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Q:

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 ?

A) 17 & 9 B) 9 & 11
C) 9 & 9 D) 11 & 9
 
Answer & Explanation Answer: D) 11 & 9

Explanation:

Let 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 = x

9b+3 = 13d+3
===> 9b = 13d
so take b = 13 and d = 9

9b+3 = 9*13+3 = 120
ie, x=120

substituting
7a+1 = 120
7a = 119
a = 17

11c-1 = 120
11c = 121
c=11

14e-6 = 120
14e = 126
e = 9

Yields per tree in the orchards of d 3rd & 4th farmers= 11,9

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Filed Under: Arithmetical Reasoning
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

24 24714
Q:

Variance of the data 2, 4, 5, 6, 8, 17 is 23.33. Then the variance of 4, 8, 10, 12, 16, 34 will be

 

A) 11.66 B) 46.66
C) 93.3333 D) 4.83
 
Answer & Explanation Answer: C) 93.3333

Explanation:
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Filed Under: Probability
Exam Prep: Bank Exams

5 24712
Q:

 

If the total number of bikes sold in 2009 was 6000, then according to the given data, bikes of which colours were sold equally?

 

A) Brown and black put together and green B) Yellow and green put together and golden
C) Blue and green put together and golden D) Silver and green put together and golden
 
Answer & Explanation Answer: A) Brown and black put together and green

Explanation:
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Filed Under: Bar Charts
Exam Prep: Bank Exams

0 24706
Q:

Which of the statements given below are correct?

 

A) In 2017, David Warner captained the IPL team Sunrisers Hyderabad.

B) In 2017, Romelu Lukaku played for the Premier League team Manchester City.

C) Canada hosted the Table Tennis 2017 ITTF Men's World Cup.

 

A) Only A B) Only B
C) Both B and C D)
 
Answer & Explanation Answer: A) Only A

Explanation:
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Filed Under: Sports
Exam Prep: Bank Exams

1 24704
Q:

Which of the statements given below are correct?

 

A) Lewis Hamilton won the Formula One 2017 Chinese Grand Prix.

B) Belgium hosted the Tennis 2017 Davis Cup Final.

C) Sebastian Vettel won the Formula One 2017 Brazilian Grand Prix.

 

A) Both A and C B) Both B and C
C) A, B and C D) None of these
 
Answer & Explanation Answer: A) Both A and C

Explanation:
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Filed Under: Sports
Exam Prep: Bank Exams

3 24686
Q:

A man invests Rs.5000 for 3 years at 5% p.a. compound interest reckoned yearly. Income tax at the rate of 20% on the interest earned is deducted at the end of each year. Find the amount at the end of the third year

A) Rs.5624.32 B) Rs.5423
C) Rs.5634 D) Rs.5976
 
Answer & Explanation Answer: A) Rs.5624.32

Explanation:

 

 

 

5% is the rate of interest. 20% of the interest amount is paid as tax.

 

i.e  80% of the interest amount stays back.

 

 if we compute the rate of interest as 80% of 5% = 4% p.a., we will get the same value.

  

The interest accrued for 3 years in compound interest = 3 x simple interest on principal + 3 x interest on simple interest + 1 x interest on interest on interest.

 

= 3 x (200) + 3 x (8) + 1 x 0.32 =600 + 24 + 0.32 = 624.32

 

 

 

The amount at the end of 3 years = 5000 + 624.32 = 5624.32

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Filed Under: Compound Interest
Exam Prep: Bank Exams
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26 24682
Q:

Afreena walks 8 km towards East and then walks 13 km back, then she turns left and walks 4 km; then walks 5 km after turning left; she turns left again and walks 3 km. How far is she from the starting point ?

A) 3 km B) 2 km
C) 1 km D) 6 km
 
Answer & Explanation Answer: C) 1 km

Explanation:

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Filed Under: Direction Sense Test
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Bank Clerk , Bank PO

75 24669
Q:

Select the picture which does not belong to the group.

 

 

 

A) B B) D
C) C D) A
 
Answer & Explanation Answer: A) B

Explanation:
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Filed Under: Image Analysis
Exam Prep: Bank Exams

1 24661