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Question 581

IB Security Assistant 2023• Quantitative Aptitude

The area of the base of a cuboidal tank is 8400 square centimetres and the volume of petrol contained in it is 10.2 cubic metres. Find the depth of petrol in the tank (correct up to one decimal place).

  1. AOption (a)

    1300.4 cm

  2. BOption (b)

    1843.2 cm

  3. COption (c)

    900.2 cm

  4. DOption (d)

    1214.3 cm

View answer & explanation

Correct answer

Answer: (a)A.

1300.4 cm

Explanation not yet available.

Question 582

IB Security Assistant 2023• Quantitative Aptitude

Surendra has a property having a certain value. He gives 60% of his property to his wife, 75% of the remaining property to his daughter, and the rest to a trust. If he gives property worth ₹6,00,000 to the trust, find the worth of the share of the property he gives to his daughter.

  1. AOption (a)

    ₹10,00,000

  2. BOption (b)

    ₹15,20,000

  3. COption (c)

    ₹15,00,000

  4. DOption (d)

    ₹18,00,000

View answer & explanation

Correct answer

Answer: (a)A.

₹10,00,000

Explanation not yet available.

Question 583

IB Security Assistant 2023• Quantitative Aptitude

Two trains are running in opposite directions. They cross a man standing on a platform in 28 seconds and 10 seconds. respectively. They cross each other in 24 seconds. What is the ratio of their speeds?

  1. AOption (a)

    7 ∶ 2

  2. BOption (b)

    9 ∶ 2

  3. COption (c)

    1 ∶ 9

  4. DOption (d)

    4 ∶ 5

View answer & explanation

Correct answer

Answer: (a)A.

7 ∶ 2

Explanation not yet available.

Question 584

IB Security Assistant 2023• Quantitative Aptitude

What is the compound interest on a sum of Rs. 15,000 at 18% p.a. for 3243 \frac{2}{4} years, interest compounded annually? (Round off your answer to the nearest integer.)

  1. AOption (a)

    ₹10,486

  2. BOption (b)

    ₹11,084

  3. COption (c)

    ₹11,864

  4. DOption (d)

    ₹10,264

View answer & explanation

Correct answer

Answer: (a)A.

₹10,486

Explanation not yet available.

Question 585

IB Security Assistant 2023• Quantitative Aptitude

Solutions A and B contain acid to water in the ratio 4 ∶ 5 and 5 ∶ 7, respectively. Three litres of A is mixed with 5 litres of B. In 960 ml of this solution, how much acid (in ml) should be mixed so that the ratio of acid to water becomes 1 ∶ 1 in the resulting solution?

  1. AOption (a)

    144

  2. BOption (b)

    136

  3. COption (c)

    140

  4. DOption (d)

    130

View answer & explanation

Correct answer

Answer: (a)A.

144

Explanation not yet available.

Question 586

IB Security Assistant 2023• Quantitative Aptitude

The marked price of an item is ₹1,900. The shopkeeper was offering it for a discount of 12% but on further bargaining agreed to offer a successive discount and finally he sold the item for ₹1,538.24. What was the second discount offered by him?

  1. AOption (a)

    15%

  2. BOption (b)

    10%

  3. COption (c)

    12%

  4. DOption (d)

    8%

View answer & explanation

Correct answer

Answer: (a)A.

15%

Explanation not yet available.

Question 587

IB Security Assistant 2023• Quantitative Aptitude

Evaluate the following:

0.000000814−0.000002564+625\sqrt[4]{0.00000081}-\sqrt[4]{0.00000256}+\sqrt{625}

  1. AOption (a)

    22.56

  2. BOption (b)

    24.99

  3. COption (c)

    25.63

  4. DOption (d)

    21.51

View answer & explanation

Correct answer

Answer: (a)A.

22.56

Explanation not yet available.

Question 588

IB Security Assistant 2023• Quantitative Aptitude

A bus has to travel from A to B. The bus covers the first one-third of the distance at 25 km/h and the next one-fourth of the distance at 30 km/h. For the rest of the journey, the bus travels at 50 km/h. The average speed of the bus (in km/h) for the entire journey is ______.

  1. AOption (a)

    33

  2. BOption (b)

    371237 \frac{1}{2}

  3. COption (c)

    331333\frac{1}{3}

  4. DOption (d)

    35

View answer & explanation

Correct answer

Answer: (a)A.

33

Explanation not yet available.

Question 589

IB Security Assistant 2023• Quantitative Aptitude

Simplify the following.

234156÷78×(13+14)+57÷34 of 37\frac{2 \frac{3}{4}}{1 \frac{5}{6}} \div \frac{7}{8} \times\left(\frac{1}{3}+\frac{1}{4}\right)+\frac{5}{7} \div \frac{3}{4} \text { of } \frac{3}{7}

  1. AOption (a)

    299\frac{29}{9}

  2. BOption (b)

    29 \frac{2}{9}

  3. COption (c)

    4980\frac{49}{80}

  4. DOption (d)

    5677 \frac{56}{77}

View answer & explanation

Correct answer

Answer: (a)A.

299\frac{29}{9}

Explanation not yet available.

Question 590

IB Security Assistant 2023• Quantitative Aptitude

The sum of all 4 - digit numbers which are divisible by both 3 and 5 is ______.

  1. AOption (a)

    3192500

  2. BOption (b)

    3095800

  3. COption (c)

    3295800

  4. DOption (d)

    3298500

View answer & explanation

Correct answer

Answer: (a)A.

3192500

Explanation not yet available.