Discussion
Home ‣ Aptitude ‣ Square Root and Cube Root Comments
- Question
- 112/?196 x ?579/12 x ?256/8 =?
Options- A. 8
- B. 12
- C. 16
- D. 32
- Correct Answer
- 32
ExplanationGiven Expression 112/?196 x ?579/12 x ?256/8
=(112/14) x (24/12) x (16/8)
= 32 - 1. If ? y/169 = 54/39, then y is equal to?
Options- A. 108
- B. 324
- C. 2916
- D. 4800 Discuss
- 2. Find the cube root of 19683.
Options- A. 25
- B. 26
- C. 28
- D. 27 Discuss
- 3. In a examination out of 480 students, 85% of the girls and 70% of the boys passed. How many boys appeared in the examination, if total pass percentage was 75%?
Options- A. 370
- B. 340
- C. 320
- D. 360 Discuss
- 4. The tank-full of petrol in Arun's motor-cycle lasts for 10 days. If he starts using 25% more everyday, how many days will the tank-full of petrol last?
Options- A. 5
- B. 6
- C. 7
- D. 8 Discuss
- 5. In 1998, ratio of the numbers of students taking examinations in x and z states are respectively 3 : 5 : 6. Next year, the numbers of students are increased by 20%, 10% and 20% respectively. If ratio of the numbers of students in states x and z is 1 : 2, then find the number of students who sit to take examination in 1998.?
Options- A. 5000
- B. 6000
- C. 75000
- D. Data is insuffcient Discuss
- 6. Given that ? 4096 = 64, the value of ? 4096 + ? 40.96 + ? .004096 is?
Options- A. 70.4
- B. 70.464
- C. 71.104
- D. 71.4 Discuss
- 7. ? .04
Options- A. .02
- B. .2
- C. .002
- D. None of these Discuss
- 8. ? 288 / ? 128
Options- A. ?3/2
- B. 3/?2
- C. 3/2
- D. ?3/2 Discuss
- 9. ? 10 x ? 15?
Options- A. 5?6
- B. 6?5
- C. 5
- D. ?30 Discuss
- 10. What value should come in place of the question mark(?) in the following question?
√ ? / 200 = 0.02?
Options- A. 0.4
- B. 4
- C. 16
- D. 1.6 Discuss
Square Root and Cube Root problems
Search Results
Correct Answer: 324
Explanation:
?y/169= 54/39
? y/169 = (54/39) x (54/39)
? y= (54/39) x (54/39) x 169 = 324
Correct Answer: 27
Explanation:
In 19683, 19 lies between 23 and 33, so left digit is 2 and 683 ends with 3, so right digit is 7.
thus 27 is a cube root of 19683.
Correct Answer: 320
Explanation:
Total number of students = 480
percentage of total students passed = 75% of total student
= (75 x 480)/100 = 360 students
Now, using the condition from the question.
Let the number of boys be N
Then, 70% of N + 85% of (480 - N) = 360
? [(70 x N)/100] + [85 x (480 - N)]/100 = 360
? 70N - 85N + 40800 = 36000
? 40800 - 36000 = 85N - 70N
? 4800 = 15N
? N = 4800/15 = 320
? There are 320 boys who appeared for the examination,
Correct Answer: 8
Explanation:
Let us assume that Arun uses N units of petrol everyday. so the amount of of petrol in the tank when it is full will be 10N. If he starts using 25% more petrol everyday. then the units of petrol he now use everyday will be
N(1 + 25/100) = 1.25N
So, the number of days his petrol will now last will be equal to (amount of petrol in tank) / (number of units used everyday)
= (10N) / (1.25N) = 10 / 1.25
= 8 days
Correct Answer: Data is insuffcient
Explanation:
In 1998
Let number of students in x = 3k
Number of students in y = 5k and
Number of students in z = 6k
Next year,
number of students in x = 3k + 20% of 3k = 18k/5
Number of students in y = 5k + 10% of 5k = 11k/2
Number of students in z = 6k + 20% of 6k = 36k/5
According to the question,
(18k/5) / (36k/5) = 1/2
Thus, data is insufficient.
Correct Answer: 70.464
Explanation:
?4096 + ?40.96 + ?.004096
= ?4096 + ?4096/100 + ?4096/1000000
=?4096 + ?4096/10 + ?4096/1000
= 64 + 64/10 + 64/1000
= 70.464
Correct Answer: .2
Explanation:
?.04 = ?4/100
= 2/10
= 0.2
Correct Answer: 3/2
Explanation:
?288 / ?128 = ?9/4
= 3/2
Correct Answer: 5?6
Explanation:
?10 x ?15
= ?10 x 15
= ?150
= ?25 x 6
= ?25 x ?6
= 5?6
Correct Answer: 16
Explanation:
Let √x / 200 = 0.02
Then, √x = 200 x 0.02 = 4.
So, x = 16
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