TNPSC Verbal Reasoning - Mathematical Operations
Exam Duration: 45 Mins Total Questions : 30
If '<' means 'minus' ,'>' means 'plus','=' means 'multiplied by' and '$' means 'divided by'; then what would be the value of 27 > 81 $ 9< 6 ?
- (a)
6
- (b)
33
- (c)
36
- (d)
54
- (e)
None of these
If Q means 'add to' , J means 'multiply by' ,T means' subtracted from' and K means 'divide by' then 30 K 2 Q 3 J 6 T 5 = ?
- (a)
18
- (b)
28
- (c)
31
- (d)
108
- (e)
None of these
In an imaginery language,the digits 0,1,2,3,4,5,6,7,8 and 9 are substituted by a,b,c,d,e,f,g,h,i and j.And 10 is written as ba. baf \(\div\)fg - (ca \(\times \)h/be) is equal to
- (a)
df
- (b)
cb
- (c)
be
- (d)
d
If \(\rightarrow\)stands for 'addition ',\(\leftarrow\) stands for 'subtraction',\(\uparrow \) stands for 'division',\(\downarrow\) stands for 'multiplication',\(\nearrow\) stands for 'equal to' then which of the following alternatives is correctr ?
- (a)
7 \(\leftarrow\) 43 \(\uparrow \) 6 \(\downarrow\) 1 \(\nearrow\) 4
- (b)
3 \(\downarrow\) 6 \(\uparrow \) 2 \(\rightarrow\) 3 \(\leftarrow\) 6 \(\nearrow\) 5
- (c)
5 \(\rightarrow\) 7 \(\leftarrow\) 3 \(\uparrow \) 2 \(\nearrow\) 4
- (d)
2 \(\downarrow\) 5 \(\leftarrow\) 6 \(\rightarrow\) 2 \(\nearrow\) 6
If - means \(\div\) , + means \(\times\) , \(\div\) means -, \(\times\) means + , then which of the following equations is correct ?
- (a)
52 \(\div\) 4 + 5 \(\times\) 8 - 2 = 36
- (b)
43 \(\times\) 7 \(\div\) 5 + 4 - 8 = 25
- (c)
36 \(\times\) 4 - 12 + 5 \(\div\) 3 = 420
- (d)
36 - 12 \(\times\) 6 \(\div\) 3 + 4 = 60
The given equation becomes correct due to the interchanges of two signs. One of the four alternatives under is specifies the interchange of signs in the equation which when made will make the equation correct.Find the correct alternative.
5 + 3 \(\times \) 8 - 12 \(\div \) 4 = 3
- (a)
+ and -
- (b)
- and \(\div \)
- (c)
+ and \(\times \)
- (d)
+ and \(\div \)
If A + B = 2C and C + D = 2 A, then
- (a)
A + C = B + D
- (b)
A + C = 2D
- (c)
A + D = B + C
- (d)
A + C = 2B
The given equation becomes correct due to the interchanges of two signs. One of the four alternatives under is specifies the interchange of signs in the equation which when made will make the equation correct.Find the correct alternative.
9 + 5 \(\div \) 4 \(\times \) 3 - 16 = 12
- (a)
+ and \(\times \)
- (b)
\(\div \) and \(\times \)
- (c)
\(\div \) and -
- (d)
+ and -
The given equation becomes correct due to the interchanges of two signs. One of the four alternatives under is specifies the interchange of signs in the equation which when made will make the equation correct.Find the correct alternative.
12 \(\div \) 2 - 6 \(\times \) 3 + 8 = 16
- (a)
\(\div \) and +
- (b)
- and +
- (c)
\(\times \) and +
- (d)
\(\div \) and \(\times \)
If A + B = C + D, B + D = 2A, D + E > A + B, C + D > A + E, then
- (a)
A > B > D > E > C
- (b)
A > D > B > E > C
- (c)
D > A > B > E > C
- (d)
D > B > E > A > C
Which of the following conclusions is correct according to the given expressions and symbols?
A : \(\ngtr \) B : > C :\(\neq \) D : = E :\(\neq \) F : <
Expressions : (aEb) and (bEc)
- (a)
aEc
- (b)
aFc
- (c)
cBa
- (d)
cBb
Find the correct inference according to given premises and symbols:
A: Not greater than B: greater than C: Not equal to
D: equal to E: Not less than F: Less than
Premises: (lCm) and (lAm)
- (a)
lBm
- (b)
lDm
- (c)
lEm
- (d)
lFm
The following questions, some symbols are represented by letters as shown below
+ | - | \(\times\) | \(\div\) | = | > | < |
B | G | E | C | D | A | F |
Now, identify the correct expression in each case
- (a)
18 C 3 D 6 B 8 C 4 G 12
- (b)
18 A 3 E 6 B 8 G 4 B 12
- (c)
18 C 3 G 6 B 8 B 4 D 12
- (d)
18 F 3 B 6 E 8 G 4 E 12
If > denotes + , < denotes - , + denotes \(\div\) , ^ denotes x, - denotes = , x denotes > and = denotes < , choose the correct statement in each of the following questions.
