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Page 1 QID : 1 - What is the unit digit of the sum of first 111 whole numbers? ?? 111 ? ? ? ? ? ?? ? ? ? ??? ?? ???? ? ? ? ? ? ?? Options: 1) 4 2) 6 3) 5 4) 0 Correct Answer: 5 Candidate Answer: 5 QID : 2 - How many 100 digit positive number are there? 100 ? ? ?? ? ?? ????? ??? ? ? ? ?? ? ? ? Options: 1) 9 × 10 99 2) 9 × 10 100 3) 10100 4) 11 × 10 98 Correct Answer: 9 × 10 99 Candidate Answer: 9 × 10 99 QID : 3 - Options: 1) 2 2) 1 3) 3 4) 3/2 Correct Answer: 2 Candidate Answer: 3/2 Page - 2 Page 2 QID : 1 - What is the unit digit of the sum of first 111 whole numbers? ?? 111 ? ? ? ? ? ?? ? ? ? ??? ?? ???? ? ? ? ? ? ?? Options: 1) 4 2) 6 3) 5 4) 0 Correct Answer: 5 Candidate Answer: 5 QID : 2 - How many 100 digit positive number are there? 100 ? ? ?? ? ?? ????? ??? ? ? ? ?? ? ? ? Options: 1) 9 × 10 99 2) 9 × 10 100 3) 10100 4) 11 × 10 98 Correct Answer: 9 × 10 99 Candidate Answer: 9 × 10 99 QID : 3 - Options: 1) 2 2) 1 3) 3 4) 3/2 Correct Answer: 2 Candidate Answer: 3/2 Page - 2 QID : 4 - Options: 1) 1/4 2) 1/2 3) 1 4) 2 Correct Answer: 2 Candidate Answer: 1 QID : 5 - What is the unit digit of (217) 413 × (819) 547 × (414) 624 × (342) 812 ? (217) 413 × (819) 547 × (414) 624 × (342) 812 ?? ???? ? ? ? ? ? ?? Options: 1) 2 2) 4 3) 6 4) 8 Correct Answer: 8 Candidate Answer: [ NOT ANSWERED ] QID : 6 - Options: 1) 6179/15275 2) 6070/14973 3) 7191/15174 4) 5183/16423 Correct Answer: 6070/14973 Candidate Answer: [ NOT ANSWERED ] Page - 3 Page 3 QID : 1 - What is the unit digit of the sum of first 111 whole numbers? ?? 111 ? ? ? ? ? ?? ? ? ? ??? ?? ???? ? ? ? ? ? ?? Options: 1) 4 2) 6 3) 5 4) 0 Correct Answer: 5 Candidate Answer: 5 QID : 2 - How many 100 digit positive number are there? 100 ? ? ?? ? ?? ????? ??? ? ? ? ?? ? ? ? Options: 1) 9 × 10 99 2) 9 × 10 100 3) 10100 4) 11 × 10 98 Correct Answer: 9 × 10 99 Candidate Answer: 9 × 10 99 QID : 3 - Options: 1) 2 2) 1 3) 3 4) 3/2 Correct Answer: 2 Candidate Answer: 3/2 Page - 2 QID : 4 - Options: 1) 1/4 2) 1/2 3) 1 4) 2 Correct Answer: 2 Candidate Answer: 1 QID : 5 - What is the unit digit of (217) 413 × (819) 547 × (414) 624 × (342) 812 ? (217) 413 × (819) 547 × (414) 624 × (342) 812 ?? ???? ? ? ? ? ? ?? Options: 1) 2 2) 4 3) 6 4) 8 Correct Answer: 8 Candidate Answer: [ NOT ANSWERED ] QID : 6 - Options: 1) 6179/15275 2) 6070/14973 3) 7191/15174 4) 5183/16423 Correct Answer: 6070/14973 Candidate Answer: [ NOT ANSWERED ] Page - 3 QID : 7 - Options: 1) Only I ? ? ?? I 2) Only II ? ? ?? II 3) Only III ? ? ?? III 4) Only IV ? ? ?? IV Correct Answer: Only III ? ? ?? III Candidate Answer: Only III ? ? ?? III QID : 8 - N is the largest two digit number, which when divided by 3, 4 and 6 leaves the remainder 1, 2 and 4 respectively. What is the remainder when N is divided by 5? ?? ? ? ?? ? ?? ?? ??? ? ??? ? ? ? N ? ? , ??? ? ?? 3, 4 ??? 