Consider four digit numbers for which the first two digits are equal and the last two digits are also equal. How many such numbers are perfect squares?
Consider four digit numbers for which the first two digits are equal and the last two digits are also equal. How many such numbers are perfect squares?
Find the least number which will leaves remainder 5 when divided by 8, 12, 16 and 20.
Find the least number which will leaves remainder 5 when divided by 8, 12, 16 and 20.
A forester wants to plant 44 apples tree, 66 banana trees and 110 mango trees in equal rows (in terms of number of trees). Also, he wants to make distinct rows of tree (i.e. only one type of tree in one row). The number of rows (minimum) that required is:
A forester wants to plant 44 apples tree, 66 banana trees and 110 mango trees in equal rows (in terms of number of trees). Also, he wants to make distinct rows of tree (i.e. only one type of tree in one row). The number of rows (minimum) that required is:
Find the remainder when 6799 is divided by 7.
Find the remainder when 6799 is divided by 7.
Some birds settled on the branches of a tree. First, they sat one to a branch and there was one bird too many. Next they sat two to a branch and there was one branch too many. How many branches were there?
Some birds settled on the branches of a tree. First, they sat one to a branch and there was one bird too many. Next they sat two to a branch and there was one branch too many. How many branches were there?
The total number of 3 digit numbers which have two or more consecutive digits identical is:
The total number of 3 digit numbers which have two or more consecutive digits identical is:
If 146! Is divisible by 5n, and then find the maximum value of n.
If 146! Is divisible by 5n, and then find the maximum value of n.
Which of following can never be ending of a perfect square?
Which of following can never be ending of a perfect square?
The owner of a local jewellery store hired 3 watchmen to guard his diamonds, but a thief still got in and stole some diamonds. On the way out, the thief met each watchman, one at a time. To each he gave /2 of the diamonds he had then and 2 more besides. He escaped with one diamond. How many did he steal originally?
The owner of a local jewellery store hired 3 watchmen to guard his diamonds, but a thief still got in and stole some diamonds. On the way out, the thief met each watchman, one at a time. To each he gave /2 of the diamonds he had then and 2 more besides. He escaped with one diamond. How many did he steal originally?
To write all the page numbers of a book, exactly 136 times digit 1 has been used. Find the number of pages in the book.
To write all the page numbers of a book, exactly 136 times digit 1 has been used. Find the number of pages in the book.
Let N = 1421*1423*1425. What is the remainder when N is divided by 12?
Let N = 1421*1423*1425. What is the remainder when N is divided by 12?
If 381A is divisible by 9, find the value of the smallest natural number A?
If 381A is divisible by 9, find the value of the smallest natural number A?
76n- 66n, where n is an integer >0, is divisible by
76n- 66n, where n is an integer >0, is divisible by
The remainder of 3997! /40 is :
The remainder of 3997! /40 is :
In a 4-digit number, the sum of the first two digits is equal to that of last two digits. The sum of the first and last digits is equal to third digit. Finally, the sum of the second and fourth digits is twice the sum of the other two digits. What is the third digit of the number?
In a 4-digit number, the sum of the first two digits is equal to that of last two digits. The sum of the first and last digits is equal to third digit. Finally, the sum of the second and fourth digits is twice the sum of the other two digits. What is the third digit of the number?
Which among 21/2, 31/3, 41/4, 61/6 and 121/12is largest?
Which among 21/2, 31/3, 41/4, 61/6 and 121/12is largest?
A naughty boy Amrit watches a Sachin Tendulkar inning and acts according to number of runs he sees Sachin scoring. The details are:
1 run - place one orange in the basket
2 runs - place one mango in basket
3 runs - place a pear in the basket
4 runs - remove a pear and a mango from the basket
One fine day, at the start of the match, the basket is empty. The sequence of runs scored by Sachin in that inning are given as 11232411234232341121314. At the end of the above inning, how many more oranges were there compared to mangoes inside the basket ? (The Basket was empty initially).
