Exams


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 21894
Q:

Find the number of zeroes in 129!

 

A) 31 B)  33    
C)  35   D) 37
 
Answer & Explanation Answer: A) 31

Explanation:
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Filed Under: Problems on Numbers
Exam Prep: Bank Exams

0 21867
Q:

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

 

8 + 2 - 40 ÷ 5 x 16 = 44

 

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

Explanation:
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Filed Under: Arithmetical Reasoning
Exam Prep: Bank Exams

1 21858
Q:

Permanent Hardness of water can be removed by adding

A) Bleaching powder B) Chlorine
C) Wasshing soda D) Potassium permanganate
 
Answer & Explanation Answer: C) Wasshing soda

Explanation:

Hardness can be removed by adding sodium carbonate (washing soda) or by passing the water through an ion-exchange column.

 

Hardness in water is caused by dissolved magnesium ions and calcium ions. These can get into the water when it comes into contact with limestone and other rocks that contain calcium compounds. This can happen, for example, when rainwater flows over these rocks on its way to a reservoir.

 

Hardness in water is of two types. They are :

1. Temporary hardness

2. Permanent hardness

 

1. Temporary hardness:: Temporary hardness is caused by dissolved calcium hydrogen carbonate.


2. Permanent hardness:: Permanent hardness is caused by dissolved calcium sulfate. Unlike temporary hardness, it is not removed by boiling the water.

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Filed Under: Chemistry
Exam Prep: AIEEE , Bank Exams
Job Role: Analyst , Bank Clerk , Bank PO

25 21854
Q:

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

 

12 - 16 x 25 ÷ 80 + 10 = 7

 

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

3 21849
Q:

In the following question, select the related number from the given alternatives.

 

52 : 57 : : 46 : ?

 

A) 53   B) 49  
C) 55   D) 51
 
Answer & Explanation Answer: D) 51

Explanation:
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Filed Under: Analogy
Exam Prep: Bank Exams

0 21844
Q:

Which of the statements given below are correct?

 

A) Grigor Dimitrov won the Tennis 2017 ATP World Tour Finals Men's Singles.

B) In 2017, Sergio Aguero played for the Premier League team Liverpool.

C) In 2017, Rohit Sharma captained the IPL team Mumbai Indians.

 

A) Both A and C B) Both A and B
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

1 21840
Q:

The largest measuring cylinder that can accurately fill 3 tanks of capacity 98, 182 and 266 litres each, is of capacity ?

A) 7 lts B) 14 lts
C) 98 lts D) 42 lts
 
Answer & Explanation Answer: B) 14 lts

Explanation:

To know the the measuring cylinder that can fill all the given capacities , they must be divisible by the required number.

98,182,266 all are divisible by 14
So  14 litres  is the largest cylinder that can fill all the given cylinders.

                                       (or)

The other method is take HCF of all given capacities i.e 98, 182 and 266.

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Filed Under: HCF and LCM
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

21 21830