Aptitude and Reasoning Questions

Q:

A sum of money invested for a certain number of years at 8% p.a. simple interest grows to Rs.180. The same sum of money invested for the same number of years at 4% p.a. simple interest grows to Rs.120 only. For how many years was the sum invested?

A) 25years B) 15years
C) 20years D) 22years
 
Answer & Explanation Answer: A) 25years

Explanation:

From the information provided we know that,

Principal + 8% p.a. interest on principal for n years = 180 …….. (1)

Principal + 4% p.a. interest on principal for n years = 120 ……… (2)

Subtracting equation (2) from equation (1), we get

4% p.a. interest on principal for n years = Rs.60.

Now, we can substitute this value in equation (2),

i.e Principal + 60 = 120

= Principal = Rs.60.

We know that SI = , where p is the principal, n the number of years and r the rate percent of  interest.

In equation (2), p = Rs.60, r = 4% p.a. and the simple interest = Rs.60.

Therefore, 60 =(60*n*4)/100

=> n = 100/4 = 25 years.

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Filed Under: Simple Interest
Exam Prep: Bank Exams
Job Role: Bank PO

17 21870
Q:

A milk man has 20 liters of milk. If he mixes 5 liters of water, which is freely available, in 20 liters of pure milk.If the cost of pure milk is Rs.18 per liter,then the profit of the milkman, when he sells all the mixture at cost price is:

A) 20% B) 25%
C) 33.33% D) 18%
 
Answer & Explanation Answer: B) 25%

Explanation:

when the water is freely available and all the water is sold at the price of the milk, then the water gives the profit on the cost of 20 liters of milk.

 Therefore, profit percentage = (5/20) x 100 =25 %       [ Profit %= (Profit/C.P)*100]

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Filed Under: Profit and Loss

55 21834
Q:

A polygon has 44 diagonals, then the number of its sides are ?

A) 13 B) 9
C) 11 D) 7
 
Answer & Explanation Answer: C) 11

Explanation:

Let the number of sides be n. 

The number of diagonals is given by nC2 - n  

Therefore, nC2 - n = 44, n>0 

nC2 - n = 44

n- 3n - 88 = 0 

n2 -11n + 8n - 88 = 0  

n(n - 11) + 8(n - 11) = 0 

n = -8 or n = 11.

 

As n>0, n will not be -8. Therefore, n=11.

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Filed Under: Permutations and Combinations
Exam Prep: GRE , GATE , CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk , Analyst

25 21826
Q:

Which of the following statements is/are true or false?

 

Statements :

 

A) Natrium is the Latin name of Sodium

B) Argentum is the Latin name of Silver

 

A) Only statement A is true B) Only statement B is true
C) Both statements A and B are true D) Both statements A and B are false
 
Answer & Explanation Answer: C) Both statements A and B are true

Explanation:
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Filed Under: Statement and Conclusions
Exam Prep: Bank Exams

1 21822
Q:

A district has 64000 inhabitants. If the population increases at the rate of 2 * 1/2 % per annum, then the number of inhabitants at the end of 3 years will be : 

A) 65380 B) 68921
C) 70987 D) 72345
 
Answer & Explanation Answer: B) 68921

Explanation:

Population afer 3 years = 64000 * (1 +  5/(2 *100) )^3 = (64000 * 41/40 * 41/40 * 41/40 ) = 68921..

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Filed Under: Percentage

57 21805
Q:

Select the related word/letters/number from the given alternatives.

 

RST:QPO:: MNO:: ?

 

A) YZA B) GHI
C) BAC D) LKJ
 
Answer & Explanation Answer: D) LKJ

Explanation:
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Filed Under: Alphabet Test
Exam Prep: Bank Exams

0 21780
Q:

Choose the word which is least like the others word in a group?

A) Day B) Calendar
C) Date D) Month
 
Answer & Explanation Answer: B) Calendar

Explanation:

All others are parts of a calendar.

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Filed Under: Classification

99 21771
Q:

Two persons start running simultaneously around a circular track of length 300 m from the same point at speeds of 15 km/hr and 25 km/hr. When will they meet for the first time any where on the track if they are moving in opposite directions  ?

A) 27 sec B) 31 sec
C) 23 sec D) 29 sec
 
Answer & Explanation Answer: A) 27 sec

Explanation:

Time taken to meet for the first time anywhere on the track

= length of the track / relative speed

= 300 / (15 + 25)5/18 = 300x 18 / 40 x 5 = 27 seconds.

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

24 21769