Mathematical Operations problems
- 1. Statement
A ? B < C ;
A ? D;
C ? F
Conclusions
I. D < C
II. F ? D
Options- A. If only Conclusions I is true
- B. if only Conclusions II is true
- C. if either Conclusions I or II is true
- D. if neither Conclusions I nor II is true Discuss
Correct Answer: If only Conclusions I is true
Explanation:
Statement
A ? B < C ;
A ? D ;
C ? F ;
On combining both the statements, we get
D ? A ? B < C ?
Conclusions
I. D < C (true)
II. F ? D (false)
Hence, only conclusion I is definitely true.
- 2. Statement
U > A = I ? 0 < E
Conclusions
I. I ? E
II. 0 > U
Options- A. If only Conclusions I is true
- B. if only Conclusions II is true
- C. if either Conclusions I or II is true
- D. if neither Conclusions I nor II is true Discuss
Correct Answer: if neither Conclusions I nor II is true
Explanation:
Statement
U > A = I ? O < E
Conclusions
I. I ? E (false)
II. O > U (false)
Hence, neither Conclusion I nor II is definitely true.
- 3. Statement
L = M ? N;
M > P;
L < K.
Conclusions
I. K > P
II. N < K
Options- A. If only Conclusions I is true
- B. if only Conclusions II is true
- C. if either Conclusions I or II is true
- D. if neither Conclusions I nor II is true Discuss
Correct Answer: if only Conclusions II is true
Explanation:
Statement
L = M ? N;
M > P;
L < K ;
On combing both the statements, we get
P < L = M ? N < k
Conclusions
I. K > P (false)
II. N < K (true)
Hence, only Conclusions II is definitely true.
- 4. Select the correct combination of mathematical signs to replace * signs and to balance the given equation.
2 * 4 * 3 * 4 * 9
Options- A. + x = -
- B. x ÷ - =
- C. x - + =
- D. + - = + Discuss
Correct Answer: x - + =
Explanation:
2 x 4 - 3 + 4
8 - 3 + 4
= 9
- 5. If '+' means '-' '-' means 'x' , 'x' means '÷' and '÷' means '+' Which combination will give you the value of '0' in 42*4*12*20*9?
Options- A. ÷ + - x
- B. ÷ - + x
- C. - ÷ x +
- D. x - ÷ + Discuss
Correct Answer: - ÷ x +
Explanation:
The given expression is 42*4*12*9 = 0
From option (c), 42, - 4 ÷ 12 x 20 + 9
By coding, the equation becomes,
LHS ? 42 x 4 + 12 ÷ 20 - 9
By applying the operations in sequence, from left to right,
168 + 12 ÷ 20 - 9
180 ÷ 20 - 9
9 - 9 = 0 = R.H.S.
- 6. If - mean x , x means + , + means ÷ and ÷ means -. then
40 x 12 + 3 - 6 ÷ 60 =?
Options- A. 44
- B. 16
- C. 7.95
- D. 4 Discuss
Correct Answer: 4
Explanation:
40 + 12 ÷ 3 x 6 - 60
= 40 + 4 x 6 - 60
= 40 + 24 - 60
= 64 - 60 = 4
- 7. If + mean x, - means + , ÷ means + , x means - then the value of 162 x 52 - 26 ÷ 15 + 5
Options- A. 247
- B. 235
- C. 875
- D. 215 Discuss
Correct Answer: 235
Explanation:
162 - 52 ÷ 26 + 15 x 5
= 162 - 2 + 75 = 235
- 8. Statements:
L ? M < N > O ? P
Conclusions:
I. O < M II. P ? N
Options- A. If only conclusion I follows
- B. If only conclusion II follows
- C. If either conclusion I or II follows
- D. If neither conclusion I nor II follows Discuss
Correct Answer: If neither conclusion I nor II follows
Explanation:
If neither conclusion I nor II follows
- 9. Statements:
K * D, D S L, L @ J
Conclusions:
I. K S L II. K # J
Options- A. if only conclusion I is true
- B. if only conclusion II is true
- C. if either conclusion I or conclusion II is true
- D. if neither conclusion I nor conclusion II is true Discuss
Correct Answer: if only conclusion I is true
Explanation:
K ? D ...(i) D > L ...(ii) L < J ...(iii)
From (i) and (ii) K ? D > L or K > L ....(iv)
Hence I follows
However, From (iii) and (iv) J and H can't be compared . Hence II does not follow.
- 10. Statements:
T # J, J * I, I @ W
Conclusions:
I. J @ W II. T % I
Options- A. if only conclusion I is true
- B. if only conclusion II is true
- C. if either conclusion I or conclusion II is true
- D. if neither conclusion I nor conclusion II is true Discuss
Correct Answer: if neither conclusion I nor conclusion II is true
Explanation:
T ? J ...(i) J ? I ...(ii) I < W ...(iii)
From (ii) and (iii) J and W can't be compared. Hence I does not follow
From (i) and (ii) T and I can't be compared. Hence II does not follow
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