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- Question
Two bus tickets from city A to B and three tickets from city A to C cost Rs. 77 but three tickets from city A to B and two tickets from city A to C cost Rs. 73. What are the fares for cities B and C from A?
Options- A. Rs. 4, Rs. 23
- B. Rs. 13, Rs. 17
- C. Rs. 15, Rs. 14
- D. Rs. 17, Rs. 13
- Correct Answer
- Rs. 13, Rs. 17
ExplanationLet Rs. x be the fare of city B from city A and Rs. y be the fare of city C from city A.Then, 2x + 3y = 77 ...(i) and
3x + 2y = 73 ...(ii)
Multiplying (i) by 3 and (ii) by 2 and subtracting, we get: 5y = 85 or y = 17.
Putting y = 17 in (i), we get: x = 13.
More questions
- 1. Select the correct combination of mathematical signs to replace * signs and to balance the following equation
8 * 8 * 1 * 7 = 8
Options- A. x ÷ +
- B. + ÷ x
- C. ÷ x +
- D. + x ÷ Discuss
Correct Answer: ÷ x +
Explanation:
From option (c),
8 * 8 * 1 * 7 = 8
? 8 ÷ 8 x 1 + 7 = 8
? 8 = 8- 2. Statements
P < Q = R ? S ? T
Conclusions
I. T ? Q
II. R > P
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:
Explanation:
Statements
P < Q = R ? S ? T
Conclusions
I. T ? Q (true)
II. R > P (true)
Hence, both conclusions are definitely true.- 3. 15 ÷ 9 x 3 - 74 + 2 = 5
Options- A. + and -
- B. ÷ and x
- C. + and ÷
- D. - and ÷ Discuss
Correct Answer: + and ÷
Explanation:
If we interchanges signs '+' and '÷', then the equation changes into
15 + 9 x 3 - 74 ÷ 2 = 15 + 27 - 37 = 5- 4. If '+' means '÷', 'x' means '+', '-' means 'x' and '÷' means '-', then which of the following equation is correct?
Options- A. 36 + 6 x 3 + 2 = 20
- B. 36 + 6 - 3 x 2 = 20
- C. 36 x 6 + 3 - 2 < 20
- D. 36 x 6 + 3 x 2 > 20 Discuss
Correct Answer: 36 + 6 - 3 x 2 = 20
Explanation:
Solve all option one by one,
36 + 6 - 3 x 2 = 20
After changing the symbol as per question,
36 ÷ 6 x 3 + 2 = 20
Apply the BODMAS rule,
? 6 x 3 + 2 = 20
? 18 + 2 = 20
? 20 = 20- 5. 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- 6. Insert the arithmetical operations in the following numerical figure-
4_3_4 = 48
Options- A. + +
- B. x +
- C. + -
- D. x x Discuss
Correct Answer: x x
Explanation:
4 x 3 x 4 = 48
- 7. Statements:
D * R, R % F, F S T
Conclusions:
I. F % D II. F S D III. T © R
Options- A. Only I is true
- B. Only II is true
- C. Only III is true
- D. Only either I or II is true Discuss
Correct Answer:
Explanation:
D ? N ...(i) R = F ...(ii) F > T ...(ii)
From (i) and (ii) D ? R = F or D ? F or F ? D.
Hence either I (F = D ) or II (F > D) follows
From (ii) and (iii) R = F > T or R > T or T < R.
Hence III follows.- 8. Statements:
M S T, T @ K, K © D
Conclusions:
I. D S T II. K S M
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:
M < T ... (i) T > K ...(ii) K = D ...(iii)
From (ii) and (iii) T > K = D or D < T.
Hence I follow
From (i) and (ii) K and M can't be compared
Hence II does not follow- 9. Statements:
N < O ? R > T; R < A; B ? T
Conclusions:
I. N < A II. B < A
Options- 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 Discuss
Correct Answer: if only conclusion II is true
Explanation:
N < O ? R > T; R < A; B ? T
Check for I:
N < O ? R > T
? No definite relation can be found between N and A.
Check for II:- 10. Which one of the four interchange in signs or numbers would make the given equation correct?
6 x 4 + 2 = 16
Options- A. + and x, and 4
- B. + and x, 2 and 4
- C. + and x, 4 and 6
- D. None of these Discuss
Correct Answer: + and x, 4 and 6
Explanation:
Apply all option one by one.
? 6 x 4 + 2 = 16 ? 4 + 6 x 2 = 16 ? 4 + 12 = 16
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