If the digits of a two digit number are interchanged, the number formed is greater than the original number by 45. If the difference between the digits is 5.What is the original number?

If the digits of a two digit number are interchanged, the number formed is greater than the original number by 45. If the difference between the digits is 5.What is the original number?
a) 18
b) 25
c) 36
d) Cannot be determined
e) None of these
by

1 Answer

Answer :

According to question both statements gives some equation which have two variable and it is not possible to find out two variable by single eg.
Answer: d)
by

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If the positions of the digits of a two digit number are interchanged, the number obtained is smaller than the original number by 27. If the digits of the number are in the ratio of 1 : 2, what is the original number ? a) 25 b) 81 c) 36 d) Cannot be determined e) None of these

Description : If the positions of the digits of a two digit number are interchanged, the number obtained is smaller than the original number by 27. If the digits of the number are in the ratio of 1 : 2, what is the original number ? a) 25 b) 81 c) 36 d) Cannot be determined e) None of these

Last Answer : Cannot be determined Answer: d)

The digits of a two-digit number are in the ratio of 2 : 3 and the number obtained by interchanging the digits is bigger than the original number by 27.What is the original number? 1. 63 2. 48 3. 96 4. 69 5. 66

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Last Answer : Answer- 4 (69) Explanation:- lets digit at tens and ones place be 2x and 3x So,number is 2x*10 + 3x After interchanging number will be 3x*10 +2x so, [3x*10 +2x] – [2x*10 + 3x]27 we get,x=3 so number =69

A two digit number is such that the sum of the digits is 11.When the number with the same digits is reversed is subtracted from this number, the difference is 9.What is the number? 1. 23 2. 24 3. 65 4. 14 5. 32

Description : A two digit number is such that the sum of the digits is 11.When the number with the same digits is reversed is  subtracted from this number, the difference is 9.What is the number? 1. 23 2. 24 3. 65 4. 14 5. 32

Last Answer : Answer- 3(65) Explanation:- let the number be written as xy x-ten’s place y units place x+y=11…………………1 (10x+y)-(10y+x)=9 10x+y-10y-x=9 9x-9y=9 x-y=1………………….2 Add (1) & (2) 2x=12 x=6 y=5 the number is 65

The average weight of a group of 75 women was calculated as 47 kg. It was later discovered that the weight of one of the women was read as 45 kg, whereas her actual weight was 25kg. What is the actual average weight of the group of 75 women? (rounded off to two digits after decimal) (a) 46.73 kg (b) 46.64 kg (c) 45.96 kg (d) Cannot be determined (e) None of these

Description : The average weight of a group of 75 women was calculated as 47 kg. It was later discovered that the weight of one of the women was read as 45 kg, whereas her actual weight was 25kg. What is the actual average weight ... kg (b) 46.64 kg (c) 45.96 kg (d) Cannot be determined (e) None of these

Last Answer : (a) 46.73 kg

In a two-digit number, the sum of the digit is 5 more than the units digit. The difference between the original number and the sum of digits is 10 mor

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Last Answer : (b) 54

The 2 digit number which becomes (5/6)th of itself when its digits are reversed. The difference in the digits of the number being 1, then the two digits number is (a) 45 (b) 54 (c) 36 (d) None of these

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Last Answer : (b) 54

The square of a two digit number is divided by half the number. After 36 is added to the quotient, this sum is then divided by 2. The digits of the resulting number are the same as those in the original number, but they are in reverse order. The ten's place of the original number is equal to twice the difference between its digits. What is the number?

Description : The square of a two digit number is divided by half the number. After 36 is added to the quotient, this sum is then divided by 2. The digits of the resulting number are the same as those in ... 's place of the original number is equal to twice the difference between its digits. What is the number?

Last Answer : Answer: 46

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Last Answer : c) 42

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Last Answer : c) 8 Let first two digit no. and second two digit no. be x and y respectively. x = y × 40/100 +16 x - 2y/5 = 16....(i) x + y = 72...(ii) From equation (i) and (ii) x = 32, y = 40 Difference = 8 Answer: c)

In a two-digit number, the ten digit is one more than twice the units digit. The sum of the digits is 36 less than the number formed by reversing the

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Last Answer : (5) None of these

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Last Answer : 1) 71·43 v

Number of girls enrolled in only Dancing classes is what per cent of the boys enrolled in the same? (Rounded off to two digits after decimal) (1) 38•67 (2) 35•71 (3) 41•83 (4) 28•62 (5) None of these

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, B, C and D are four digits. Average of A and B are equal to average of C and D. Average of B and D is greater than average of A and B whereas average of A and D is less than average of A and B.Which digit has maximum value?

