Q:

There is a square field of area ‘X’ square meters. A cylindrical ditch of radius 7 meters and depth 2 meters is dug, and the earth is taken out and spread over the remaining part of the square field, the height of square field which goes up by 0.77 meters. What is the value of ‘X’ ? 

A) 548 sq. m B) 524 sq. m
C) 518 sq. m D) 554 sq. m
 
Answer & Explanation Answer: D) 554 sq. m

Explanation:

Volume of the cylindrical ditch = πrxrh = 22/7 ×7×7×2 = 308 sq.m

Area of remaining field = (X −πrxr) sq.m

= (X − 154)

ATQ –

(X – 154) ×0.77 = 308

(X – 154) = 400

X= 554 sq.m

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Filed Under: Area
Exam Prep: AIEEE , Bank Exams

1 2531
Q:

A man invested an amount at the rate of 10% p.a. on compound interest and after two years he again invested half of the initial amount. If man got Rs. 457.2 Rs. as interest after three years, find the amount received by man after three years, if he invested same amount on simple interest at rate of 15% p.a.? 

A)  1740 Rs.  B)  1760 Rs. 
C)  1720 Rs.  D)  1780 Rs. 
 
Answer & Explanation Answer: A)  1740 Rs. 

Explanation:

Let man invested Rs. A And, after two years amount invested = (A +

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Filed Under: Simple Interest
Exam Prep: AIEEE , Bank Exams , CAT

25 3801
Q:

 A and B entered in a business by making investment of Rs. 4000 & Rs. 5500 respectively. After six months A & B withdrew Rs. 1000 and Rs. 1500 respectively and C joined them with capital of Rs. 4x. If after one year and three months C received Rs. 2250 as profit share out of total profit of Rs. 12250, then find investment of C? 

A)  Rs. 3600  B)  Rs. 3200 
C)  Rs. 4400  D)  Rs. 3000 
 
Answer & Explanation Answer: D)  Rs. 3000 

Explanation:

 Investment ratio of A, B & C = (4000 ×6+3000×9):(5500 ×6+4000×9):4

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Filed Under: Partnership
Exam Prep: AIEEE , Bank Exams , CAT

8 5500
Q:

Train A can cross a man in 8 sec and a 180 m long platform ‘P’ in 17 sec. If train A cross train B which is running in opposite direction at speed of 108 km/hr in 8 sec, then find time taken by train B to cross platform P? 

A) 16 sec B) 11 sec
C) 14 sec D) 12 sec
 
Answer & Explanation Answer: C) 14 sec

Explanation:

Let length of train A be ‘L’ m and speed be ‘V’ m/s

ATQ –

V =

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Filed Under: Problems on Trains
Exam Prep: AIEEE , Bank Exams , CAT

3 2314
Q:

There are two shopkeepers, first shopkeeper calculates his profit percent on the selling price whereas the second shopkeeper calculates his profit percent on the cost price. If the selling price for both the shopkeeper is same and the difference between their profits is Rs.175. Then, calculate the sum of the cost price for both the shopkeeper if the profit percent for the both shopkeeper is 25%?

A) Rs 5425  B) Rs 4875 
C)  Rs 4675  D)  Rs 5275 
 
Answer & Explanation Answer: A) Rs 5425 

Explanation:

Let the selling price for each of the shopkeeper be Rs 100x

For 1st shopkeeper

SP= Rs 100x

CP=100

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Filed Under: Profit and Loss
Exam Prep: AIEEE , Bank Exams , CAT

12 3818
Q:

‘X’ is a bread seller who marked up price of each bread packet by 150% above and allow discounts of 40% and made a profit of Rs. 30 on each bread packet. If ‘X’ allows 37.5% discount on each packet, then find how much profit he gets on selling 80 bread packets?

A)  Rs 2750  B)  Rs 3200 
C)  Rs 2500  D)  Rs 2700 
 
Answer & Explanation Answer: D)  Rs 2700 

Explanation:

Let cost price of each bread packet = a Rs.

So, marked price of each bread packet = 2.5a

And selling price of each bread packet = 2.5a × 60/100 = 1.5a

Given, 1.5a –

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Filed Under: Profit and Loss
Exam Prep: AIEEE , Bank Exams , CAT

4 2684
Q:

If 6 years are subtracted from the present age of Ayush and takes 25% of that then we get the present age of his only son. 4 years ago, his daughter’s age is 7 years more than his son. Sum of daughter’s present age and his wife’s present age is 10 years more than Ayush’s present age then find the present age of Ayush if average of present age of entire family is 30.25 yr? 

A)  45 year  B)  50 year 
C)  60 year  D)  40 year 
 
Answer & Explanation Answer: B)  50 year 

Explanation:

Let the present age of Ayush be x yr.

Present age of his son =

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Filed Under: Problems on Ages
Exam Prep: CAT , Bank Exams , AIEEE

5 2404
Q:

Sharmi starts from Pune and Ritesh starts from Mumbai to meet each other. The Speed of Sharmi is 37 kmph, while the speed of Ritesh is 41 kmph. If the distance between Pune and Mumbai be 234 km and both Sharmi and Ritesh start their journey at the same time, when they will meet?

A) 1 hour later B) 1.5 hour later
C) 2 hour later D) 2.5 hour later
 
Answer & Explanation Answer:

Explanation:
234 = (37+41)*t
t =3
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Filed Under: Time and Distance
Exam Prep: Bank Exams

0 1175