A naughty boy Amrit watches a Sachin Tendulkar inning and acts according to number of runs he sees Sachin scoring. The details are:
1 run - place one orange in the basket
2 runs - place one mango in basket
3 runs - place a pear in the basket
4 runs - remove a pear and a mango from the basket
One fine day, at the start of the match, the basket is empty. The sequence of runs scored by Sachin in that inning are given as 11232411234232341121314. At the end of the above inning, how many more oranges were there compared to mangoes inside the basket ? (The Basket was empty initially).
If A381 is divisible by 11, find the value of the smallest natural number A?
If A381 is divisible by 11, find the value of the smallest natural number A?
The greatest number, which when subtracted from 5834, gives a number exactly divisible by each of 20,28,32,35, is.
The greatest number, which when subtracted from 5834, gives a number exactly divisible by each of 20,28,32,35, is.
The last digit of the number obtained by multiplying the numbers 81*82*83*84*86*87*88*89 will be
The last digit of the number obtained by multiplying the numbers 81*82*83*84*86*87*88*89 will be
Find the remainder when 496 is divided by 6.
Find the remainder when 496 is divided by 6.
The number of employees in Examveda and Co. is a prime number and less than 300. The ratio of the number of employees who are graduates and above, to that of employees who are not, can possibly be:
The number of employees in Examveda and Co. is a prime number and less than 300. The ratio of the number of employees who are graduates and above, to that of employees who are not, can possibly be:
LCM of two numbers is 936. If their HCF is 4 and one of the numbers is 72, the other is
LCM of two numbers is 936. If their HCF is 4 and one of the numbers is 72, the other is
The number of prime factors in the expressions
64 *86 *108 *1210 is:
The number of prime factors in the expressions
64 *86 *108 *1210 is:
A two digit number ab is added to another number ba, which is obtained by reversing the digits then we get three digit number. Thus (a +b) equals to:
A two digit number ab is added to another number ba, which is obtained by reversing the digits then we get three digit number. Thus (a +b) equals to:
The Remainder of [888222 +222888] /3 is :
The Remainder of [888222 +222888] /3 is :
A heap of pebbles when made up into group of 32, 40, 72, leaves the remainder 10, 18 and 50 respectively. Find least number of pebbles in the heaps.
A heap of pebbles when made up into group of 32, 40, 72, leaves the remainder 10, 18 and 50 respectively. Find least number of pebbles in the heaps.
A gardener plants his garden with 5550 trees and arranged them so that there is one plant more per row as there are rows then number of trees in a row is:
A gardener plants his garden with 5550 trees and arranged them so that there is one plant more per row as there are rows then number of trees in a row is:
The HCF of two numbers, each having three digits, is 17 and their LCM is 714. The sum of the numbers will be:
The HCF of two numbers, each having three digits, is 17 and their LCM is 714. The sum of the numbers will be:
The distance between the house of Rajan and Raman is 900 km and the house of former is at 100th milestone where as the house of Raman is at 1000th milestone. There are total 901 milestone at a regular interval of 1 km each. When you go to Raman's house from the house of Rajan which are on same highway, you will find that if the last digit (i.e. unit digit) of 3 digit number on every milestone is same as the first (i.e. hundreds digit) of the number on the next milestone is same, then these milestones must be red colour and rest will be of black. Total number of red colour milestone is:
The distance between the house of Rajan and Raman is 900 km and the house of former is at 100th milestone where as the house of Raman is at 1000th milestone. There are total 901 milestone at a regular interval of 1 km each. When you go to Raman's house from the house of Rajan which are on same highway, you will find that if the last digit (i.e. unit digit) of 3 digit number on every milestone is same as the first (i.e. hundreds digit) of the number on the next milestone is same, then these milestones must be red colour and rest will be of black. Total number of red colour milestone is:
Half way through the journey from Delhi to Lahore Atalji began to look out of the window of the Samjhauta Express and continued it until the distance which was remained to cover was half of what he has covered. Now at this time how much distance he has to cover?
