For the equation 2^(a+3) = 4^(a+2) - 48, the value of a will be ??
For the equation 2^(a+3) = 4^(a+2) - 48, the value of a will be
- -2
- -3
- -3/2
- none of these
- 1
0 voters
A solid metal sphere is melted and smaller spheres of equal radii are formed. 10% of the volume of the sphere is lost in the process. The smaller spheres have a radius which is 1/9th the larger sphere. If 10 litres of paint were needed to paint the larger sphere, how many litres are needed to paint all the smaller spheres?
Ram goes out of this house at a time between 1 & 2 and he returns between 2 & 3. When he returns, he finds that both the hands have interchanged their positions. How many minutes past 2' o clock he comes back ?
Brass is an alloy of copper and zinc. Bronze is an alloy containing 80% copper, 4% zinc and 16% tin. A fused mass of brass and bronze is found to contain 74% copper, 16% zinc and 10% tin. The ratio of copper to zinc in Brass is ?
Am I the only one who feels that the chapter functions isn't explained well in Arun Sharma? I love the book but it has failed to help me in times of need. Really don't have the requisite power of imagination to think about abstruse graphs. Is there any video series or online material for it? Even TIME's material didn't help!
cat How many 5-digit numbers are there such that the digits at hundred place, unit place and ten-thousand place form a gp ans 3300 help
There are 5 blue socks,4 red socks,and 3 green socks.Then in how many ways can u select 4 socks ?
The average age of a class of 45 pupils was 15 years 4 months on the 1st June. If one boy whose age was 16 years 2 months on 1st October left the school in October, what would be the average age of the class on the following 1st February ?
which is the highest 3 digit number that divides 11111........1(127 times) perfectly without leaving any remainder?
a)111 b)333 c)666 d)999 e)none
W1,W2,W3...W7 are 7 positive integers. By attaching any coefficients of +1,0,-1 to each value available and adding the resultant values, any number from 1 to 1093(both inclusive) could be formed. If W1,W2..W7 are in ascending order, then what is the value of W3 ?
1) 10
2) 9 3) 0
4) 1
5) None of these
4x-17y=1,x
a)59 b)57 c)55 d)58 e)none
if a,b,c are three numbers such that cube of first number exceeds the product of three numbers by 2, the product of three numbers exceeds the cube of second number by 3and the cube of third number exceeds the product of three numbers by 3. find the numbers.
Please can someone solve question 1 from LOD. 3, profit and loss chapter
An Useful Article on Number system i found on Bulls Eye Website.
Unit Digit of A Number
The concept that revolves around finding the unit digit of a number uses the basics of number system. Learning this concept means you have strengthened your basic concepts.
The concept of unit digit can be learned by figuring out the unit digits of all the single digit numbers from 0 - 9 when raised to certain powers. The first learning in that for you will be that these numbers can be broadly classified into three categories for this purpose:
Digits 0, 1, 5 & 6: When we observe the behavior of these digits, they all have the same unit's digit as the number itself when raised to any power, i.e. 0n = 0, 1n =1, 5n = 5, 6n = 6. So, it becomes simple to understand this logic.
Examples: Finding the Unit digit of following numbers:
185563 = 5; 2716987 = 1; 15625369 = 6; 190654789321 = 0.
Digits 4 & 9: Both these numbers are perfect squares and also have the same behavior with respect to their unit digits i.e. they have a cyclicity of only two different digits as their unit's digit.
Have a look at how the powers of 4 operate:
41 = 4, 42 = 16, 43 = 64 and so on.
Hence, the power cycle of 4 contains only 2 numbers 4 & 6, which appear in case of odd and even powers respectively.
Likewise 91 = 9, 92 = 81, 93 = 729 and so on.
Hence, the power cycle of 9 also contains only 2 numbers 9 & 1, which appear in case of odd and even powers respectively.
So broadly these can be remembered in even and odd only, i.e. 4odd = 4 and 4even = 6 and likewise 9odd = 9 and 9even = 1.
Examples: Finding the Unit digit of following numbers:
189562589743 = 9 (since power is odd); 279698745832 = 1(since power is even);
154258741369 = 4 (since power is odd); 19465478932 = 6 (since power is even).
Digits 2, 3, 7 & 8: These numbers have a power cycle of 4 different numbers
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n how many ways can 75 be written as a sum of n consecutive positive integers? (Hint : apply the concept of averages)
can someone plz solve question 13 lod2 geometry ?
Puys need your help !!
Is arun sharma "geometry and mensuration" enough to solve CAT questions?
-I m asking this because i felt it has less variety.
- no
- yes
- can’t say
0 voters
A rectangle PQRS contains a semi-circle with diameter PQ. An equilateral triangle RST is drawn such that T is the only point of contact of the semi-circle and the triangle. Determine the ratio of the length of the smaller side to the larger side of the rectangle.
1. 1 : 3 2. 1 : 2 3. 1 : 4 4. 2 : root 3 + 1
The smallest possible circle, touching two opposite sides of a rectangle, is cut out from a rectangle of area 60 sq units. If the area of the circle is 1.5 times the uncut area left in the rectangle, find the diameter of the circle.
1. 6/root pie 2. 9/root pie 3. 12/root pie 4. 15 root pie