## If ( a / 2 ) = ( b / 3 ) = ( c / 4 ) = ( 2a – 3b + 4c ) / ( p ), then find p. ( WBBSE – 2019 )

If ( a / 2 ) = ( b / 3 ) = ( c / 4 ) = ( 2a – 3b + 4c ) / ( p ), then find p. Given : ( a / 2 ) = ( b / 3 ) = ( c / Read more…

## Middle Term Factorisation

Level – 01 1 ) Factorise : x2 + 7x + 12 Solution : x2 + 7x + 12 = x2 + (4 + 3 ) x + 12 = x2 + 4x + 3x + 12 = x ( x + 4 ) + 3 ( x + 4 ) = ( x Read more…

## A person deposited Rs. 100 in a bank and gets the amount Rs. 121 after two years . The rate of the compound interest is _______ % . ( WBBSE – 2019 )

A person deposited ₹ 100 in a bank and gets the amount ₹ 121 after two years . The rate of the compound interest is ______% . Answer : 10% Explatation : Principal (P) = ₹ 100 Amount (A) = ₹ 121 Time (T) = ?? According to problem, A = P Read more…

## 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…

## If the product and sum of two quadratic surds is a rational number then surds are _______ surd. ( WBBSE – 2019 )

If the product and sum of two quadratic surds is a rational number then surds are _______ surd. Answer : Complementary or conjugate . Explanation : Let us consider that { √a + b) } and { -√a + b) } are two quadratic surds, where ‘a’ and ‘b’ are 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 )