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Q:

The incomes of two persons A and B are in the ratio 3:4. If each saves Rs.100 per month, the ratio of their expenditures is 1:2. Find their incomes  ?

A) 200, 400 B) 100, 300
C) 100, 200 D) 150, 200
 
Answer & Explanation Answer: D) 150, 200

Explanation:

The incomes of A and B be 3P and 4P.

Expenditures = Income - Savings

(3P - 100) and (4P - 100)

The ratio of their expenditure = 1:2

(3P - 100):(4P - 100) = 1:2

2P = 100 => P = 50

Their incomes = 150, 200

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Filed Under: Ratios and Proportions
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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6 6116
Q:

Kamal consistently runs 240 meters a day and on Saturday he runs for 400 meters. How many kilometers will he have to run in four weeks ?

A) 5.75 kms B) 7.36 kms
C) 8.2 kms D) 6.98 kms
 
Answer & Explanation Answer: B) 7.36 kms

Explanation:

Total running distance in four weeks = (24 x 240) + (4 x 400)

= 5760 + 1600

= 7360 meters

= 7360/1000

=> 7.36 kms

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Filed Under: Time and Distance
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7 6110
Q:

If a trader sold two cars each at Rs. 404415 and gains 15% on the first and loses 15% on the second, then his profit or loss percent on the whole is ?

A) 1.44 % B) 2.02 %
C) 1.04 % D) 2.25 %
 
Answer & Explanation Answer: D) 2.25 %

Explanation:

SP of each car is Rs. 404415, he gains 15% on first car and losses 15% on second car.

In this case, there will be loss and percentage of loss is given by = [(profit%)(loss%)]/100
= (15)(15)/100 % = 2.25%
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Filed Under: Profit and Loss
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4 6103
Q:

At what time will B catch up with A, if A starts from a place at 11.00 A.M. and travels at a speed of 3.5 kmph, B starts at 1.00 P.M. and travels with speeds of 1 kmph for 1 hour, 2 kmph for the next 1 hour, 3 kmph for the next 1 hour and so on.

A) 8 : 47 pm B) 6 : 40 pm
C) 8 : 42 pm D) 7 : 40 pm
 
Answer & Explanation Answer: D) 7 : 40 pm

Explanation:

At 1 pm ... Distance between A and B = 2x3.5 = 7 kms
at 2 pm .....Distance between A and B = 7 + 3.5 - 1 = 9.5 kms
At 3 pm ....Distance between A and B = 9.5 + 3.5 - 2 = 11 kms.
..
..
..
At 7 pm distance between A and B = 3 kms.
From 7 pm to 8 pm, speed of A = 3.5 kmph
speed of B = 8 kmph
Relative speed = 4.5 kmph

Time taken by B to meet A = 3/4.5 hrs = 30/45 hrs = 120/3 mins = 40 mins.

So meeting time is 7 : 40 PM.

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Filed Under: Arithmetical Reasoning
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2 6102
Q:

At the university entrance exam, a candidate is admitted according to whether he has passed or failed the test. Of the candidates who are really capable, 80 % pass the test and of the incapable, 30 % pass the test. Given that 40 % of the candidates are really capable, then the proportion of the really capable students who can pass the test to the total students who can pass is about ?

A) 11/24 B) 1/5
C) 16/25 D) 6/5
 
Answer & Explanation Answer: C) 16/25

Explanation:

If there are total 100 candidates,
40 candidates are really capable and
60 candidates are incapable.
Of the candidates who are really capable = 80%
40*(80/100)=32 pass the test and
of the incapable= 30%
60*(30/100)=18 pass the test.
Total candidates who passed the test = 32+18 = 50
The proportion of the really capable students who can pass the test to the total students who can pass = 32/50 = 16/25.

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Filed Under: Ratios and Proportions
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5 6091
Q:

A person lends Rs. 300 to A at 4% and Rs.540 to B at 6% for the same time. if the total amount that he gets at the end is Rs. 1032. What is the time?

Answer

Money lent to A+B = (300 + 540) = Rs. 840 


Amount received = Rs. 1032 


Interest received = Rs. 1032 - Rs.840 = Rs. 192


 


Interest on Rs. 300 lent to A for 1 year = 300×1×4100 = Rs. 12 


 


Interest on Rs.540 lent to B for 1 year = 540×6×1100 = Rs. 36 


 


 


Total yearly interest = Rs.(12+36) = Rs.48 


If interest is Rs. 48, time = 1 year 


If interest is Rs. 192, time =  192/48 = 4 years 

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Subject: Simple Interest Exam Prep: GATE , CAT , Bank Exams , AIEEE
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14 6082
Q:

Pointing towards a photograph kiran said to chotu, "I am the only daughter of this lady and her son is your maternal uncle " How is the kiran related to chotu's father  ?

A) Cousin B) Daughter
C) Sister D) Wife
 
Answer & Explanation Answer: D) Wife

Explanation:

cpVU4AOGE7K85NoCI0.34923100_1496466517.png image 

So, the speaker is the mother of chotu. Kiran is wife of chotu's father. Chotu's father is not shown in the diagram.

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Filed Under: Blood Relations
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4 6076
Q:

K and L start a business jointly. K invests Rs.16000 for 8 months and L remains in the business for 4 months. Out of the total profit L claims 2/7th share. How much money is contributed by L?

A) Rs. 13,204 B) Rs. 14,521
C) Rs. 12,800 D) Rs. 15,000
 
Answer & Explanation Answer: C) Rs. 12,800

Explanation:

Given share of L is 2/7 th of profit. Then, their profits are divided in to 5:2 ratio.

Ratio of K and L is


16000×8x×4=52


x = Rs. 12,800.

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Filed Under: Partnership
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8 6076