6 ? ? ??????? ???? ???? ? ? ?? ? ? ??? ??? 1, 2 ??? 4 ??? ? ? ? N ?? 5 ? ? ??????? ??? ? ?? ? ? ??? ? ? ?? Options: 1) 4 2) 2 3) 0 4) 1 Correct Answer: 4 Candidate Answer: 1 Page - 4 Page 4 QID : 1 - What is the unit digit of the sum of first 111 whole numbers? ?? 111 ? ? ? ? ? ?? ? ? ? ??? ?? ???? ? ? ? ? ? ?? Options: 1) 4 2) 6 3) 5 4) 0 Correct Answer: 5 Candidate Answer: 5 QID : 2 - How many 100 digit positive number are there? 100 ? ? ?? ? ?? ????? ??? ? ? ? ?? ? ? ? Options: 1) 9 × 10 99 2) 9 × 10 100 3) 10100 4) 11 × 10 98 Correct Answer: 9 × 10 99 Candidate Answer: 9 × 10 99 QID : 3 - Options: 1) 2 2) 1 3) 3 4) 3/2 Correct Answer: 2 Candidate Answer: 3/2 Page - 2 QID : 4 - Options: 1) 1/4 2) 1/2 3) 1 4) 2 Correct Answer: 2 Candidate Answer: 1 QID : 5 - What is the unit digit of (217) 413 × (819) 547 × (414) 624 × (342) 812 ? (217) 413 × (819) 547 × (414) 624 × (342) 812 ?? ???? ? ? ? ? ? ?? Options: 1) 2 2) 4 3) 6 4) 8 Correct Answer: 8 Candidate Answer: [ NOT ANSWERED ] QID : 6 - Options: 1) 6179/15275 2) 6070/14973 3) 7191/15174 4) 5183/16423 Correct Answer: 6070/14973 Candidate Answer: [ NOT ANSWERED ] Page - 3 QID : 7 - Options: 1) Only I ? ? ?? I 2) Only II ? ? ?? II 3) Only III ? ? ?? III 4) Only IV ? ? ?? IV Correct Answer: Only III ? ? ?? III Candidate Answer: Only III ? ? ?? III QID : 8 - N is the largest two digit number, which when divided by 3, 4 and 6 leaves the remainder 1, 2 and 4 respectively. What is the remainder when N is divided by 5? ?? ? ? ?? ? ?? ?? ??? ? ??? ? ? ? N ? ? , ??? ? ?? 3, 4 ??? 6 ? ? ??????? ???? ???? ? ? ?? ? ? ??? ??? 1, 2 ??? 4 ??? ? ? ? N ?? 5 ? ? ??????? ??? ? ?? ? ? ??? ? ? ?? Options: 1) 4 2) 2 3) 0 4) 1 Correct Answer: 4 Candidate Answer: 1 Page - 4 QID : 9 - Options: 1) Only I ? ? ?? I 2) Only II ? ? ?? II 3) Only III ? ? ?? III 4) Only IV ? ? ?? IV Correct Answer: Only III ? ? ?? III Candidate Answer: Only II ? ? ?? II QID : 10 - A and B are positive integers. If A + B + AB = 65, then what is the difference between A and B (A, B = 15)? A ??? B ??? ? ? ? ?? ? ? ? ??? A + B + AB = 65 ? ?, ?? A ??? B ? ? ? ? ? ?? ? ? ? (A, B = 15)? Options: 1) 3 2) 4 3) 5 4) 6 Correct Answer: 5 Candidate Answer: [ NOT ANSWERED ] QID : 11 - What is the value of 14 3 + 16 3 + 18 3 + … + 30 3 ? 14 3 + 16 3 + 18 3 + … + 30 3 ?? ??? ? ? ?? Options: 1) 134576 2) 120212 3) 115624 4) 111672 Correct Answer: 111672 Candidate Answer: 111672 Page - 5 Page 5 QID : 1 - What is the unit digit of the sum of first 111 whole numbers? ?? 111 ? ? ? ? ? ?? ? ? ? ??? ?? ???? ? ? ? ? ? ?? Options: 1) 4 2) 6 3) 5 4) 0 Correct Answer: 5 Candidate Answer: 5 QID : 2 - How many 100 digit positive number are there? 