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Question: The sum of the squares of three numbers is 138, while the sum of their products taken two at a time is 131. Their sum is: [A]. 20 [B]. 30 [C]. 40 [D]. None of these Answer: Option A Explanation: Let the numbers be a, b and c. Then, a2 + b2 + c2…
Question: A two-digit number is such that the product of the digits is 8. When 18 is added to the number, then the digits are reversed. The number is: [A]. 18 [B]. 24 [C]. 42 [D]. 81 Answer: Option B Explanation: Let the ten’s and unit digit be x and 8 respectively. x Then, 10x…
Question: A number consists of 3 digits whose sum is 10. The middle digit is equal to the sum of the other two and the number will be increased by 99 if its digits are reversed. The number is: [A]. 145 [B]. 253 [C]. 370 [D]. 352 Answer: Option B Explanation: Let the middle digit…
Question: The difference between a two-digit number and the number obtained by interchanging the digits is 36. What is the difference between the sum and the difference of the digits of the number if the ratio between the digits of the number is 1 : 2 ? [A]. 4 [B]. 8 [C]. 16 [D]. None…
Question: The difference between a two-digit number and the number obtained by interchanging the positions of its digits is 36. What is the difference between the two digits of that number? [A]. 3 [B]. 4 [C]. 9 [D]. Cannot be determined Answer: Option B Explanation: Let the ten’s digit be x and unit’s digit be…
Question: A number consists of two digits. If the digits interchange places and the new number is added to the original number, then the resulting number will be divisible by: [A]. 3 [B]. 5 [C]. 9 [D]. 11 Answer: Option D Explanation: Let the ten’s digit be x and unit’s digit be y. Then, number…
Question: In a two-digit, if it is known that its unit’s digit exceeds its ten’s digit by 2 and that the product of the given number and the sum of its digits is equal to 144, then the number is: [A]. 24 [B]. 26 [C]. 42 [D]. 46 Answer: Option A Explanation: Let the ten’s…
Question: 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]. 69 [B]. 78 [C]. 96 [D]. Cannot be determined Answer: Option D Explanation: Let the ten’s digit be x and unit’s digit be y. Then, x + y =…
Question: What is the sum of two consecutive even numbers, the difference of whose squares is 84? [A]. 34 [B]. 38 [C]. 42 [D]. 46 Answer: Option C Explanation: Let the numbers be x and x + 2. Then, (x + 2)2 – x2 = 84 4x + 4 = 84 4x = 80 x…
Question: Three times the first of three consecutive odd integers is 3 more than twice the third. The third integer is: [A]. 9 [B]. 11 [C]. 13 [D]. 15 Answer: Option D Explanation: Let the three integers be x, x + 2 and x + 4. Then, 3x = 2(x + 4) + 3 …