6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

H.C.F of 4 x 27 x 3125, 8 x 9 x 25 x 7 and 16 x 81 x 5 x 11 x 49 is

A) 180	B) 360
C) 540	D) 1260

Answer & Explanation Answer: A) 180

Explanation:

$4 \times 27 \times 3125 = 2^{2} \times 3^{3} \times 5^{5}$

$8 \times 9 \times 25 \times 7 = 2^{3} \times 3^{2} \times 5^{2} \times 7$

$16 \times 81 \times 5 \times 11 \times 49 = 2^{4} \times 3^{4} \times 5 \times 7^{2} \times 11$

Therefore, H.C.F = $2^{2} \times 3^{2} \times 5$ = 180

$\inline \fn_jvn \therefore$ $\inline \fn_jvn H.C.F =2^{2}\times 3^{2}\times 5=180$

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Filed Under: HCF and LCM

75 23794

Q:

In a Plane there are 37 straight lines, of which 13 pass through the point A and 11 pass through the point B. Besides, no three lines pass through one point, no lines passes through both points A and B , and no two are parallel. Find the number of points of intersection of the straight lines.

A) 525	B) 535
C) 545	D) 555

Answer & Explanation Answer: B) 535

Explanation:

The number of points of intersection of 37 lines is $C_{2}^{37}$ . But 13 straight lines out of the given 37 straight lines pass through the same point A.

Therefore instead of getting $C_{2}^{13}$ points, we get only one point A. Similarly 11 straight lines out of the given 37 straight lines intersect at point B. Therefore instead of getting $C_{2}^{11}$ points, we get only one point B.

Hence the number of intersection points of the lines is $C_{2}^{37} - C_{2}^{13} - C_{2}^{11} + 2$ = 535

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

43 23783

Q:

In some quantity of ghee, 60% is pure ghee and 40% is vanaspati. If 10 kg of pure ghee is added, then the strength of vanaspati ghee becomes 20%. The original quantity was :

A) 10 kg	B) 15 kg
C) 20 kg	D) 25 kg

Answer & Explanation Answer: A) 10 kg

Explanation:

Let the original quantity be x kg. Vanaspati ghee in x kg = (40x / 100 )kg = (2x / 5) kg.

Now, (2x/5)/(x + 10) = 20/100

=> 2x / (5x + 50) = 1/5

=> 5x = 50

=> x = 10.

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Filed Under: Percentage

54 23782

Q:

The difference between the simple interest received from two different sources on Rs.1500 for 3 years is Rs.13.50. The difference between their rates of interest is

A) 0.1%	B) 0.2%
C) 0.3%	D) 0.4%

Answer & Explanation Answer: C) 0.3%

Explanation:

(1500 x R1 x 3)/100

=> 4500 (R1-R2) = 1350

=> (R1-R2)= 1350/4500 = 0.3 %

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Filed Under: Simple Interest
Exam Prep: GRE

48 23722

Q:

The cash difference between the selling prices of an article at a profit of 4% and 6% is Rs 3. The ratio of two selling prices is

A) 51:52	B) 52:53
C) 53:54	D) 54:55

Answer & Explanation Answer: B) 52:53

Explanation:

Let the Cost price of article is Rs. x

Required ratio = (104% of x) / (106% of x)

=104/106

=52/53 = 52:53

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Filed Under: Profit and Loss

39 23694

Q:

The tangent at any point of the circle is _________________ to the radius through the point of contact.

A) parallel	B) intersecting
C) perpendicular	D) equal

Answer & Explanation Answer: C) perpendicular

Explanation:

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Filed Under: Area
Exam Prep: Bank Exams

0 23623

Q:

Consider the circle as shown in the figure and choose the correct option for this case.

A) QC \|\| PB	B) QC = 1/2 PB
C) QC is never parallel to PB	D) QC \|\| PB, QC = 1/2 PB

Answer & Explanation Answer: A) QC || PB

Explanation:

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Filed Under: Area
Exam Prep: Bank Exams

0 23590

Q:

In what ratio should water and wine be mixed so that after selling the mixture at the cost price a profit of 33.33% is made?

A) 1:4	B) 1:3
C) 2:3	D) 3:4

Answer & Explanation Answer: B) 1:3

Explanation:

33.33% profit means there is one part water and 3 part is pure wine. so the required ratio of water and wine in the mixture is 1:3

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Filed Under: Profit and Loss

64 23585

Quantitative Aptitude - Arithmetic Ability Questions

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