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- Question
Two pipes A and B can separately fill a cistern in 60 min and 75 min respectively. There is a third pipe in the bottom of the cistern to empty it. If all the three pipes are simultaneously opened, then the cistern is full in 50 min. In how much time, the third pipe alone can empty the cistern ?
Options- A. 85 min
- B. 95 min
- C. 105 min
- D. 100 min
- Correct Answer
- 100 min
ExplanationWork done by the third pipe in 1 min = 1/50 - (1/60 + 1/75) = - 1/100.
[-ve sign means emptying]The third pipe alone can empty the cistern in 100 min.
- 1. The average of 9 results is 50. The average of the first four results is 52 and the average of the last four results is 49. what is the fifth result?
Options- A. 48
- B. 46
- C. 52
- D. 44 Discuss
- 2. If 20 men can build a wall 56 meters long in 6 days , what length of a similar wall can be built by 35 men in 3 days?
Options- A. 46
- B. 47
- C. 48
- D. 49 Discuss
- 3. The difference between the compound interest and the simple interest on a certain sum at 12% p.a. for two years is Rs.90. What will be the value of the amount at the end of 3 years?
Options- A. 8560
- B. 8673
- C. 8746
- D. 8780.80 Discuss
- 4. The average age of 6 members of a family is 20 years. If the age of the servant is included, then the average age increase by 25%. What is the age (in years) of the servant?
Options- A. 30
- B. 35
- C. 50
- D. 55 Discuss
- 5. If the area of a square with side a s equal to the area of a triangle with base a, then the altitude of the triangle is
Options- A. a
- B. 2a
- C. 5a
- D. 3a Discuss
- 6. How many prime numbers exist in 65×359×113 ?
Options- A. 29
- B. 31
- C. 33
- D. 27 Discuss
- 7. The LCM of 72 and 84 is:
Options- A. 12 × 6 × 7
- B. 6 × 2 × 7
- C. 12 × 7 × 3
- D. 72 × 84 Discuss
- 8. Find the perimeter and area of a square that has a side of length 14 feet.
Options- A. 176
- B. 186
- C. 196
- D. 206 Discuss
- 9. Area of a square and a rectangle are equal. If side of the square is 40 cm and length of the rectangle is 64 cm, what is the perimeter of the rectangle ?
Options- A. 187 cm
- B. 178 cm
- C. 149 cm
- D. 194 cm Discuss
- 10. The G.C.D of 1.08, 0.36 and 0.9 is
Options- A. 0.03
- B. 0.9
- C. 0.18
- D. 0.108 Discuss
More questions
Correct Answer: 46
Explanation:
Total of first four results = 52 x 4 = 208
Total of Last four results = 49 x 4 = 196
Hence the fifth result = 450 - (208 + 196) = 46
Correct Answer: 49
Explanation:
Let the required length be x meters
More men, More length built (Direct proportion)
Less days, Less length built (Direct Proportion)
=> (20 x 6 x X)=(35 x 3 x 56)
=> x = 49
Hence, the required length is 49 m.
Correct Answer: 8780.80
Explanation:
when interest is reckoned using compound interest, interest being compounded annually. The difference in the simple interest and compound interest for two years is on account of the interest paid on the first year's interest Hence 12% of simple interest = 90 => simple interest =90/0.12 =750.
As the simple interest for a year = 750 @ 12% p.a., the principal =750/0.12 = Rs.6250.
If the principal is 6250, then the amount outstanding at the end of 3 years = 6250 + 3(simple interest on 6250) + 3 (interest on simple interest) + 1 (interest on interest on interest) = 6250 +3(750) + 3(90) + 1(10.80) = 8780.80.
Correct Answer: 55
Correct Answer: 2a
Explanation:
Area of a square with side a = a² sq unts
Area of a triangle with base a = (1/2) * a * h sq.unts
a² =1/2 *a *h
=> h = 2a
altitude of the triangle is 2a
Correct Answer: 31
Explanation:
Given
Thus, there are (5 + 5 + 9 + 9 + 3)= 31 prime numbers.
Correct Answer: 12 × 6 × 7
Correct Answer: 196
Explanation:
Perimeter of a square p=4s ,where s=length of its side
=> p=4(14)=56 feets
Area of a square A = s x s
=> A=196
The perimeter is 56 feet, and the area is 196 square feet.
Correct Answer: 178 cm
Explanation:
Area of square = 40 x 40
= 1600 sq.cm
Given that the areas of Square and Rectangle are equal
=> Area of rectangle = 1600 Sq.cm
We know that, Area of rectangle = L x B
Given L = 64 cm
Breadth of rectangle = 1600/64 = 25 cm
Perimeter of the rectangle = 2(L + B) = 2(64+25) = 178 cm.
Correct Answer: 0.18
Explanation:
Given numbers are 1.08 , 0.36 and 0.90
H.C.F of 108, 36 and 90 is 18 [ G.C.D is nothing but H.C.F]
Therefore, H.C.F of given numbers = 0.18
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