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Home ‣ Aptitude ‣ Pipes and Cistern See What Others Are Saying!
- Question
- A cistern can be filled by one of two pipes in 30 minutes and by the other in 36 minutes. Both pipes are opened together for a certain time but being particularly clogged only 5 / 6 of the full quantity of water flows through the former and only 9 / 10 through the later. The obstructions, however, being suddenly removed the cistern is filled in 15 1/ 2 minutes from that moment. How long was it before the full flow of water began?
Options- A. 1 minutes
- B. 2 minutes
- C. 21/2 minutes
- D. 11/2 minutes
- Correct Answer
- 1 minutes
ExplanationNet filling in last 151/2 minutes
= 31/2 (1/30 + 1/36) = 341/360
Now, suppose they remained clogged for x minutes.
Net filling in these x minutes
= (x/30 x 5/6 + x/36 x 9/10) = 19 x/360
Remaining part = (1 - 19x/360) = (360 - 19x/360)
360 - 19x/360 = 341/360 or x = 1.
Hence, the pipes remained clogged for 1 minutes. - 1. The banker's discount on a bill due 4 months hence at 15 % is Rs. 420. What is the true discount?
Options- A. Rs. 410
- B. Rs. 400
- C. Rs. 390
- D. Rs. 380 Discuss
- 2. In a two-digit number, the digit at the unit's place is 1 less than twice the digit at the ten's place. If the digits at unit's and ten's place are interchanged, the difference between the new and the original number is less than the original number by 20. The original number is
Options- A. 47
- B. 59
- C. 23
- D. 35 Discuss
- 3. The last digit of the number obtained by multiplying the numbers 41 x 42 x 43 x 44 x 45 x 46 x 47 x 48 x 49 will be?
Options- A. 0
- B. 1
- C. 4
- D. 5 Discuss
- 4. The average age of 24 students in a class is 10. If the teacher's age is included, the average increase by one . The age of the teacher is?
Options- A. 25 year
- B. 30 year
- C. 35 year
- D. 40 year Discuss
- 5. What is the place value of '6' in the number 4562304?
Options- A. Thousand
- B. Hundred
- C. Ten Thousand
- D. Lakh Discuss
- 6. When 1? 7 of the number is subtracted from the number itself, it gives the same value as the sum of all the angles of a triangle. What is the number?
Options- A. 224
- B. 210
- C. 140
- D. 350 Discuss
- 7. The product of two consecutive number odd number is 6723. What is the greater number?
Options- A. 89
- B. 85
- C. 91
- D. 83 Discuss
- 8. How many rational numbers are there between 1 and 1000?
Options- A. 998
- B. 999
- C. 1000
- D. infinite Discuss
- 9. The sum of 5 consecutive even numbers A, B, C, D and E is 130. What is the product of A and E?
Options- A. 720
- B. 616
- C. 660
- D. 672 Discuss
- 10. The local value of 7 in the numeral 5679032 is?
Options- A. 7
- B. 70000
- C. 10000
- D. 5070000 Discuss
More questions
Correct Answer: Rs. 400
Explanation:
Given in the question,
Banker's Discount = 420
Time in years = 4 months = 4/12 years = 1/3 years
Rate of interest = 15 %
As we know the formula,
True Discount = Banker's Discount × 100 (100 + Time in years x Rate of interest )
True Discount = 420 × 100 (100 + 4/12 × 15) ( 12 Months = 1 Year)
= 420 × 100 (100 + 5) = 400
Correct Answer: 47
Explanation:
Since two digit number = 10p + q
According to question , ? q = 2p ? 1.. (i)
When digits are interchanged then new number = 10q + p
then original number ? [new number ? original number] = 20
? 10p + q ? [10q + p ? (10p + q)] = 20
? 10p + q ? 10q ? p + 10p + q = 20
19p ? 8q = 20
19p ? 8 (2p ? 1) = 20 (Using eq. (i))
19p ? 16p + 8 = 20
3p = 12 ? p = 4
From (i) q = 2 × 4 ? 1 ? q = 7
? original number = 10p + q = 10 × 4 + 7 = 47
Correct Answer: 0
Explanation:
Last digit will be multiplication of 1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9.
It includes 5 & 2.
So, 5 x 2=10,
0 will be the last digit.
Correct Answer: 35 year
Explanation:
Age of the teacher = Sum of age of 24 students and teacher - Sum of age of 24 students.
= 25 x 11 - 24 x 10
= 35 years.
? Age of teacher = 35 years.
Correct Answer: Ten Thousand
Explanation:
Position value of 6 = 10000
Correct Answer: 210
Explanation:
Let number be the x.
According to the equation , x - x?7 = 180
? 6x?7 = 180
? x = 210
Correct Answer: 83
Explanation:
Let the two consecutive odd number be (x + 1) and (x + 3).
According to question (x + 1) (x + 3) = 6723
? x2 + 3x + x + 3 = 6723
? x2 + 4x + 3 = 6723
? x2 + 4x - 6720 = 0
? x2 + 84x - 80x - 6720 = 0
? ( x - 80 )( x + 84 )= 0
? x = 80, (x ? -84)
Hence, the greater number = 80 + 3 = 83
Correct Answer: infinite
Explanation:
There can be infinite number of rational numbers between 1 and 1000.
Correct Answer: 660
Explanation:
Let 5 consecutive even number be A = x, B = x+2, C = x+4, D = x + 6 and E = x + 8.
According to question
x + x +2 + x + 4 + x + 6 + x + 8 = 130
? 5x + 20 = 130
? x = 22
? A = 22, E = 22 + 8 = 30.
? Multiplication of A and E = 22 x 30
= 660
Correct Answer: 70000
Explanation:
The local value of 7 in 5679032 is 70000.
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