Reasoning PYQs

For 'FA' related to 'DW':

For 'PK' related to 'NG':

Applying the same logic to find the first cluster related to 'PA':

Thus, RE is related to PA in the same manner.

Hence, the correct answer is 'Option 1'.

For the set '(AR, CW, EB)':

For the set '(GU, IZ, KE)':

Applying the same logic to 'Option 2' clusters:

Hence, the correct answer is 'Option 2'.

The standard rules for calendar repetition are:

1. If the year is a leap year + 1, it repeats after 6 years.
2. If the year is a leap year + 2, it repeats after 11 years.
3. If the year is a leap year + 3, it repeats after 11 years.
4. If the year is a leap year, it repeats after 28 years.

Calculation:

The given year is 2017.

First, we determine the type of year. We divide the year by 4 to check for leap years:

The year 2016 is a leap year (divisible by 4).

Thus, 2017 = 2016 + 1 (i.e., it is a Leap year + 1).

According to the rule, a Leap year + 1 repeats after 6 years.

Repetition Year = 2017 + 6 = 2023.

Since both 2017 and 2023 are ordinary years, they have identical calendars.

Hence, the correct answer is “Option 2”.

Alternate Method

We can verify the year by counting odd days until the sum is divisible by 7 (

Note:

an ordinary year has 1 odd day and a leap year has 2 odd days):

O dd days in 2017 = 1

Odd days in 2018 = 1

Odd days in 2019 = 1

Odd days in 2020 = 2 (Leap year)

Odd days in 2021 = 1

Odd days in 2022 = 1

Total sum of odd days = 1 + 1 + 1 + 2 + 1 + 1 = 7.

Since the total sum of odd days is 7 (which is a multiple of 7), the next year 2023 will start on the same day as 2017. Because both are ordinary years, the entire calendar will be the same.

Hence, the correct answer is 2023.

5 boys A, B, C, D and E are sitting in a row facing north (not necessarily in the same order).

1. A is second to the left of C.
2. B is to the immediate left of A.
3. D is second to the left of E.

Two boys are sitting between A and E.

Hence, the correct answer is “Option 1”.

7 girls A, B, C, D, E, F and G are sitting in a row facing north (not necessarily in the same order).

1. D sits fifth to the right of A.
2. D does not sit at any of the extreme ends of the row.
3. F sits exactly in the middle of row.
4. Two girls sit between F and B.
5. G is third to the left of E. 

E is sitting at third position from the right end of the row.

Hence, the correct answer is “Option 3”.

Given word: EXTINCTION

(1) NICE → Can be formed as all the letters (N, I, C, E) are present in the given word. (2) TENT → Can be formed as all the letters (T, E, N, T) are present in the given word. The word contains two T's.

(3) TEXTS → Can not be formed as the letter "S" is not present in the given word.

(4) EXIT → Can be formed as all the letters (E, X, I, T) are present in the given word.

Hence, the correct answer is “Option 3”.

Logic followed here is,

218 + 18 = 236

236 + 36 = 272

272 + 54 = 326

326 + 72 = 398

Hence, the correct answer is “Option 2”.

Logic followed here is,

147 + 21 = 168

168 + 21 = 189

189 + 21 = 210

210 + 21 = 231

Hence, the correct answer is “Option 2”.

The logic followed here is,

6 × 4 − 1² = 24 − 1 = 23

23 × 5 − 2² = 115 − 4 = 111

111 × 6 − 3² = 666 − 9 = 657

657 × 7 − 4² = 4599 − 16 = 4583

4583 × 8 − 5² = 36664 − 25 = 36,639

Hence, the correct answer is 'Option 1';

Pattern followed here is,

Similarly,

Hence, the correct answer is “Option 1”.

Pattern followed here is,

Similarly,

Hence, the correct answer is “Option 3”.

JT310 : WM218 →

AT520 : WD428 →

Similarly,

LD620 : ? →

Hence, the correct answer is 'Option 3'.

SP120 : PY180 → 

EB200 : BK300 → 

Similarly,

KP135 : ? → 

Hence, the correct answer is 'Option 1'.

The logic followed here is:

Logic: Second Number = First Number + 43

For the first pair 2458 : 2501

⇒ 2458 + 43 = 2501

Applying the same logic to the second pair

7327 : 7370

⇒ 7327 + 43 = 7370

Applying the same logic to the third pair

7635 : ?

⇒ 7635 + 43 = 7678

Hence, the correct answer is 'Option 2'.

The logic followed here is:

Logic: Second Number = (First Number × 3) − 5

For the first pair 13 : 34

⇒ (13 × 3) − 5

⇒ 39 − 5 = 34.

For the second pair 587 : 1756

⇒ (587 × 3) − 5

⇒ 1761 − 5 = 1756.

Applying the same logic to the third pair

575 : ?

⇒ (575 × 3) − 5

⇒ 1725 − 5 = 1720.

Hence, the correct answer is 'Option 1'.

LOIN is coded as MTHI →

NUTS is coded as OZSN →

Similarly,

let's find the code for DEAF:

Hence, the correct answer is “Option 1”.

Given:

"flowers smell" be coded in that code language as "ta rq".

Hence, the correct answer is “Option 4”.

Pattern followed here is,

Hence, the correct answer is “Option 2”.

At 2:00 PM, the minute hand is at the 12 o clock position (0°), and the hour hand is at the 2 o clock position.

The angle covered by the hour hand at 2:00 = 2 × 30° = 60°.

For the hands to be at an angle of 90 degrees, the minute hand must first cover the initial 60° gap to catch up with the hour hand and then move an additional 90° ahead of it.

Total relative angular distance to be covered = 60° + 90° = 150°.

Time taken = Distance ÷ Relative speed

Time = 150 ÷ 5.5 ≈ 27.27 minutes.

Rounding to the nearest whole number, the time taken is approximately 27 minutes.

Hence, the correct answer is “Option 1”.

Alternate Method

The angle between the hour hand and minute hand is given by the formula:

Angle = \(|60H - 11M| \over 2\)

Where H = hours and M = minutes.

Given H = 2 and Angle = 90°:

90 = \(|60 \times 2 - 11M| \over 2\)

180 = |120 − 11M|

To find the time after the hands have crossed each other (since 120 − 11M = 90 would give a negative value for M):

180 = 11M − 120

11M = 180 + 120

11M = 300

M = 300 ÷ 11 ≈ 27.27 minutes.

The approximate time is 27 minutes.

Hence, the correct answer is “Option 1”.

Given initial time = 9:00 AM

Given final time = 3:00 PM

Total time interval from 9:00 AM to 3:00 PM = 6 hours

Clock status at 9:00 AM = 3 minutes slow (−3 min)

Clock status at 3:00 PM = 7 minutes fast (+7 min)

Total gain in 6 hours = 7 − (−3) = 10 minutes

The clock gains 10 minutes in 6 hours.

To show the correct time, the clock must gain the initial lag of 3 minutes.

Time taken to gain 10 minutes = 6 hours

Time taken to gain 1 minute = 6 / 10 hours

Time taken to gain 3 minutes = (6 / 10) × 3 hours

Time = 18 / 10 hours = 1.8 hours

Converting 1.8 hours into minutes:

1.8 hours = 1 hour + 0.8 × 60 minutes

1.8 hours = 1 hour + 48 minutes

The clock shows the correct time 1 hour and 48 minutes after 9:00 AM.

Correct time = 9:00 AM + 1 hour 48 minutes = 10:48 AM

Hence, the correct answer is “Option 2”.