Basic Mathematics

127 Questions Start Allen Test
Q126 Allen ANALYTICAL QUESTIONS MCQ
Three forces $\vec{F}_{1}$ , $\vec{F}_{2}$ and $\vec{F}_{3}$ are represented as shown. Each of them is of equal magnitude. Match the Column-I(Combination), with Column-II (Approximate Direction)
Column-IColumn-II
(A)$\vec{\mathrm{F}}_1 + \vec{\mathrm{F}}_2 + \vec{\mathrm{F}}_3$
(B)$\vec{\mathrm{F}}_1 - \vec{\mathrm{F}}_2 + \vec{\mathrm{F}}_3$
(C)$\vec{\mathrm{F}}_1 - \vec{\mathrm{F}}_2 - \vec{\mathrm{F}}_3$
(D)$\vec{\mathrm{F}}_2 - \vec{\mathrm{F}}_1 - \vec{\mathrm{F}}_3$
(P)
(Q)
(R)
(S)
A.
$\mathrm{A} \rightarrow \mathrm{R}, \mathrm{B} \rightarrow \mathrm{Q}, \mathrm{C} \rightarrow \mathrm{P}, \mathrm{D} \rightarrow \mathrm{S}$
B.
$\mathrm{A} \rightarrow \mathrm{Q}, \mathrm{B} \rightarrow \mathrm{P}, \mathrm{C} \rightarrow \mathrm{R}, \mathrm{D} \rightarrow \mathrm{S}$
C.
$\mathrm{A} \rightarrow \mathrm{Q}, \mathrm{B} \rightarrow \mathrm{R}, \mathrm{C} \rightarrow \mathrm{P}, \mathrm{D} \rightarrow \mathrm{S}$
D.
$\mathrm{A}\rightarrow \mathrm{S},\mathrm{B}\rightarrow \mathrm{P},\mathrm{C}\rightarrow \mathrm{R},\mathrm{D}\rightarrow \mathrm{Q}$
Q127 Allen ANALYTICAL QUESTIONS MCQ
Which of the following statement is/are true? (a) Two vectors of unequal magnitude can add up to zero. (b) Three vectors of unequal magnitude can add up to zero, if they lie in a plane. (c) Three vectors of unequal magnitude can added up to zero, if they do not lie in same plane.
A.
Only a
B.
a, b and c
C.
only b
D.
only c