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*Some Basic Formula:*- (
*a*+*b*)(*a*–*b*) = (*a*^{2}–*b*^{2}) - (
*a*+*b*)^{2}= (*a*^{2}+ b^{2}+ 2*ab*) - (
*a*–*b*)^{2}= (*a*^{2}+ b^{2}– 2*ab*) - (
*a*+*b*+*c*)^{2}=*a*^{2}+ b^{2}+*c*^{2}+ 2(*ab*+*bc*+*ca*) - (
*a*^{3}+*b*^{3}) = (*a*+*b*)(*a*^{2}–*ab*+*b*^{2}) - (
*a*^{3}–*b*^{3}) = (*a*–*b*)(*a*^{2}+*ab*+*b*^{2}) - (
*a*^{3}+*b*^{3}+*c*^{3}– 3*abc*) = (*a*+*b*+*c*)(*a*^{2}+*b*^{2}+*c*^{2}–*ab*–*bc*–*ac*) - When
*a*+*b*+*c*= 0, then*a*^{3}+*b*^{3}+*c*^{3}= 3*abc*.

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- Answered
- Review

- Question 1 of 49
##### 1. Question

Which one of the following is not a prime number?

CorrectIncorrect - Question 2 of 49
##### 2. Question

What least number must be added to 1056, so that the sum is completely divisible by 23 ?

CorrectIncorrect - Question 3 of 49
##### 3. Question

How many of the following numbers are divisible by 132 ?

264, 396, 462, 792, 968, 2178, 5184, 6336CorrectIncorrect - Question 4 of 49
##### 4. Question

The largest 4 digit number exactly divisible by 88 is:

CorrectIncorrect - Question 5 of 49
##### 5. Question

What is the unit digit in {(6374)

^{1793}x (625)^{317}x (341^{491})}?CorrectIncorrect - Question 6 of 49
##### 6. Question

#### Find the number, when 15 is subtracted from 7 times the number, the result is 10 more than twice of the number.

CorrectIncorrect - Question 7 of 49
##### 7. Question

#### Sum of a rational number and its reciprocal is 13/6. Find the number

CorrectIncorrect - Question 8 of 49
##### 8. Question

#### find the number, difference between number and its 3/5 is 50.

CorrectIncorrect - Question 9 of 49
##### 9. Question

#### The sum of the squares of three numbers is 138, while the sum of their products taken two at a time is 131. Their sum is

CorrectIncorrect - Question 10 of 49
##### 10. Question

#### If one third of one fourth of number is 15, then three tenth of number is

CorrectIncorrect - Question 11 of 49
##### 11. Question

#### A number is doubled and 9 is added. If resultant is trebled, it becomes 75. What is that number

CorrectIncorrect - Question 12 of 49
##### 12. Question

#### Find a positive number which when increased by 17 is equal to 60 times the reciprocal of the number

CorrectIncorrect - Question 13 of 49
##### 13. Question

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

CorrectIncorrect - Question 14 of 49
##### 14. Question

#### Three times the first of three consecutive odd integers is 3 more than twice the third. The third integer is

CorrectIncorrect - Question 15 of 49
##### 15. Question

#### Find the number which when multiplied by 15 is increased by 196

CorrectIncorrect - Question 16 of 49
##### 16. Question

#### find the number, If 50 is subtracted from two-third of number, the result is equal to sum of 40 and one-fourth of that number.

CorrectIncorrect - Question 17 of 49
##### 17. Question

#### Sum of three numbers 264, If the first number be twice then second and third number be one third of the first, then the second number is

CorrectIncorrect - Question 18 of 49
##### 18. Question

#### Sum of two numbers is 25 and their difference is 13. Find their product.

CorrectIncorrect - Question 19 of 49
##### 19. Question

#### Sum of two numbers is 40 and their difference is 4. The ratio of the numbers is

CorrectIncorrect - Question 20 of 49
##### 20. Question

#### Two numbers differ by 5. If their product is 336, then sum of two number is

CorrectIncorrect - Question 21 of 49
##### 21. Question

#### Difference between a two-digit number and the number obtained by interchanging the two digits is 36, what is the difference between two numbers

CorrectIncorrect - Question 22 of 49
##### 22. Question

#### A father is twice as old as his son. 20 years ago, the age of the father was 12 times the age of the son. The present age of the father (in years) is

CorrectIncorrect - Question 23 of 49
##### 23. Question

A number when divided by a divisor leaves a remainder of 24. When twice the original number is divided by the same divisor, the remainder is 11. What is the value of the divisor?

CorrectIncorrect - Question 24 of 49
##### 24. Question

The product of 4 consecutive even numbers is always divisible by:

CorrectIncorrect - Question 25 of 49
##### 25. Question

What is the minimum number of square marbles required to tile a floor of length 5 metres 78 cm and width 3 metres 74 cm? CorrectIncorrect - Question 26 of 49
##### 26. Question

What number should be subtracted from x^3+4x^2−7x+12 if it is to be perfectlydivisible by x + 3? CorrectIncorrect - Question 27 of 49
##### 27. Question

Find the remainder when 289 is divided by 89?

