

NTSE Mental Ability Test - Mathematical Operations
Exam Duration: 45 Mins Total Questions : 30
If \(\times\) means +, - means \(\div \), \(\div \) means - and + means \(\times\) then the value of the equation 25+9\(\times\)45-15 \(\div \)23 will be
- (a)
205
- (b)
262
- (c)
203
- (d)
227
25 \(\times\) 9 + 45 \(\div\)15 - 23 = 205
If $ means \(\div\), # means \(\times\), % means + and @ means - then the value of the equation 56%78 @ 55$ 11# 8 will be
- (a)
94
- (b)
86
- (c)
104
- (d)
82
56 + 78 - 55\(\div\)11 \(\times\) 8 = 94
If $ means \(\div\) . # mean X, %means + and @ means - then which of the following equations will be correct
- (a)
5 $ 20 @ 8 # 50 % 4 = -75
- (b)
5 @ 20 # 8 $ 50 % 4 = -75
- (c)
5 % 20 @ 8 # 50 $ 4 = -75
- (d)
5 $ 20 @ 8 # 50 % 4 = 75
5 + 20 - 8 \(\times\) 50 \(\div\)4 = -75
5 \(\div\) 4 \(\times\) 2 + 3 -1 =12
- (a)
\(\times\) and \(\div\)
- (b)
+ and -
- (c)
\(\div\) and -
- (d)
\(\times\) and +
Interchanging and in the given equation we get
= 5 \(\times\) 4 \(\div\) 2 + 3-1
=5\(\times\)2+3-1
= 10 + 3 - 1
= 13 - 1 = 12
7 \(\div\) 14 \(\times\) 16 - 32 + 6 = 34
- (a)
\(\times\)and +
- (b)
+ and -
- (c)
\(\div\) and -
- (d)
\(\times\) and \(\div\)
7 \(\div\) 14\(\times\)16 + 32 - 6 = 34
220 + 110 - 11 \(\times\) 2 \(\div\) 4 = 236
- (a)
\(\times\)and +
- (b)
+ and -
- (c)
\(\div\) and -
- (d)
\(\times\) and \(\div\)
220 + 110 \(\div\)11 \(\times\) 2 - 4 = 236
169 \(\div\) 13 \(\times\) 6 - 4 + 5 = -1
- (a)
\(\times\)and +
- (b)
+ and -
- (c)
\(\div\) and -
- (d)
\(\times\) and \(\div\)
169 \(\div\) 13 + 6 - 4 \(\times\)5 = -1
Interchanges:
Signs: \(\times\) and -
Numbers: 7 and 2
- (a)
2 \(\times\) 5 - 7 = 2
- (b)
5 - 2 \(\times\) 7 = 9
- (c)
7 \(\times\) 5 - 2 = 3
- (d)
7 - 5 \(\times\) 2 = 3
2 \(\times\) 5 - 7 = 3
Interchanges:
Signs: + and \(\div\)
Numbers: 7 and 9
- (a)
3 + 9 \(\div\) 7 = 10
- (b)
9 \(\div\) 7 + 3 = 10
- (c)
9 + 7 \(\div\) 3 = 10
- (d)
7 + 9 \(\div\) 3 = 10
'7+ 9 \(\div\) 3 = 10
Interchanges:
Signs: + and -
Numbers: 5 and 3
- (a)
1 + 5 - 3 = 7
- (b)
3 - 5 + 1 = 7
- (c)
5 + 3 - 1 = 7
- (d)
3 + 5 - 1 = 7
5 + 3 - 1 = 7
If 4% 2 = 12,5% 3 = 16and 8 %6 = 28 then find the value of 9 %7
- (a)
24
- (b)
28
- (c)
32
- (d)
34
Subtract square of 2nd number from that of first, hence 9 % 7 = 81 49 = 32
If 4 # 6 = 40,8 # 9 = 136 and 7 # 5 = 84 then findthe value of4 # 9
- (a)
22
- (b)
42
- (c)
32
- (d)
52
Rule is a # b = a2 + ab , hence 4 # 9 = 42 + 4 \(\times\) 9 = 52
If 24 72 = 32, 18
48 = 22 and 36
42 = 26 then find the value of 48
78
- (a)
32
- (b)
38
- (c)
42
- (d)
48
The rule works as follows
48 78=\(\frac{48+78}{3}\)=42
If '+' means 'divided by', '-' means 'multiplied. 'x' means 'minus' and '7' means 'plus', which the following will be the value of the expressi 16 \(\div\) 8 - 4 + 2 \(\times\) 4 ?
