A) 15 done clear
B) 5 done clear
C) 13 done clear
D) Both B and C done clear
E) None of these done clear
View Solution play_arrowquestion_answer2) The greatest number of 5 digits exactly divisible by 15, 24 and 36 is ____
A) 99620 done clear
B) 99720 done clear
C) 99968 done clear
D) 99960 done clear
E) None of these done clear
View Solution play_arrowA) 997920 done clear
B) 999768 done clear
C) 999660 done clear
D) 999760 done clear
E) None of these done clear
View Solution play_arrowA) 102 done clear
B) 222 done clear
C) 202 done clear
D) 204 done clear
E) None of these done clear
View Solution play_arrowA) a rational number done clear
B) not a rational number done clear
C) an integer done clear
D) a natural number done clear
E) None of these done clear
View Solution play_arrowA) 52 done clear
B) 26 done clear
C) 17 done clear
D) 18 done clear
E) None of these done clear
View Solution play_arrowquestion_answer7) Which one among the following statements is true?
A) The remainder when the square of any number is divided by 4 is 1 or 0. done clear
B) There is no natural number for which 4 ends with digit zero. done clear
C) A positive integer n is prime, if no prime p less than or equal to \[\sqrt{n}\] divides n. done clear
D) All the above done clear
E) None of these done clear
View Solution play_arrowA) 0 done clear
B) 1 done clear
C) 2 done clear
D) 3 done clear
E) None of these done clear
View Solution play_arrowA) 5 done clear
B) 7 done clear
C) 17 done clear
D) 13 done clear
E) None of these done clear
View Solution play_arrowquestion_answer10) If I is a positive integer then \[{{(I)}^{2}}\] will be in the form of ????
A) 4m for some integer m done clear
B) 8m for some integer m done clear
C) 4m+1 for some integer m done clear
D) Both A and C done clear
E) None of these done clear
View Solution play_arrowquestion_answer11) Which among the following statements is not true?
A) The square of any odd integer is of the form 4q + 1, for some integer q. done clear
B) For any odd integer p, \[{{p}^{2}}\]- 1 is divisible by 8. done clear
C) If p and q are both odd positive integers/ then \[{{p}^{2}}+\text{ }{{q}^{2}}\]is even and divisible by 4. done clear
D) For any natural number n, \[{{12}^{n}}\]cannot end with the digit 0 or 5. done clear
E) None of these done clear
View Solution play_arrowquestion_answer12) For any natural number n, \[{{(2n+1)}^{2}}-1\] is always divisible by ______
A) 2 done clear
B) 4 done clear
C) 8 done clear
D) All the above done clear
E) None of these done clear
View Solution play_arrowquestion_answer13) Which of the following statements is always true?
A) The sum or difference of a rational and an irrational number is rational. done clear
B) Every irrational number is a surd. done clear
C) The product or quotient of a non-zero rational number and an irrational number is irrational. done clear
D) All the above done clear
E) None of these done clear
View Solution play_arrowA) 0 done clear
B) 4 done clear
C) 6 done clear
D) Either B or C done clear
E) None of these done clear
View Solution play_arrowA) 12375 done clear
B) 14175 done clear
C) 825 done clear
D) 925 done clear
E) None of these done clear
View Solution play_arrowA) 38 done clear
B) 40 done clear
C) 43 done clear
D) 45 done clear
E) None of these done clear
View Solution play_arrowA) \[\frac{123}{16}\] done clear
B) \[\frac{351}{{{2}^{7}}\times {{5}^{8}}\times {{7}^{18}}}\] done clear
C) \[\frac{32}{{{2}^{8}}\times {{5}^{9}}}\] done clear
D) \[\frac{833}{49\times {{2}^{7}}}\] done clear
E) None of these done clear
View Solution play_arrowA) 117 done clear
B) 109 done clear
C) 27 done clear
D) 43 done clear
E) None of these done clear
View Solution play_arrowA) One decimal places done clear
B) Two decimal places done clear
C) Three decimal places done clear
D) Four decimal places done clear
E) None of these done clear
View Solution play_arrowquestion_answer20) Find the greatest prime factor in 527527.
