General Knowledge for Bank PO | Bank Clerk | SSC | Railway | IBPS PO

Mathmetics

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

Previous 1 2...53 54 555657 58 59...63 64 Next

Q551.

How many 3-digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9, which are divisible by 5 and none of the digits is repeated ?

1)	6	2)	10
3)	12	4)	20
5)	None of thse

Answer : 20
Explanation :

Since each desired number is divisible by 5, so we must have 5 at the unit place. So, there is 1 way of doing it.

The tens place can now be filled by any of the remaining 5 digits (2, 3, 6, 7, 9). So, there are 5 ways of filling the tens place.

The hundreds place can now be filled by any of the remaining 4 digits. So, there are 4 ways of filling it.

So, required number of numbers = (1 x 5 x 4) = 20.

🔒 Click "View Answer" to reveal correct option View Answer

Q552.

In how many different ways can the letters of the word 'CORPORATION' be arranged so that the vowels always come together ?

1)	810	2)	1440
3)	2880	4)	50400
5)	57600

Answer : 50400
Explanation :

In the word 'CORPORATION', we consider the vowels OOAIO as one letter.

Thus, we have CRPRTN (OOAIO).

This has 7 (6 + 1) letters of which R occurs 2 times and the rest are different.

Number of ways arranging these letters =7!/2! = 2520.

Now, 5 vowels in which O occurs 3 times and the rest are different, can be arranged in 5!/3!= 20 ways.

So, required number of ways = (2520 x 20) = 50400.

🔒 Click "View Answer" to reveal correct option View Answer

Q553.

In how many different ways can the letters of the word 'LEADING' be arranged in such a way that the vowels always come together ?

1)	360	2)	480
3)	720	4)	1280
5)	None of these

Answer : 720
Explanation :

The word 'LEADING'' has 7 different letters.

When the vowels EAI are always together, they can be supposed to form one letter.

Then, we have to arrange the letters LNDG (EAI).

Now, 5 (4 + 1 = 5) letters can be arranged in 5! = 120 ways.

The vowels (EAI) can be arranged among themselves in 3! = 6 ways.

So, required number of ways = (120 x 6) = 720.

🔒 Click "View Answer" to reveal correct option View Answer

Q554.

From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. In how many ways can it be done ?

1)	565	2)	664
3)	742	4)	756
5)	None of these

Answer : 756
Explanation :

🔒 Click "View Answer" to reveal correct option View Answer

Q555.

A sum fetched a total simple interest of Rs. 4016.25 at the rate of 9 p.c.p.a. in 5 years. What is the sum ?

1)	Rs. 4462.50	2)	Rs. 8032.50
3)	Rs. 8900	4)	Rs. 8925
5)	None of these

Answer : Rs. 8925
Explanation :

Principal = (100 x 4016.25 ) / ( 9 x 5) = Rs. 8925.

🔒 Click "View Answer" to reveal correct option View Answer

Q556.

A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 854 in 4 years. The sum is:

1)	Rs. 650	2)	Rs. 690
3)	Rs. 698	4)	Rs. 700
5)	None of these

Answer : Rs. 698
Explanation :

S.I. for 1 year = Rs. (854 - 815) = Rs. 39.

S.I. for 3 years = Rs.(39 x 3) = Rs. 117.

Principal = Rs. (815 - 117) = Rs. 698.

🔒 Click "View Answer" to reveal correct option View Answer

Q557.

A sum of Rs. 1550 is lent out into two parts, one at 8% and another one at 6%. If the total annual income is Rs. 106, find the money lent at each rate ?

1)	Rs. 800	2)	Rs. 900
3)	Rs. 1100	4)	Rs. 870
5)	None of these

Answer : Rs. 900
Explanation :

Let the sum lent at 8% be Rs. x and that at 6% be

Rs. (1550 - x).

or (X x 8 x 1/100 ) + [ {(1500- X) x 6 x 1}/ 100 ] = 106

or 8 x + 9300 - 6 x = 10600

or 2 x = 1300

or x = 650

Money lent at 8% = Rs.650.

Money lent at 6% = Rs(1550 - 650) = Rs. 900

🔒 Click "View Answer" to reveal correct option View Answer

Q558.

A sum was put at S.I. at certain rate for 5 years. Had it been put at 4% higher rate, it would have fetched Rs. 60 more. What was the sum ?

1)	Rs.280	2)	Rs.300
3)	Rs.320	4)	Rs.400
5)	None of these

Answer : Rs.300
Explanation :

Let Principal =P, Rate of Interest = R

Given, T = 5 So, (P x 5 x R) / 100

Now new rate of interest =( R+ 4) %

So, S.I. = {P x 5 x (R+ 5%) } / 100

Then, {P x 5 x (R+ 5%) } / 100 - (P x 5 x R) / 100 = 60

or P /60 = 5 or P= Rs. 300

🔒 Click "View Answer" to reveal correct option View Answer

Q559.

Pipes A and B running together can fill a cistern in 6 min. If B takes 5 min more than A to fill the cistern, then the times in which B will fill the cistern separately will be respectively.

1)	12 min	2)	15 min
3)	18 min	4)	20 min
5)	None of these

Answer : 15 min
Explanation :

Let pipe A fills the cistern in x minutes.

Therefore, pipe B will fill the cistern in (x + 5) minutes.

1/x + 1/x+1 = 1/6

or x = 10

Hence pipe B can fill the cistern in 10 +5 = 15 min.

🔒 Click "View Answer" to reveal correct option View Answer

Q560.

A pipe can fill a cistern in 6 hours. Due to a leak in its bottom it is filled in 7 hours. When the cistern is full, in how much time will it be emptied by the leak ?

1)	40 hours	2)	42 hours
3)	43 hours	4)	45 hours
5)	None of these

Answer : 42 hours
Explanation :

Resultant work done by both the pipes in one hour i.e. (1/6 + 1/7) = 1/42

of cistern.

The whole cistern will be emptied in 42 hours.

🔒 Click "View Answer" to reveal correct option View Answer

Previous 1 2...53 54 555657 58 59...63 64 Next

Mathmetics

Q551.

How many 3-digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9, which are divisible by 5 and none of the digits is repeated ?

Q552.

In how many different ways can the letters of the word 'CORPORATION' be arranged so that the vowels always come together ?

Q553.

In how many different ways can the letters of the word 'LEADING' be arranged in such a way that the vowels always come together ?

Q554.

From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. In how many ways can it be done ?

Q555.

A sum fetched a total simple interest of Rs. 4016.25 at the rate of 9 p.c.p.a. in 5 years. What is the sum ?

Q556.

A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 854 in 4 years. The sum is:

Q557.

A sum of Rs. 1550 is lent out into two parts, one at 8% and another one at 6%. If the total annual income is Rs. 106, find the money lent at each rate ?

Q558.

A sum was put at S.I. at certain rate for 5 years. Had it been put at 4% higher rate, it would have fetched Rs. 60 more. What was the sum ?

Q559.

Pipes A and B running together can fill a cistern in 6 min. If B takes 5 min more than A to fill the cistern, then the times in which B will fill the cistern separately will be respectively.

Q560.

A pipe can fill a cistern in 6 hours. Due to a leak in its bottom it is filled in 7 hours. When the cistern is full, in how much time will it be emptied by the leak ?

Study Materials +

Quick Links

Contact Us

Location