Quantitative Aptitude - Arithmetic Ability Questions

Q:

If 78K928L is divisible by 6, then which of the following can Q and R take ?

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

Explanation:

As per divisibility rule a number is divisible by 6 means it should be divisible by 2 and 3

case 1 : the divisibility rule for 2 is the number should be end with even number
in this case R =2 & R=4


case 2 : The divisibility rule for 3 is the sum of numbers should be divisible by 3
so if we take option (2) Q=1 & R=4 the sum is 39
if we take option (3) Q=1 & R=2 the sum is 37

So Option (2) is correct 39 is divided by 3

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Q:

There is a 3 digited number. 3rd digit is the square root of the 1st digit. 2nd digit is the sum of 1st and 3rd. And that number is divisible by 2,3,6,7. What is that number?

A) 121 B) 943
C) 462 D) None
 
Answer & Explanation Answer: C) 462

Explanation:

Assume that the number is taken as XYZ.
Condition 1 => Z = sq.root(x) => Possible digits of X is 1,4,9
Condition 2 => Y = X + Z
X Y Z
1 2 1
4 6 2
9 12 3 => (wrong because it is 4 digit.)

and 121 is not divisible by 2

The answer is 462.

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Q:

What is the probability that a number is divisible by 4?

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

Explanation:

Probability is Number of favourable outcomes by total outcomes

Total comes = 2 (Divisible or not)

Favourable = 1 (Divisible)

 

Hence, probability = 1/2.

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Q:

If 27th December 2009 was a Thursday, then what day of the week was it on 1st March 2010?

A) Thursday B) Friday
C) Sunday D) Monday
 
Answer & Explanation Answer: B) Friday

Explanation:
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Q:

Manogna's father was 38 years of age when she was born while her mother was 36 years old when her brother, 4 years younger than her, was born. What is the difference between the ages of her parents?

A) 2 years B) 4 years
C) 6 years D) 8 years
 
Answer & Explanation Answer: C) 6 years

Explanation:

From the given data,

Manogna’s age be 0 when she was born.

Her father’s age = 38 years

Her mother’s age when Manogna’s brother who is 4 years younger to her was born = 36 years

=> Manogna’s mother age when Manogna was born = 36 - 4 = 32 years

 

Hence, the difference between the ages of Manogna’s parents = 38 - 32 = 6 years.

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Q:

Find the present worth of a bill of Rs.28000 due 2 years at 12% compound interest. Also find the true discount.

A) 300 B) 350
C) 250 D) 275
 
Answer & Explanation Answer: A) 300

Explanation:

PW = Amount1+R100T=28001+121002   = Rs.2500 

 

TD = Amount - PW = 2800 - 2500 = Rs.300

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Q:

Find the simple interest charged on borrowing $325 for 5 years at 3% p.a. (per annum or per year) interest.

A) 59 B) 46
C) 48.75 D) 34.75
 
Answer & Explanation Answer: C) 48.75

Explanation:

I= PTR100

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Q:

One girl can eat 112 chocolates in half a minute, and her boy friend can eat half as many in twice the length of time. How many chocolates can both boy and girl eat in 12 seconds ?

A) 44 B) 32
C) 56 D) 49
 
Answer & Explanation Answer: C) 56

Explanation:

Girl eats 112 chocolates in 30 sec

so she can eat in 12 sec is 12 x 112/30 = 44.8 chocolates.

 

Her boy friend can eat one-half of 112 in twice of 30 sec

so he can eat 56 in 60 sec


Then he can eat in 12 sec is 56 x 12/60 = 11.2 chocolates.

 

Hence, together they can eat = 44.8 + 11.2 =56 chocolates in 12 seconds.

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