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Last Answer : D has the maximum value

A five digit number is formed by the digits 0, 1, 2, 3, 4 (without repetition). Find the probability that the number formed is divisible by 4 ? -Maths 9th

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Last Answer : Without repetition, a five -digit number can be formed using the five digits in 5! ways (5 4 3 2 1) Out of these 5! numbers, 4! numbers will be starting with digit 0. (0 (fixed) 4 3 2 1) ∴ Total ... + 6 + 6 + 4 + 4 + 4 = 30∴ Required probability = \(rac{30}{96}\) = \(rac{5}{16}.\)

A four digit number is formed by the digits 1, 2, 3, 4 with no repetition. The probability that the number is odd is -Maths 9th

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Last Answer : (a) \(rac{1}{2}\) Let S be the sample spaceThen n(S) = Number of four digit numbers that can be formed with out repetition1 of 4 digits1 of 3 digits1 of 2 digits1 of 1 digitThHTO= 4! = 4 3 2 1 ways = 24 ways. Let E : ... 1 = 12∴ P(E) = \(rac{n(E)}{n(S)}\) = \(rac{12}{24}\) = \(rac{1}{2}\).

What is the largest 3-digit odd number that can be formed using the digits 215 and 6?

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Last Answer : 651

Suresh and Ramesh are twins. In a form by mistake, Suresh reverses the last 2 digits of his year of birth, and this makes him 9 years older than Ramesh. With this mistake, the sum of their ages in 2015 becomes 43. How old will Ramesh be 2021? a) 17 b) 19 c) 21 d) 23 e) 25

Description : Suresh and Ramesh are twins. In a form by mistake, Suresh reverses the last 2 digits of his year of birth, and this makes him 9 years older than Ramesh. With this mistake, the sum of their ages in 2015 becomes 43. How old will Ramesh be 2021? a) 17 b) 19 c) 21 d) 23 e) 25

Last Answer : Let the correct ages of Ramesh and Suresh be X in 2015 (since they are twins, they will have the same age) Given: 2x + 9 = 43 Or x = 17 years in 2015. Age in 2021 = 17 + 6 = 23 Note: year of birth = 2015 – 17 = 1998. Reversing, Suresh = 1989 or 9 year older. Answer: d)

(37) 0.75 x [(7056) 0.25] ÷ (64) – 2 = (8) ? (Take 3 digits after the decimal point) a) 95.357 b) 69.567 c) 96.257 d) 78.584 e) 88.598

Description : (37) 0.75 x [(7056) 0.25] ÷ (64) – 2 = (8) ? (Take 3 digits after the decimal point) a) 95.357 b) 69.567 c) 96.257 d) 78.584 e) 88.598

Last Answer : (37) 0.75 x [(7056) 0.25] ÷ (64) – 2 = (8) ? Sol: 27.75 x 1764 ÷ 64 – 2 = 8 x ? 27.75 x 27.5625 – 2 = 8 x ? 762.859/8=? ? = 95.357 Answer: a)

49/55 of 365/517 of 5111 = ? (Take 4 digits after the decimal point) a) 3015.6001 b) 3148.8123 c) 3214.2379 d) 3348.6179 e) 3358.6279

Description : 49/55 of 365/517 of 5111 = ? (Take 4 digits after the decimal point) a) 3015.6001 b) 3148.8123 c) 3214.2379 d) 3348.6179 e) 3358.6279

Last Answer : 49/55 of 365/517 of 5111 = ? Sol: 0.8909 x 0.7059 x 5111 = ? 0.62888631 x 5111 =? ? = 3214.2379 Answer: c)

19/14 x 12/72 x 18/29 x 767 = ? (Take 2 digits after the decimal point) a) 110.69 b) 118.78 c) 111.56 d) None e) 108.98

Description : 19/14 x 12/72 x 18/29 x 767 = ? (Take 2 digits after the decimal point) a) 110.69 b) 118.78 c) 111.56 d) None e) 108.98

Last Answer : 19/14 x 12/72 x 18/29 x 767 =? Sol: 1.35 x 0.16 x 0.62 x 767 = ? 102.71 = ? Answer: d)

How many 7-digit numbers can be formed using the digits 1 2 3 4 and 8?

