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Question 71

IB Assistant Central Intelligence Officer (ACIO) 2025• Numerical Aptitude

An item is initially sold at ₹500. Its price is first increased by 20% due to a surge in demand. After that, a 10% festive markdown is applied on the increased price.

Following this, a 5% seasonal discount is applied on the new reduced price. However, before final billing, a service charge of 2% is added on the discounted price, and GST at 12% is levied on the amount after adding the service charge. What is the net change in the final billed price (after all taxes and charges) compared to the original price of ₹500 (correct to 2 decimal place)?

  1. AOption (a)

    ₹86.25

  2. BOption (b)

    ₹76.75

  3. COption (c)

    ₹76.05

  4. DOption (d)

    ₹86.05

View answer & explanation

Correct answer

Answer: (a)A.

₹86.25

Explanation not yet available.

Question 72

IB Assistant Central Intelligence Officer (ACIO) 2025• Numerical Aptitude

A man has invested ₹54,500 at a rate of 12% per annum simple interest for 2 years. Find the amount (in ₹) that he will receive after 2 years.

  1. AOption (a)

    68,580

  2. BOption (b)

    13,080

  3. COption (c)

    14,080

  4. DOption (d)

    67,580

View answer & explanation

Correct answer

Answer: (a)A.

68,580

Explanation not yet available.

Question 73

IB Assistant Central Intelligence Officer (ACIO) 2025• Numerical Aptitude

The cost price of an article is ₹440, and its marked price is ₹660. If the seller allows a 20% discount on the marked price, what will be his profit percentage?

  1. AOption (a)

    21%

  2. BOption (b)

    20%

  3. COption (c)

    17%

  4. DOption (d)

    18%

View answer & explanation

Correct answer

Answer: (a)A.

21%

Explanation not yet available.

Question 74

IB Assistant Central Intelligence Officer (ACIO) 2025• Numerical Aptitude

A student takes 4 subjects in a year, the weights and marks for the first semester is as below.

SubjectWeightsMarks
Math0.385
History0.290
Chemistry0.478
English0.195

In the second semester, the student scored 5 more marks each in Math and Chemistry and 5 less marks each in History and English, the weights remaining the same. What is the overall average for the year?

  1. AOption (a)

    85.7 

  2. BOption (b)

    86.9

  3. COption (c)

    86.3

  4. DOption (d)

    85.2

View answer & explanation

Correct answer

Answer: (a)A.

85.7 

Explanation not yet available.

Question 75

IB Assistant Central Intelligence Officer (ACIO) 2025• Numerical Aptitude

Boat A starts from point P and travels downstream to point Q at a speed of 10 km/hr in still water. The stream speed is 3 km/hr. After 2 hours, Boat B starts from the same point P, going downstream toward Q at 12 km/hr in still water. Once Boat A reaches point Q, it immediately turns back and starts returning upstream. Boat B continues downstream. If both boats meet 6 hours after Boat B started, and the meeting happens during Boat A's return journey, then the distance between P and Q is:

  1. AOption (a)

    93.9 km

  2. BOption (b)

    94.6 km

  3. COption (c)

    94.9 km

  4. DOption (d)

    93.6 km

View answer & explanation

Correct answer

Answer: (a)A.

93.9 km

Explanation not yet available.

Question 76

IB Assistant Central Intelligence Officer (ACIO) 2025• Numerical Aptitude

A bus travelling at 40 km/hr completes a journey in 18 hours. At what speed will it have to cover the same distance in 16 hours?

  1. AOption (a)

    46 km/hr

  2. BOption (b)

    45 km/hr

  3. COption (c)

    48 km/hr

  4. DOption (d)

    47 km/hr

View answer & explanation

Correct answer

Answer: (a)A.

46 km/hr

Explanation not yet available.

Question 77

IB Assistant Central Intelligence Officer (ACIO) 2025• Numerical Aptitude

A person borrows ₹63,500 at 10% compound interest per year, compounded annually. At the end of every year, he pays ₹5,800 as part payment. How much does he still owe after two such instalments?

  1. AOption (a)

    ₹64,655

  2. BOption (b)

    ₹64,765

  3. COption (c)

    ₹64,775

  4. DOption (d)

    ₹64,692

View answer & explanation

Correct answer

Answer: (a)A.

₹64,655

Explanation not yet available.

Question 78

IB Assistant Central Intelligence Officer (ACIO) 2025• Numerical Aptitude

David gets a 5% increase in his sale amount in the first year and a 25% increase in the second year, and with that his present sale is ₹1,68,000. What was his sale (in ₹) two years ago?

  1. AOption (a)

    1,34,400

  2. BOption (b)

    1,60,000

  3. COption (c)

    1,28,000

  4. DOption (d)

    1,08,000

View answer & explanation

Correct answer

Answer: (a)A.

1,34,400

Explanation not yet available.

Question 79

IB Assistant Central Intelligence Officer (ACIO) 2025• Numerical Aptitude

If 128 : y :: y : 8, find the positive value of y.

  1. AOption (a)

    32

  2. BOption (b)

    33

  3. COption (c)

    36

  4. DOption (d)

    28

View answer & explanation

Correct answer

Answer: (a)A.

32

Explanation not yet available.

Question 80

IB Assistant Central Intelligence Officer (ACIO) 2025• Numerical Aptitude

To do a certain work, A and B work on alternate days with A beginning the work on the first day. B alone can complete the same work in 84 days. If the work gets completed in 29\(\tfrac{2}{5}\) days, then how much time (in days) would A alone take to complete 2\(\tfrac{9}{10}\) times of the original work?

  1. AOption (a)

    52.5

  2. BOption (b)

    42.7

  3. COption (c)

    44.8

  4. DOption (d)

    56.3

View answer & explanation

Correct answer

Answer: (a)A.

52.5

Explanation not yet available.