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Test your math skills with these challenging number system questions covering simplification, unit digits, divisibility, remainders, and more!
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Q2.The unit digit of 25 x 17 x 231 x 43 x 59a is 5. How many possible numbers can come in place of a?
Q3.Two pencils are 24cm and 42cm long. If we have to make them of equal size, then the minimum number of similar pencils is
Q4. Which digits should come in place of @ and # if the number 62684@# is divisible by both 8 and 5? A)4,0 B)3,0 C)1,7 D)none
Q5. Find Remainder[ (12 * 13 * 14) / 5 ] A)1 B)2 C)3 D)4
Q6.What is the remainder when 64999 is divided by 7? A)1 B)2 C)3 D)4
Q 7.What is the remainder when 444444 ^ 444 is divided by 7 ? A)1 B)2 C)3 D)4
Q8.10025-7 is always divisible by • 3 • 9 • 6 • 4
Q9. How many keystrokes are needed to type numbers from 1 to 1000 on a standard keyboard ? A)2880 B)2889 C)2887 D)2888 E)none
Q10. The sum of the digits of a two-digit number is 15 and the difference between the digits is 3. What is the two-digit number? A)87 B)96 C)78 D)None of these
Q11. Find a positive number which when increased by 17 is equal to 60 times the reciprocal of the number. A)24 B)42 C)84 D)none
Q12. The last two digits of 998915423 are A)81 B)91 C)61 D)None
Q13. Determine the digit in the units position of 13^23 * 27^37 * 19^45. A)7 B)9 C)3 D)none
Q14. Which term of the series 5, 8, 11, 14,.....is 320? A)104th B)105th C)106th D)107th
Q15. If the ratio of the sum of the first 6 terms of a G.P. to the sum of the first 3 terms of the G.P. is 9, what is the common ratio of the G.P? A)1/3 B)2 C)9 D)1/9
Q16. Which of the following has the most number of divisors? A)99 B)100 C)101 D)176
Q17. Let N be the greatest number that will divide 1305, 4665 and 6905, leaving the same remainder in each case. Then sum of the digits in N is A)4 B)5 C)8 D)6
Q18. The greatest number of four digits which is divisible by 15, 25, 40 and 75 is A)9000 B)9600 C)8000 D)None
Q19.Which of the following fraction is the largest ? • 7/8 • 13/16 • 31/40 • 63/80
Q20.The LCM of two number is 4800 and their HCF is 160. If one number is 480 , then the second number is
Q21. Reduce 128352/238368 to its lowest term A)3/4 B)5/13 C)7/13 D)9/13
Q22)If n is a positive integer and (n + 1)(n + 3) is odd, then (n + 2)(n + 4) must be a multiple of which one of the following? A)6 B)3 C)8 D)None of these