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The set A has 4 elements and the Set B has 5 elements then the number of injective mappings that can be defined from A to B is
(1) 72
(2) 120
(3) 144
(4) 60
Correct option (2) 120Explanation:Number of injective mappings = nPm = 5P4 = 120.
Correct option (2) 120
Explanation:
Number of injective mappings = nPm = 5P4 = 120.
See lessSome desert beetles can survive on “metabolic water”, without ever drinking liquid water which
(1) is a breakdown product of pyruvate inside the mitochondria, along with carbon dioxide
(2) was produced as water in the organisms they eat
(3) is a breakdown product from glycolysis in the cytoplasm
(4) is absorbed from the air along with respiratory oxygen
(1) is a breakdown product of pyruvate inside the mitochondria, along with carbon dioxide
(1) is a breakdown product of pyruvate inside the mitochondria, along with carbon dioxide
See lessIn the cyclotron, as radius of the circular path of the charged particle increases (ω = angular velocity, v = linear velocity)
(1) ω only increases v remains constant
(2) v increases, ω decreases
(3) both ω and v increases
(4) v increases, ω remains constant
Correct option (4) v increases, ω remains constant Explanation:Bqv = mv2/rv = (Bq/m)r As r increases, v increases.ω = v/r = Bq/m = constant (if mass is taken constant)
Correct option (4) v increases, ω remains constant
Explanation:
Bqv = mv2/r
v = (Bq/m)r
As r increases, v increases.
ω = v/r = Bq/m = constant (if mass is taken constant)
See lessReactions in Zeolite catalyst depend on,
(1) Apertures
(2) All of these
(3) Pores
(4) Size of cavity
(2) All of these
(2) All of these
See lessOffsprings formed during sexual reproduction exhibits more variation than, those formed asexual method, because,
(1) sexual reproduction is more complicated
(2) genetic material comes from two different individuals
(3) genetic material comes from male parent
(4) greater amount of DNA is involved
(2) genetic material comes from two different individuals
(2) genetic material comes from two different individuals
See lessIf A is a matrix of order m x n and B is a matrix such that AB’ and B’A are both defined, the order of the matrix B is
(1) n x n
(2) m x n
(3) m x m
(4) n x m
Correct option (2) m x nExplanation:A = m x n, B = p x vAB' = ( m x n) x (q x p) ⇒ q = nB' A = (q x p) x ( m x n ) ⇒ p = m
Correct option (2) m x n
Explanation:
A = m x n, B = p x v
AB’ = ( m x n) x (q x p) ⇒ q = n
B’ A = (q x p) x ( m x n ) ⇒ p = m
See lessA spring is stretched by applying a load to its free end. The strain produced in the spring is
(1) Shear
(2) Longitudinal
(3) Volumetric
(4) Longitudinal & Shear
(4) Longitudinal & Shear
(4) Longitudinal & Shear
See lessThe hybridisation of C in diamond, graphite and ethyne is in the order
(1) sp3, sp2, sp
(2) sp2, sp3 , sp
(3) sp3, sp, sp2
(4) sp, sp2 , sp3
The Correct option is (1) sp3, sp2, sp.
The Correct option is (1) sp3, sp2, sp.
See lessA body falls freely for 10 sec. Its average velocity during this journey (take g = 10 ms-2 )
(1) 10 ms-1
(2) 5 ms-1
(3) 100 ms-1
(4) 50 ms-1
Correct option (4) 50 ms-1Explanation:Average velocity = (total distance/total time taken)= 1/2 gt2/t= 50 ms–1
Correct option (4) 50 ms-1
Explanation:
Average velocity = (total distance/total time taken)
= 1/2 gt2/t
= 50 ms–1
See lessIf tan-1(x2 +y2) = α then dy/dx is equal to
(1) xy
(2) – xy
(3) -x/y
(4) x/y
Correct option (3) -x/yExplanation:tan-1 (x2 +y2) = α⇒ x2 + y2 = tan αDifferentiating w.r.t. x, we get 2x +2y dy/dx = 0⇒ dy/dx = -x/y.
Correct option (3) -x/y
Explanation:
tan-1 (x2 +y2) = α
⇒ x2 + y2 = tan α
Differentiating w.r.t. x, we get 2x +2y dy/dx = 0
⇒ dy/dx = -x/y.
See less