Mathmetics
ISBT Mathmetics for all banking PO,Clerk,IBPS PO,Railway,SSC,IAS,OAS Exams
| Q201. | 
 | 
| 1) | 140 | 2) | 150 | 
| 3) | 152 | 4) | 159 | 
| 5) | None of these | ||
Answer : 150 
Explanation :
Explanation :
The 3-digit number divisible by 6 are : 102, 108, 114,... , 996
It is an A.P. series where  a = 102, d = 6 and l = 996
Let, the number of terms be n. Then tn = 996.
or a + (n - 1) d = 996
or 102 + (n - 1) x 6 = 996
or 6 x (n - 1) = 894
or (n - 1) = 149
or n = 150
So, number of terms = 150.
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 View Answer| Q202. | 
Number of tourists that visited seven different locations of India in the year 2011 (in thousands)   What is the percentage of the number of people visiting location G with respect to that visiting all other locations in the year 2011 ? | 
| 1) | 6.25% | 2) | 8.15% | 
| 3) | 10.05% | 4) | 11.36% | 
| 5) | None of these | ||
Answer : 6.25% 
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 View Answer| Q203. | Directions -: Study the following graph and table answer the questions given below. Number of tourists that visited seven different locations of India in the year 2011 (in thousands)   What is the ratio of the number of females visiting B in the year 2011 to that visiting F in the same year ? | 
| 1) | 1 : 1 | 2) | 45 : 56 | 
| 3) | 47 : 56 | 4) | 23 : 28 | 
| 5) | None of these | ||
Answer : 45 : 56 
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 View Answer| Q204. | 
 | 
| 1) | 2 | 2) | 3 | 
| 3) | 4 | 4) | 6 | 
| 5) | None of these | ||
Answer : 4 
Explanation :				
Explanation :
90 = 10 x 9
Clearly, 653xy is divisible by 10, so y = 0
Now, 653x0 is divisible by 9.
So, (6 + 5 + 3 + x + 0) = (14 + x) is divisible by 9. So, x = 4.
Hence, (x + y) = (4 + 0) = 4.
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 View Answer| Q205. | 
 | 
| 1) | 6 only | 2) | 6 and 12 both | 
| 3) | 12 only | 4) | by 18 only | 
| 5) | None of these | ||
Answer : 6 and 12 both 
Explanation : (6n2 + 6n) = 6n (n + 1), which is always divisible by 6 and 12 both, since n(n + 1) is always even.
Explanation : (6n2 + 6n) = 6n (n + 1), which is always divisible by 6 and 12 both, since n(n + 1) is always even.
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 View Answer| Q206. | What would be the unit digit of the following expressions. | 
| 1) | 4 | 2) | 6 | 
| 3) | 7 | 4) | 9 | 
| 5) | None of these | ||
Answer : 7 
Explanation : We know that, any digit multiply four times, that product's unit digit will be same digit.
Explanation : We know that, any digit multiply four times, that product's unit digit will be same digit.
So,125/4 =31 quotient and 1 reminder and 127/4 = 31 divisor and 3 reminder.
Now, (123)1 + (234)3 = 3 + 4 = 7
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 View Answer| Q207. | A number, when divided by 135, the reminder is 45. If the same number is divided by 27, what would be the reminder ? | 
| 1) | 15 | 2) | 18 | 
| 3) | 21 | 4) | Data Inadequate | 
| 5) | None of these | ||
Answer : 18 
Explanation : We know that, Dividend = (Divisor x Quotient) + Reminder.
Explanation : We know that, Dividend = (Divisor x Quotient) + Reminder.
So, Dividend = (135 x Quotient) + 45
Or Dividend = [ (27 x 5 x Quotient )+ (27 x 1 +18)]
When above Dividend is divided by 27, 18 will be reminder.
Short-Cut Method:
If the second divisor is a factor of the first divisor, then you just divide the second divisor with reminder.
i.e.   (R1/d2) = R2
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 View Answer| Q208. | There are some adult students in a class and their average age was 40 years. If 12 new students with an average age of 50 years join with them, their new average age will be increases by 5 years.What was the original strength of that class ? | 
| 1) | 8 | 2) | 10 | 
| 3) | 12 | 4) | 15 | 
| 5) | None of these | ||
Answer : 12 
Explanation : Let, there were x number of students in the class.
Explanation : Let, there were x number of students in the class.
Given that their average age was 40 yrs.
So, their total age was = 40x yrs
Now, 12 new students join with them with an average age of 50 yrs.
Then, total age was = (12 x 50) = 600 yrs. and total students were x+12.
Now, new total age was = (4x + 600 ) yrs.
 So, (40x + 600 ) / (x+12) = 45
or 45x + 540 = 40x + 600
or 5x = 600 -540 = 60
or x = 60/5 = 12
Thus, original strength of that class was 12.
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 View Answer| Q209. | 
 | 
| 1) | 39 years | 2) | 40 years | 
| 3) | 44 years | 4) | Data Inadequate | 
| 5) | None of these | ||
Answer : 39 years 
Explanation :				
Explanation :
When the teacher is included there are totally 31 members in the class and the average is increased by 1 year. This means that everyone got 1 extra year after distributing the extra years of the teacher.
So, extra years of the teacher are as follow: 31x1=31 years.
Age of the teacher = actual avg + extra years = 12 + 31 = 43 years 
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 View Answer| Q210. | 10 man can finish a piece of work in 15 days. 8 women can finish the same work in 25 days. Only 10 women started working and in a few days completed a certain amount of work. After that 3 men joined them. The remaining work was completed by 10 women and 3 men together in 5 days . After how many did 3 men join with 10 women ? | 
| 1) | 11 | 2) | 13 | 
| 3) | 15 | 4) | 10 | 
| 5) | None of these | ||
Answer : 13 
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