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- Question
In three coloured boxes - Red, Green and Blue, 108 balls are placed. There are twice as many balls in the green and red boxes combined as there are in the blue box and twice as many in the blue box as there are in the red box. How many balls are there in the green box ?
Options- A. 18
- B. 36
- C. 45
- D. None of these
- Correct Answer
- None of these
ExplanationLet R, G and B represent the number of balls in red, green and blue boxes respectively.
Then,
R + G + B = 108 ...(i),
G + R = 2B ...(ii)
B = 2R ...(iii)
From (ii) and (iii), we have G + R = 2x 2R = 4R or G = 3R.
Putting G = 3R and B = 2R in (i), we get:
R + 3R + 2R = 108 => 6R = 108 => R = 18.
Therefore Number of balls in green box = G = 3R = (3 x 18) = 54.
- 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
- 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
- 3. 15 ÷ 9 x 3 - 74 + 2 = 5
Options- A. + and -
- B. ÷ and x
- C. + and ÷
- D. - and ÷ Discuss
- 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
- 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
- 6. Insert the arithmetical operations in the following numerical figure-
4_3_4 = 48
Options- A. + +
- B. x +
- C. + -
- D. x x Discuss
- 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
- 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
- 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
- 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
More questions
Correct Answer: ÷ x +
Explanation:
From option (c),
8 * 8 * 1 * 7 = 8
? 8 ÷ 8 x 1 + 7 = 8
? 8 = 8
Correct Answer:
Explanation:
Statements
P < Q = R ? S ? T
Conclusions
I. T ? Q (true)
II. R > P (true)
Hence, both conclusions are definitely true.
Correct Answer: + and ÷
Explanation:
If we interchanges signs '+' and '÷', then the equation changes into
15 + 9 x 3 - 74 ÷ 2 = 15 + 27 - 37 = 5
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
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
Correct Answer: x x
Explanation:
4 x 3 x 4 = 48
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.
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
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:
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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