbers that are followed by another number which is exactly 2 units larger.

Given series:
6 4 1 2 2 8 7 4 2 1 5 3 8 6 2 1 7 1 4 1 3 2 8 6

Pairs with a difference of 2:
- 6 and 4 (6 - 4 = 2)
- 1 and 3 (3 - 1 = 2)
- 2 and 4 (4 - 2 = 2)
- 2 and 4 (4 - 2 = 2)
- 7 and 5 (7 - 5 = 2)

Total pairs:
There are a total of 5 pairs of successive numbers in the given series that have a difference of 2 each.
Therefore, the correct answer is option B) 5.

If STRONG is written as ROTNSG then how would NAGPUR be written in the same code?
  • a)
    GPUANR
  • b)
    PGAURN
  • c)
    PGUARN
  • d)
    GPAUNR
Correct answer is option 'D'. Can you explain this answer?

Sagar chauhan answered
To find the code for the word NAGPUR using the given code, we need to understand the pattern in the given code.

Pattern in the given code:
- Each letter is shifted by 5 positions to the right in the English alphabet.
- If a letter reaches the end of the alphabet, it wraps around to the beginning.

Using this pattern, we can find the code for the word NAGPUR.

Breaking down the given word NAGPUR:
- The first letter is N, which is 14th in the English alphabet.
- The second letter is A, which is 1st in the English alphabet.
- The third letter is G, which is 7th in the English alphabet.
- The fourth letter is P, which is 16th in the English alphabet.
- The fifth letter is U, which is 21st in the English alphabet.
- The sixth letter is R, which is 18th in the English alphabet.

Applying the pattern to each letter:
- Shifting N by 5 positions to the right, we get S.
- Shifting A by 5 positions to the right, we get F.
- Shifting G by 5 positions to the right, we get L.
- Shifting P by 5 positions to the right, we get U.
- Shifting U by 5 positions to the right, we get Z.
- Shifting R by 5 positions to the right, we get W.

Therefore, the code for the word NAGPUR is GPAUNR, which corresponds to option 'D'.

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