CorrectIncorrect - Question 28 of 49
##### 28. Question

What is the remainder when 37 is divided by 8? CorrectIncorrect - Question 29 of 49
##### 29. Question

A boy writes all the numbers from 100 to 999. The number of zeroes that he uses is ‘a’, the number of 5’s that he uses is ‘b’ and the number of 8’s he uses is ‘c’. What is the value of b+c-a?

CorrectIncorrect - Question 30 of 49
##### 30. Question

In a meet, persons from five different places have assembled in Bangalore High School. From the five places the persons come to represent are 42,60,210,90 and 84. What is the minimum number of rooms that would be required to accommodate so that each room has the same number of occupants and occupants are all from the same places? CorrectIncorrect - Question 31 of 49
##### 31. Question

A set has exactly five consecutive positive integers starting with 1. What is the percentage decrease in the average of the numbers when the greatest one of the numbers is removed from the set?

CorrectIncorrect - Question 32 of 49
##### 32. Question

When writing numbers from 1 to 10,000, how many times is the digit 9 written?

CorrectIncorrect - Question 33 of 49
##### 33. Question

Which digits should come in place of @ and # if the number 62684@# is divisible by both 8 and 5?

CorrectIncorrect - Question 34 of 49
##### 34. Question

How many keystrokes are needed to type numbers from 1 to 1000 on a standard keyboard?

CorrectIncorrect - Question 35 of 49
##### 35. Question

How many natural numbers below 660 are divisible by 5 and 11 but not by 3?

CorrectIncorrect - Question 36 of 49
##### 36. Question

What is the maximum value of m such that 7m divides into 14! evenly?

CorrectIncorrect - Question 37 of 49
##### 37. Question

Find the remainder when 3^164 is divided by 162?

CorrectIncorrect - Question 38 of 49
##### 38. Question

Which one of the following is the minimum value of the sum of two integers whoseproduct is 36?

CorrectIncorrect - Question 39 of 49
##### 39. Question

If a and b are positive integers, and x=2×3×7×a , and y=2×2×8×b , and the values of both x and y lie between 120 and 130 (not including the two), then a–b= CorrectIncorrect - Question 40 of 49
##### 40. Question

A number when divided by 342 gives a remainder 47. When the same number is

divided by 19, what would be the remainder?CorrectIncorrect - Question 41 of 49
##### 41. Question

A bank issued credit card numbers and the corresponding PIN (Personal Identification Number). Both are 3-digit numbers up to 996. Pinaki was the last to get the credit card and so he had the last possible credit card number. He was afraid of forgetting his PIN. He wrote down the number 123 in his diary to remember his PIN. He also wrote out the way to calculate 123 : “Multiply the card number by PIN. Divide the product by 997. The remainder is 123”. Once, Prafull saw his diary in which Pinaki wrote this number 123. Prafull did a lot of purchasing, as he now knows Pinaki’s PIN. What is Pinaki’s PIN?

CorrectIncorrect - Question 42 of 49
##### 42. Question

The least common multiple of two natural numbers a and b, is 399. What is theminimum possible sum of the digits of the number a(given a > b)?

CorrectIncorrect - Question 43 of 49
##### 43. Question

When 242 is divided by a certain divisor the remainder obtained is 8. When 698 is divided by the same divisor the remainder obtained is 9. However, when the sum of the two numbers 242 and 698 is divided by the divisor, the remainder obtained is 4. What is the value of the divisor?

CorrectIncorrect - Question 44 of 49
##### 44. Question

Four digits of the number 29138576 are omitted so that the result is as large as possible. The largest omitted digit is

CorrectIncorrect - Question 45 of 49
##### 45. Question

If a person makes a row of toys of 20 each, there would be 15 toys left. If they made to stand in rows of 25 each, there would be 20 toys left, if they made to stand in rows of 38 each, there would be 33 toys left and if they are made to stand in rows of 40 each, there would be 35 toys left. What is the minimum number of toys the person have?

CorrectIncorrect - Question 46 of 49
##### 46. Question

a, b, c, d, and e are five consecutive numbers in increasing order of size. Deleting one of the five numbers from the set decreased the sum of the remaining numbers in the set by 20%. Which one of the following numbers was deleted?

CorrectIncorrect - Question 47 of 49
##### 47. Question

A chain smoker had spent all the money he had. He had no money to buy his cigarettes. Hence, he resorted to join the stubs and to smoke them. He needed 4 stubs to make a single cigarette. If he got a pack of 10 cigarettes as a gift, then how many cigarettes could he smoke in all?

CorrectIncorrect - Question 48 of 49
##### 48. Question

2ab5 is a four-digit number divisible by 25. If the number formed from the two digits ab is a multiple of 13, then ab =

CorrectIncorrect - Question 49 of 49
##### 49. Question

The positive integers m and n leave remainders of 2 and 3, respectively, whendivided by 6. m>n. What is the remainder when m–n is divided by 6?

CorrectIncorrect

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