## The compound ratio of ab :c2, bc : a2 and ca : b2 is 1:1

The compound ratio of ab :c2, bc : a2 and ca : b2 is 1:1. Answer : True Explanation : The given ratios are ab :c2 bc : a2 ca : b2 Compound Ratio of the given ratios = ( ab × bc × ca ) : ( c2 × Read more…

## The difference between the simple interest the compound interest of Rs.100 in 1 year at the rate of 10% p.a is Rs.1

The different between the simple interest the compound interest of ₹100 in 1 year at the rate of 10% p.a is Rs.1. Answer : False Explanation : Principle (P) = ₹ 100 Rate of interest (R) = 10% Time (T) = 1 year Simple interest ( S.I ) = PRT/100 Read more…

## Find the capital which gives Rs. 1 as interest per month at 5 % rate of interest per annum

Question : Find the capital which gives ₹ 1 as interest per month at 5 % rate of interest per annum. solution : Interest ( I ) = ₹ 1 Time ( T ) = 1 month = 1 / 12 years Rate ( R ) = 5 % Principal Read more…

## Value of median of date 2, 3, 9, 10, 9, 3, 9, is 10 . ( WBBSE – 2019 )

Write true or false : Value of median of date 2, 3, 9, 10, 9, 3, 9, is 10 . Answer : False Explanation : Ascending order : 2, 3, 3, 9, 9, 9, 10 . Number of variables (n) = 7 Median = { ( n + 1 ) Read more…

## sin 30º + sin 60º > sin 90º ( WBBSE – 2019 )

Write true or false : sin 30º + sin 60º > sin 90º Answer : True Explanation : LHS = sin 30º + sin 60º = 1/2 +√3/2 = 1 + √3/2 = 1 + 1.732/2 = 2.732/2 = 1.366 RHS = sin 90º = 1 ∴ LHS > RHS Read more…

## The variables x1, x2, x3, ______, x100 are in ascending order of their magnitude, then the median of the variable is ______. ( WBBSE – 2019 )

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 ( WBBSE – 2019 )

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

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 ______. ( WBBSE – 2019 )

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 ______. ( WBBSE – 2019 )

Number of surfaces of a solid right circular cylinder is _______. Answer : 03 Explaination :