- (a)
13 > 7 < 6 + 2 = 3 ^ 4
- (b)
9 > 5 > 4 - 18 + 9 > 16
- (c)
9 < 3 < 2 > 1 \(\times\) 8 ^ 2
- (d)
28 + 4 ^ 2 = 6 ^ 4 + 2
Different alphabets stand for various symbols as indicated below:
Addition: O Division: Q Less than : Z Subtraction: M Equal to :X Multiplication: A Greater than: Y
out of the four alternatives given in these questions, only one in correct according to the above letter symbols. Identify the correct answer.
- (a)
1 O 1 Q 1 M 1 Y 3 Q 1
- (b)
2 Q 1 O 10 A 1 Z 6 A 4
- (c)
3 O 2 O 10 Q 2 X 10 A 2
- (d)
5 Q 5 A 5 O 5 Y 5 A 2
Different letters stand for various symbols as indicated below :
R :Addition U : Division X : Less than S : Subtraction V : Equal to W : Greater than
Out of the four alternatives given in these questions, only one is correct according to the above letter symbols. Identify the correct one.
- (a)
16 T 2 R 4 U 6 X 8
- (b)
16 R 2 S 4 V 6 R 8
- (c)
16 T 2 U 4 V 6 R 8
- (d)
16 U 2 R 4 S 6 W 8
Different letters stand for various symbols as indicated below:
R :Addition U: Division X: Less than S : Subtraction V: Equal to W: Greater than
Out of the four alternatives given in these questions, only one is correct according to the above letter symbols. Identify the correct one.
- (a)
20 U 4 R 4 X 2 T 3
- (b)
20 S 4 U 4 V 6 R 8
- (c)
20 T 4 U 4 U 2 X 3
- (d)
20 R 4 U 4 S 2 W 3
The two expressions on either side of the sign (=) will have the same value if two terms on either side or on the same side are interchanged. The correct terms to be interchanged have been given as one of the four alternatives under the expressions. find the correct alternative in each case.
5 + 3 \(\times \) 6 - 4 \(\div \) 2 = 4 \(\times \) 3 - 10 \(\div \) 2 + 7
- (a)
4, 7
- (b)
5, 7
- (c)
6, 4
- (d)
6, 10
It being given that : \(\triangle \) denotes 'equal to'; \(\Box \) denotes 'not equal to'; + denotes 'greater than'; - denotes 'less than'; \(\times \) denotes' not greater than'; \(\div \) denotes 'not less than'.
Choose the correct statement in each of the following questions :
a \(\Box \) b \(\Box \) c implies
- (a)
a + b + c
- (b)
a - b - c
- (c)
a \(\div \) b \(\div \) c
- (d)
None of these
Select the correct set of symbols which will fit in the given equation 5 0 3 5 = 20
- (a)
x , x , x
- (b)
- , + , x
- (c)
x , + , x
- (d)
+ , - , x
By applying which of the following meanings of arithmetical signs, will the value of \( 700 - 10 \div {1\over2} \times 35 + 70\) be zero?
- (a)
x means \(\div\) , + means x , \(\div\) means + , - means -
- (b)
x means \(\div\) , + means - , \(\div\) means x , - means x
- (c)
x means + , + means - , \(\div\) means x , - means \(\div\)
- (d)
x means \(\div\) , + means - , \(\div\) means x , - means +
- (e)
None of these
In the following questions, the symbols @,#,$,%,* are used with the following meanings as illustrated below:
'A @ B' means 'A is not greater than B';
'A # B' means 'A is greater than or equal to B';
'A $ B' means 'A is neither greater than nor less than B';
'A % B' means 'A is less than B';
'A * B' means 'A is neither less than nor equal to B';
Now, in each of the following questions, assuming the given statements to be true, find which of the three conclusion I,II and III given below them is/are definitely true.
