question_answer1) The number\[({{10}^{n}}-1)\]is divisible by 11 for____.
A) \[\text{n}\in \text{N}\] done clear
B) Odd values of n done clear
C) Even values of n done clear
D) n is the multiple of 11 done clear
View Solution play_arrowA) 4, 7 done clear
B) 7, 4 done clear
C) 5, 6 done clear
D) 6, 5 done clear
View Solution play_arrowA) 1 done clear
B) 6 done clear
C) 8 done clear
D) 7 done clear
View Solution play_arrowA) 4, 5 done clear
B) 9, 6 done clear
C) 5, 4 done clear
D) 6, 9 done clear
View Solution play_arrowA) 7 done clear
B) 3 done clear
C) 9 done clear
D) 4 done clear
View Solution play_arrowA) 4 done clear
B) 1 done clear
C) 7 done clear
D) 9 done clear
View Solution play_arrowA) 16 done clear
B) 24 done clear
C) 48 done clear
D) 96 done clear
View Solution play_arrowA) 7 done clear
B) 9 done clear
C) 5 done clear
D) 11 done clear
View Solution play_arrowA) (1, 1) or (4, 0) done clear
B) (1, 1) or (2, 0) done clear
C) (1, 1) or (0, 2) done clear
D) (2, 0) or (0, 2) done clear
View Solution play_arrowA) 5 done clear
B) 4 done clear
C) 3 done clear
D) 2 done clear
View Solution play_arrowquestion_answer11) If N divided by 5 leaves a remainder of 3, then one's digit of N must be _____.
A) Either 3 or 6 done clear
B) Either 3 or 8 done clear
C) Either 8 or 1 done clear
D) Either 8 or 6 done clear
View Solution play_arrowA) 3 done clear
B) 9 done clear
C) 7 done clear
D) 4 done clear
View Solution play_arrowquestion_answer13) A 3-digit number 'cba' is divisible by 3 if____.
A) \[\text{a + 2b + c}\] is divisible by 3 done clear
B) \[\text{2a + b + c}\] is divisible by 3 done clear
C) \[\text{a + b + 2c}\] is divisible by 3 done clear
D) \[\text{a + b + c}\] is divisible by 3 done clear
View Solution play_arrowquestion_answer14) If , then the value of B is_____.
A) 5 done clear
B) 2 done clear
C) 0 done clear
D) 4 done clear
View Solution play_arrowA) 240 done clear
B) 576 done clear
C) 4800 done clear
D) 4848 done clear
View Solution play_arrowquestion_answer16) Which of the following statements is INCORRECT?
A) All even natural numbers which are divisible by 3 are also divisible by 6. done clear
B) If a natural number is divisible by 21, then it is divisible by both 3 and 7. done clear
C) If \[AB\times 4=192\], then \[\text{A+B=10}\] done clear
D) A number of the form 14 N+ 2 leaves the remainder 2 when divided by 7. done clear
View Solution play_arrowquestion_answer17) Fill in the blanks.
(i) If sum of 3 digit numbers xyz, yzx and zxy is divided by (x + y + z), then quotient is \[\underline{\text{ P }}\]. |
(ii) The difference between 2 digit numbers ab and ba, (where a > b) is divided by 3. The quotient is \[\underline{\text{ Q }}\]. |
(iii) Sum of a 2 digit number and the number obtained by reversing its digits is always divisible by\[\underline{\text{ R }}\]. |
A)
P | Q | R |
111 | \[3(a+b)\] | 11 |
B)
P | Q | R |
99 | \[(a+b)\] | 7 |
C)
P | Q | R |
111 | \[3(a-b)\] | 11 |
D)
P | Q | R |
99 | \[(a-b)\] | 3 |
question_answer18) Match the following.
Column - I | Column - II |
(P) If \[213x27\] is divisible by 9, then \[x=\] | (i) 2 |
(Q) If \[2415x\]is divisible by 6, then \[x=\] | (ii) 8 |
(R) If \[22135x\] is divisible by 4 and 3, then \[x=\] | (iii) 3 |
(S) If \[7251x93\] is divisible by 11, then \[x=\] | (iv) 6 |
A) (P)\[\to \](iii); (Q)\[\to \](ii); (R)\[\to \](iv); (S)\[\to \](i) done clear
B) (P)\[\to \](ii); (Q)\[\to \](iv); (R)\[\to \](i); (S)\[\to \](iii) done clear
C) (P)\[\to \](iii); (Q)\[\to \](iv): (R)\[\to \](i); (S)\[\to \](ii) done clear
D) (P)\[\to \](ii); (Q)\[\to \](iii); (R)\[\to \](i); (S)\[\to \](iv) done clear
View Solution play_arrowquestion_answer19) How many 5-digit numbers of the form AABAA is divisible by 33?
A) 1 done clear
B) 3 done clear
C) 0 done clear
D) infinite done clear
View Solution play_arrowA)
(i) | (ii) |
2, 6, 7 | 9, 5, 2 |
B)
(i) | (ii) |
6, 7, 2 | 4, 3, 1 |
C)
(i) | (ii) |
7, 5, 2 | 9, 2, 5 |
D)
(i) | (ii) |
7, 6, 2 | 4, 1, 2 |
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