CAT Quantitative Aptitude Questions 2022 – PaGaLGuY

Suppose HCF of a, b , c is one then Find the number of positive Integral solutions of a + b + c = 30 ?


Ram wrote a book and published it. He later noticed that out of the 480 pages, one page was missing. If the sum of numbers on all the pages is equal to 115080, what is the digital sum of the page that is missing?

How many ordered natural numbers (A,B) are there such that (A - B) = 3 and difference in the number of zeroes of A! and B! = 2, given that both A, B are less than 300?

Mr x walks at his usual speed of 5 kmhr along a railway track and meets a train everyday coming in opposite direction at a speed of 60kmhr.one day he started late from home while the train which had started on time was moving with usual speed overshot the usual meeting point by 5km.hoe late was mr x?

  • 65 mins
  • 60 mins
  • None of these
  • 5 mins

0 voters

if the price of bicycle is increased by 9.09% them 8.33% and then 7.7% the price becomes 1274. what is the original price?

Q29?

A truck travelling at 70 kph uses 30% more diesel to travel a certain distance than it does when it travels at the speed of 50 kph. If the truck can travel 19.5 km on a litre of diesel at 50 kph, how far can the truck travel on 10 litres of diesel at a speed of 70 kph? Options 130 ; 140 ; 150 ; 175.

in an election 10% voters did not cast 60 left ballot paper blank. There were only two candidates. The winner was supported by 47% of all votera in the list and he got 308 votes more than his rival. Find the total number of voters

Q43

THere is a series in ap comprising of 240 terms. The 47th term and 211th term of the progression are 23 3/43 and 177 13/43 respectively. To this series, P terms are added at the beginning and another (P+17) terms are added at the end such that the entire series is still in AP. If the total number of terms finally is 473 what is the sum of the 473 terms?

a) 47432

b) 47388

c) 47344

d) 44389

Q68 and 70?

Find the sum of all 4-digit numbers formed by using digits 0, 2, 3, 5 and 8? Edit: Repetitions are not allowed.

In a list of n consecutive odd numbers, the number of terms equals the first term. If six times the sum of the n numbers exceeds the square of their average by 2013 times the average, what is the value of the first term?

A)501

B)503

C)509

D)511

ANY OTHER APPROACH THAN FORMING EQUATIONS. THANKS.

Find the sum of all 4-digit numbers formed by using digits 0 and 5.

n>47 & n is a natural number. Then how many of the following will exactly divide n(n^2-1)(n^2-4). i)120 ii)24 iii)48 iv)49

  • 1
  • 4
  • 2
  • 3

0 voters

Numbers 1,2,3.....n are written in sequence.Numbers at odd places are struck off and a new sequence is formed. The same process is repeated until only  a single number remains. What is the final number left if n = 527?

  • None of these
  • 256
  • 264
  • 512

0 voters


A carpenter wants to sell 40 chairs.if he sells them at 156 per chair ,he would be able to sell all of them but for every rs 6 increae in price ,he will have one unsold chair ,at what price would he be able to maximise his profits (assuning unsold chair remains with him)

a) 198   b)192  c)204    d)210

Doctors have advised renu ,a chocolate freak,not to take more than 20 chocolates in one day.When she went to market to buy her daily quota,she found that if she buys chocolates from the market complex she would have to pay Rs 3 more for the same number of chocolates than she would have spent had she bought them from her uncle scrooge's shop,getting two sweets less per rupee.she finally decided to get from uncle scrooge's shop paying only in one rupee coins.

a) How many chocolates did she buy

and

b) how much she would have spent at the market complex?

a)  12   and b) 6

26,27


i m a beginner for cat which book should a refer for quants?

should i go for directly for arihant / arun sharma / rs agrawal