Half way through the journey from Delhi to Lahore Atalji began to look out of the window of the Samjhauta Express and continued it until the distance which was remained to cover was half of what he has covered. Now at this time how much distance he has to cover?
What is the least number of soldiers that can be drawn up in troops of 12, 15, 18 and 20 soldiers and also in form of a solid square?
What is the least number of soldiers that can be drawn up in troops of 12, 15, 18 and 20 soldiers and also in form of a solid square?
On a road three consecutive traffic lights change after 36, 42 and 72 seconds respectively. If the lights are first switched on at 9:00 AM sharp, at what time will they change simultaneously?
On a road three consecutive traffic lights change after 36, 42 and 72 seconds respectively. If the lights are first switched on at 9:00 AM sharp, at what time will they change simultaneously?
The remainder when 1010+ 10100+101000+ . . . . . . + 101000000000 is divided by 7 is
The remainder when 1010+ 10100+101000+ . . . . . . + 101000000000 is divided by 7 is
Find the remainder when 73 *75 *78 *57 *197 *37 is divided by 34.
Find the remainder when 73 *75 *78 *57 *197 *37 is divided by 34.
The LCM of two numbers is 1890 and their HCF is 30. If one of them is 270, the other will be
The LCM of two numbers is 1890 and their HCF is 30. If one of them is 270, the other will be
Three mangoes, four guavas, and five watermelons cost Rs. 750. Ten watermelons, six mangoes and 9 guavas Cost Rs. 1580. What is the cost of six mangoes, ten watermelons and 4 guavas?
Three mangoes, four guavas, and five watermelons cost Rs. 750. Ten watermelons, six mangoes and 9 guavas Cost Rs. 1580. What is the cost of six mangoes, ten watermelons and 4 guavas?
The number of numbers from 1 to 200 which are divisible by neither 3 nor 7 is :
The number of numbers from 1 to 200 which are divisible by neither 3 nor 7 is :
The HCF of 2472, 1284 and a third number 'N' is 12. If their LCM is 23*32*5*103*107, then the number 'N' is:
The HCF of 2472, 1284 and a third number 'N' is 12. If their LCM is 23*32*5*103*107, then the number 'N' is:
Find the HCF of (3125-1) and (335-1).
Find the HCF of (3125-1) and (335-1).
The four digit smallest positive number which when divided by 4, 5, 6 or 7, it leaves always the remainder as 3:
The four digit smallest positive number which when divided by 4, 5, 6 or 7, it leaves always the remainder as 3:
The remainder of 636/215 :
The remainder of 636/215 :
The last three-digits of the multiplication 12345*54321 will be
The last three-digits of the multiplication 12345*54321 will be
The remainder when 40 +41 +42 +43 + . . . . . . . .. . +440 is divided by 17 is:
The remainder when 40 +41 +42 +43 + . . . . . . . .. . +440 is divided by 17 is:
Find the remainder when
10 +102 +103 +104 +............. + 1099 is divided by 6.
Find the remainder when
10 +102 +103 +104 +............. + 1099 is divided by 6.
Find the remainder when 54124 is divided by 17.
Find the remainder when 54124 is divided by 17.
The sum of two numbers is 684 and their HCF is 57. Find all possible pairs of such numbers.
The sum of two numbers is 684 and their HCF is 57. Find all possible pairs of such numbers.
Sunny gets 7/9 times as many marks in QA as in ENGLISH. If his total combined marks in both the papers is 90. His marks in QA is:
Sunny gets 7/9 times as many marks in QA as in ENGLISH. If his total combined marks in both the papers is 90. His marks in QA is:
Three numbers are in ratio 1:2:3 and HCF is 12. The numbers are:
Three numbers are in ratio 1:2:3 and HCF is 12. The numbers are:
The LCM of two numbers is 1020 and their HCF is 34 the possible pair of number is:
The LCM of two numbers is 1020 and their HCF is 34 the possible pair of number is:
The remainder of 259/ 255 is:
The remainder of 259/ 255 is:
The highest power of 17 which can divide exactly the following:
(182 - 1) (184 - 1) (186 - 1) (188 - 1) . . . . (1816 - 1) (1818 - 1) is :
The highest power of 17 which can divide exactly the following:
(182 - 1) (184 - 1) (186 - 1) (188 - 1) . . . . (1816 - 1) (1818 - 1) is :
Given, N = 98765432109876543210 . . .. .up to 1000 digits, find the smallest natural number n such that N+n is divisible by 11.