Description : How many 7-digit numbers can be formed using the digits 1 2 3 4 and 8?

Last Answer : What is the answer ?

What is the difference between the quantity of Guava available at vendor B and that at vendor A? 1) 90 kg 2) 45 kg 3) 85 kg 4) 80 kg 5) 60kg

Description : What is the difference between the quantity of Guava available at vendor B and that at vendor A? 1) 90 kg 2) 45 kg 3) 85 kg 4) 80 kg 5) 60kg

Last Answer : 4) 80 kg

The product of 60% of a number and 125% of another number is what percent of the product of the original numbers? 1 : 90% 2 : 75% 3 : 80% 4 : 100% 5 : None of these

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Last Answer : 2 : 75%

The average age of the whole class is 12.05 years. The average age of all girls is 12.5 years and the average age of boys is 11.75 years. If the total number of boys is 45 then what is the total number of girls in the class? a) 20 b) 25 c) 30 d) 35 e) 40

Description : The average age of the whole class is 12.05 years. The average age of all girls is 12.5 years and the average age of boys is 11.75 years. If the total number of boys is 45 then what is the total number of girls in the class? a) 20 b) 25 c) 30 d) 35 e) 40

Last Answer : Let the number of girls be x. The number of boys is 45. :. Total age of boys and girls in the class = (x+45) × 12.05 or, (x+45) × 12.05 = 45 × 11.75 + x × 12.5 or, 12.05x + 542.25 = 528.75 + 12.5x or, 13.5 = 0.45x or, x = 13.5/0.45 = 30 Answer is: c)

What percent of the total number of girls in the college know Bangla? (1) 45 (2) 40 (3) 48 (4) 42 (5) 50

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Last Answer : 5) 50

Ram is 3 times as old as his brother. Ram’s father is 3 times older than Ram. In 9 years , Ram will be 1.5 times the age of his brother. What will be the age of Ram’s father when Ram is 1.5 times the age of his brother? a) 27 b) 36 c) 45 d) 54 e) 63

Description : Ram is 3 times as old as his brother. Ram’s father is 3 times older than Ram. In 9 years , Ram will be 1.5 times the age of his brother. What will be the age of Ram’s father when Ram is 1.5 times the age of his brother? a) 27 b) 36 c) 45 d) 54 e) 63

Last Answer : Let the age of Ram be R, brother be B R=3B And (R + 9 ) =1.5(B + 9) 3B + 9 =1.5B + 13.5 1.5B =4.5 or B = 3 years R= 9 years. Father current age = 4R(Since father is 3 times older than Ram, his ... R + 3 R, and not 3R) Father age when Ram is 1.5 times the age of his brother = 4R + 9 = 45. Answer : c

Ram is 3 times as old as his brother. Ram’s father is 3 times older than Ram. In 9 years , Ram will be 1.5 times the age of his brother. What will be the age of Ram’s father when Ram is 1.5 times the age of his brother? a) 27 b) 36 c) 45 d) 54 e) 63

Description : Ram is 3 times as old as his brother. Ram’s father is 3 times older than Ram. In 9 years , Ram will be 1.5 times the age of his brother. What will be the age of Ram’s father when Ram is 1.5 times the age of his brother? a) 27 b) 36 c) 45 d) 54 e) 63

Last Answer : Let the age of Ram be R, brother be B R=3B And (R + 9 ) =1.5(B + 9) 3B + 9 =1.5B + 13.5 1.5B =4.5 or B = 3 years R= 9 years. Father current age = 4R(Since father is 3 times older than Ram, his ... R + 3 R, and not 3R) Father age when Ram is 1.5 times the age of his brother = 4R + 9 = 45. Answer : c

I am a two-digit number. All my digits are even. No two digits are the same. None of my digits are prime numbers. I am not a multiple of ten. My tens digit is bigger than my other numbers. If you followed all the previous steps, there should be three options remaining the number is the option where if you add all the digits it’s exactly in the middle (in how big the number is) of all the other options with their digits added together. What number am I? -Riddles

Description : I am a two-digit number. All my digits are even. No two digits are the same. None of my digits are prime numbers. I am not a multiple of ten. My tens digit is bigger than my other numbers. ... big the number is) of all the other options with their digits added together. What number am I? -Riddles

Last Answer : If you followed all the steps apart from the last one there will be three options remaining: 64, 84, and 86. You then had to add up the digits, 64=6+4=10, 84=8+4=12, and 86=8+6=14. ... biggest number (12) and put it back as it was before the digits were added together and your answer should be 84.