- (a)
16
- (b)
28
- (c)
32
- (d)
44
Putting the proper signs in the given expressi
we get:
16 + 8 x 4 \(\div\) 2 - 4 = 16 + 16 - 4
= 32 - 4 = 28.
So, the answer is (b).
If + means \(\div\), - means x, \(\div\) means + and means -, then
36 x 12 + 4 \(\div\) 6 + 2 - 3 = ?
- (a)
2
- (b)
18
- (c)
42
- (d)
\(6\frac{1}{2}\)
Using the proper signs, we get:
36 - 12 \(\div\) 4 + 6 \(\div\) 2 x 3 = 36 - 3 + 3 x 3
= 36 - 3 + 9
= 45 - 3 = 42
So, the correct answer is (c).
It being given that: > denotes +, < denotes -, + denotes \(\div\), - dentotes =, = denotes 'less than' and x denotes 'greater than', find which of the • following is a correct statement
- (a)
3 + 2 > 4 = 9 + 3 < 2
- (b)
3 > 2 > 4 = 18 + 3 < 1
- (c)
3 > 2 < 4 x 8 + 4 < 2
- (d)
3 + 2 < 4 x 9 + 3 < 3
Using proper notations, we have :
(a) Given statement is 3 \(\div\) 2 + 4 < 9 \(\div\) 3 - 2
or \(\frac{11}{2}<1\) which is not true.
(b) Given statement is 3 + 2 + 4 < 18 \(\div\) 3 - 1
or 9 < 5, which is not true.
(c) Given statement is 3 + 2 - 4 > 8 \(\div\) 4 - 2
or 1 > 0, which is true.
(d) Given statement is 3 + 2 - 4 > 9 \(\div\) 3 -
or \(-\frac{5}{2}>0\) which is not true.
So, the statement (c) is true.
It being given that x denotes 'greater than', \(\phi\) denotes 'equal to', < denotes 'not less than',\(\bot\) denotes 'not equal to', \(\Delta\) denotes 'less than' and + denotes 'not greater than', choose the correct statement from the following: If a x b \(\Delta\) c, it follows that
- (a)
a \(\phi\) c \(\Delta\) b
- (b)
b < a x c
- (c)
a < b + c
- (d)
b < a \(\phi\) c
Which of the following two signs need to be interchanged to make the given equation correct?
10 + 10 \(\div\) 10 - 10 x 10 = 10
- (a)
+ and -
- (b)
+ and \(\div\)
- (c)
+ and x
- (d)
\(\div\) and +
On interchanging + and <, we get the equation as
10 x 10 \(\div\) 10 - 10 + 10 = 10
or 10 x 1 - 10 + 10 = 10
or 10 = 10, which is true.
\(\frac { 50 }{ ? } =\frac { ? }{ 12 \frac { 1 }{ 2 } } \)
- (a)
25/2
- (b)
4/25
- (c)
25
- (d)
5/25
\(\frac { \sqrt{625} }{ ? } =\frac { ? }{ 16 } \)
- (a)
0.025
- (b)
2.05
- (c)
0.025
- (d)
20.0
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: (RCm) and (RAm)
- (a)
\(\ell\)Bm
- (b)
\(\ell\)Dm
- (c)
\(\ell\)Em
- (d)
\(\ell\)Fm
It being given that D denotes 'equal to '; .. denotes 'not equal to '; + denotes 'greater than '; - denotes 'less than', x denotes 'not greater than '; -i- denotes 'not less than '. Choose the correct statement in each of the following questions:
a + b + c does not imply
- (a)
b - a + c
- (b)
c - b - a
- (c)
c - a + b
- (d)
b - a - c
The following questions, \(\Delta\) means 'is greater than', % means 'is lesser than', 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 question.
