41. Which of the following pairs of non-zero values of p and q make 6-digit number 674pq0 divisible by both 3 and 11?
42. The number which can be written in the form of n(n + 1)(n + 2), where n is a natural number, is:
43. What is the value of 9991 × 10009?
44. Twenty one times of a positive number is less than its square by 100. The value of the positive number is:
45. Let x = (633)24 - (277)38 + (266)54. What is the units digits of x?
46. What is the sum of all the common terms between the given series S1 and S2?
S1 = 2, 9, 16, . . . . . ., 632
S2 = 7, 11, 15, . . . . . ., 743
S1 = 2, 9, 16, . . . . . ., 632
S2 = 7, 11, 15, . . . . . ., 743
47. The sum of 10 terms of the arithmetic series is 390. If the third term of the series is 19. Find the first term?
48. If x = (164)169 + (333)337 - (727)726, then what is the units digit of x?
49. The quotient when 10100 is divided by 575 is:
50. x, y and z are distinct prime numbers where x < y < z. If x + y + z = 70, then what is the value of z?
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