What is a number that has 2 digits less than 10 the tenths digit is one more than the ones digit nad the digits add up to 7?

Description : What is a number that has 2 digits less than 10 the tenths digit is one more than the ones digit nad the digits add up to 7?

Last Answer : 44

There were 35 students in a hostel. If the number of students increase by 7, the expenses of the mess increase by Rs 42 per day while the average expenditure per head diminishes by Rs 1. Find the original expenditure of the mess? A.450 B.420 C.430 D.410 E.None of these

Description : There were 35 students in a hostel. If the number of students increase by 7, the expenses of the mess increase by Rs 42 per day while the average expenditure per head diminishes by Rs 1. Find the original expenditure of the mess? A.450 B.420 C.430 D.410 E.None of these 

Last Answer : Answer - B (420) Explanation - Suppose the average expenditure was Rs a. Then total expenditure = 35a When 7 more students join the mess, total expenditure = 35a + 42 Now, the average expenditure= (35a+42) / (35 + 7) ... 42 =(a - 1) or, 35a + 42 = 42a - 42 7a = 84 a = 12

The LCM of two numbers is 45 times their HCF. If one of the numbers is 125 and the sum of HCF and LCM is 1150, then the other number is? a) 100 b) 125 c) 250 d) 225 e) 180

Description : The LCM of two numbers is 45 times their HCF. If one of the numbers is 125 and the sum of HCF and LCM is 1150, then the other number is? a) 100 b) 125 c) 250 d) 225 e) 180

Last Answer : LCM = 45× HCF LCM + HCF = 46× HCF = 1150 HCF = 25, LCM =1125. product of 2 numbers = LCM×HCF required number = (25× 1125) / 125 = 225. Answer: d)

I am a three-digit number. All of my digits are prime. One of the numbers is even. Each of my numbers are used only once. The total of my first and last digits equals 10. The total of my first two digits equals 5. -Riddles

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Last Answer : This one is fairly easy if you use elimination if you follow all the first 5 steps you get three options: 525, 327, and 723 but if you followed the last step you would reach your answer. The answer was 327.

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Last Answer : This one is fairly easy - 324 is the answer.

The owner of a TV shop charges his customer 20% more than the CP. If a customer paid Rs. 10800 for a TV, then find its original price? (a) Rs. 9300 (b) Rs. 8600 (c) Rs. 9800 (d) Rs. 7600 (e) None of the above

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Last Answer : (e) None of the above

Rubesh generally takes 80 minutes to reach home from office. Due to rain, he travelled at 2/3rd of his usual speed for the 1st half of the distance. At what speed should rubesh travel the remaining distance to reach home on time? a) 1.5 times the original speed b) 2 times the original speed c) 2.5 times the original speed d) 3 times the original speed e) Cannot reach on time

Description : Rubesh generally takes 80 minutes to reach home from office. Due to rain, he travelled at 2/3rd of his usual speed for the 1st half of the distance. At what speed should rubesh travel the remaining distance ... c) 2.5 times the original speed d) 3 times the original speed e) Cannot reach on time

Last Answer : Under the normal speed, 40 minutes for half the distance Due to rain, time taken will be 40 / (2/3) = 40 × (3/2) = 60 minutes So, in 20 minutes he has to cover the distance he usually covers in 40 minutes. So, he has to travel at twice the original speed. Answer: b)

A reduction of 20% in the price of sugar enables a person to get 7.8 kg more sugar for Rs.3.90. The original price of sugar per kg is a) Rs. 10 b) Rs.11.50 c) Rs. 12.5 d) Rs. 15 , e) Rs. 10.5

