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- Question
A man has a certain number of small boxes to pack into parcles. If he packs 3, 4, 5 or 6 in a parcel, he is left with one over; if he packs 7 in a parcle, none is left over. What is the number of boxes, he may have to pack?
Options- A. 106
- B. 301
- C. 309
- D. 400
- Correct Answer
- 301
ExplanationClearly, the required number would be such that it leaves a remainder of 1 when divided by 3, 4, 5, or 6 and no remainder when divided by 7. Thus, the number must be of the form (L.C.M of 3, 4, 5, 6) x + 1 i.e., (60x + 1 ) and a multiple of 7. Clearly, for x = 5, the number is a multiple of 7. So the number is 301.
- 1. In a certain office, 1/3 of workers are women, 1/2 of the women are married and 1/3 of the married women have children. If 3/4 of the men are married and 2/3 of the married men have children, what part of the workers are without children?
Options- A. 5/18
- B. 4/9
- C. 11/18
- D. 17/36 Discuss
- 2. A cow was standing on a bridge, 5m away from the middle of the bridge. A train was coming towards the bridge from the ends nearest to the cow. Seeing this cow ran towards the the train and managed to escape when the train was 2m away from bridge. If it had run in the opposite direction, it would hit by the train 2m before the end of the bridge. What is the lenght of the bridge in meters assuming the speed of the train is 4 times that of cow ?
Options- A. 22 mts
- B. 28 mts
- C. 32 mts
- D. 34 mts Discuss
- 3. 7 is to 34 as 5 is to
Options- A. 33
- B. 24
- C. 54
- D. 41 Discuss
- 4. Ravi's brother is 3 years senior to him. His father was 28 years of age when his sister was born while his mother was 26 years of age when he was born. If his sister was 4 years of age when his brother was born, what were the ages of Ravi's father and mother respectively when his brother was born ?
Options- A. 32 years, 23 years
- B. 32 years, 29 years
- C. 35 years, 29 years
- D. 35 years, 33 years Discuss
- 5. A, B, C, D and E play a game of cards. A says to B, "If you give me 3 cards, you will have as many as I have at this moment while if D takes 5 cards from you, he will have as many as E has." A and C together have twice as many cards as E has. B and D together also have the same number of cards as A and C taken together. If together they have 150 cards, how many cards has C got ?
Options- A. 28
- B. 29
- C. 31
- D. 35 Discuss
- 6. The following question is based on the given data for an examination. A. Candidates appeared 10500 B. Passed in all the five subjects 5685 C. Passed in three subjects only 1498 D. Passed in two subjects only 1250 E. Passed in one subject only 835 F. Failed in English only 78 G. Failed in Maths only 275 H. Failed in Physics only 149 I. Failed in Chemistry only 147 J. Failed in Biology only 221 How many candidates passed in at least four subjects ?
Options- A. 6555
- B. 5685
- C. 1705
- D. 870 Discuss
- 7. Ajay and Vijay have some marbles with them. Ajay told Vijay "if you give me 'x' marbles, both of us will have equal number of marbles". Vijay then told Ajay "if you give me twice as many marbles, I will have 30 more marbles than you would". Find 'x' ?
Options- A. 4
- B. 10
- C. 8
- D. 5 Discuss
- 8. In a note collection, there is one new Rs.2000 note for every three old Rs.500 notes. 10 more new Rs.2000 notes are added to the collection and the ratio of new Rs.2000 notes to old Rs.500 notes would be 1: 2. Based on the information, the total number of notes in the collection now becomes?
Options- A. 60
- B. 30
- C. 70
- D. 90 Discuss
- 9. The cost of 7 tables and 12 chairs is Rs 48,250. What is the cost of 21 tables and 36 chairs ?
Options- A. Rs. 1,44,750
- B. Rs. 2,35,745
- C. Rs. 89,489
- D. Rs.74,256 Discuss
- 10. Khushi bought the bangles of equal number of Rs. 34 per piece, Rs. 42 per piece and Rs. 6 per piece. She spends total Rs. 1722 on all types of bangles. How many bangles did she buy of each type ?
