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- Question
Five farmers have 7,9,11,13 & 14 apple trees respectively in their orchards. Last year each of them discovered that every tree in their own orchard yields exactly the same number of apples. Further, if the 3rd farmer gives one apple to the 1st and the 5th gives 3 to each of the 2nd & d 4th, they would all exactly have the same number of apples, what were the yields per tree in the orchards of the 3rd & 4th farmers ?
Options- A. 17 & 9
- B. 9 & 11
- C. 9 & 9
- D. 11 & 9
- Correct Answer
- 11 & 9
ExplanationLet the number of apples in each tree of the 5 farmers be a, b, c, d,e respectively. Therefore total no of apples are 7a, 9b, 11c, 13d and 14e respectively.
Given,
7a+1 = 9b+3 = 11c-1 = 13d+3 = 14e-6 = x9b+3 = 13d+3
===> 9b = 13d
so take b = 13 and d = 99b+3 = 9*13+3 = 120
ie, x=120substituting
7a+1 = 120
7a = 119
a = 1711c-1 = 120
11c = 121
c=1114e-6 = 120
14e = 126
e = 9Yields per tree in the orchards of d 3rd & 4th farmers= 11,9
- 1. 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
- 2. 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
- 3. 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
- 4. 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
- 5. 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
- 6. In a family, each daughter has the same number of brothers as she has sisters and each son has twice as many sisters as he has brothers. How many sons are there in the family ?
Options- A. 1
- B. 2
- C. 3
- D. 4 Discuss
- 7. A bird lover was asked how many birds he had in the basket. He replied that there were all parrots but six, all pigeons but six, and all koel but six. How many birds he had in the basket in all ?
Options- A. 8
- B. 18
- C. 9
- D. 10 Discuss
- 8. It takes five minutes to pass a rumour from one person to two other persons. The tree of rumour continues. Find how many minutes does it take spread the rumour to 729 persons ?
Options- A. 45 min
- B. 25 min
- C. 30 min
- D. 36 min Discuss
- 9. If two is subtracted from each odd digit and three is added to each even digit in the number 94257636, how many digits will appear twice in the new number thus formed ?
Options- A. 0
- B. 1
- C. 2
- D. 3 Discuss
- 10. How many feet are in a meter?
Options- A. 3.214
- B. 3.28084
- C. 3.2516
- D. 3.21456 Discuss
Arithmetic Reasoning problems
Search Results
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.
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: 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: 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: 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: 3
Explanation:
Assume the family has X girls and Y boys, according to the question,
we can have 2 equations:
X-1=Y, 2(Y-2)=X.
Solve the equations, we get X=4, Y=3.
Correct Answer: 9
Explanation:
There were all parrots but six means that six birds were not parrots but only pigeons and koels.
Similarly, number of parrots + number of koels = 6 and number of parrots + number of pigeons = 6.
This is possible when there are 3 parrots, 3 pigeons and 3 koels i.e. 9 birds in all.
Correct Answer: 30 min
Explanation:
After 5 mins ..... 3 persons will get rumour
After 10 mins .... 3x2 + 3 = 9 =
persons will get
after 15 =5x3 min ......9x2 + 9 =27 =
persons will get news.
.
.
after 5x6 mins ...
= 729 persons will get news.
Therefore, time taken to spread the rumour to 729 persons is 30 minutes.
Correct Answer: 3
Correct Answer: 3.28084
Explanation:
We know that,
1 meter = 100 cms.
=> 1 meter = 3.28084 feet.
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