Arithmetical Reasoning Questions

Q:

Consider the following information and answer the questions based on it.

 

Out of 60 people in a colony, 10 speak only Bengali, 5 speak only Assamese, 10 speak both Hindi and Odia, 12 speak both Marathi and Hindi, 13 speak English, Tamil and Marathi, 5 speak both Assamese and Hindi and the remaining speak both Bengali and Hindi.

 

How many people speak more than one language?

A) 15 B) 45
C) 50 D) 55
 
Answer & Explanation Answer: B) 45

Explanation:
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Q:

Use the following passage for the questions based on it.

 

There are 6 flats on a floor in two rows. Out of these, three are north facing and the other three are south facing flats. The flats are to be allotted amongst Arun, Biswajyot, Chitra, Derek, Evan, and Fatima. Biswajyot gets a north facing flat and is not next to Derek. Derek and Fatima get diagonally opposite flats. Chitra is next to Fatima, and gets a south facing flat. Evan gets a north facing flat.

 

Which of the following pairs is exactly opposite to each other?

A) Derek and Evan B) Fatima and Chitra
C) Evan and Chitra D) Evan and Arun
 
Answer & Explanation Answer: C) Evan and Chitra

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Q:

Multiplicative inverse of 0

A) 0 B) 1
C) infinity D) None of the above
 
Answer & Explanation Answer: D) None of the above

Explanation:

In the real numbers, zero does not have a reciprocal because no real number multiplied by 0 produces 1 (the product of any number with zero is zero).

 

Hence, 0 doesn't have any multiplicative inverse.

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Q:

O and O' are the center of the two circles with radii 7cm and 9cm respectively. The distance between the centers is 20cm. If PQ be the transverse common tangent to the circles, which cuts OO' at X, what is the length of O'X in cm ?

A) 10 B) 6
C) 35/4 D) 45/4
 
Answer & Explanation Answer: D) 45/4

Explanation:

As clear from the figure itself, triangle OQX and triangle O'PX are similar.

So,

OQ/O'P = OX/O'X

=> OX = (7/9)xO'X

And since, OX + O'X = 20

=> (7/9)xO'X + O'X = 20

=> O'X = 45/4

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Q:

Consider the following information and answer the questions based on it.

 

Out of 60 people in a colony, 10 speak only Bengali, 5 speak only Assamese, 10 speak both Hindi and Odia, 12 speak both Marathi and Hindi, 13 speak English, Tamil and Marathi, 5 speak both Assamese and Hindi and the remaining speak both Bengali and Hindi.

 

The ratio of people who speak Bengali to those who speak Marathi is

A) 15/32 B) 1/2
C) 3/4 D) 3/5
 
Answer & Explanation Answer: D) 3/5

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Q:

Read the following information and answer the following questions below.

 

Bindu is standing exactly in the middle of a line of girls. Asha is 6th to the left of Bindu and Ritu is 16th to Bindu's right.

 

What is Bindu's position in the line?

 

A) 11 B) 14
C) 16 D) 17
 
Answer & Explanation Answer: D) 17

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Q:

Consider the following information and answer questions based on it.

 

Six students Lily, Mary, July, Daisy, Rosy and Fairy are sitting in a circle facing each other such that -

1. Mary sits to the immediate right of July.

2. Lily does not sit near Fairy.

3. The student sitting on the immediate left of July, sits to the immediate right of Fairy.

4. Rosy does not sit to the immediate right of Mary.

 

If July leaves the circle, then who will be sitting to the immediate right of Lily?

 

A) Fairy B) Rosy
C) Daisy D) Cannot be determined
 
Answer & Explanation Answer: D) Cannot be determined

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Q:

Consider the following information and answer questions based on it.

 

Six students Lily, Mary, July, Daisy, Rosy and Fairy are sitting in a circle facing each other such that -

1. Mary sits to the immediate right of July.

2. Lily does not sit near Fairy.

3. The student sitting on the immediate left of July, sits to the immediate right of Fairy.

4. Rosy does not sit to the immediate right of Mary.

 

___ sits to the immediate left of Lily.

A) Daisy B) Mary
C) Rosy D) July
 
Answer & Explanation Answer: B) Mary

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