If c % b and b x a, then
- (a)
a \(\Delta\) c
- (b)
c
a
- (c)
b
c
- (d)
c \(\Delta\) a
If x means +, \(\div\) means -, - means x and + means \(\div\), then: 8 x 7 - 8 + 40 \(\div\) 2 = ?
- (a)
1
- (b)
\(7\frac{2}{5}\)
- (c)
\(8\frac{3}{5}\)
- (d)
44
Using the correct symbols, we have:
Given expression:
= 8 + 7 x 8 \(\div\) 40 - 2
= 8 + 7 \(\times\frac{1}{5}-2=8+\frac{7}{5}-2\)
= \(\frac{37}{5}=7\frac{2}{5}\)
If + stands for 'division', x stands for 'addition', _ stands for 'multiplication' and \(\div\) stands for 'subtraction', then which of the following equation is correct:
- (a)
36 x 6 + 7 \(\div\) 2 - 6 = 20
- (b)
36 \(\div\) 6 + 3 x 5 - 3 = 45
- (c)
36 + 6 - 3 x 5 \(\div\) 3 = 24
- (d)
36 - 6 + 3 x 5 \(\div\) 3 = 74
Using the proper notations in (d), we get the statements as :
36 x 6 \(\div\) 3 + 5 -3
= 36 -x 2 + 5-3
= 72 + 5 - 3 = 74
If > denotes +, < denotes =, + denotes =, \(\Lambda\) denotes x, - denotes =, x dentotes > and = denotes <, choose the correct statements in each of the following question
- (a)
6 + 3 > 8 = 4 + 2 < 1
- (b)
4 > 6 + 2 x 32 + 4 < 1
- (c)
8 < 4 + 2 = 6 > 3
- (d)
14 + 7 > 3 = 6 + 3 > 2
Using the proper notations In (c), we get the statements as :
8 - 4 + 2 < 6 + 3
or 6 < 9. which is true.
In the following questions, arrange the given words in a meaningful sequence and then choose the most appropriate sequence from amongst the alternatives provided below each question.
1. Birth
2. Death
3. Funeral
4. Marriage
5. Education.
- (a)
4, 5, 3, 1, 2
- (b)
2, 3, 4, 5, 1
- (c)
1, 5, 4, 2, 3
- (d)
1, 3, 4, 5, 2
In the following questions, arrange the given words in a meaningful sequence and then choose the most appropriate sequence from amongst the alternatives provided below each question.
1. Cutting
2. Dish
3. Vegetable
4. Market
5. Cooking.
- (a)
I, 2, 4, 5, 3
- (b)
3, 2, 5, 1, 4
- (c)
4, 3, 1, 5, 2
- (d)
5, 3, 2, 1, 4
In the following questions, arrange the given words in a meaningful sequence and then choose the most appropriate sequence from amongst the alternatives provided below each question.
1. Study
2. Job
3. Examination
4.Earn
5. Apply.
- (a)
1, 2, 3, 4, 5
- (b)
1, 3, 2, 5, 4
- (c)
1, 3, 5, 4, 2
- (d)
1, 3, 5, 2, 4
In the following questions, arrange the given words in a meaningful sequence and then choose the most appropriate sequence from amongst the alternatives provided below each question.
1. Shoulder
2. Wrist
3. Elbow
4. Palm
5. Finger.
- (a)
5, 4, 2, 3, 1
- (b)
3, 4, 5, 2, 1
- (c)
3, 1, 4, 2, 5
- (d)
2, 4, 5, 3, 1