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- Question
What is the common ratio of the following geometric sequence? 4, 2, 1, 0.5, 0.25, 0.125,...
Options- A. 0.5
- B. -1
- C. 1.5
- D. -0.5
- Correct Answer
- 0.5
ExplanationIn mathematics, a geometric progression, also known as a geometric sequence, is a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio.
Herein the given sequence, 4, 2, 1, 0.5, 0.25, 0.125,...
Common Ratio r = 2/4 = 1/2 = 0.5/1 = 0.25/0.5 = 0.125/0.25 == 0.5.
- 1. Find the number which multiplied by 15 is increased by 56 ?
Options- A. 6
- B. 4
- C. 3
- D. 12 Discuss
- 2. A person walking 6/7 of his usual rate is 30 minutes late. What is his usual time ?
Options- A. 2 hrs 50 min
- B. 3 hrs 25 min
- C. 3 hrs
- D. 2 hrs 5 min Discuss
- 3. 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
- 4. 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 :
Options- A. 253
- B. 263
- C. 273
- D. 283 Discuss
- 5. The largest 4 digit number exactly divisible by 88 is
Options- A. 8888
- B. 9999
- C. 9944
- D. 9988 Discuss
- 6. A number is doubled and 9 is added. If the resultant is trebled, it becomes 75. What is that number ?
Options- A. 2
- B. 4
- C. 6
- D. 8 Discuss
- 7. If 1 is added to the denominator of a traction, the fraction becomes 1/2. If 1 is added to the numerator of the fraction, the fraction becomes 1. The fraction is :
Options- A. 1/3
- B. 2/3
- C. 4/3
- D. 5/3 Discuss
- 8. The sum of the digits of a two-digit number is 9 less than the number. Which of the following digits is at unit's place of the number ?
Options- A. 1
- B. 2
- C. 3
- D. data inadequate Discuss
- 9. (3x + 2) (2x - 5) = ax˛ + kx + n . What is the value of a - n + k ?
Options- A. 5
- B. 8
- C. 9
- D. 10 Discuss
- 10. A person in a bet 40 shots taken. 50p for a hit, 10p for a miss.(he have to give). Finally he has Rs.5. How many hits he have ?
Options- A. 15
- B. 20
- C. 25
- D. 30 Discuss
Problems on Numbers
Search Results
Correct Answer: 4
Explanation:
Let the number be x. Then,
15x - x = 56
x = 4
Correct Answer: 3 hrs
Explanation:
Let t be the usual time. If the usual rate is 1 unit, then the unusual rate is 6/7.
Balance by the distance,
1 x t = (6/7)(t + 30)
7t = 6(t + 30)
we get t as,
t = 180 minutes = 3 hrs.
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
Correct Answer: 253
Explanation:
Let the middle digit be x.
Then, 2x = 10 or x = 5. So, the number is either 253 or 352
Since the number increases on reversing the digits, so the hundred's digit is smaller than the unit's digit.
Hence, required number = 253.
Correct Answer: 9944
Explanation:
To find the largest 4 digit number exactly divisible by 88,
We should divide the largest possible 4 digit number by 88, and if we get any remainder than subtract it from that largest number.
The largest possible 4 digit number is 9999
Now,
88) 9999 (113
88
_______
119
88
_______
319
264
_______
55
_______
Therefore, the largest 4 digit number exactly divisible by 88 is given by
9999 - 55 = 9944.
Correct Answer: 8
Explanation:
Let the number be v. Then, 3 (2x + 9) = 75.
2x + 9 = 25
=> 2x = 16
=> x = 8
Correct Answer: 2/3
Explanation:
Let the fraction be x/y. Then, x /(y+1) = 1/2
=> 2x - y = 1 ..........(i)and
(x + 1) / y = 1 => x - y = 1 .......(ii)
Solving (i) and (ii), we get : x = 2, y = 3. Hence, the required fraction is 2/3..
Correct Answer: data inadequate
Explanation:
Let the ten's digit be x and unit's digit be y. Then, (10x + y) - (x + y) = 9 or x = 1.
From this data we cannot find y, the unit's digit. So the data is inadequate..
Correct Answer: 5
Explanation:
This is a quadratic equation. To find n we multiply the last terms in each bracket together (2 times -5) = -10
To find ?a? we multiply the first terms in each bracket together (3x times 2x) = 6x2, So a = 6.
Thus a - n = 16
To find k we multiply the first term in the first bracket by the second term in the second bracket and add the result to the product of the second term in the first bracket and the first term in the second. (-15x + 4x) = -11x. So k = -11
16 - 11 = 5
Correct Answer: 15
Explanation:
Let number of hit shots be 'X'
Let number of miss shots be 'Y'
Given X + Y = 40....(1)
50X - 10Y = 500.....(2)
Solving 1 and 2, we get
X = 15 and Y = 25
Therefore, number of hits = 15
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