Quantitative aptitude Question for all banking Bank PO,Clerk,IBPS PO,Railway,SSC,PSUs,IAS,OAS ,C-SAT Exams

Mathmetics

ISBT Mathmetics for all banking PO,Clerk,IBPS PO,Railway,SSC,IAS,OAS Exams

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Q251.

The product of two numbers is 120 and the sum of their squares is 289. What is the The sum of the number ?

1)	19	2)	21
3)	23	4)	45
5)	None of these

Answer : 23
Explanation :

Let, the numbers be x and y.

Then, xy = 120 and x² + y² = 289.

(x + y)² = x² + y² + 2xy = 289 + (2 x 120) = 529

x + y = 529 = 23.

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Q252.

Find the least number which on being divided by 5, 6, 8, 9, 12 leaves in each case a remainder 1 but when divided by 13 leaves no remainder ?

1)	1601	2)	2601
3)	3601	4)	3611
5)	None of these

Answer : 3601
Explanation :

Since, the number on division by 5, 6, 8, 9 and 12 leaves remainder 1 in each case, the required number is

= Multiple of LCM of ( 5, 6, 8,9,12) +1

= Multiple of 360 +1 = 360K +1 (say)

(where K is a +ve integer)

Now, 360K + 1 is divisible by 13.

But 360K +1 = 27 13K + 9K +1

Since 2713K is divisible by 13, 9K+1 should also be divisible by 13 so that the required number is (9K + 1= 9 10 + 1=91)

Required number = 360 10 + 1 = 3601

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Q253.

Two different numbers when divided by a certain divisor leave remainders 547 and 349 respectively. when the sum of the two numbers is divded by the same divisor, the remainder is 211. Find the divisor ?

1)	687	2)	685
3)	697	4)	684
5)	None of these

Answer : 685
Explanation :

Let, the two numbers be �a� and 'b'.

As per question, if �a� is divisible by a certain number 'c' (say) it leaves remainder 547 or (a) -547 is exactly divisible by c.

Also, if �b� is divided by 'c' it leaves remainder 349 (b-349) is exactly divisible by c.

Also, if (a +b) is divisible by c it leaves remainedr 211 or ( a+b-211) is exactly divisible by c.

a - 547 + b-349 = a+b -896 is also divisible by c.

[If two numbers are divisible by a certain number, their sum/difference will also be divisible by that number].

Similarly, ( a+b-211) - (a+b-896) = 685 is also divisible by c.

Prime factors of 685 are 5, 137 and 685

c may be 5, 137 or 685.

As the remainders in the three cases given in the question are 547, 349 and 211 respectively, the divisor should be greater than 547.

c is 685 (Divisor).

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Q254.

A person spends 6% of his monthly salary i.e. Rs 2,100 marketing, 8% of his monthly salary in house rent and another 9% of his salary in medicine. What is the total annual amount expenses by him ?

1)	Rs 8,050	2)	Rs 35,000
3)	Rs 96,000	4)	Rs.96,600
5)	None of these

Answer : Rs.96,600
Explanation : Given, 6% of his monthly salary = Rs.2100

or 1% = 2100/6 = Rs.350

or (6+8+9) % = Rs.350 x 23 = Rs.8050

So, his yearly expenditure = Rs.8050 x 12 = Rs. 96,600

View Answer

Q255.

A,B,C can do a work in 36,54 and 72 days respectively.They started work together but A and B left the work 8 and 12 days before completion of the work respectively. Find the total number of days which the work has been completed ?

1)	15	2)	18
3)	24	4)	30
5)	None of these

Answer : 24
Explanation : Let,the total numbers of days requires to finish the job is x days.

So, A works for ( x-8) days and B works for (x-12) and C works for x days.

Therefore,

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Q256.

A and B can do a work together in 12 days while B and C together can do the same work in 15 days. If A is twice good work as C then, in how many days C can alone do the same work ?

1)	30 days	2)	36 days
3)	45 days	4)	60 days
5)	None of these

Answer : 60 days
Explanation : Given, A+B can do the work in 1day =1/12 parts --- (I) :

B+C in 1day =1/15 parts ----- (II)

and also given A = 2C.

So, putting the value in equation I, we get 2C+B = 12 .

Then, deducting equation II from equation I , we get, 1/12 - 1/15= c =1/60 i.e 60 days.

