find the maximum possible volume of the cube that can be cut from a solid cone of height 6 cm and diameter 12 * sq. root of 2.
In a school , 60% of the students passed in English and 25 % of the students who passed in English passed in foreign Language also,Whereas 662/3 of the students who passed in the foreign language failed in English.20 students failed in both English and the foreign language.
A)What is the total strength of the school ? -Ans : 200
B)What percentage of the students passed in exactly one of the 2 subjects? - Ans 75%
C)The failed students exactly in one subject are allowed to take re exam n it was found that the number of students who passed in both the subjects increased by 20% then what is the least value for the percentage of students in the school who pass only in English? -Ans : 42%
D)All the students who failed in one or more subjects are given grace marks and it was found that the number of students passing exactly in one subject went up by 4 n the number of students who failed in both the subjects dropped by 40% then what percentage of the school now pass in both ?-Ans -17 %
Need explanation on the solution!! plz asap.
If N = 539 *2^18 and M = 9*2^13, then the remainder when N is divided by M is
abcd is parallelogram...angle abc=60deg...if the longer diagonal=7cm and the area of abcd=15root3/2 sqcm..the perimeter of parallelogram abcd =?????????😠😠
Line L is perpendicular to line K whose equation is 3y = 4x + 12; Lines L and K intersect at (p, q). Is p + q > 0? (1) x intercept of Line L is less than that of Line K (2) y intercept of Line L is less than that of Line K
a) Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.
b) Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.
c) BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.
d) EACH statement ALONE is sufficient to answer the question asked.
e) Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.
how many solutions for |x| e^x =4
A task was given to a manager who had 14 members in his team. At any moment of time exactly 10 members worked simultaneously on the task. Since, the manager had to be fair in his work allocation, he allocated the task among the workers in such a way that each member worked on the task for exactly 't' minutes. If the task was completed in 210 minutes, then find the value of 't'.
a)15
b)150
c)21
d)60
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
A. 5
B. 21
C. 33
D. 60
E. 6
Shawn invested one half of his savings in a bond that paid simple interest for 2 years and received $ 550 as interest. He invested the remaining in a bond that paid compound interest, interest being compounded annually, for the same 2 years at the same rate of interest and received $605 as interest. What was the value of his total savings before investing in these two bonds?
a) $ 5500
b) $ 11000
c) $ 22000
d) $ 2750
e) $ 44000
solve the inequality
( x^2 - 7 |x| + 10) / (x^2 - 6x + 9)
a. -5
b. -5
c. -5
d. -5
In how many ways can we place 15 identical toys in three distinct boxes such that no box is empty?
1. 91
2. 105
3. 455
4. 120
A student selects all rearrangements of the letters of the word SACHIN in which the vowels appear together. These words are then arranged in alphabetical order. What is the rank of SIACHN in this game?
1. 649
2. 215
3. 211
4. 193
Two distinct numbers are selected at random from the first 20 natural numbers. What is the probability that the product of these numbers will be a multiple of 10?
1. 28/95
2. 53/190
3. 11/38
4. 27/95
Painter A has colours Blue, Green, Black and Yellow. Painter B has colours Red, White, Black and Blue. Person P has to paint the background of his number plate at one of these two painters and paint the numbers on the number plate from the other. How many options does he have if the colour of the background and that of the letters have to be different?
1. 28
2. 26
3. 32
4. 24
How many 5 digit numbers exist, sum of whose digits is an odd number?
1. 3000
2. 9000
3. 4500
4. 3300
If f(x) is the number of primes less than or equal to x, find the value of f(90) - f(80) = ?
1. 3
2. 2
3. 1
4. 4
5. 0
The interior angles of a polygon with n sides r in an AP with c.d. 3 degrees. Find the number of possible values of n?
a)13
b)14
c)15
d)16
PQR is a triangle. PS is the line drawn from from P to the base QR. QT is the line drawn from Q to the side PR. both the lines PS and QT meet at the point V. QS:SR=PV:VS=4:3.PT=8cm. Find PR.
Pipe A can fill a tank in 'a' hours. On account of a leak at the bottom of the tank it takes thrice as long to fill the tank. How long will the leak at the bottom of the tank take to empty a full tank, when pipe A is kept closed?
(3/2)a hours
(2/3)a hours
(4/3)a hours
(3/4)a hours
(5/3) a hours
How many keystrokes are needed to type numbers from 1 to 1000?
3001
2893
2704
2890