Important questions of quantitative aptitude (CAT 2021)

Cat quantitative

1.In a local shop, as part of promotional measures, the shop owner sells three different varieties of soap,
one at a loss of 13 percent, another at a profit of
23 percent and the third one at a loss of 26 percent.
Assuming that the shop owner sells all three varieties
of soap at the same price, the approximate percentage by which average cost price is lower or higher than
the selling price is
(IIFT 2016)
(a) 10.5 higher
(b) 12.5 lower
(c) 14.5 lower
(d) 8.5 higher

  1. In the marketing management course of an MBA
    programme, you and your roommate can complete
    an assignment in 30 days. If you are twice as efficient as your roommate, the time required by each
    to complete the assignment individually is
    (IIFT 2016)
    (a) 45 days and 90 days
    (b) 30 days and 60 days
    (c) 40 days and 120 days
    (d) 45 days and 135 days
  2. Swarn a SME enterprise borrowed a sum of money
    from a nationalized bank at 10% simple interest per
    annum and the same amount at 8% simple interest
    per annum from a microfinance firm for the same
    period. It cleared the first loan 6 months before the
    scheduled date of repayment and repaid the second
    loan just at the end of the scheduled period. If in
    each case it had to pay 62100 as amount then how
    much money and for what time period did it borrow?
    (IIFT 2017)
    (a) 55750, 2 years
    (b) 52500, 2 years
    (c) 51750, 2.5 years
    (d) 55750, 2.5 years
  3. Somesh, Tarun and Nikhil can complete a work separately in 45, 60 and 75 days. They started the work together but Nikhil left after 5 days of start and Somesh left 2 days before the completion of the work.
    In how many days will the work be completed?
    (IIFT 2017)
    (a) 25 (1/7)
    (b) 50(1/7)
    (c) 35 (5/7)
    (d) 40(5/7)

5.A Pharmaceutical company produces two chemicals X and Y, such that X consists of 5% salt A and 10% salt B and Y consists of 10% salt A and 6% salt B. For producing the chemicals X and Y, the company requires at least 7 gm of Salt A and at least 7 gm of Salt B. If chemical X costs *10.50 per gm and
chemical Y costs 7.80 per gm, what is the minimum
cost at which the company can meet the requirement
by using a combination of both types of chemicals?
(IIFT 2017)
(a) 810
(c) 537
(b) 850
(d) None