Options- A. 27
- B. 13
- C. 17
- D. 21 Discuss
Arithmetic Reasoning problems
Search Results
Correct Answer: 11/18
Explanation:
Let the total number of workers be x. Then,
Number of women = x/3 and number of men = x - x/3 = 2x/3
Number of women having children = x/18
Number of men having children = x/3
Number of workers having children = (x/18) + (x/3) = 7x/18
Therefore, workers having no children = x - 7x/18 = 11/18 of all workers.
Correct Answer: 32 mts
Explanation:
let 'b' be the Length of bridge from cow to the near end of the bridge and 'a' be the distance of the train from the bridge.
'x' be speed of cow => '4x' speed of train
Then the total length of the bridge 2b + 10.
(a-2)/4x = b/x
=> a-2 = 4b........(1)
Now if it had run in opposite direction
(a+2b+10-2)/4x = (b+10-2)/x
=> a - 2b = 24......(2)
Solving (1) and (2)
b = 11 ,
Therefore length of the bridge is 2 x 11 + 10 = 32mts.
Correct Answer: 41
Explanation:
We can get this by any of two explanations.
Answer 1: 41
7 = 3 + 4 = 34
Similarly, 5 = 4 + 1 = 41
Answer 2 : 41
7 - 3 = 4 => 34
Similarly, 5 - 4 = 1 => 41
Correct Answer: 32 years, 23 years
Explanation:
When Ravi's brother was born, let Ravi's father's age = x years and mother's age = y years.
Then, sister's age = (x - 28) years. So, x - 28 = 4 or x = 32.
Ravi's age = (y - 26) years. Age of Ravi's brother = (y - 26 + 3) years = (y - 23) years.
Now, when Ravi's brother was born, his age = 0 i.e. y - 23 = 0 or y = 23.
Correct Answer: 28
Explanation:
Clearly, we have :
A = B - 3 ...(i)
D + 5 = E ...(ii)
A+C = 2E ...(iii)
B + D = A+C = 2E ...(iv)
A+B + C + D + E=150 ...(v)
From (iii), (iv) and (v), we get: 5E = 150 or E = 30.
Putting E = 30 in (ii), we get: D = 25.
Putting E = 30 and D = 25 in (iv), we get: B = 35.
Putting B = 35 in (i), we get: A = 32.
Putting A = 32 and E = 30 in (iii), we get: C = 28.
Correct Answer: 6555
Explanation:
Candidates passed in atleast four subjects
= (Candidates passed in 4 subjects) + (Candidates Passed in all 5 subjects)
= (Candidates failed in only 1 subject ) + ( Candidates passed in all subjects)
= (78 + 275 + 149 + 147 + 221) + 5685 = 870 + 5685 = 6555
Correct Answer: 5
Explanation:
If Vijay gives 'x' marbles to Ajay then Vijay and Ajay would have V - x and A + x marbles.
V - x = A + x --- (1)
If Ajay gives 2x marbles to Vijay then Ajay and Vijay would have A - 2x and V + 2x marbles.
V + 2x - (A - 2x) = 30 => V - A + 4x = 30 --- (2)
From (1) we have V - A = 2x
Substituting V - A = 2x in (2)
6x = 30 => x = 5.
Correct Answer: 90
Explanation:
Let 'x' be the number of new Rs.2000 notes.
Given for one new 2000 note there are three old 500 notes.
i.e, 3x
Given 10 more new Rs.2000 notes are added to the collection
and the ratio of new Rs.2000 notes to old Rs.500 notes
Therefore, number of new Rs.2000 notes = x+10 = 30.
old Rs.500 notes = 3x = 60.
Thus, the total number of notes in the collection = 30 + 60 = 90.
Correct Answer: Rs. 1,44,750
Explanation:
3T+12C = 48,250----(1)
21T+36C = ?
multiply eq (1) with 3
i.e,, 3(7T+12C) = 48,250*3
21T+36C = 1,44,750/-
Correct Answer: 21
Explanation:
Let number of bangles kushi purchase of each type = x
From the given data,
34x + 42x + 6x = 1722
x = 1722/82 = 21.
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