Official Quant thread for CAT 2013

Q5






How to solve the following quadratic equation

15.2^x+1+15.2^2-x=135

In the square ABCD CE=1/3AC

What is the measure of angleAEB?(Please see the attached image)

60degree

30degree

90degree

80degree

None of these

7^20 – 1 is divisible by

11

13

17

both 13 and 17

none of these



If ax + by > cx + dy; y, x, a, b, c, d > 0; and x

a/b > b/c

a – b > c – d

a + b > c + d

a + b

a – b > c – d

Anup and Sisir start running from the same point of a circular track at the same time.After how much time will Anup and Sisir , who are running at a speeds of 35m/s and 40m/s respectively meet at diametrically opposite point ?
Please don't just post answer , explain it . mgmg👍
OA- They will never meet .

In the figure shown find the area of the shaded region if CD=1/6AC, EC=1/4*BC and area of triangle ABC=216 sq units



using the digits 9,8,7,6,5 just once two nos. n1 and n2 are formed such that they have their maxm possible product. Find the sum of the two nos.

somebody pls also xplain d approach to such type of questions.

if a certain angle is tan^ -1 =3 what is the measurement of that angle in degree ? Sorry for asking a silly question. Thanks in advance

Hi Puys, few questions, please provide a detailed layman solution


1- |x-6|>|x^2-5x+9|
a) x3 c) (1
2- (|x-1|-3) (|x+2|-5)a) -7
b) x4
c) x3
d) any of these

3- (x-1)sqrt(x^2-x-2)>=0
a) xb) x>=2
c) xd) x>=0

4- [(x^2-|x|-12) / x-3] >=2x
a) -101 b) (-infinity,3]
c) xd) x
👼

pq, pr, qp and pp are two-digit numbers, 'pqr' is a three-digit number and 'prrp' is a four-digit number (p, q, r are all numerals). If pq × pr = pqr, then the remainder when (qp × prrp) is divided by 'pp' is(a) 0 (b) 1 (c) 7 (d) None of these

In ri8 angle triangle c-90 ae nd bd r 2 medians of tri abc meetng at f so ratio of tri abc nd quadrilateral fdce

puys solve this question..

Enjoy puzzles related to CAT...........





which book out of these two is better for quant?

Trial and error method...

It's evident that the number is between 100-198. It should be divisible by 6.
so start with 126. (say)
Reverse digits of (1/6 of 126) = 10 + 2/6 of 126 ----- NO
then .. 138 ... 156 etc...
It will match in case of 156.
1/6 of 156 = 26... Reverse is = 62. 62=10+2/6 of 156..

So the answer is 1+5+6 = 12..

which book out of these two is better for quant?

  • Sarvesh K Verma's Quantum CAT, Arihant publications
  • Quantitative Ability and Verbal Ability books authored by Arun K Sharma, Tata McRaw hill publications

0 voters

which book out of these two is better for quant?

1) Quantitative Ability and Verbal Ability books authored by Arun K Sharma, Tata McRaw hill publications

2) Sarvesh K Verma's Quantum CAT, Arihant publications



A man decides to invest a certain amount of money in a savings account of a bank that pays 20% compound interest per annum for a period of two years. In return the man wanted payments of Rs. 200 at the end of first year and Rs. 400 at the end of second year from the bank. What is the sum of money that should be invested by the man to achieve this?

a. Rs. 500

b. 1400/3

c. 4000/9

d. None of these

Greatest possible area of a right triangle of hypoteneuse 4 cm??