6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

Consider the following statements:

1) The perimeter of a triangle is greater than the sum of its three medinas.

2) In any triangle ABC, if D is any point on BC, then AB + BC + CA > 2AD.

Which of the above statements is/are correct?

A) 1 only	B) 2 only
C) Both 1 and 2	D) Neither 1 nor 2

Answer & Explanation Answer: C) Both 1 and 2

Explanation:

Let ABC be the triangle and D. E and F are midpoints of BC, CA and AB respectively.

Recall that the sum of two sides of a triangle is greater than twice the median bisecting the third side,(Theorem to be remembered)

Hence in ΔABD, AD is a median

⇒

AB + AC > 2(AD)

Similarly, we get

BC + AC > 2CF

BC + AB > 2BE

On adding the above inequations, we get

(AB + AC) + (BC + AC) + (BC + AB )> 2AD + 2CD + 2BE

2(AB + BC + AC) > 2(AD + BE + CF)

∴

AB + BC + AC > AD + BE +CF

2.

To prove: AB + BC + CA > 2AD

Construction: AD is joined

Proof: In triangle ABD,

AB + BD > AD [because, the sum of any two sides of a triangle is always greater than the

third side]

----

1

In triangle ADC,

AC + DC > AD [because, the sum of any two

sides of a tri

angle is always greater than the

third side]

----

2

Adding 1 and 2 we get,

AB + BD + AC + DC > AD + AD

=> AB + (BD + DC) + AC > 2AD

=> AB + BC + AC > 2AD

Hence proved

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

1 17019

Q:

Direction: What value should come in place of the question mark (?) in the following question?

$\sqrt{529} * 6 / 2 * ? = 14076$

A) 204	B) 251
C) 102	D) 146

Answer & Explanation Answer: A) 204

Explanation:

23*3*x=14076
69*x=14076
= 69 =204

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Filed Under: Quantitative Aptitude - Arithmetic Ability
Exam Prep: Bank Exams , GATE

0 17018

Q:

In an NGO the daily average wages of 20 illiterate employees is decreased from Rs.25 to Rs.10, thus the average salary of all the literate and illiterate employees is decreased Rs.10 per day. The No. of educated employees working in the NGO is :

A) 15	B) 20
C) 10	D) Data Insufficient

Answer & Explanation Answer: C) 10

Explanation:

Total employees = $\frac{(25 - 10) \times 20}{10} = 30$

Hence number of educated employees = 30-20 = 10

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Filed Under: Average

32 16973

Q:

Who is the Chief Election commissioner of India who took charge in January 2018

A) Subramanian Swamy	B) Ranjit Kumar
C) Om Prakash Rawat	D) Raghuram Rajan

Answer & Explanation Answer: C) Om Prakash Rawat

Explanation:

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Filed Under: Area
Exam Prep: Bank Exams

0 16954

Q:

From the 50 liters of milk, 5 liters of milk is taken out and after it 5 liters of water is added to the rest amount of milk. Again 5 liters of milk and water is drawn out and it was replaced by 5 liters of water. If this process is continued similarly for the third time, the amount of milk left after the third replacement:

A) 45L	B) 36.45L
C) 40.5L	D) 42.5L

Answer & Explanation Answer: B) 36.45L

Explanation:

General Formula:

Final or reduced concentration = initial concentration x ${(1 - \frac{a m o u n t b e i n g r e p l a c e d i n e a c h o p e r a t i o n}{t o t a l a m o u n t})}^{n}$

where n is the number of times the same operation is being repeated. The "amount being replaced" could be pure or mixture as per the case. similarly ,"total amount" could also be either pure or mixture. Here amount being replaced denotes the quantity which is to be withdrawn in each time.

Therefore, $50 \times {(1 - \frac{5}{50})}^{3}$

= 36.45 L

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Filed Under: Alligation or Mixture

20 16933

Q:

By investing Rs. 1620 in 8% stock, Michael earns Rs. 135. The stock is then quoted at:

A) 80	B) 96
C) 106	D) 108

Answer & Explanation Answer: B) 96

Explanation:

To earn Rs. 135, investment = Rs. 1620.

To earn Rs. 8, investment = $R s . \frac{1620}{135} \times 8$ = Rs. 96.

Market value of Rs. 100 stock = Rs. 96.

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Filed Under: Stocks and Shares

17 16931

Q:

If 47. 2506 = 4*A + 7/B + 2*C + 5/D + 6*E, then the value of 5*A + 3*B + 6*C + D + 3*E is :

A) 55.6003	B) 53.603
C) 153.6003	D) 213.003

Answer & Explanation Answer: C) 153.6003

Explanation:

4*A + 7/B + 2*C + 5/D + 6*E =47.2506
=> 4 * A + 7/B + 2 *C + 5/D + 6*E = 40 + 7 + 0.2 + 0.05 + 0.0006
Comparing the terms on both sides, we get :
4*A =40, 7/B = 7, 2*C = 0.2, 5/D = 0.05, 6*E = 0.0006
A = 10,
B = 1,
C = 0.1,
D = 100,
E = 0.0001.
5*A + 3*B + 6*C + D + 3*E =(5*10) + (3*1) + (6*0.1) +100 +(3*0.0001)
=50 + 3 + 0.6 + 100 + 0.003 = 153.6003.

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Filed Under: Decimal Fractions

60 16884

Q:

Four circular cardboard pieces, each of radius 7cm are placed in such a way that each piece touches two other pieces. The area of the space encosed by the four pieces is

A) 12	B) 32
C) 42	D) 52

Answer & Explanation Answer: C) 42

Explanation:

required area = [14 x 14 - (4 x 1/4 x 22/7 x 7 x 7) ]sq.cm

= 196 - 154 = 42 sq.cm.

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Filed Under: Area
Exam Prep: Bank Exams
Job Role: Bank PO

11 16881

Quantitative Aptitude - Arithmetic Ability Questions

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