CAT Quantitative Aptitude Questions 2022 – PaGaLGuY

Q. Two of the vertices of an equilateral triangle are (-4, 0) and (4, 0). The equation of the incircle of the triangle can be? 

A. x2+(y+43√)2=(83√)2x2+(y+43)2=(83)2

B. x2+(y+43√)2=(43√)2x2+(y+43)2=(43)2

C. x2+(y+43√)2=(23√)2x2+(y+43)2=(23)2

D. x2+(y−43√)2=(83√)2

Q7 please?

Q16...?

 "I am eight times as old as you were when i was as old as you are" said man to his son Find present ages if sum of their ages is 75 years.

In an NGO, the daily average wages of 20 illiterate employees is decreased from Rs. 25 to Rs. 10, thus the average salary of all the literate (educated) and illiterate employees is decreased by Rs. 10 per day.

The number of educated employees working in the NGO is ?

How many perfect squares are in the form of XXYY ?

A can do as much work in 2 days as B can do in 3 days. B can do as much work in 4 days as C can do in 5 days. A piece of work takes 20 days if all work together. How long would B take alone to do it ?

In how many different ways can the letters A, A, B, B, B, C, D, E be arranged if the letter C must be to the right of the letter D? 

How many positive integers less than 10,000 are such that the product of their digits is 30?

a,b,c are three distinct integers from 2 to 10 (both inclusive). Exactly one of ab,bc and ca is odd. abc is a multiple of 4. The arithmetic mean of aa and bb is an integer and so is the arithmetic mean of a,b and c. How many such triplets are possible (unordered triplets)

There are 6 boxes numbered 1,2,...6. Each box is to be filled up either with a red or a green ball in such a way that at least 1 box contains a green ball and the boxes containing green balls are consecutively numbered. The total number of ways in which this can be done is:

Find the number of numbers between 100 to 400 which are divisible by either 2,3,5 and 7.

P is a positive integer not more than 100.The units digit of 3^p+p^3 is 0.How many values does P have?

  • 25
  • 15
  • 10
  • 20

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Find the remainder when 48^50+50^50 is divided by 49...if i solve like (49-1)^50 +(49+1)^50 Then th m getting 2 as answer..but if i try like (3^4)^12*3^2*(2^10)^10 separately for 48 nd like this separately for 49 as we usually do.but then m nt getting ans as 2..can anyone try using this method

If |b| > = 2 and x = |a|b then Which of following is always true ? 1.A +xb > = 0 2. A +xb is less than equal to 0 3. A - xb is less than equal to 0 4. Both option 1 and 2

Anand and Bala started from towns P and Q simultaneously towards Q and P respectively. After 6 hrs, they crossed each other at town R. After that Anand took 5 hours more to reach his destination than Bala. Find the sum of the times taken by them to reach their destination from R (in hours) a)15 b)11 c)13 d)17

Can someone give a detailed explanation of the solution?

Hi, can anyone please mail me the SIMCat 15 proc mock papers? [email protected]  Thanks in advance.

If f(x) is a 5th degree polynomial. Its given that f(x) +1 is divisible by (x-1)^3 & f(x)-1 is divisible by (x+1)^3. Find f(x)

Anant started answering a mathematics test sometime between 2:00 pm and 3:00 pm and ended at sometime between 5:00 pm and 6:00 pm. If it is known that the position of the minute hand and hour hand at the start interchanged with the position at the end, for how long did Anant take the test?

A) 2 (5/11) hours

B)2 (10/13) hours

C)2 (5/7) hours

D)2 (13/14) hours

Can anyone provide a detailed solution for this?            

Time kailash colony vs alchemist cp for cat'16