Exams


Q:

Which of the following statement is CORRECT about the tangents?

 

A) The tangents drawn at the end of diameter of a circle are parallel to each other.   B) The line segment which joins the point of contact of two parallel tangents to the circle is the diameter of the circle.  
C) Tangents drawn from the external points subtends equal angle at the center.   D) All option are correct.  
 
Answer & Explanation Answer: D) All option are correct.  

Explanation:
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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

1 24540
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
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24 24540
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
Job Role: Bank PO

26 24520
Q:

Which of the statements given below are correct?

A) Alexander Norén won the Golf 2017 Masters Tournament.

B) In 2017, Daniel Ricciardo raced in Formula One for Mercedes.

C) In 2017 Pro Kabaddi League, Suraj Desai played for Jaipur Pink Panthers.

 

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

Explanation:
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Filed Under: Sports
Exam Prep: Bank Exams

2 24492
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
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75 24449
Q:

Refer the below table and answer the following question.

If 400 calories are burned by jogging 5 km, then how many calories were burnt in the given week? 

A) 1890 calories B) 1840 calories
C) 1790 calories D) 1740 calories
 
Answer & Explanation Answer: B) 1840 calories

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

1 24435
Q:

The ratio of cost price and marked price of an article is 2:3 and ratio of percentage profit and percentage discount  is 3:2 . what is the discount percentage?

A) 16.66% B) 20%
C) 25% D) 33.33%
 
Answer & Explanation Answer: A) 16.66%

Explanation:

     CP : MP = 2x : 3x

 => Profit = x

 

( %) profit : (%) discount = 3:2

 

Let  CP = 2000,  SP = 300

 

But  3x100×200 + 2x100×300 = 100

 

=>  x = 8.33%

 

Discount 2x = 16.66% 

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Filed Under: Indian Politics
Exam Prep: AIEEE , Bank Exams , CAT
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50 24434
Q:

Rs. 5887 is divided between Shyam and Ram, such that Shyam's share at the end of 9 years is equal to Ram's share at the end of 11 years, compounded annually at the rate of 5%. Find the share of Shyam.

A) 3567 B) 3452
C) 3087 D) 3544
 
Answer & Explanation Answer: C) 3087

Explanation:

Shyam's share * (1+0.05)9 = Ram's share * (1 + 0.05)11

Shyam's share / Ram's share = (1 + 0.05)11 / (1+ 0.05)9 = (1+ 0.05)2 = 441/400

Therefore Shyam's share = (441/841) * 5887 = 3087

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Filed Under: Compound Interest
Exam Prep: Bank Exams
Job Role: Bank PO

17 24426