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The variable x1, x2,x3, ………….,x100 are in ascending order of their magnitude, then the median of the variable is ______. Answer: ( x50+x51 )/2 Explanation: Number of variables (x) = 100 ∴ Median = 1/2 [ (x/2)th+(x/2+1)th ] =1/2 [ (100/2)th+(100/2+1)th ] =1/2 [ 50th+51th ] =1/2 ( x50+x51 )
The mean of the data x1, x2, x3, …………… x10 is 20 then the mean of (x1 + 4) , (x2 + 4) , (x3 + 4) , …….(x10 + 4) will be a) 20 b) 24 c) 40 d) 10 Answer : b) 24 Explaination : Mean of the Read more…
If the bases of two triangles are situated on same line and other vertex of the two triangles are common, then the ratio of the areas of two triangles ______to the ratio of their bases. Answer: equal Explanation: Area of Δ ABC / Area of ΔBCD={ ( 1 / 2 Read more…
The simplest value of cos53˚/sin37˚is ______. Answer: 1 Explanation: cos53˚/sin37˚= cos(90-37)/ sin37˚ [ ∵ 53+37=90 ⇒ 53 = 90-37 ] = sin37˚/sin37˚ [ ∵ cos(90-θ) = sinθ ] = 1
Number of surfaces of a solid right circular cylinder is _______. Answer : 03 Explaination :
O is te centre of a circle and AB a diameter ABCD is a cyclic quadrilateral. ∠ABC=65°, ∠DAC=40°, then the measure of ∠BCD is ______. a)75° b)105° c)115° d)80° Answer : 115° Explaination: Given: ∠ABC=65° ∠DAC=40° ∠BCD= ?? ∵ ∠ACB is angle in a semicircle. ∴ ∠ACB = 90° ∵ Read more…
If tan∝ + cot∝ = 2, then the value of tan13∝ + cot13∝ is ______. a) 13 b) 2 c) 1 d) 0 Answer : b ) 2 Explaination : Given : tan∝ + cot∝ = 2 ⇒ tan∝ + 1/tan∝=2 ⇒ tan2∝ + 1/tan∝ = 2 ⇒ tan2∝ + 1 Read more…
WBBSE – 2019 Solution : Ratio of the principal = Ratio of profit share = 1 / 2 : 1 / 3 = ( 6/2 ) : ( 6/3 ) = 3 : 2 The required answer is ( b ) 3 : 2
WBBSE – 2019 Solution: Given that p + q = √13 Squaring both sides, we get ( p + q )2 = 13 ( p – q )2 + 4 pq = 13 ( √ 5 )2 + 4pq = 13 5 + 4pq = 13 4pq = 13 – Read more…
Class – 10, WBSSE Question Paper – 2019 Subject : Mathematics ( West Bengal Board of Secondary Education ) Here is the question paper of mathematics for the year 2019 ( West Bengal Board of Secondary Education )