Description : A reduction of 20% in the price of sugar enables a person to get 7.8 kg more sugar for Rs.3.90. The original price of sugar per kg is a) Rs. 10 b) Rs.11.50 c) Rs. 12.5 d) Rs. 15 , e) Rs. 10.5

Last Answer : d) Rs. 15 ,

If the numerator of a fraction is increased by 25% and the denominator is doubled, the fraction thus obtained is 5/9. What is the original fraction? a) 3/4 b) 7/8 c) 8/9 d) Cannot be determined e) None of these

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If the numerator of a fraction is increased by 300% and the denominator of the fraction is increased by 150%, the resultant fraction is 3/5. What is the original fraction? a) 7/5 b) 3/7 c) 7/15 d) 1/6 e) None of these

Description : If the numerator of a fraction is increased by 300% and the denominator of the fraction is increased by 150%, the resultant fraction is 3/5. What is the original fraction? a) 7/5 b) 3/7 c) 7/15 d) 1/6 e) None of these

Last Answer : x + 300% of x / y +150% of y = 3/5 400x/250y = 3/5 x/y = 3 × 250 /5 × 400 x/y = 3/8 Answer: e)

Mr. Xavier invested a certain amount in Debit and Equity funds in the ratio of 4 : 5 respectively. At the end of one year, he earned a total dividend of 30% on his investment. After one year he reinvested the amount including dividend in the ratio of 6 : 7 in Debt and Equity Funds. If the amount reinvested in Equity Funds was Rs. 94,500/-, what was the original amount invested in Equity Funds? (a) Rs. 75,000/- (b) Rs. 81,000/- (c) Rs. 60,000/- (d) Rs. 65,000/- (e) None of these

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Last Answer : (a) Rs. 75,000/-

Vijay purchased two kg of sugar and three kg of rice for Rs.145. Ravi purchased three kg of sugar and two kg of rice for Rs.130. What is the price of one kg of sugar and one kg of rice? 1 : Rs.45 2 : Rs.50 3 : Rs.55 4 : Rs.60 5 : None of these

Description : Vijay purchased two kg of sugar and three kg of rice for Rs.145. Ravi purchased three kg of sugar and two kg of rice for Rs.130. What is the price of one kg of sugar and one kg of rice? 1 : Rs.45 2 : Rs.50 3 : Rs.55 4 : Rs.60 5 : None of these

Last Answer : 3 : Rs.55

5 ? 4 7.5 17 45 a) 3.5 b) 3 c) 2.5 d) 2 e) None of these

Description : 5 ? 4 7.5 17 45 a) 3.5 b) 3 c) 2.5 d) 2 e) None of these

Last Answer : The series is ×0.5 + 0.5, ×1 + 1, ×1.5 + 1.5, ... Answer: b)

Of the four numbers, the first is twice the second, the second is one-third of the third and the third is 5 times the fourth. The average of the numbers is 24.75. The largest of these numbers is: A.45 B.25 C.30 D.45 E.None of these

Description : Of the four numbers, the first is twice the second, the second is one-third of the third and the third is 5 times the fourth. The average of the numbers is 24.75. The largest of these numbers is: A.45 B.25 C.30 D.45 E.None of these

Last Answer : Answer – D (45) Explanation – Let the fourth number be a then hen, third number = 5a, second number= 5a/3 and first=10a/3 a+ 5a+ 5a/3 + 10/3 = 24.75 x 4 so,a=9 So, the numbers are 9, 45, 15 and 30

What four digit positive, whole number has its last and first digits equal, addition of its last two digits is equal to its second digit. And the product of the squares of its last two digits is equal to four two noughts. -Riddles

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Last Answer : 5945. 5=5. 4+5=9=second digit 4^2 x 5^2 = 400 = four two noughts

What two-digit number equals two times the result of multiplying its digits? -Riddles

Description : What two-digit number equals two times the result of multiplying its digits? -Riddles

Last Answer : 36 = 2 x 3 x 6.

Number of digits in the cube of a two digit number may be ____________

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In a two-digit number, the sum of the digits is 9. If 9 is subtracted from the number, then the digits get reversed. Find the product of the digits

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What is a two digit number whose sum of those digits is the square root of that number?

Description : What is a two digit number whose sum of those digits is the square root of that number?

Last Answer : The number is 81.