Exams


Q:

The following equation is incorrect. Which two signs should be interchanged to correct the equation?

 

26 - 2 x 30 ÷ 6 + 16 = 20

 

A) ÷ and x   B) - and +
C) x and - D) ÷ and -
 
Answer & Explanation Answer: B) - and +

Explanation:
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Filed Under: Coding and Decoding
Exam Prep: Bank Exams

2 17203
Q:

Consider the following statements:

1) The perimeter of a triangle is greater than the sum of its three medinas.

2) In any triangle ABC, if D is any point on BC, then AB + BC + CA > 2AD.

Which of the above statements is/are correct?

A) 1 only B) 2 only
C) Both 1 and 2 D) Neither 1 nor 2
 
Answer & Explanation Answer: C) Both 1 and 2

Explanation:
Let ABC be the triangle and D. E and F are midpoints of BC, CA and AB respectively.
Recall that the sum of two sides of a triangle is greater than twice the median bisecting the third side,(Theorem to be remembered)
Hence in ΔABD, AD is a median
AB + AC > 2(AD)
Similarly, we get
BC + AC > 2CF
BC + AB > 2BE
On adding the above inequations, we get
(AB + AC) + (BC + AC) + (BC + AB )> 2AD + 2CD + 2BE
2(AB + BC + AC) > 2(AD + BE + CF)
AB + BC + AC > AD + BE +CF
 
2.
To prove: AB + BC + CA > 2AD
Construction: AD is joined
Proof: In triangle ABD,
AB + BD > AD [because, the sum of any two sides of a triangle is always greater than the
third side]
----
1
In triangle ADC,
AC + DC > AD [because, the sum of any two
sides of a tri
angle is always greater than the
third side]
----
2
Adding 1 and 2 we get,
AB + BD + AC + DC > AD + AD
=> AB + (BD + DC) + AC > 2AD
=> AB + BC + AC > 2AD
Hence proved
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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

1 17178
Q:

Retired persons should not be appointed for the posts in organisations

Assumptions:

1. Retried persons may lack zeal and commitment to carry out executive's work

2. Retried persons do not take intrest in the work and welfare of new organisations

A) Only 1 is true B) Only 2 is true
C) Either 1 or 2 is true D) Neither 1 or 2 is true
 
Answer & Explanation Answer: D) Neither 1 or 2 is true

Explanation:

Since both 1 and 2 does not follow from the statement,so neither of them is implicit

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Filed Under: Statement and Assumptions
Exam Prep: GRE

3 17174
Q:

Optical fiber works on the principle of

A) Scattering B) interference
C) total internal reflection D) refraction
 
Answer & Explanation Answer: C) total internal reflection

Explanation:

Optical_fiber_works_on_the_principle_of1556277954.jpg image

 

Optical fiber works on the principle of total internal reflection.

 


The Total Internal Reflection is the phenomenon in which the complete reflection of a light ray reaching an interface with a less dense medium when the angle of incidence exceeds the critical angle.

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Filed Under: Physics
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40 17168
Q:

Rangaswamy Cup is associated with

A) Football B) Badminton
C) Cricket D) Hockey
 
Answer & Explanation Answer: D) Hockey

Explanation:

Rangaswamy Cup is associated with Hockey. Introduced in 1928, the Rangaswami Cup, was originally known as Inter-Provincial Tournament meant to pick up players for the national team for the Olympics.

Rangaswamy_Cup_is_associated_with1552387636.jpg image

After some years, The Hindu Group in 1951 presented the Rangaswami Cup that was named after one of its editors and since then the tournament is known as the Rangaswami Cup.

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5 17159
Q:

Eye Test Logical Challenge

lines1499317691.jpg image

A) 15 B) 14
C) 16 D) 17
 
Answer & Explanation Answer: A) 15

Explanation:
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Filed Under: Logic Puzzles
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Bank Clerk

58 17158
Q:

Arakan yoma is the extension of the himalayas located in

A) Myanmar B) West Bengal
C) Nagaland D) Baluchistan
 
Answer & Explanation Answer: A) Myanmar

Explanation:

Arakan yoma is the extension of the himalayas located in Myanmar. The Arakan Mountains are also known as the Rakhine Mountains.

 

Arakan_yoma_is_the_extension_of_the_himalayas_located_in1558508556.jpg image 

 

These are a mountain range in western Myanmar, between the coast of Rakhine State and the Central Myanmar Basin, in which the Irrawaddy River flows.

 

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Filed Under: Indian Geography
Exam Prep: CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk , Analyst

10 17150
Q:

Ratio of the ages of Mahesh and Nilesh is 5 : x. Mahesh is 18 years younger to Ramesh. After nine years Ramesh will be 47 years old. If the difference between the ages of Mahesh and Nilesh is same as the age of Ramesh, what is the value of x ?

A) 11.8 B) 12.9
C) 13.7 D) 14.5
 
Answer & Explanation Answer: D) 14.5

Explanation:

Let the present ages of Mahesh, Nilesh and Ramesh be k, l and m respectively.
k/l = 5/x ------ (1)
k = m - 18 ------ (2)
m + 9 = 47 ------ (3)
k - l = m ----- (4)
(3) => m = 47 - 9 = 38 years
(2) => k = 38 -18 = 20 years
(1) => 20/l = 5/x => l = 4x
(4) => 4x - 20 = 38
=> 4x = 58 => x = 14.5

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Filed Under: Problems on Ages
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27 17147