HEC USAT-A (Arts & Humanities) Quantitative Reasoning: Past Papers MCQs with Answers

Practise HEC USAT-A (Arts & Humanities) Quantitative Reasoning past papers MCQs in sets of about 20 questions with instant answers and explanations. This pag…

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HEC USAT-A (Arts & Humanities) Quantitative Reasoning Past Papers sample MCQs

  1. Q1. In a company, 60% of the employees are men, of these 40 % are drawing more than Rs. 50000 per year. 36% of the total employees of the company draw more than Rs. 50000 per year then what is the percentage of women who are drawing less than Rs. 50000

    • A) 70%
    • B) 60%
    • C) 40%
    • D) 30%

    Answer: 70%

  2. Q2. A milkman adds 10 litres of water to 10 litres of milk. His son takes 15 litres of this mixture and adds 5 litres of water to it. What is the amount of water, in litres, in the final mixture?

    • A) 11
    • B) 11.5
    • C) 12
    • D) 12.5

    Answer: 12.5

  3. Q3. P is 30% more efficient than Q. P can complete the work in 23 days. If P and Q work together, how much time will it take to complete the same work?

    • A) 9 days
    • B) 11 days
    • C) 23 days
    • D) 13 days

    Answer: 13 days

  4. Q4. A man is standing upside down with his face towards the south. Where will his left hand point?

    • A) East
    • B) West
    • C) North
    • D) South

    Answer: East

  5. Q5. P, Q and R can complete a work in 24, 6 and 12 days respectively. The work will be completed in________days if all of them are working together.

    • A) 2
    • B) 3 3⁄7
    • C) 4 ¼
    • D) 5

    Answer: 3 3⁄7

  6. Q6. A vehicle covers 240 km in 4 hours. What is its speed?

    • A) 50 km/h
    • B) 55 km/h
    • C) 60 km/h
    • D) 65 km/h

    Answer: 60 km/h

  7. Q7. The average of 6 numbers is 15. A seventh number is added and the new average becomes 16. What is the seventh number?

    • A) 18
    • B) 20
    • C) 22
    • D) 24

    Answer: 22

  8. Q8. What is the perimeter of a rectangle with length 15 cm and width 10 cm?

    • A) 40 cm
    • B) 45 cm
    • C) 50 cm
    • D) 60 cm

    Answer: 50 cm

  9. Q9. If 3x = 18, what is the value of 5x?

    • A) 24
    • B) 27
    • C) 30
    • D) 36

    Answer: 30

  10. Q10. If y% of x is 29 then value of y is:

    • A) 29
    • B) xy/100
    • C) 2900/x
    • D) 29y

    Answer: 2900/x

  11. Q11. Which statement about integers is correct?

    • A) Every integer can be written as that integer divided by 1
    • B) Every nonzero integer has a reciprocal that is also an integer
    • C) Every integer is a natural number
    • D) The product of two integers is never negative

    Answer: Every integer can be written as that integer divided by 1

  12. Q12. Natural numbers starting at 1 are closed under which operation listed below?

    • A) Subtraction
    • B) Addition
    • C) Division
    • D) Additive inverse

    Answer: Addition

  13. Q13. Nine percent yearly simple interest matches which exact fractional rate before banks round displays?

    • A) Nine tenths
    • B) Nine fifths
    • C) Nine hundredths
    • D) Nine quarters

    Answer: Nine hundredths

  14. Q14. The arithmetic mean of eight twelve twenty six and fourteen equals what kind of number exactly?

    • A) A rational number that is not an integer
    • B) An even integer
    • C) An irrational number
    • D) An odd integer

    Answer: An odd integer

  15. Q15. Which integer lies strictly greater than square root of five and strictly less than cube root of thirty?

    • A) Four
    • B) Six
    • C) Five
    • D) Three

    Answer: Three

  16. Q16. On a loop route one bus returns every 45 minutes and another every 60 minutes. If both leave the terminal together at 6 a.m., after how many minutes will they next leave together?

    • A) 15
    • B) 180
    • C) 90
    • D) 30

    Answer: 180

  17. Q17. The product of two natural numbers is 864 and their HCF is 12. What is their LCM?

    • A) 36
    • B) 72
    • C) 144
    • D) 108

    Answer: 72

  18. Q18. In a cyclic group of infinite order, what is the order of the identity element?

    • A) 1
    • B) 3
    • C) 2
    • D) 7

    Answer: 1

  19. Q19. After allowing a discount of 15% on the marked price, the selling price is Rs. 6800 for an article. If it was sold at marked price, there would have been a profit of 60%. The cost price of the article is?

    • A) Rs. 6400
    • B) Rs. 5600
    • C) Rs. 5000
    • D) Rs. 4800

    Answer: Rs. 5000

  20. Q20. The diagonal of a square is 4√2cm. The diagonal is another square whose area is double that of the first square is__________?

    • A) 8cm
    • B) 8√2cm
    • C) 16cm
    • D) 4√2cm

    Answer: 8cm

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