Mathematical Operations problems
- 1. Statements:
W © K, K ? R, R % N
Conclusions:
I. N @ K II. R @ W III. W ? N
Options- A. Only I and II are true
- B. Only either II or III is true
- C. Only II and III are true
- D. Only I and III are true Discuss
Correct Answer:
Explanation:
W ? K ...(i) K > R ....(ii) R = N ...(iii)
Combining these we get W ? K > R = N
Hence N < K and I follows
Again R < W and II follows.
And, W > N III follows.
- 2. Statements:
H * W, W @ N, N % R
Conclusions:
I. R ? W II. N ? W III. H @ R
Options- A. Only I and II are true
- B. Only II and III are true
- C. Only I and III are true
- D. All I, II and III are true Discuss
Correct Answer: All I, II and III are true
Explanation:
H ? W ..(i) W < N ...(ii) R = N ...(iii)
Combining these we get H ? W < N = R
Hence R > W and I follows
Again N > W and II follows
And, H < R III follows
- 3. Statements:
Z % M, M * F, F ? D
Conclusions:
I. F % Z II. F ? Z III. D @ Z
Options- A. Only I is true
- B. Only either I or II is true
- C. Only II is true
- D. Only III is true Discuss
Correct Answer: Only either I or II is true
Explanation:
Z = M ...(i) M ? F ...(ii) F > D ...(iii)
From (i) and (ii) Z = M ? F or F ? Z ...(iv)
Hence either F = Z (I is true) or F > Z (II follows)
From (iii) and (iv) no relationship can be established between D and Z Hence III does not follow.
- 4. Statements:
D @ K, K % F, F © B
Conclusions:
I. F ? D II. B @ K III. B % K
Options- A. Only I is true
- B. Only II is true
- C. Only III is true
- D. Only either II or III is true Discuss
Correct Answer:
Explanation:
D < K ...(i) K = F ...(ii) F ? B ...(iii)
From (i) and (ii) D < K = F or F > D
Hence I is true
From (ii) and (iii) K = F ? B or B ? K. Hence either II
(B < K) or (B = K) is true
- 5. Find the correct group of signs to solve the equation.
24 * 16 * 8 * 32
Options- A. ÷ - =
- B. - + =
- C. x ÷ =
- D. + - = Discuss
Correct Answer: + - =
Explanation:
Solve by using all option one by one.
Given equation is
24 * 16 * 8 * 32
Taking the sign of option (D),
? 24 + 16 - 8 = 32
Apply the BODMAS Rule in equation.
? 40 - 8 = 32 ? 32 = 32
Hence, correct group of sign is option (b).
- 6. If A + B = 2C and C + D = 2A, then
Options- A. A + C = B + D
- B. A + C = 2D
- C. A + D = B + C
- D. A + C = 2B Also asked in: AIEEE, Bank Exams, GRE, TOEFL, Bank Clerk
Correct Answer: A + C = B + D
Explanation:
Given,
A + B = 2C ----(i)
C + D = 2A----(ii)
Adding (i) and (ii) we get : A + B + C + D = 2C + 2A
=> B + D = A + C
- 7. Find out the two signs to be interchanged for making following equation correct 5 + 3 x 8 - 12 / 4 =3
Options- A. + and -
- B. - and /
- C. + and x
- D. + and / Discuss
Correct Answer: - and /
Explanation:
On interchanging - and /, we get the equation as
5 + 3 x 8 / 12 - 4 = 3
or 5 + 3 x (2/3) - 4 = 3
or 3 = 3, which is true.
- 8. Given interchanges : Signs + and - , numbers 4 and 8.
Options- A. 4 + 8 - 12 = 12
- B. 4 - 8 + 12 = 0
- C. 8 + 4 - 12 = 24
- D. 8 - 4 + 12 = 8 Discuss
Correct Answer: 4 - 8 + 12 = 0
Explanation:
On interchanging + and - and 4 and 8 in (b),
we get the equation as
8 + 4 - 12 = 0
or 12 - 12 = 0
or 0 = 0, which is true.
- 9. If × stands for 'addition', ÷ stands for 'subtraction', + stands for 'multiplication' and-stands for 'division', then 20 × 8 ÷ 8 - 4 + 2 = ?
Options- A. 80
- B. 25
- C. 24
- D. 5 Discuss
Correct Answer: 24
Explanation:
By the Given data , We have the expression:
20 + 8 - 8 ÷ 4 × 2 = 20 + 8 - 2 × 2 = 20 + 8 - 4 = 24.
- 10. Given intercharges : Signs + and x and numbers 4 and 5.
Options- A. 5 x 4 + 20 = 40
- B. 5 x 4 + 20 = 85
- C. 5 x 4 + 20 = 104
- D. 5 x 4 + 20 = 95 Discuss
Correct Answer: 5 x 4 + 20 = 104
Explanation:
On interchanging + and x and 4 and 5 in (c),
we get the equation as
4 + 5 x 20 = 104 or 104 = 104, which is true.
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