Given:

Principal: ₹75,000

Rate of interest for the first year: 5%

Rate of interest for the second year: 6%

Rate of interest for the third year: 8%

Concept:

Compound interest is calculated individually for each time period.

Calculation:

⇒ CI for first year = 5/100 × 75000 = ₹3750

⇒ New Principal for second year = 75000 + 3750 = ₹78750

⇒ CI for second year = 6/100 × 78750 = ₹4725

⇒ New Principal for third year = 78750 + 4725 = ₹83475

⇒ CI for third year = 8/100 × 83475 = ₹6678

Therefore, the compound interest for 3 years will be ₹15,153 (i.e., ₹3750 + ₹4725 + ₹6678).

Given:

14 persons can complete 5/12 of a work in 18 days, working 7 hours daily

21 persons need to complete the rest of the work in 15 days

Concept:

M₁D₁H₁/W₁ = M₂D₂H₂/W₂

Solution:

According to question,

If 14 persons complete 5 part of the work then remaining work is 7 part.

(14 × 18 × 7)/5 = (21 × 15 × H)/7

Therefore, they will need to work for approximately  hours daily to complete the rest of the work in 15 days.

Given:

Pipe A can empty the tank in 16 hours

Pipe B can empty the tank in 24 hours

Pipe C can fill the tank in 4 hours

Concept used:

Work = Efficiency × Time

Efficiency ∝ 1/Time

Calculation:

According to the question,

Efficiency of A = -3units/hr

Efficiency of B = -2 units/ hr

Efficiency of C = 12 units/hr

Here negative sign indicates the emptying nature of the pipes.

Total work = 48 units

35% of work = (35/100) × 48 = 16.8 units

Time to fill the tank by A, B, and C together =  16.8/(12 - 3 - 2)

⇒ 16.8/7 = 12/5

Alternate Method 

A's efficiency = 1/16

B's efficiency = 1/24

C's efficiency = 1/4

Total efficiency = 1/4 - 1/24 - 1/16 (pipes A and B are the emptying the tank Hence their efficiency is taken negatively here)

⇒ (12 - 3 - 2)/48 = 7/48

The time taken to fill the 100% tank = 48/7 hrs

Time taken to fill 35% of the tank = 48× 35/(7 × 100) 

⇒ 12/5 hrs

Given:

Sum = ₹5,076

Actual ratio = 3 ∶ 5 ∶ 4

Amount got by A = 5076 × (20/47)

⇒ 2160

Amount got by B = 5076 × (12/47)

⇒ 1296

Amount got by C = 5076 × (15/47)

⇒ 1620

Amount should get by A = 5076 × (3/12)

⇒ 1269

Amount should get by B = 5076 × (5/12)

⇒ 2115

Amount should get by C = 5076 × (4/12)

⇒ 1692

Difference in actual amount of A = 2160 - 1269

⇒ 891 gain

Difference in actual amount of B= 2115 - 1296

⇒ 819 lost

Difference in actual amount of C= 1692 - 1620

⇒ 72 lost

∴ The required answer is Option 3.

Given

Up speed: 3 mph, Down speed: 5 mph

Total time: 10 hours

Concept:

Harmonic mean for two speeds and the time-distance relationship

Calculation:

Therefore, the distance between the hilltop and the foothills is 18.75 miles

The positions of the letters according to the English alphabet series:

The pattern for this is as follows;

Hence, the correct answer is "TCWQG".

Given that:-

29 > 30 $ 5 < 4

• Putting the value on above equation:-

29 + 30 ÷ 5 - 4

• Apply BODMAS rule:-

= 29 + 6 - 4

= 35 - 4

= 31

Hence, "option 3" is the correct answer.

The logic followed here is:-

• The wrist is the ending joint of the arm whereas the shoulder is the beginning joint of the arm

Similarly,

• The ankle is the ending joint of the arm whereas the hip is the beginning joint of the leg

Hence, "option 1" is the correct answer.

Additional Information

Joints:

• Joints are where two bones meet.
• They make the skeleton flexible — without them, movement would be impossible.

Joints allow our bodies to move in many ways.

• Some joints open and close like a hinge (such as knees and elbows),
• whereas others allow for more complicated movement — a shoulder or hip joint, for example, allows for backward, forward, sideways, and rotating movement.

Joints are classified by their range of movement:

• Immovable, or fibrous, joints don't move.
• Partially movable, or cartilaginous (pronounced: kar-tuh-LAH-juh-nus), joints move a little.
• Freely movable, or synovial (pronounced: sih-NO-vee-ul), joints move in many directions.

The logic followed here is:-

Hence, "option 4" is the correct answer.

The logic followed here is:-

• Prose and poetry are forms of literature.
• Similarly, conversation and song are forms of vocalization.

Hence, "option 3" is the correct answer.