Problems on Numbers
- 1. What is that least number that must be added to the product 684 × 686 to make it a perfect square?
Options- A. 685
- B. 1
- C. 684
- D. 686 Also asked in: Bank Exams
Correct Answer: 1
- 2. Determine the largest 4 digit number which is a perfect square.
Options- A. 9999
- B. 9702
- C. 9604
- D. 9801 Also asked in: Bank Exams
Correct Answer: 9801
- 3. The largest 5 digit number exactly divisible by 89 is:
Options- A. 99947
- B. 99940
- C. 99938
- D. 99939 Also asked in: Bank Exams
Correct Answer: 99947
- 4. The sum of all prime numbers between 58 and 68 is
Options- A. 179
- B. 178
- C. 187
- D. 183 Also asked in: Bank Exams
Correct Answer: 187
- 5. The average of 25 consecutive odd integers is 55. The highest of these integers is
Options- A. 79
- B. 105
- C. 155
- D. 109 Also asked in: Bank Exams
Correct Answer: 79
- 6. 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?
Options- A. 4
- B. 2
- C. 0
- D. 1 Also asked in: Bank Exams
Correct Answer: 4
- 7. The difference between a number and its three-iflh is 50. What is the number ?
Options- A. 75
- B. 100
- C. 125
- D. 150 Discuss
Correct Answer: 125
Explanation:
Let the number be x. Then, x - 3x/5 = 50 <=> x = (50 * 5) / 2 = 125..
- 8. The total weight of a tin and the cookies it contains is 2 pounds. After ¾ of the cookies are eaten, the tin and the remaining cookies weigh 0.8 pounds. What is the weight of the empty tin in pounds?
Options- A. 0.2
- B. 0.3
- C. 0.4
- D. 0.5 Also asked in: GRE
Correct Answer: 0.4
Explanation:
Let the weight of the empty tin = w
(2 - w) = weight of the cookies; and one quarter of the cookies weigh (2 - w)/4
One quarter of the cookies + tin = 0.8 = w + (2 - w)/4
Multiply through by 4; 3.2 = 4w + 2 - w
1.2 = 3w; w = 0.4
- 9. If two painters can complete two rooms in two hours, how many painters would it take to do 18 rooms in 6 hours?
Options- A. 2 painters
- B. 6 painters
- C. 4 painters
- D. None Discuss
Correct Answer: 6 painters
Explanation:
Two painters can complete two rooms in two hours.So 18 rooms can be painted in 6 hrs by 6 painters
- 10. x and y are integers x + y < 11 , and x > 6 What is the smallest possible value of x - y ?
Options- A. 1
- B. 24
- C. 4
- D. -2 Also asked in: GRE
Correct Answer: 4
Explanation:
The smallest value will be obtained by giving x the smallest possible value while y gets the largest possible value. The smallest value for x = 7. This means that y will have to be less than or equal to 3 (so that x + y <11), but we want the largest value of y which is 3.
The difference, x - y will be 4.
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