Given, N = 98765432109876543210 . . .. .up to 1000 digits, find the smallest natural number n such that N+n is divisible by 11.
A boy appeared in CAT for four consecutive year years, but coincidentally each time his net score was 75. He told me that there was 1/3rd negative marking for every wrong answer and 1 mark was allotted for every correct answer. He has attempted all the questions every year, but certainly some answers have been wrong due conceptual problem. Which is not the total number of questions asked for CAT in any year, in that period?
A boy appeared in CAT for four consecutive year years, but coincidentally each time his net score was 75. He told me that there was 1/3rd negative marking for every wrong answer and 1 mark was allotted for every correct answer. He has attempted all the questions every year, but certainly some answers have been wrong due conceptual problem. Which is not the total number of questions asked for CAT in any year, in that period?
Find the remainder when 65203 is divided by 7.
Find the remainder when 65203 is divided by 7.
The remainder when (1213 +2313) is divided by 11.
The remainder when (1213 +2313) is divided by 11.
The unit digit of (316)34n + 1 is :
The unit digit of (316)34n + 1 is :
A magazine publisher publishes a monthly magazine of 84 pages. One I found that in a magazine 4 pages was missing. One out of them was page number 29 it is known that the page number of the last page of the magazine is 84, (including the cover pages). The numbers printed on the missing pages were :
A magazine publisher publishes a monthly magazine of 84 pages. One I found that in a magazine 4 pages was missing. One out of them was page number 29 it is known that the page number of the last page of the magazine is 84, (including the cover pages). The numbers printed on the missing pages were :
Find the least number of five digits which when divided by 40, 60, and 75, leave remainders 31, 51 and 66 respectively.
Find the least number of five digits which when divided by 40, 60, and 75, leave remainders 31, 51 and 66 respectively.
A string of length 221 metre is cut into two parts such that one part is 9/4th as long as the rest of the string, then the difference between the larger piece and the shorter piece is :
A string of length 221 metre is cut into two parts such that one part is 9/4th as long as the rest of the string, then the difference between the larger piece and the shorter piece is :
The sum of four consecutive two-digit odd numbers, when divided by 10, become a perfect square. Which of the following can possibly be one of these four numbers?
The sum of four consecutive two-digit odd numbers, when divided by 10, become a perfect square. Which of the following can possibly be one of these four numbers?
After the division of a number successively by 3, 4 and 7, the remainder obtained is 2, 1 and 4 respectively. What will be remainder if 84 divide the same number?
After the division of a number successively by 3, 4 and 7, the remainder obtained is 2, 1 and 4 respectively. What will be remainder if 84 divide the same number?
A young girl counted in the following way on the fingers of her left hand. She started calling the thumb 1, the index finger 2, middle finger 3, ring finger 4, little finger 5, then reversed direction, calling the ring finger 6, middle finger 7, index finger 8, thumb 9 and then back to the index finger for 10, middle finger for 11 and so on. She counted up 1994. She ended on her
A young girl counted in the following way on the fingers of her left hand. She started calling the thumb 1, the index finger 2, middle finger 3, ring finger 4, little finger 5, then reversed direction, calling the ring finger 6, middle finger 7, index finger 8, thumb 9 and then back to the index finger for 10, middle finger for 11 and so on. She counted up 1994. She ended on her
The remainder of (323232) /7 :
The remainder of (323232) /7 :
The remainder , when (1523+2323) is divided by 19, is
The remainder , when (1523+2323) is divided by 19, is
How many pairs of natural numbers is there the difference of whose squares are 45.
