@sujamait said:sin α + sin β + sin γ = 0cos α + cos β + cos γ = 0cos (α − θ) + cos (β − θ) + cos (γ − θ) = ?OPTIONS1) sin θ 2) sin^2 θ 3) 0 4) 1 – cos θ
got it 0..
@amresh_maverick said:What is the probability that the product of two integers chosen at random has the same unit digit as the two integers?
favorable - 1,5,6,0
total - 10*10
so 1/25
total - 10*10
so 1/25
A small terrace at a football ground comprises 15 steps, each of which is 50 m wide and is built of solid concrete. Each step rises to 0.25 m and a length of 0.5 m. Calculate the total volume of concrete required to the build the terrace.
OPTIONS
1) 750 cc
2) 650 cc
3) 550 cc
4) None of these
OPTIONS
1) 750 cc
2) 650 cc
3) 550 cc
4) None of these
@amresh_maverick said:What is the probability that the product of two integers chosen at random has the same unit digit as the two integers?
1/25??
@sujamait said:A small terrace at a football ground comprises 15 steps, each of which is 50 m wide and is built of solid concrete. Each step rises to 0.25 m and a length of 0.5 m. Calculate the total volume of concrete required to the build the terrace.OPTIONS1) 750 cc 2) 650 cc 3) 550 cc 4) None of these
1st step - 0.25*50*.5 m^3= 6.25 m^3
total = 6.25(1+2+3+..+15)=6.25*120=750 m^3
total = 6.25(1+2+3+..+15)=6.25*120=750 m^3
@scrabbler said:Here you go...attached file should give the answer.Edit: Second figure mein A aur B interchange ho gaye. Sowwy regardsscrabbler
@gs4890 said:total - 19x19coz integer hain [-9,9] is the set
samjha nai, [-9,9] kyun? integers to infinite hain
@Shray14 said:Bro thoda detail mein explain kardo..
all we need to consider is the units digit
1st digit can be taken in 10 ways
2nd in 10 ways
out of the 100 possible, only 1,1; 5,5; 6,6; 0,0; will give same units as both integers
1st digit can be taken in 10 ways
2nd in 10 ways
out of the 100 possible, only 1,1; 5,5; 6,6; 0,0; will give same units as both integers
A ladder has rungs 25 cm apart. The rungs decrease uniformly in length from 45 cm at the bottom to 25 cm at the top. If the top and the bottom rungs are 2.5 m apart, what is the length of wood required only for the rungs ?
OPTIONS
1) 350 cm
2) 300 cm
3) 50 cm
4) None of these
OPTIONS
1) 350 cm
2) 300 cm
3) 50 cm
4) None of these
@amresh_maverick said:What is the probability that the product of two integers chosen at random has the same unit digit as the two integers?
An integer can end with any of the ten digits (0, 1, 2 ....
9) out of which if it ends with one of the four (0, 1, 5,
6), the required condition will be satisfied.
The probability of an integer ending with 0 or 1 or 5 or
6 is 4/10 = 2/5
Now the probability of 2nd integer also ending with
the digit that has come in unit €™s place of the first
integer is 1/10
ˆ´ The required probability = (2/5) — (1/10) = 1/25
9) out of which if it ends with one of the four (0, 1, 5,
6), the required condition will be satisfied.
The probability of an integer ending with 0 or 1 or 5 or
6 is 4/10 = 2/5
Now the probability of 2nd integer also ending with
the digit that has come in unit €™s place of the first
integer is 1/10
ˆ´ The required probability = (2/5) — (1/10) = 1/25
Any five points are taken inside or on a square of side 1. Let a be the smallest possible number with the property that it is always possible to select one pair of points from these five such that the distance between them is equal to or less than a.
Then a is :
rt3/3
rt2/2
2rt2/3
1
As I dont hav d OA ....so correct answer vill b decided as d option with vich d majority goes...
Then a is :
rt3/3
rt2/2
2rt2/3
1
As I dont hav d OA ....so correct answer vill b decided as d option with vich d majority goes...
@sujamait said:A ladder has rungs 25 cm apart. The rungs decrease uniformly in length from 45 cm at the bottom to 25 cm at the top. If the top and the bottom rungs are 2.5 m apart, what is the length of wood required only for the rungs ?OPTIONS1) 350 cm 2) 300 cm 3) 50 cm 4) None of these
4) none 385 ?
@krum said:samjha nai, [-9,9] kyun? integers to infinite hain all we need to consider is the units digit 1st digit can be taken in 10 ways2nd in 10 waysout of the 100 possible, only 1,1; 5,5; 6,6; 0,0; will give same units as both integers
Samjha ab..thanks bro..
@sujamait said:A ladder has rungs 25 cm apart. The rungs decrease uniformly in length from 45 cm at the bottom to 25 cm at the top. If the top and the bottom rungs are 2.5 m apart, what is the length of wood required only for the rungs ?OPTIONS1) 350 cm 2) 300 cm 3) 50 cm 4) None of these
(4) 11 rungs average 35 so 385...?
regards
scrabbler
regards
scrabbler
@sujamait said:A ladder has rungs 25 cm apart. The rungs decrease uniformly in length from 45 cm at the bottom to 25 cm at the top. If the top and the bottom rungs are 2.5 m apart, what is the length of wood required only for the rungs ?OPTIONS1) 350 cm 2) 300 cm 3) 50 cm 4) None of these
total rungs = 250/25+1=11
total length = 11/2(45+25)=11*(35)=385 cm
edited
total length = 11/2(45+25)=11*(35)=385 cm
edited
@sujamait said:A ladder has rungs 25 cm apart. The rungs decrease uniformly in length from 45 cm at the bottom to 25 cm at the top. If the top and the bottom rungs are 2.5 m apart, what is the length of wood required only for the rungs ?OPTIONS1) 350 cm 2) 300 cm 3) 50 cm 4) None of these
385??
@krum said:total rungs = 250/25=10d=(45-25)/10=2total length = 10/2(45+25)=5*(70)=350 cm
add +1 to ur rung count...
@19rsb said:Any five points are taken inside or on a square of side 1. Let a be the smallest possible number with the property that it is always possible to select one pair of points from these five such that the distance between them is equal to or less than a.Then a is :rt3/3rt2/22rt2/31As I dont hav d OA ....so correct answer vill b decided as d option with vich d majority goes...
root2/2