Quantitative Aptitude - Arithmetic Ability Questions

Q:

The ratio between the speeds of two trains is 7: 8. If the second train runs 400 kms in 4 hours, then the speed of the first train is ?

A) 83.5 km/hr B) 84.5 km/hr
C) 86.5 km/hr D) 87.5 km/hr
 
Answer & Explanation Answer: D) 87.5 km/hr

Explanation:

Let the speeds of two trains be 7X and 8X km/hr.

8x = 400/4

=> x= 12.5 km/hrX=4004=>X=12.5Km/hr

So speed of first train is 12.5*7 = 87.5 km/hr

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Filed Under: Time and Distance

63 34205
Q:

The number of diagonals in a decagon is:

 

A) 20 B) 10
C) 25 D) 35
 
Answer & Explanation Answer: D) 35

Explanation:
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Filed Under: Area
Exam Prep: Bank Exams

0 34180
Q:

The diluted wine contains only 8 liters of wine and the rest is water. A new mixture whose concentration is 30%, is to be  formed by replacing wine. How many liters of mixture shall be replaced with pure wine if there was initially 32 liters of water in the mixture ?

A) 4 B) 5
C) 8 D) None of these
 
Answer & Explanation Answer: B) 5

Explanation:

           Wine                         Water

            8L                              32L

            1                :               4

           20 %                           80% (original ratio)

           30 %                           70% (required ratio)

 

In  ths case, the percentage of water being reduced when the mixture is being replaced with wine.

 

so the ratio of left quantity to the initial quantity is 7:8

 

Therefore , 78=1-K40

 

=> K = 5 Lit

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Filed Under: Alligation or Mixture
Exam Prep: CAT , Bank Exams
Job Role: Bank PO , Bank Clerk

94 34155
Q:

Average of 10 numbers is 14. If each number is multiplied by 6, then what will be the new average?

 

A) 70 B) 84
C) 56 D) 92
 
Answer & Explanation Answer: B) 84

Explanation:
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Filed Under: Average
Exam Prep: Bank Exams

1 34099
Q:

Out of 9 persons, 8 persons spent Rs. 30 each for their meals. The ninth one spent Rs. 20 more than the average expenditure of all the nine. The total money spent by all of them was : 

A) Rs. 292.50 B) Rs. 297.50
C) Rs. 298 D) Rs. 298.50
 
Answer & Explanation Answer: A) Rs. 292.50

Explanation:

Let the average expenditure be Rs. x Then,

 

9x=[(8*30)+(x+20)]<=>9x =x+260 <=> x =32.50

 

Total money spent = 9x =  Rs. (9 x 32.5O) = Rs 292. 50

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95 34092
Q:

The diagonal of a rectangle is 41 cm and its area is 20 sq. cm. The perimeter of the rectangle must be:

A) 18 B) 28
C) 38 D) 48
 
Answer & Explanation Answer: A) 18

Explanation:

l2+b2=41 (or)   l2+b2=41  

Also, lb=20

l+b2=l2+b2+2lb  = 41 + 40 = 81

(l + b) = 9. 

Perimeter = 2(l + b) = 18 cm.

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

129 34074
Q:

When 0.36 is written in simplest form, the sum of the numerator and the denominator is :

A) 15 B) 34
C) 64 D) 13
 
Answer & Explanation Answer: B) 34

Explanation:

0.36 = 36/100 = 9/25.

Sum of the numerator and denominator is 9 + 25 = 34

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Filed Under: Decimal Fractions

76 34042
Q:

The average age of 36 students in a group is 14 years. When teacher's age is included to it, the average increases by one. What is the teacher's age in years ?

A) 35 years B) 45 years
C) 51 years D) 54 years
 
Answer & Explanation Answer: C) 51 years

Explanation:

Age of the teacher = (37 * 15 - 36 * 14) years = 51 years.

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Filed Under: Average

28 34032