100 ? ? ?? ? ?? ????? ??? ? ? ? ?? ? ? ? Options: 1) 9 × 10 99 2) 9 × 10 100 3) 10100 4) 11 × 10 98 Correct Answer: 9 × 10 99 Candidate Answer: 9 × 10 99 QID : 3 - Options: 1) 2 2) 1 3) 3 4) 3/2 Correct Answer: 2 Candidate Answer: 3/2 Page - 2 QID : 4 - Options: 1) 1/4 2) 1/2 3) 1 4) 2 Correct Answer: 2 Candidate Answer: 1 QID : 5 - What is the unit digit of (217) 413 × (819) 547 × (414) 624 × (342) 812 ? (217) 413 × (819) 547 × (414) 624 × (342) 812 ?? ???? ? ? ? ? ? ?? Options: 1) 2 2) 4 3) 6 4) 8 Correct Answer: 8 Candidate Answer: [ NOT ANSWERED ] QID : 6 - Options: 1) 6179/15275 2) 6070/14973 3) 7191/15174 4) 5183/16423 Correct Answer: 6070/14973 Candidate Answer: [ NOT ANSWERED ] Page - 3 QID : 7 - Options: 1) Only I ? ? ?? I 2) Only II ? ? ?? II 3) Only III ? ? ?? III 4) Only IV ? ? ?? IV Correct Answer: Only III ? ? ?? III Candidate Answer: Only III ? ? ?? III QID : 8 - N is the largest two digit number, which when divided by 3, 4 and 6 leaves the remainder 1, 2 and 4 respectively. What is the remainder when N is divided by 5? ?? ? ? ?? ? ?? ?? ??? ? ??? ? ? ? N ? ? , ??? ? ?? 3, 4 ??? 6 ? ? ??????? ???? ???? ? ? ?? ? ? ??? ??? 1, 2 ??? 4 ??? ? ? ? N ?? 5 ? ? ??????? ??? ? ?? ? ? ??? ? ? ?? Options: 1) 4 2) 2 3) 0 4) 1 Correct Answer: 4 Candidate Answer: 1 Page - 4 QID : 9 - Options: 1) Only I ? ? ?? I 2) Only II ? ? ?? II 3) Only III ? ? ?? III 4) Only IV ? ? ?? IV Correct Answer: Only III ? ? ?? III Candidate Answer: Only II ? ? ?? II QID : 10 - A and B are positive integers. If A + B + AB = 65, then what is the difference between A and B (A, B = 15)? A ??? B ??? ? ? ? ?? ? ? ? ??? A + B + AB = 65 ? ?, ?? A ??? B ? ? ? ? ? ?? ? ? ? (A, B = 15)? Options: 1) 3 2) 4 3) 5 4) 6 Correct Answer: 5 Candidate Answer: [ NOT ANSWERED ] QID : 11 - What is the value of 14 3 + 16 3 + 18 3 + … + 30 3 ? 14 3 + 16 3 + 18 3 + … + 30 3 ?? ??? ? ? ?? Options: 1) 134576 2) 120212 3) 115624 4) 111672 Correct Answer: 111672 Candidate Answer: 111672 Page - 5 QID : 12 - Options: 1) 69 2) 68 3) 70 4) 72 Correct Answer: 68 Candidate Answer: 68 QID : 13 - If x + y + z = 0, then what is the value of (3y 2 + x 2 + z 2 )/(2y 2 – xz)? ??? x + y + z = 0 ??, ?? (3y 2 + x 2 + z 2 )/(2y 2 – xz) ?? ??? ? ? ?? Options: 1) 2 2) 1 3) 3/2 4) 5/3 Correct Answer: 2 Candidate Answer: 2 QID : 14 - If P = 7 + 4v3 and PQ = 1, then what is the value of 1/P 2 + 1/Q 2 ? ??? P = 7 + 4v3 ??? PQ = 1 ? , ?? 1/P 2 + 1/Q 2 ?? ??? ? ? ?? Options: 1) 196 2) 194 3) 206 4) 182 Correct Answer: 194 Candidate Answer: 194 QID : 15 - If a 3 + 3a 2 + 9a = 1, then what is the value of a 3 + (3/a)? ??? a 3 + 3a 2 + 9a = 1 ??, ?? a 3 + (3/a) ?? ??? ? ? ?? Options: 1) 31 2) 26 3) 28 4) 24 Correct Answer: 28 Candidate Answer: 28 QID : 16 - x, y and z are real numbers. If x 3 + y 3 + z 3 = 13,x + y + z = 1 and xyz = 1, then what is the value of xy + yz + zx? x, y ??? z ?? ??? ? ? ?? ? ? ? ??? x 3 + y 3 + z 3 = 13, x + y + z = 1 ??? xyz = 1 ? , ?? xy + yz + zx ?? ??? ? ? ?? Options: 1) – 1 2) 1 3) 3 4) – 3 Correct Answer: – 3 Candidate Answer: 1 Page - 6Read More
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