# SSC MTS exam reasoning study material: Mathematical Operations-I

In this article, we have prepared a set of 10 questions based on mathematical operations with proper explanations. The difficulty level of questions is very easy as SSC opts in the exam. Read all of them attentively and comprehend the concepts

Created On: Apr 11, 2018 19:15 IST
SSC MTS mathematical operations

SSC MTS exam is one of the most awaited exams for the candidates, who are seeking to get employed in government offices and departments. This exam offers posts like office assistant, gardener, driver, cleaner, chowkidar, etc. These posts are most sought among the rural candidates, who have qualified high school examination. There are basically four subjects as other SSC exams do have. However, the level of difficulty for the questions is very easy. If you have gone through the concepts of each chapters of all subjects, then you can surely crack this examination.

In this article, we have prepared a set of 10 questions based on mathematical operations with proper explanations. The difficulty level of questions is very easy as SSC opts in the exam. Read all of them attentively and comprehend the concepts & solving methods in these illustrations. Let us go ahead-

SSC MTS reasoning study material: Mathematical Operations

1. If ‘/’ means ‘minus’, ‘+’ means ‘division’, ‘-’ means ‘multiplication’, and ‘x‘ means ‘addition’. Which of the following will be the value of the expression  75 x 125 + 16 – 14 / 13?
a. 130.895
b. 137.876
c. 171.375
d. 171.235
Ans.:-c.
Explanation:-

= 75 x 125 + 16 – 14 / 13;
Change the mathematical signs as per the question stating and apply BODMAS rule-
= 75 + 125 / 16 * 14 – 13;
= 62 +  109.375
= 171.375

2. If ‘B’ means ‘minus’, ‘D’ means ‘division’, ‘C’ means ‘multiplication’, and ‘A‘ means ‘addition’. What will be the value of 25 A 55 D 60 C 50 B 15?
a. 25.15
b. 45.78
c. 56.87
d. 53.67
Ans.:-d.
Explanation:
-
= 25 A 55 D 60 C 50 B 15
Change the mathematical signs as the question states and apply BODMAS rule-
= 12 + 75 / 90 x 80 - 25
= 12 – 25 + 66.67
= 53.67

3. If a – b means a * b, a/b means a + b, a*b means a - b, then 100 – 10 x 100 / 100 + 10 x 10 =?
a. 901
b. 908
c. 910
d. 990
Ans.:-d.
Explanation:-
In the above conditions, it is obvious ------a + b = a / b;
= 100 – 10 x 100 / 100 + 10 x 10
Use the above conditions in the above equation and apply BODMAS rule-
= 100 * 10 – 100 + 100 / 10 – 10;
=  1000 – 100 + 10 - 10
= 990.

4. Which one of the following four interchanges in signs and numbers would make the given equation correct?
9 / 15 x 12 = 20

a. / and  x, 15 and 12
b. / and  x, 15 and 9
c. / and x, 12 and 9
d. None of these
Ans.:-d.
Explanation:-
Considering each case separately-
a) Making the interchanges given in (a.), we get 9 x 12 / 15 = 20; 7.2 = 20, which is false.
b) Making the interchanges given in (b.), we get 15 x 9 / 12 = 20; 11.25 = 20, which is false.
c) Making the interchanges given in (c.), we get 12 x 15 / 9 = 20; 20 = 20, which is false.
Hence, Option (c.) is the correct answer.

5. If signs ‘+’ and ‘/’ and numbers 1 and 5 are used interchangeably, then which of the following equation would be correct?
a. 1 + 5 / 4 =21
b. 1 + 5 / 7 =12
c. 1 / 5 + 7 = 3
d. 5 + 1 / 7 = 4
Ans.:-b.
Explanation:-
Apply the conditions in the all given options;
Option (a.):  5 / 1 + 4 = 21 ; 5 +4 = 21; 9 = 21, which is not true.
Option (b.):  5 / 1 + 7 = 12; 5 + 7 = 12 ; 12 = 12, which is true.
Option (c.):  5 + 1 / 4 = 3; 5 + 0.25 = 3;  5.25 =3, which is not true.
Option (d.):  1 / 5 + 7 = 4; 0.2 + 7 = 4; 7.2 = 4, which is not true.

6. Correct the following question by interchanging the two signs-
16 – 21 / 7 x 6 + 3 = 31

a. – and x
b. + and x
c. / and x
d. / and +
Ans.:-b.
Explanation:-
Applying each option in the given number equation-
Option (a.):
= 16 – 21 / 7 x 6 + 3;
= 16 x 21 /7 -6 + 3;
= 48 -3 = 45, which is not true.
Option (b.):
= 16 – 21 / 7 x 6 + 3;
=  16 – 21 /7 + 6 x 3;
= 16 – 3 + 18 = 31, which is true.

7. If Q means 'add to', J means 'multiply by', T means 'subtract from' and K means 'divide by' then 130 T 12 Q 20 J 6 K 15 = ?
a. 270
b. 220
c. 300
d. 320
Ans.:- b.
Explanation:-
replace the alphabets with the given conditions and apply BODMAS rule-
= 130 T 12 Q 20 J 6 K 15
= 130 - 12 + 20 x 6 / 15
= 112+ 120 / 15
= 112 + 8 = 220

8. 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
Ans.:- c.
Explanation:-

A + B = C + D ………………….(i)
B + D = 2A  ……………………….(ii)
D + E > A + B   ………………….(iii)
C + D > A + E   ……………………..(iv)
Consider eq. (i) and (iii);
D + E > C + D; => E > C;
Consider eq. (i) and (iv);
A + B > A + E;  => B > E;
Consider eq. (iii) and B >E ;
D + E > A + B and B > E;  => D + E > A + E;  => D > A;
Now, B + D =2A, D >A  => D > A > B;
Now, considering all the results, we get  D > A > B > E > C.

9. Select the correct set of symbols, which will fit in the given equation?
18  2  6  30  6 = 30

a. *, -, /, +
b. *, /, +, -
c. *, +, -, /
d. /, -, +, *
Ans.:- b.
Explanation:-
Applying all of the given option in sequence in the given number equation-
Option (a.):
= 18 * 2 - 6 / 30 + 6
= 36 – 0.20 + 6 = 41.80, which is not true.
Option (b.):
= 18 * 2 / 6 + 30 - 6
= 36 / 6 + 30 -6
= 6 + 30 -6 = 30, which is true.

10. If `+’ means `x’, `-‘ means `÷’, `x’ means `-‘and `÷’ means `+’, then what will be the value of `12 ÷ 48 – 8 x 4 + 4 = ?
a. 8
b. 12
c. 18
d. None of these
Ans.:-d.
Explanation:-

= 12 ÷ 48 – 8 x 4 + 4;
Replace the sign as per the question and apply BODMAS rule-
= 12 + 48 / 8 – 4 x 4;
= 12 + 6 -16;
= 2.

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