View Answer

Q257.

A shopkeeper marked an article at 40% above the cost price. He, then sold it after offering a discount of 30%. If he made a loss of Rs.60, find his selling price (in Rs.)

1)	Rs.2500	2)	Rs.2840
3)	Rs.2940	4)	Rs.3000
5)	None of these

Answer : Rs.2940
Explanation : Let, the C.P be Rs.x.

After, 40% above the CP, the M.P be 1.4x.

Now, he sells it at 30% discount.

Then, the S.P would be (1.4x ) x 70/100 = 0.98x

So, x - 0.98x = Rs.60

Or x = Rs.3000

Therefore, the selling price is 3000 x 98/100 =Rs.2940

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Q258.

Profit earned by an organisation is distributed among officers and clerks in the ratio 5:3 respectively. If the numbers of officers is 45 and numbers of clerks is 80 and the amount received by each officer is Rs .25,000 , then what was total profit earned ?

1)	Rs.18 lakhs	2)	Rs.18.5 lakhs
3)	Rs.20 lakhs	4)	Rs.22 lakhs
5)	None of these

Answer : Rs.18 lakhs
Explanation : Total amount received by officers 25000 x 45 = 1125000
If 5x = 1125000
Then x = 225000
So, total amount = 225000x8 = 18 lakhs

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Q259.

A man lent out Rs.12000 partly at 12% and partly at 15% simple interest . His total income after 2 years was Rs.3300. What is the sum lent at 12% simple interest ?

1)	Rs.4000	2)	Rs.5000
3)	Rs.6000	4)	Rs.7000
5)	None of these

Answer : Rs.5000
Explanation : Let, the sum lent at 12% simple interest is Rs.X.

So, the sum lent at 15% simple interest is (Rs.12000 - x).

Then,

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Q260.

A,B and C are three partners starts for a business. A invested Rs.25,000 in 2006. In 2007, he again invested an additional amount of Rs.10,000 and B joined with him Rs.35,000. In 2008, A invested another additional Rs.10,000 and C joined with them with an amount of Rs.35,000. If the total profit after end of three year is Rs.1,50,000 , then what is the share of the profit of B ?

1)	Rs.25,000	2)	Rs.30,000
3)	Rs.50,000	4)	Rs.75,000
5)	None of these

Answer : Rs.50,000
Explanation : The share of the investment of three A,B and C =

[25,000 x 12 + 35,000 x 12 + 45,000 x 12 ] : [35 x 24] : [35 x 12] = 3:2:1

So, B's share =(1,50,000/6) x 2 = Rs.50,000/.

View Answer

Previous 1 2...23 24 252627 28 29...62 63 Next

Mathmetics

Q251.

The product of two numbers is 120 and the sum of their squares is 289. What is the The sum of the number ?

Q252.

Find the least number which on being divided by 5, 6, 8, 9, 12 leaves in each case a remainder 1 but when divided by 13 leaves no remainder ?

Q253.

Two different numbers when divided by a certain divisor leave remainders 547 and 349 respectively. when the sum of the two numbers is divded by the same divisor, the remainder is 211. Find the divisor ?

Q254.

A person spends 6% of his monthly salary i.e. Rs 2,100 marketing, 8% of his monthly salary in house rent and another 9% of his salary in medicine. What is the total annual amount expenses by him ?

Q255.

A,B,C can do a work in 36,54 and 72 days respectively.They started work together but A and B left the work 8 and 12 days before completion of the work respectively. Find the total number of days which the work has been completed ?

Q256.

A and B can do a work together in 12 days while B and C together can do the same work in 15 days. If A is twice good work as C then, in how many days C can alone do the same work ?

Q257.

A shopkeeper marked an article at 40% above the cost price. He, then sold it after offering a discount of 30%. If he made a loss of Rs.60, find his selling price (in Rs.)

Q258.

Profit earned by an organisation is distributed among officers and clerks in the ratio 5:3 respectively. If the numbers of officers is 45 and numbers of clerks is 80 and the amount received by each officer is Rs .25,000 , then what was total profit earned ?

Q259.

A man lent out Rs.12000 partly at 12% and partly at 15% simple interest . His total income after 2 years was Rs.3300. What is the sum lent at 12% simple interest ?

Q260.

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