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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

Choose the CORRECT option about the two tangents drawn to the circle from the external point?

(1) The tangents subtend equal angles at the centre of the circle.

(2) The tangents drawn from the external point to a circle are equal in length.

(3) The tangents are equally inclined to the segment which joins the centre to that point.

A) 1 and 2 only B) 2 and 3 only
C) 1, 2 and 3 D) 1 and 3 only
 
Answer & Explanation Answer: C) 1, 2 and 3

Explanation:
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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

0 16878
Q:

1. The simple interest on a sum of money is Rs. 50. What is the sum?
I. The interest rate is 10% p.a.
II. The sum earned simple interest in 10 years

A) I alone sufficient while II alone not sufficient to answer B) II alone sufficient while I alone not sufficient to answer
C) Either I or II alone sufficient to answer D) Both I and II are necessary to answer
 
Answer & Explanation Answer: D) Both I and II are necessary to answer

Explanation:

Given : S.I. = Rs. 50.

I  gives,  R = 10% p.a.

II gives,  T = 10 years.

Sum = (100 x S.I)/(t x r ) =  Rs.(100 x 50)/(10 x 10) = Rs.50

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Filed Under: Simple Interest
Exam Prep: GRE

4 16872
Q:

A coach must choose five starters from a team of 12 players. How many different ways can the coach choose the starters ?

A) 569 B) 729
C) 625 D) 769
 
Answer & Explanation Answer: B) 729

Explanation:

Choose 5 starters from a team of 12 players. Order is not important.

 

12C5= 729

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Filed Under: Permutations and Combinations

7 16869
Q:

If the sides of a triangle are 26 cm, 24 cm and 10 cm, what is its area ?

A) 108 sq.cm B) 112 sq.cm
C) 116 sq.cm D) 120 sq.cm
 
Answer & Explanation Answer: D) 120 sq.cm

Explanation:

The triangle with sides 26 cm, 24 cm and 10 cm is right angled, where the hypotenuse is 26 cm.

Area of the triangle =1/2 x base x height => 1/2 x 24 x 10 = 120 sq.cm

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

19 16864
Q:

A number when divided by 779 gives a remainder 47. By dividing the same number by 19, what would be the remainder?

Answer

Number = ( 779 x a) + 47, where "a" is the quotient


           = (19 x 41 x a) + (19 x 2) + 9


           = 19 x (41a + 2) + 9


           = 19 x (New quotient) + 9


\inline \fn_jvn \therefore  Required remainder = 9

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Subject: Numbers

26 16861
Q:

A triangle has a perimeter 13. The two shorter sides have integer lengths equal to x and x + 1. Which of the following could be the length of the other side?

A) 4 B) 6
C) 8 D) None of the above
 
Answer & Explanation Answer: B) 6

Explanation:

The measure of the third side of a triangle must lie between the sum and the difference of the other two sides. Using this fact along with the answer choices, we can eliminate the wrong answers. 

 

    • Option A  cannot be correct because 4 would not be the longest side.(sides 4, 5, and 4)   

 

    • Option B could be correct because the other two sides would be 3 and 4.  

 

    • Option C cannot be correct because this third side would be greater than the sum of the other two sides.

 

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Filed Under: Area
Exam Prep: GRE

6 16794
Q:

The LCM of the three numbers 16, 28 and 42 is

 

A) 168 B) 2
C) 252 D) 336  
 
Answer & Explanation Answer: D) 336  

Explanation:
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Filed Under: HCF and LCM
Exam Prep: Bank Exams

1 16776
Q:

Two trains of equal length, running with the speeds of 60 and 40 kmph, take 50 seconds to cross each other while they are running in the same direction. What time will they take to cross each other if they are running in opposite directions  ?

A) 10 sec B) 11 sec
C) 12 sec D) 8 sec
 
Answer & Explanation Answer: A) 10 sec

Explanation:

Relative Speed = 60 -40 = 20 x 5/18 = 100/18

Time = 50

Distance = 50 x 100/18 = 2500/9

Relative Speed = 60 + 40 = 100 x 5/18

Time = 2500/9 x 18/500 = 10 sec.

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Filed Under: Problems on Trains
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

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