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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

Three medians AD, BE and CF of ΔABC intersect at G; Area of ΔABC is 36 sq cm. Then the area of ΔCGE is

A) 12 sq cm B) 6 sq cm
C) 9 sq cm D) 18 sq cm
 
Answer & Explanation Answer: B) 6 sq cm

Explanation:
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Filed Under: Area
Exam Prep: Bank Exams

3 3922
Q:

If 1/a+1/b+1/c = 1/(a+b+c) where a+b+c not equals '0', abc not equals '0', What is the value of (a+b) (b+c) (a+c) ?

A) 3 B) 2
C) 1 D) 0
 
Answer & Explanation Answer: D) 0

Explanation:

Let assume the value of a,b &c that will satisfy the equation.
so a=1,b=1,c= -1 or a=1,b= -1 &c=1 or a= -1,b=1,c=1
here all three cases satisfy the equation
assume any one a=1,b=1,c= -1

Hence (a+b)(b+c)(c+a)=(1+1)(1-1)(-1+1) = 0

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

5 3920
Q:

Jar A has 36 litres of mixture of milk and water in the respective ratio of 5 : 4. Jar B which had 20 litres of mixture of milk and water, was emptied into jar A, and as a result in jar A, the respective ratio of milk and water becomes 5: 3. What was the quantity of water in jar B?

A) 5 lit B) 3 lit
C) 8 lit D) 2 lit
 
Answer & Explanation Answer: A) 5 lit

Explanation:

Jar A has 36 litres of mixture of milk and water in the respective ratio of 5 : 4 => Quantity of milk in Jar A = 5/9 x 36 = 20 litres Quantity of water in Jar A = 36 - 20 = 16 litres Let quantity of water in Jar B = x litres => Quantity of milk in Jar B = (20 - x) litres Acc. to ques, =>[20 + (20-x)]/(16+x) = 5/3 => 120−3x = 80+5x => 5x +3x = 120−80 => 8x = 40 => 5 litres.

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Filed Under: Alligation or Mixture

1 3920
Q:

P starts a business with Rs 14000. After 8 months Q joins P with Rs 8000. After 3 years, what will be the ratio of the profit of P and Q?

A) 12 : 5 B) 9 : 4
C) 14 : 9 D) 15 : 8
 
Answer & Explanation Answer: B) 9 : 4

Explanation:
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Filed Under: Partnership
Exam Prep: Bank Exams

7 3916
Q:

A 6% stock yields 8%. The market value of the stock is:

A) 70 B) 76
C) 75 D) 80
 
Answer & Explanation Answer: C) 75

Explanation:

For an income of Rs. 8, investment = Rs. 100.

 

For an income of Rs. 6, investment = Rs.1008*6= Rs. 75.

 

Market value of Rs. 100 stock = Rs. 75.

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Filed Under: Stocks and Shares

1 3909
Q:

A bus travels 2/5 of a total journey at its usual speed. The remaining distance was covered by bus at 6/7 of its usual speed. Due to slow speed it reaches its destination 50 minutes late. If the total distance is 200 kms, then what is the usual speed (in km/hr) of bus?

A) 20.57 B) 24
C) 28 D) 26.52
 
Answer & Explanation Answer: B) 24

Explanation:
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Filed Under: Time and Distance
Exam Prep: Bank Exams

4 3909
Q:

The bankers discount and true discount on a sum of money due 8 months hence are Rs.120 & Rs.110 resp. Find the sum.

A) 1457 B) 1320
C) 1140 D) 1260
 
Answer & Explanation Answer: B) 1320

Explanation:

Sum = (B.D * T.D) / (B.D) -(T.D)

= (120 * 110) / (120 -110)

= 1320

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Filed Under: Banker's Discount

2 3906
Q:

A boat having a length 3 m and breadth 2 m is floating on a lake. The boat sinks by 1 cm when a man gets on it. The mass of the man is:

A) 12 B) 60
C) 72 D) 90
 
Answer & Explanation Answer: B) 60

Explanation:

Volume of water displaced = (3 x 2 x 0.01) = 0.06 cu.m. 

Mass of man = Volume of water displaced x Density of water

 = (0.06 x 1000) kg

 = 60 kg.

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Filed Under: Volume and Surface Area

0 3904