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- Question
A can do a certain work in the same time in which B and C together can do it. If A and B together could do it in 10 days and C alone in 50 days, then B alone could do it in:
Options- A. 15 days
- B. 20 days
- C. 25 days
- D. 30 days
- Correct Answer
- 25 days
Explanation(A + B)'s 1 day's work = 1 10 C's 1 day's work = 1 50 (A + B + C)'s 1 day's work = ❨ 1 + 1 ❩ = 6 = 3 . .... (i) 10 50 50 25 A's 1 day's work = (B + C)'s 1 day's work .... (ii)
From (i) and (ii), we get: 2 x (A's 1 day's work) = 3 25 ⟹ A's 1 day's work = 3 . 50 ∴ B's 1 day's work ❨ 1 - 3 ❩ = 2 = 1 . 10 50 50 25 So, B alone could do the work in 25 days.
More questions
- 1. The difference between simple interest and compound on Rs. 1200 for one year at 10% per annum reckoned half-yearly is
Options- A. Rs.2
- B. Rs.3
- C. Rs.4
- D. Rs.5 Discuss
Correct Answer: Rs.3
Explanation:
S.I. = Rs.(1200*10*1)/100=rs.120
C.I. =rs[1200*(1+5/100)2-1200]=rs.123
Difference = Rs.(123-120) =Rs.3
- 2. What is the compound interest (in Rs) for 1 year on a sum of Rs 20000 at the rate of 40% per annum compounding half yearly?
Options- A. 8000
- B. 8650
- C. 8750
- D. 8800 Discuss
Correct Answer: 8800
- 3. If 1st January 2013 was Wednesday, then what day of the week was it on 2nd January 2014?
Options- A. Wednesday
- B. Thursday
- C. Tuesday
- D. Friday Discuss
Correct Answer: Friday
- 4. The compound interest on Rs. 4000 for 4 years at 10% per annum will be
Options- A. Rs. 1856.40
- B. Rs. 1600
- C. Rs. 1856
- D. Rs. 1756.60 Discuss
Correct Answer: Rs. 1856.40
- 5. If O is the orthocentre of a triangle ABC and ?BOC = 100°, the measure of ?BAC is
Options- A. 100°
- B. 180°
- C. 80°
- D. 200° Discuss
Correct Answer: 80°
- 6. Simple interest on a certain sum of money for 3 years at 8% per annum is half the compound interest on Rs. 16000 for 2 years at 10% per annum. The sum placed on simple interest is:
Options- A. Rs 14000
- B. Rs 3500
- C. Rs 7000
- D. Rs 5600 Discuss
Correct Answer: Rs 7000
- 7. The ratio of milk and water in three samples is 1 : 3, 3 : 5 and 11 : 5. A mixture containing equal quantities of all three samples is made. What will be the ratio of milk and water in the new mixture?
Options- A. 7 : 9
- B. 5 : 7
- C. 15 : 13
- D. 9 : 11 Discuss
Correct Answer: 7 : 9
- 8. ABCD is a quadrilateral inscribed in a circle (radius = ). The bisectors of the angles DAB and BCD intersect the circle at X and Y, respectively. What is the length of the straight line XY?
Options- A. ? (rxr)
- B. 2r
- C. (r + 2)
- D. ? (rxr)/2 Discuss
Correct Answer: 2r
- 9. The average weight of 10 parcels is 1.7 kg. Addition of another new parcel reduces the average weight by 60 gram. What is the weight , in kg, of the new parcel?
Options- A. 1.04
- B. 1.08
- C. 1.4
- D. 1.8 Discuss
Correct Answer: 1.04
- 10. The bankers discount and true discount on a sum of money due 8 months hence are Rs.120 & Rs.110 resp. Find the sum.
Options- A. 1457
- B. 1320
- C. 1140
- D. 1260 Discuss
Correct Answer: 1320
Explanation:
Sum = (B.D * T.D) / (B.D) -(T.D)
= (120 * 110) / (120 -110)
= 1320
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