A) 17 done clear
B) 11 done clear
C) 13 done clear
D) 31 done clear
E) None of these done clear
View Solution play_arrowA) 2 done clear
B) 3 done clear
C) 4 done clear
D) 5 done clear
E) None of these done clear
View Solution play_arrowA) 330 done clear
B) 1470 done clear
C) 525 done clear
D) 462 done clear
E) None of these done clear
View Solution play_arrowA) 8 done clear
B) 2 done clear
C) 6 done clear
D) 0 done clear
E) None of these done clear
View Solution play_arrowA) 0 done clear
B) 1 done clear
C) 2 done clear
D) 3 done clear
E) None of these done clear
View Solution play_arrowA) p > q > r done clear
B) p < q < r done clear
C) p > r > q done clear
D) p < r < q done clear
E) None of these done clear
View Solution play_arrowquestion_answer26) The number of ways, in which 360 can be resolved in two factors, is ______
A) 24 done clear
B) 18 done clear
C) 12 done clear
D) 15 done clear
E) None of these done clear
View Solution play_arrowA) uvxy done clear
B) uvwxy done clear
C) uxwy done clear
D) vwxy done clear
E) None of these done clear
View Solution play_arrowA) 15 done clear
B) 30 done clear
C) 60 done clear
D) 80 done clear
E) None of these done clear
View Solution play_arrowA) 3 done clear
B) 4 done clear
C) 5 done clear
D) 1 done clear
E) None of these done clear
View Solution play_arrowquestion_answer30) Choose which one among the following statement is incorrect?
A) HCF of two co-primes a and b is 1. done clear
B) LCM of two co-primes m and n is mn. done clear
C) By using Euclid's division lemma for two numbers 155 and 345, we get 345 = 155 \[\mathbf{\times }\] 2 + 35. done clear
D) The remainder, when the square of any prime number greater than 3 is divided by 6, is 1. done clear
E) None of these done clear
View Solution play_arrowA) 0 done clear
B) 1 done clear
C) 2 done clear
D) 3 done clear
E) None of these done clear
View Solution play_arrowA) 11 done clear
B) 15 done clear
C) 13 done clear
D) 10 done clear
E) None of these done clear
View Solution play_arrowA) 6200 done clear
B) 625 done clear
C) 6218 done clear
D) 3208 done clear
E) None of these done clear
View Solution play_arrowquestion_answer34) \[\sqrt{\frac{\mathbf{7+4}\sqrt{\mathbf{3}}}{\mathbf{2}}}\]equals to ________
A) \[\sqrt{2}+\sqrt{6}\] done clear
B) \[\frac{2\sqrt{2}+\sqrt{6}}{2}\] done clear
C) \[\frac{\sqrt{2}+\sqrt{6}}{2}\] done clear
D) \[\frac{\sqrt{3}+2}{4}\] done clear
E) None of these done clear
View Solution play_arrowA) One done clear
B) Two done clear
C) Three done clear
D) Four done clear
E) None of these done clear
View Solution play_arrowquestion_answer36) The number of ways, in which 576 can be resolved into two factors, is ________
A) 8 done clear
B) 9 done clear
C) 10 done clear
D) 11 done clear
E) None of these done clear
View Solution play_arrowA) 2 hours 20 minutes done clear
B) 2 hours done clear
C) 3 hours 18 minutes done clear
D) 2 hours 24 minutes done clear
E) None of these done clear
View Solution play_arrowquestion_answer38) If LCM and HCF of two numbers are equal, then the numbers will be _________
A) Composite done clear
B) Prime done clear
C) Equal done clear
D) Co-prime done clear
E) None of these done clear
View Solution play_arrowA) 1 done clear
B) 2 done clear
C) 3 done clear
D) 4 done clear
E) None of these done clear
View Solution play_arrowIf \[A=14+(1\times 2\times 3\times 4\times 5\times \,\,................\,10\times 14)\]and \[B=19+(1\times 2\times 3\times 4\times 5\,\,................\,10\times 19)\] then which one of the following is/are correct? |
(i) \[B-A\] is a prime number. |
(ii) \[B+A\] is a composite number. |
(iii) A is a composite number. |
(iv) B is a prime number. |
A) Both (i) and (ii) done clear
B) Both (ii) and (iii) done clear
C) Both (iii) and (iv) done clear
D) All (i), (ii), (iii) and (iv) done clear
E) None of these done clear
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