IIM CAT maths questions: Assess your basic CAT advanced maths knowledge with free CAT quantitative questions

Find the value of
  3 + 4    +   4 + 5    +   5 + 6    + ........ +     11 + 12

3² x 4² 4² x 5² 5² x 6² 11² x 12²

   3/2
   6/48
   13/144
   5/48

Q3.

If 0 < y < 1, then the value of y + 1/y is

   greater than 4
   greater than 2
   less than 2
   less than 4

Q4.

Find the value of
237 45    x 474

237

   112428
   123455
   89123
   112436

Q5.

Village A has a population of 70,000, which is decreasing at the rate of 1000 per year. Village B has a population of 52000, which is increasing at the rate of 400 half yearly. How many years will they take to reach same population

   10
   15
   20
   None of the above

Q6.

In a office of 360 Employees, 2/3 of the employees are men. 1/2 of the women are married and 1/3 of the married women have children. If 3/4 of the men are married and 2/3 of the married men have children, how many workers are without children.

   300
   140
   220
   Data inadequate

Q7.

What can be the maximum value of digits shown by *, so that the sum (873369*98 + 3627*54) is divisible by 3

   2
   9
   5
   7

Q8.

If A is an even number, then the unit digit of A^{4n - 4}, in case n is a positive integer, will always be

   0
   4
   6
   either 0 or 6

Q9.

The number of prime factors of 15¹⁰ x 31³⁷ x 187¹²

   69
   81
   105
   None of the above

Q10.

3⁷¹ + 3⁷² + 3⁷³ is divisible by :

   34
   26
   19
   39

Q11.

16 Men can complete a work in 12 days. 24 Women can complete the same work in 18 days. 12 Men and 8 Women started working and after 8 days 3 more Women joined them. How many days will they now take to complete the remaining work.

   5
   8
   4
   None of the above

Q12.

A worker is paid $40 for 8hrs of work each day. After some time as he was not feeling well, he started working 4hrs (half a day) a day. As he was not able to work for the full day, the employer used to put a fine of $1 for each non working hour. At the end of 30 days he gets $960. How many days he worked for 4hrs

   7
   5
   15
   10

Q13.

If (5A² + 3) / (A + 4) = - 5. What is the value of A in the natural number category

   0
   2
   6
   Cannot be determined

Q14.

A train leaves a city P at 12:00 O' clock morning and reaches city Q at 4:00 A.M.. Another train leaves city Q at 2:00 A.M. and reaches the city P at 5:30 A.M.. At what time do the two trains cross each other

   2:45 AM
   2:56 P.M.
   2:56 A.M.
   3:00 A.M.

Q15.

A train is moving at the speed of 54 kmph. A man sitting in the train observes that a goods train, which is travelling in opposite direction, takes 10 seconds to pass him. If the goods train is 200 m long, find its speed.

   20kmph
   72 kmph
   5 m/s
   None of the above

Q16.

log (c²/ab) + log(b²/ca) + log (a²/bc) is equal to

   1
   2/3
   0
   None of the above

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CAT Advanced Maths Self Assessment

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