Find the value of (sin1° + cos1°) + (sin2° + cos2°) + (sin3° + cos3°) + ... (sin359° + cos359°).
Raju attempted 18 out of 20 questions. his scorecard showed 60% marks. he knew that some marks were deducted for incorrect answers and no marks awarded for un- attempted ones. Rahela also attempted same no of questions, got 25% more marks than raju and and attempted 2 more questions correctly than raju did.
how much percent of the questions that raju attempted did he attempt correctly?
A car had to travel a total distance of 600km. After travelling a part of the distance, it developned an engine problem, It travelled the remaining distance with 4/5 of the speed. It arrived an hour late. Had the engine problem occurred after he travelled 150 Km more, the CAR would have arrived half an hour earlier at its destination. Find the distance travelled without any problem...
Isme I followed approach that let x distance be the distance travelled without problems = speed of car
x/s + (600-x)/(4s/5) = 600/s + 1 ............ (1)
(x+150)/s + (450 - x) / (4s/5) = 600/s + 1/2 .......... (2)
After solving i am getting X = 70/33 which is incorrect Please correct me,
@sagarcat
Determine the least natural number which can be written both as a sum of 9 consecutive positive integers and as a sum of 10 consecutive positive integers.
a. 45 b. 55 c. 100 d. 135 e. 495
A submarine needs to take in 1000 gallons of water if it wants to submerge 1 ft in water. The height of the submarine is 20 ft and it is currently submerged 2 ft in water. A battleship 150 km away sees it and fires a torpedo 2 ft below sea-level towards the submarine. If the submarine can take a maximum 3000 gallons of water in one minute, what should be the minimum constant speed of the torpedo for it to hit the submarine, if the submarine starts submerging just as the torpedo is fired?
1.1080 km/hr
2.1500 km/hr
3.1350 km/hr
4.1250 km/hr
In a triangle, the sum of the squares of two of the sides is not more than four times its area. If the product of these sides is 12, find the area.
a) 2
b) 3
c) 4
d) 6
Please post your answer with solution.
Q 1 At our training institute we have 4 processors p1 p2 p3 p4 in the ratio of 1/6,1/5,1/3,1/2 respectively. minimum no of processors in our institute
a 16
b 30
c 32
d 36
Q2 Tanya gives away 1/12, 5/18, 7/30, 7/48 of apples she had and has only just enough apples to be able to do so without dividing an apple. the minimum number of apples she had.
a 250
b 720
c 750
d none of these
query: i want to know the difference between these 2 questions.
kindly help
A fast train and a slow train travelling in opposite directions cross each other in 40 seconds, while the fast train crosses a man sitting at the front of the slow train in 16 seconds. Had the trains been travelling in the same direction, the fast train would cross the slow train in 90 seconds and cross a man sitting at the back of the slow train in 36 seconds. What is the ratio of speeds and the ratio of the lengths of the fast train to the slow train respectively?
Find the coefficient of x^7 in the expansion of (1 - x^2 + x^3) (1+x)^10.
There are 20 people in your applicant pool, including 5 pairs of identical twins. If you hire 5 people randomly, what are the chances you will hire at least 1 pair of identical twins? 😉
Ans: 245/969
Ans: 245/969
A person has 4 coins each of different denomination.what is the number ofdifferent sums of moneythe person can form(using one or more coins at a time)?
a)16
b)15
c)12
d)11
plz explain the approach
if a and b are two positive integer. then
a^2 +b^2+ab
can be equal to----- 306,316,310,320
plz explain the approach...
if a and b are two positive integr... then a^2+b^2 +ab can be equal to
306
316
310
320
remainder when 3^40/11....n explain
Can anybody explain Eulers theorem with example..pls
Let x = 0.0102040816326428... be the real number in the interval (0; 1) whose decimal expansion (after the decimal period) is obtained by concatenating the last two digits of the sequence of powers of 2 (padded by 0 in case there is only one digit). What can be said about x:-
a) Its a rational number
b) Its an irrational number
c) Can not say
A palindrome is a number which reads the same forward and backwards such as 1441 or 35253. Find the largest five-digit palindrome that is divisible by 101.
Suppose f(x) is a function that satisfies f(x) + 5f(1/x) = 3 + x for all non-zero real numbers x. What is f(4)?
a. 5/4
b. 1
c. 2
d. 27/83
e. 37/96
Sharing a doc i found on folding problems in geometry.Concepts + questions.
John and David work on alternate days with John starting on the first day. John does 12.5% of thetotal work on the last day and finishes the work. If John alone can do the work in 6 days then whichof following can be the number of days in which David alone can do the whole work?(a) 24 days (b) 12 days (c) 8 days (d) 10 days