Arithmetical Reasoning Questions

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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Q:

What is the time required to punch 1500 cards of 45 column each at the rate of 9,000 punches per hour ?

A) 8 hrs B) 7 hrs 15 min
C) 7 hrs 30 min D) 8 hrs 20 min
 
Answer & Explanation Answer: C) 7 hrs 30 min

Explanation:

Total number of cards = 1500
total columns = 45
so, total punches=1500 x 45 = 67500
for 1 hour if we make 9000 punches,
we require 67500/9000 = 7.5
so 7hours:30mins.

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Q:

If x = √8 - √7, y = √6 - √5 and z = √10 - 3, which of the following is true  ?

A) x > y < z B) x < y < z
C) x > y > z D) z < x < y
 
Answer & Explanation Answer: D) z < x < y

Explanation:

x = √8 - √7 = 1/(√8 + √7) and y = √6 - √5 = 1/(√6 + √5) and z = √10 - 3 = 1/(√10 + 3)

As (√8 + √7) > (√6 + √5), (√8 - √7) < (√6 - √5)

As (√10 + 3) > (√8 + √7) > (√6 + √5)

z < x < y.

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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

Explanation:
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Q:

Directions to solve :

 

Five boys are sitting on a bench to be photographed. Sachin is to the left of Ram and to the right of Bin. Monty is to the right of Ram. Rony is between Ram and Monty.

 

Who is second from the left in the photograph?

A) Rony B) Monty
C) Bin D) Sachin
 
Answer & Explanation Answer: D) Sachin

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Q:

Hemavathi cut a cake into two halves and cuts one half into smaller pieces of equal size. Each of the small pieces is fifteen grams in weight. If she has nine pieces of the cake in all with her, how heavy was the original cake ?

A) 240 gms B) 280 gms
C) 180 gms D) 170 gms
 
Answer & Explanation Answer: A) 240 gms

Explanation:

The nine pieces consist of 8 smaller equal pieces and one half cake piece.
Weight of each small piece = 15 g.
So, total weight of the cake = [2 x (15 x 8)]g = 240 g.

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Q:

In a note collection, there is one new Rs.2000 note for every three old Rs.500 notes. 10 more new Rs.2000 notes are added to the collection and the ratio of new Rs.2000 notes to old Rs.500 notes would be 1: 2. Based on the information, the total number of notes in the collection now becomes?

A) 60 B) 30
C) 70 D) 90
 
Answer & Explanation Answer: D) 90

Explanation:

Let 'x' be the number of new Rs.2000 notes.

Given for one new 2000 note there are three old 500 notes.

i.e, 3x


Given 10 more new Rs.2000 notes are added to the collection
and the ratio of new Rs.2000 notes to old Rs.500 notes 


x+103x=12x=20

Therefore, number of new Rs.2000 notes =  x+10 = 30.

old Rs.500 notes = 3x = 60.

Thus, the total number of notes in the collection  = 30 + 60 = 90.

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Q:

Which of the following diagrams correctly represents elephants, wolves, animals?

   None

A) 1 B) 2
C) 3 D) 4
 
Answer & Explanation Answer: A) 1

Explanation:
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