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Q:

A, B and C can work together for Rs. 550/- A and B together are to do 7/11 of the work. The share of C should be?

A) Rs. 200 B) Rs. 300
C) Rs. 400 D) Rs. 450
 
Answer & Explanation Answer: A) Rs. 200

Explanation:
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Filed Under: Quantitative Aptitude - Arithmetic Ability

Q:

A car runs at the speed of 50 kms per hour when not serviced and runs at 60 km./hr. when serviced. After servicing the car covers a certain distance in 6 hours. How much time will the car take to cover the same distance when not serviced?

A) 8.2 hrs B) 6.5 hrs
C) 8 hrs D) 7.2 hrs
 
Answer & Explanation Answer: D) 7.2 hrs

Explanation:

After servicing, the distance covered by car in 6 hours = 60 * 6 = 360 km Without servicing, speed of car = 50 kmph => Required time = Distance/speed = 360/50 = 7.2 hrs.

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Filed Under: Time and Distance

Q:

The ratio of present ages of P and Q is 8 : 5. After 4 years their ages will be in the ratio 4 : 3 respectively. What will be the ratio of P’s age after 7 years from now and Q’s age now?

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

Explanation:

Let the present age of P be 8x and Q be 5x After 4 years, P's age = 8x + 4 and Q's age = 5x + 4 8x+4/5x+4 = 4/3 24x+12 = 20x+16 => 4x = 4=> x = 1 Present age of P = 8 years Present age of Q = 5 years Required ratio = 15 : 5 = 3 : 1

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Filed Under: Problems on Ages

Q:

Monthly salaries of Pia and Som are in the respective ratio of 5: 4. Pia, from her monthly salary, gives th to her mother. 15% towards her sister’s tuition fees, 18% towards a loan and she shops with the remaining amount which was Rs. 2,100. What is the monthly salary of Som ?

A) Rs.25,000 B) Rs.30,000
C) Rs.15,000 D) Rs.20,000
 
Answer & Explanation Answer:

Explanation:

Let monthly salary of Pia = Rs.500x => Monthly salary of Som = Rs.400x Amount given by Pia to her mother = 3/5 * 500x = 300x Amount for her sister tuition fees = 15*500x/100 = 75x Amount for loan = 18*500x/100 = 90x => Amount left = 500x −(300x +75x +90x) = 2100 => 500x - 465x = 35x = 2100 => x = 2100/35 = 60 Therefore, Som's salary = 400 x 60 = Rs. 24,000

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Filed Under: Ratios and Proportions

Q:

Area of circle is equal to the area of a rectangle having perimeter of 50 cms. and length more than the breadth by 3 cms. What is the diameter of the circle?

A) 7 cms B) 21 cms
C) 28 cms D) 14 cms
 
Answer & Explanation Answer: D) 14 cms

Explanation:

Let the breadth of rectangle be x cm => Length of rectangle = (x+3) cm Now, perimeter =2(x+x+3) = 50 => 2x + 3 = 25 => x = 11 Thus, breadth = 11 cm and length = 14 cm Area of circle = Area of rectangle =>pi * r* r = 14 * 11 =>r*r = 14 * 11 * 7/22 =>r = 7 cm Diameter = 2 * 7 = 14 cm

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Filed Under: Area

Q:

The amount of simple interest accrued on an amount of Rs 28,500 in seven years is Rs 23,940 What is the rate of interest p.c.p.a ?

A) 10.5 B) 12.5
C) 11 D) 12
 
Answer & Explanation Answer: D) 12

Explanation:

Simple Interest = S.I= pnr/100 Given, S.I = 23940 , p = 28500 , n = 7 thus, r = 100x23940/28500x7 = 12

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Filed Under: Simple Interest

Q:

Savita sold an item for 6,500 and incurred a loss of 20%. At what price should she have sold the item to have gained a profit of 20%?

A) 10,375 B) 9,750
C) 8,125 D) Cannot be determined
 
Answer & Explanation Answer: B) 9,750

Explanation:

C.P of article = 6500 * (100/80) = Rs. 8125 S.P for a gain of 20% = (8125*120)/100 = Rs. 9750

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Filed Under: Profit and Loss

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