How many pairs of natural numbers is there the difference of whose squares are 45.
Find the remainder when 67107 is divided by 7.
Find the remainder when 67107 is divided by 7.
The number of two digit prime numbers which remain prime even inverting the position of its digits is:
The number of two digit prime numbers which remain prime even inverting the position of its digits is:
[(888 *888 *888) -(222 *222 *222)] /[(888 *888) +(888 *222) +(222 *222)]
[(888 *888 *888) -(222 *222 *222)] /[(888 *888) +(888 *222) +(222 *222)]
What is the sum of all two digit numbers that gives a remainder of 3 when they are divided by 7?
What is the sum of all two digit numbers that gives a remainder of 3 when they are divided by 7?
If x +y +z =0, then x3 +y3 +z3 is equal to :
If x +y +z =0, then x3 +y3 +z3 is equal to :
Find unit digit of product (173)45*(152)77*(777)999.
Find unit digit of product (173)45*(152)77*(777)999.
The rightmost non-zero digit of the number 302720 is
The rightmost non-zero digit of the number 302720 is
The sum of two numbers is 18. The greatest product of these two number can be:
The sum of two numbers is 18. The greatest product of these two number can be:
The remainder when 757575 is divide by 37.
The remainder when 757575 is divide by 37.
x is five digit number. The digit in ten thousands place is 1. the number formed by its digits in units and ten places is divisible by 4. The sum of all the digits is divisible by 3. If 5 and 7 also divide x, then x will be.
x is five digit number. The digit in ten thousands place is 1. the number formed by its digits in units and ten places is divisible by 4. The sum of all the digits is divisible by 3. If 5 and 7 also divide x, then x will be.
If we divide the unknown two-digit number by the number consisting of the same digits written in the reverse order, we get 4 as quotient and 3 as remainder. If we divide the required number by sum of its digits, we get 8 as a quotient and 7 as a remainder. Find the number?
If we divide the unknown two-digit number by the number consisting of the same digits written in the reverse order, we get 4 as quotient and 3 as remainder. If we divide the required number by sum of its digits, we get 8 as a quotient and 7 as a remainder. Find the number?
Find the number of divisors of 1420.
Find the number of divisors of 1420.
The product of the digits of a three digit number is a perfect square and perfect cube both is :
The product of the digits of a three digit number is a perfect square and perfect cube both is :
When we reverse the digits of the number 13, the increases by 18. How many other two digit numbers increases by 18 when their digits are reversed?
When we reverse the digits of the number 13, the increases by 18. How many other two digit numbers increases by 18 when their digits are reversed?
The remainder of (3)67! divided by 80 is :
The remainder of (3)67! divided by 80 is :
The remainder when 30 +31 +32 +33 + . . . . . . . .. . +3200 is divided by 13 is:
The remainder when 30 +31 +32 +33 + . . . . . . . .. . +3200 is divided by 13 is:
The greatest number which will divides: 4003, 4126 and 4249, leaving the same remainder in each case:
The greatest number which will divides: 4003, 4126 and 4249, leaving the same remainder in each case:
A man sells chocolates which are in the boxes. Only either full box or half a box of chocolates can be purchased from him. A customer comes and buys half the number of boxes which the seller had plus half box more. A second customer comes and purchases half the remaining number of boxes plus half a box. After this the seller is left with no chocolate boxes. How many chocolate boxes the seller had initially?
A man sells chocolates which are in the boxes. Only either full box or half a box of chocolates can be purchased from him. A customer comes and buys half the number of boxes which the seller had plus half box more. A second customer comes and purchases half the remaining number of boxes plus half a box. After this the seller is left with no chocolate boxes. How many chocolate boxes the seller had initially?