Statements : T#R , R%L, \(L\ast K\)
conclusions : I. T%L II. \(K\ast R\) III. T # k
- (a)
only I is true
- (b)
only I and II are true
- (c)
All are true
- (d)
only II and III are true
- (e)
None of these
In the following questions, the symbols @,#,$,%,* are used with the following meanings as illustrated below:
'A @ B' means 'A is not greater than B';
'A # B' means 'A is greater than or equal to B';
'A $ B' means 'A is neither greater than nor less than B';
'A % B' means 'A is less than B';
'A * B' means 'A is neither less than nor equal to B';
Now, in each of the following questions, assuming the given statements to be true, find which of the three conclusion I,II and III given below them is/are definitely true.
Statements : C $ J, J % V, E @ V
conclusions : I. E % J II.\(C\ast V \) III. \(C\ast E\)
- (a)
None is true
- (b)
only II is true
- (c)
only III is true
- (d)
only II and III are true
- (e)
All are true
If \(\alpha \) means 'greater than' , \(\beta \) means 'equal to' ,\(\theta \) means 'not less than , \(\gamma\) means 'less than' \(\delta \) means 'not equal to ' and \(\eta \) means 'not greater than ',then which of the four alternatives could be a correct or proper inference in each of the following ?
If A stands for 'not equal to ' (\(\neq \)), B stands for 'greater than'(>), C stands for 'not less than (\(\nless\) ) D stands for'equal to'(=) E stands for'not greater than' (\(\ngtr \)) F stands for 'less than' (<),then according to the given premises (4x F 5y) and (5y E 3s), which of the following inferences ic correct ?
- (a)
4x A 3s
- (b)
4x B 3s
- (c)
4x C 3s
- (d)
4x D 3s
These\(\triangle\) means 'is greater than' % means 'is lesser than' \(\Box\) means 'is equal to' , = means 'is not equal to' , + means 'is a little more than', x means 'is a little less than'.
choose the correct alternative in each of the following questions
If c = a and a = b, then
- (a)
b \(\triangle\) a
- (b)
c \(\Box\) a
- (c)
b = a
- (d)
can't say
These\(\triangle\) means 'is greater than' % means 'is lesser than' \(\Box\) means 'is equal to' , = means 'is not equal to' , + means 'is a little more than', x means 'is a little less than'.
choose the correct alternative in each of the following questions
If axb and b \(\Box\) c, then
- (a)
c + a
- (b)
b \(\triangle\) c
- (c)
a + c
- (d)
c \(\Box\) a
These\(\triangle\) means 'is greater than' % means 'is lesser than' \(\Box\) means 'is equal to', = means 'is not equal to' , + means 'is a little more than', x means 'is a little less than'.
choose the correct alternative in each of the following questions
If c % b and b x a, then
- (a)
a \(\triangle\)c
- (b)
c\(\Box \) a
- (c)
b \(\Box \) c
- (d)
c \(\triangle\) a
Some symbols have been used for some mathematical operations as indicated below:
\(\times\) for 'greater than'; \(\triangle\) for 'less than'.
Using these symbols, choose the correct alternative in each of the following questions.
If a \(\times\) b \(\triangle\) c, it follows that
- (a)
c + b © \(\alpha\)
- (b)
a © b + c
- (c)
b © a \(\times\) c
- (d)
a \(\phi \) c \(\triangle\) b
These \(\alpha\) stands for 'equal to'; \(\beta\) for 'greater than'; \(\gamma \) for 'not equal to'.
If abxy \(\alpha\) \(c^{2}\)z, bx \(\beta\) ay and \(b^{2}\) \(\alpha\) ac, then
- (a)
\(ax^{2}\beta cz\)
- (b)
\(a^{2}x^{2}\beta cz\)
- (c)
\(b^{2}x\beta c^{2}z\)
- (d)
\(bx^{2}\beta c^{2}z\)
These symbols\(\bigstar\), %, $, # and © are used with the following meanings as illustratbelow:w :
'P $ Q' means 'P is smaller than Q';
'P \(\bigstar\) Q' means 'P is neither smaller than nor greater than Q';
'P # Q' means 'P is either greater than or equal to Q';
'P % Q' means 'P is greater than Q';
'P © Q' means 'P is either smaller than or equal to Q'.
Now, in each of the following questions, assuming the given statements to be true, find which of the two conclusions I and II given below them islare definitely true ?
Statement : B # D, D \(\bigstar\) F, F % H
Conclusion : I. F \(\bigstar\) B II. F $ B
- (a)
if only conclusion I is true
- (b)
if only conclusion II is true
- (c)
if either conclusion I or II is true
- (d)
if neither conclusion I nor II is true
- (e)
if both conclusions I and II are true.