Hand picked material and question banks

Latest Popular RatedShowing Page 29 of 47Total Questions 372 Join Examsbook

Q:
A number when divided by 296 gives a remainder 75. When the same number is divided by 37 the remainder will be:
1158 0

Answer : 2. "1 "
Explanation :
Let number (dividend) be X.
∴ X = 296 × Q + 75 where Q is the quotient and can have the values 1, 2, 3 etc.
= 37 × 8 × Q + 37 × 2 + 1
= 37 (8Q + 2) + 1
Thus we see that the remainder is 1.
[Remark : When the second divisor is a factor of the first divisor, the second remainder is obtained by dividing the first remainder by the second divisor.
Hence, divide 75 by 37, the remainder is 1].

Q:
A number when divided by 119, leaves a remainder of 19. If it is divided by 17, it will leave a remainder of:
1149 0

Answer : 4. "2 "
Explanation :
On dividing the given number by 119, let k be the quotient and 19 as remainder.
Then, number = 119k + 19
= 17 × 7k + 17 × 1 + 2
= 17 (7k + 1) + 2
Hence, the given number when divided by 17, gives (7k + 1) as quotient and 2 as remainder.

Q:
In a two digit number if it is known that its unit digit exceeds its tens digit by 2 and that the product of the given number and the sum of its digits is equal to 144, then the number is
1142 0

Answer : 2. "24 "

Q:
The sum 9 + 16 + 25 + 36 +_______+ 100 is equal to?
1142 0

Answer : 2. "380"

Q:
If the product of four consecutive natural numbers increased by a natural number p, is a perfect square; then the value of p is:
1141 0

Answer : 4. "1"

Q:
The zeros of the cubic polynomial $$ {2x^{3}-x^{2}-2x+1}$$ are a, b and c respectively. Find ab + bc + ca =?
1139 0

Answer : 4. "-1"

Q:
A number is doubled and 9 is added. If the resultant is tripled, it becomes 75. What is that number?
1131 0

Answer : 3. "18 "

Q:
What should be added at least in 1140 so that it becomes a perfect square?
1131 0

Q: A number when divided by 296 gives a remainder 75. When the same number is divided by 37 the remainder will be: 1158 05ee8426479b5ea388bec0116

Q: A number when divided by 119, leaves a remainder of 19. If it is divided by 17, it will leave a remainder of: 1149 0614c68834d59797c590e504e

Answer : 4. "2 " Explanation :On dividing the given number by 119, let k be the quotient and 19 as remainder.Then, number = 119k + 19= 17 × 7k + 17 × 1 + 2= 17 (7k + 1) + 2Hence, the given number when divided by 17, gives (7k + 1) as quotient and 2 as remainder.

Q: In a two digit number if it is known that its unit digit exceeds its tens digit by 2 and that the product of the given number and the sum of its digits is equal to 144, then the number is 1142 05ee85019109b5d6e015e11a0

Answer : 2. "24 "

Q: The sum 9 + 16 + 25 + 36 +_______+ 100 is equal to? 1142 06218ed3c3e501f3ab0a88515

Answer : 2. "380"

Q: If the product of four consecutive natural numbers increased by a natural number p, is a perfect square; then the value of p is: 1141 05e86d23fe378b64bed5ba759

Answer : 4. "1"

Q: The zeros of the cubic polynomial $$ {2x^{3}-x^{2}-2x+1}$$ are a, b and c respectively. Find ab + bc + ca =? 1139 06086665a1acafc129c1a38ec

Answer : 4. "-1"

Q: A number is doubled and 9 is added. If the resultant is tripled, it becomes 75. What is that number? 1131 05dbaaecc33aa9436e0e6069d

Answer : 3. "18 "

Q: What should be added at least in 1140 so that it becomes a perfect square? 1131 0602cc536a6ca4d5b0bb3cf26

Answer : 2. "16"

Report Error

Report Error

Report Error

Report Error

Report Error

Report Error

Report Error

Report Error

Q:
A number when divided by 296 gives a remainder 75. When the same number is divided by 37 the remainder will be:
1158 0

Q:
A number when divided by 119, leaves a remainder of 19. If it is divided by 17, it will leave a remainder of:
1149 0

Answer : 4. "2 "
Explanation :
On dividing the given number by 119, let k be the quotient and 19 as remainder.
Then, number = 119k + 19
= 17 × 7k + 17 × 1 + 2
= 17 (7k + 1) + 2
Hence, the given number when divided by 17, gives (7k + 1) as quotient and 2 as remainder.

Q:
In a two digit number if it is known that its unit digit exceeds its tens digit by 2 and that the product of the given number and the sum of its digits is equal to 144, then the number is
1142 0

Q:
The sum 9 + 16 + 25 + 36 +_______+ 100 is equal to?
1142 0

Q:
If the product of four consecutive natural numbers increased by a natural number p, is a perfect square; then the value of p is:
1141 0

Q:
The zeros of the cubic polynomial $$ {2x^{3}-x^{2}-2x+1}$$ are a, b and c respectively. Find ab + bc + ca =?
1139 0

Q:
A number is doubled and 9 is added. If the resultant is tripled, it becomes 75. What is that number?
1131 0

Q:
What should be added at least in 1140 so that it becomes a perfect square?
1131 0