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Find the factors of following (4x2 – x– 3)
4x2 – x– 3
=4x2 – (4 – 3) (x– 3)
= 4x(x – 1) +3 (x – 1)
=(x – 1)(4x + 3)
Find the mode and median of the data 7, 6, 8, 6 ,8 , 7 , 8 , 6 , 8
Median = 6, 6, 6, 7, 7, 8, 8, 8, 8
Median is the term which come in middle after arranging series in ascending order so here 7.
Mode is the term whose frequency is more so 8.
Find the length of diagonal of rectangle if the perimeter is 34 cm and breadth is 5 cm?
2(l + b) = 34
l + b = 17
l = 17 – 5 = 12
So diagonal is = √ (5)2 + (12)2 = √25 + 144
= √169 = 13
If 32 cotA = 24 then find the value of (sinA + CosA)/(sinA –cosA) =?
cotA = 24/32
cosA/sinA = 3/4
(sinA + CosA)/(sinA –cosA) = (4+3)/(4-3) =7
A shopkeeper purchased 10 boxes of pen. In each box there are 10 pens. Each pen cost Rs. 8.If he sold each pen at 12 % profit. What is the total selling price?
Total Number of pen = 10 x 10 =100
Cost Price of 100 pen = 8 x 100 =800
Selling price = 800 x 112/100 = 896
Simplify the following?
If the sum of digit is 9 and difference between the digit at ten’s place and unit place is 1 find the two digit number?
Unit digit = x
Ten’s digit = x+1
x+ x+1 = 9
2x=8 => x=4
So Number= 10(x + 1) + x = 50 + 4 = 54
Simplify the following 2.55+ 22.5 + 2222.555+ 222.5555=?
2.55+ 22.5 + 2222.555+ 222.5555
= (2+22+2222+222) + (0.5 + 0.55 + 0.555+ 0.5555)
= 2468 + 2.1605
= 2470.1605
If the value of A =45◦ then value of sin 2A + cos2A = ?
sin 2A + cos2A = sin 245+ cos245
= 1/2 + 1/2 =1
A starts business with Rs.6500 and after 8 months, B joins with A as his partner. After a year, the profit divided in the 3 : 5. What is B's contribution in the capital?
Lets assume B’s Capital = B
6500 × 12 /4 × B = 3/5
B = 6500 × 5 = 32500
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