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- Question
Question: The last Sunday of March, 2006 fell on which date?
Statements:
- The first Sunday of that month fell on 5th.
- The last day of that month was Friday.
Options- A. I alone is sufficient while II alone is not sufficient
- B. II alone is sufficient while I alone is not sufficient
- C. Either I or II is sufficient
- D. Neither I nor II is sufficient
- E. Both I and II are sufficient
- Correct Answer
- Either I or II is sufficient
ExplanationFrom I, we conclude that 5th, 12th, 19th and 26th of March, 2006 were Sundays.So, the last Sunday fell on 26th.
From II, we conclude that 31st March, 2006 was Friday. Thus, 26th March, 2006 was the last Sunday of the month.
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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