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Need approach.
PQR is a three-digit number (P, Q, R are all numerals) less than 900 such that P, Q and R are in a geometric progression and the common ratio is not equal to 1. What is the unit's digit of the product of all such three-digit numbers?
Let S1 be a square of side a. Another square S2 is formed by joining the mid-points of the sides of S1. The same process is applied to S2 to form yet another square S3, and so on. If A1, A2, A3, be the areas and P1, P2, P3, be the perimeters of S1, S2, S3, , respectively, then the ratio equals ?
What is the remainder for 5 to the power 87 when divided by 15
What is the coefficient of x^7 in the expansion of ( 1 − x − x^2 + x^3 )^6 ?
A number formed by writing the first 24 natural numbers consecutively. What will be the remainder if this number is divided by 9.
There are 12 holes made in the ground. At least 3 are to be filled with a red ball and the other holes can be filled with any color ball. In how many different ways can all the holes be filled from a box of 5 red balls and 10 mixed color balls?
At the beginning of 2002 sunil had four dozen goats with him. he increased this stock by x% at the end of 2002, he sold off y% of this stock. At the beginning of 2003, he again increased his stock by x% and at the end of 2003, he again sold off y% of this stock. There were no other changes in the number of goats. At the end of 2003, he had five dozen goats with him after this sales. which of the following always holds true? 1 ) X > 100y / 100-y 2 ) 100y /100-y > x > y 3 ) x < y 4 ) 100y / 100-y < x < y
what are the last two digits of 37^287?
Sum of two numbers is 120 and their HCF is 10, how many such numbers are there?
Number of points of intersection of diagonals of a regular hexagon is?
A table is in the shape of an isosceles triangle having 3 seats along each of the three sides of the triangle. In how many ways can 9 people sit across the table?
1)9! 2)8! 3)8 × 8! 4)6 × 8!
Anu and Prem started running simultaneously from diametrically opposite points on a circular track. They ran in opposite directions and met after 12 minutes for the first time. After how long (in minutes) would they meet for the seventh time?
hi, is Arun Sharma Quant Book enough for CAT 16 if i do it throughly and revise it ? Or will it b better if I add T.I.M.E. Quant Basic material to it ?
what is the value of:
log10(x/a) * log10(x/b) * ...... * log10(x/z).
If x is the side of the largest equilateral triangle that can be drawn inside a square of side 1, what can be said about x? approach pls
The ratio of perimeter of an equilateral traingle, having an altitude equal to the radius of a circle, to the perimeter of an equilateral triangle inscribed in that circle is
- root 2:root 3
- root 3:2
- 3:2
- 3:root 2
- 2:3
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N=1! + 2! +3!........... +20! Find the unit digit for N^N?
How many odd factors does 8! Have?
anyone from calcutta university(cu) going to give CAT this year? Actually the thing is that our 2nd yr bcom honours resut our not out and will proably take 2 months to declare the result! I called the CAT helpline before filling up the form and they told me i am not eligible to give cat even though my 3rd year will end by may 2017 due to second year results not out! That is so unfair as in this the cu students dont have any say in this matter!