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Question 61

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

The number 706705 is divisible by which of the following?

  1. AOption (a)

    15

  2. BOption (b)

    10

  3. COption (c)

    5

  4. DOption (d)

    13

View answer & explanation

Correct answer

Answer: (a)A.

15

Explanation not yet available.

Question 62

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

A company offers the following different types of discount schemes.

Two successive discounts of 40% and 30% on cash payment.

Buy 5 get 3 free.

Buy 8 get 5 free.

Buy 4 get 6.

What is the average discount (rounded to two decimal places) of all the four schemes?

  1. AOption (a)

    39.75%

  2. BOption (b)

    41.82%

  3. COption (c)

    45.36%

  4. DOption (d)

    36.89%

View answer & explanation

Correct answer

Answer: (a)A.

39.75%

Explanation not yet available.

Question 63

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

Simplify the given expression. \(\frac{27}{216}^\frac{2}{3} × \frac{512}{729}^{-\frac{2}{3}} ÷ \frac{2}{7}^{-2}\)

  1. AOption (a)

  2. BOption (b)

  3. COption (c)

  4. DOption (d)

View answer & explanation

Correct answer

Answer: (a)A.
Explanation not yet available.

Question 64

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

A pipe can fill a tank in 24 hours. Another pipe can empty the filled tank in 28 hours. If both the pipes are opened simultaneously, then the time (in hours) in which the tank will be filled two-third is:

  1. AOption (a)

    112

  2. BOption (b)

    336

  3. COption (c)

    224

  4. DOption (d)

    448

View answer & explanation

Correct answer

Answer: (a)A.

112

Explanation not yet available.

Question 65

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

The sum of the present ages of A, B and C is 283 years. 17 years ago from now, the ratio of their ages was 10 : 8 : 11. What is the present age of C (in years)?

  1. AOption (a)

    108

  2. BOption (b)

    105

  3. COption (c)

    104

  4. DOption (d)

    106

View answer & explanation

Correct answer

Answer: (a)A.

108

Explanation not yet available.

Question 66

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

Five consecutive prime numbers A, B, C, D and E are in ascending order. If product of A × C × E = 1729 and product of B × C × D = 2431, find the next prime number to E.

  1. AOption (a)

    29

  2. BOption (b)

    23

  3. COption (c)

    19

  4. DOption (d)

    31

View answer & explanation

Correct answer

Answer: (a)A.

29

Explanation not yet available.

Question 67

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

The cost of 3 pens and 7 pencils is ₹84 and the cost of 8 pens and 3 pencils is ₹177. The cost of 3 pens and 3 pencils is:

  1. AOption (a)

    ₹75

  2. BOption (b)

    ₹77

  3. COption (c)

    ₹72

  4. DOption (d)

    ₹70

View answer & explanation

Correct answer

Answer: (a)A.

₹75

Explanation not yet available.

Question 68

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

Solve the equations to find the value of x, y and z.

2x + y + 4z = 8

2x + y + 3z = 14

2x + 3y + 4z = 12

  1. AOption (a)

    x = -15, y = 2, z = -6

  2. BOption (b)

    x = 15, y = 2, z = -6

  3. COption (c)

    x = 5, y = 2, z = -6

  4. DOption (d)

    x = 15, y = -2, z = -6

View answer & explanation

Correct answer

Answer: (a)A.

x = -15, y = 2, z = -6

Explanation not yet available.

Question 69

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

In a mixture of 120 litres of milk and water, the ratio of milk to water is 2: 3. From this mixture, 40 litres is taken out and replaced with milk. This process is continued one more time. Find the quantity of milk (in litres) in the final mixture.

  1. AOption (a)

    68

  2. BOption (b)

    78

  3. COption (c)

    58

  4. DOption (d)

    88

View answer & explanation

Correct answer

Answer: (a)A.

68

Explanation not yet available.

Question 70

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

A man buys 9 identical articles for a total of ₹18. If he sells each of them for ₹2.9, his profit percentage will be ________ %.

  1. AOption (a)

    31.03

  2. BOption (b)

    45

  3. COption (c)

    32.03

  4. DOption (d)

    46

View answer & explanation

Correct answer

Answer: (a)A.

31.03

Explanation not yet available.