There are 154 beads in a rosary and all are coloured, either RED or BLUE or GREEN. The number of blue ones is three less than red and five more than green. The number of Red beads are:
There are 154 beads in a rosary and all are coloured, either RED or BLUE or GREEN. The number of blue ones is three less than red and five more than green. The number of Red beads are:
Two alarm clocks ring their alarms at regular intervals of 50 seconds and 48 seconds. If they first beep together at 12 noon, at what time will they beep again for first time?
Two alarm clocks ring their alarms at regular intervals of 50 seconds and 48 seconds. If they first beep together at 12 noon, at what time will they beep again for first time?
Recently, a small village, in Tamilnadu where only male shepherd reside with four sheep each, was devastated by Tsunami waves. Therefore 8 persons and 47 sheep were found to be dead and the person who luckily survived, left the village with one sheep each since 21 sheep were too injured to move so have left on their on luck, in the village. The number of sheep which were earlier in the village was :
Recently, a small village, in Tamilnadu where only male shepherd reside with four sheep each, was devastated by Tsunami waves. Therefore 8 persons and 47 sheep were found to be dead and the person who luckily survived, left the village with one sheep each since 21 sheep were too injured to move so have left on their on luck, in the village. The number of sheep which were earlier in the village was :
Two numbers are in the ratio 3:4. If their LCM is 240, the smaller of two number is
Two numbers are in the ratio 3:4. If their LCM is 240, the smaller of two number is
The square of a number greater than 1000 that is not divisible by three, when divided by three, leaves a remainder of
The square of a number greater than 1000 that is not divisible by three, when divided by three, leaves a remainder of
Find the remainder when 2256 is divided by 17.
Find the remainder when 2256 is divided by 17.
Three friends, returning from a movie, stopped to eat at a restaurant. After dinner, they paid their bill and noticed a bowl of mints at the front counter. Sita took 1/3 of the mints, but returned four because she had a monetary pang of guilt. Fatima then took 1/4 of what was left but returned three for similar reasons. Eswari then took half of the remainder but threw two back into the bowl. The bowl had only 17 mints left when the raid was over. How many mints were originally in the bowl?
Three friends, returning from a movie, stopped to eat at a restaurant. After dinner, they paid their bill and noticed a bowl of mints at the front counter. Sita took 1/3 of the mints, but returned four because she had a monetary pang of guilt. Fatima then took 1/4 of what was left but returned three for similar reasons. Eswari then took half of the remainder but threw two back into the bowl. The bowl had only 17 mints left when the raid was over. How many mints were originally in the bowl?
The HCF and LCM of 24, 82, 162, 203 are :
The HCF and LCM of 24, 82, 162, 203 are :
P is a prime number and (P2 +3) is also a prime number . The no. of numbers that P can assume is:
P is a prime number and (P2 +3) is also a prime number . The no. of numbers that P can assume is:
The sum of 100 terms of the series
1 -3 +5 -7 +9 -11 .......... is:
The sum of 100 terms of the series
1 -3 +5 -7 +9 -11 .......... is:
The remainder , when (22225555+55552222) is divided by 7, is
The remainder , when (22225555+55552222) is divided by 7, is
The remainder when 6666..∞ is divided by 10 is :
The remainder when 6666..∞ is divided by 10 is :
Find the LCM and HCF of 2.5, 0.5 and 0.175.
Find the LCM and HCF of 2.5, 0.5 and 0.175.
A number when divided by 14 leaves reminder of 8, but when the same number is divided by 7, it will leave the remainder :
A number when divided by 14 leaves reminder of 8, but when the same number is divided by 7, it will leave the remainder :
The sum of the digits of two-digit number is 10, while when the digits are reversed, the number decrease by 54. Find the changed number.
The sum of the digits of two-digit number is 10, while when the digits are reversed, the number decrease by 54. Find the changed number.
There are 576 boys and 448 girls in a school that are to be divided into equal sections of either boys or girls alone. Find the total number of sections thus formed?
There are 576 boys and 448 girls in a school that are to be divided into equal sections of either boys or girls alone. Find the total number of sections thus formed?
