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- Question
There are four consecutive even integers. Sum of the reciprocals of the first two number is (11/60). Find the reciprocal of third largest number of the series.
Options- A. 1/12
- B. 2/14
- C. 1/14
- D. 2/13
- Correct Answer
- 1/14
ExplanationAns. C.
Let 4 consecutive even numbers are x, x+ 2, x+ 4, x+ 6
According to the question -
1/x + 1/x+2 = 11/60
x+2+x/ x(x+2) = 11/60
2(x+1)/x^2 + 2x = 11/60
120x + 120 = 11x 2 + 22x
11x 2 - 98x ? 120 = 0
So ,
X = -24/22 , 10
X = -12/11 , 10
So, the numbers will be 10,12,14,16.
Hence,
Third largest number = 14
Reciprocal of third number = 1/14 - 1. What is the average of four tenths and five thousandths
Options- A. 25002
- B. 2502
- C. 0.2025
- D. none Discuss
- 2. An oil refinery buys oil at Rs 3600 per barrel. There is 10% wastage. If the refinery wants to earn 5% profit then at what price should it sell including 8% tax on selling price? (in Rs per barrel)
Options- A. 3674
- B. 3711
- C. 4219
- D. 4536 Discuss
- 3. Two consecutive discounts x% and y% is equivalent to the discount
Options- A. (x-y+xy100)%
- B. (x+y+xy100)%
- C. (x-y-xy100)%
- D. (x+y-xy100)% Discuss
- 4. 26 january 1950 which day of the week?
Options- A. Monday
- B. Wednesday
- C. Thursday
- D. Tuesday Discuss
- 5. What is the difference (in Rs) in Compound interest earned in 1 year on a sum of Rs 25,000 at 20% per annum compounded semi-annually and annually?
Options- A. 125
- B. 250
- C. 500
- D. 375 Discuss
- 6. Two students appeared for an examination. One of them secured 26 marks more than the other and his marks were 75% of the sum of their marks. The marks obtained by them are
Options- A. 53 and 27
- B. 60 and 34
- C. 39 and 13
- D. 78 and 52 Discuss
- 7. The banker's discount of a certain sum of money is Rs. 72 and the true discount on the same sum for the same time is Rs. 60. The sum due is:
Options- A. 290
- B. 480
- C. 360
- D. 420 Discuss
- 8. If Feb 12th,1986 falls on Wednesday then Jan 1st,1987 falls on which day?
Options- A. Wednesday
- B. Tuesday
- C. Thursday
- D. Friday Discuss
- 9. In how many years will Rs 2,000 yield Rs 662 as compound interest at 10% per annum compounded annually?
Options- A. 3
- B. 2
- C. 4
- D. 5 Discuss
- 10. If the radius of a circle is decreased by 50%, find the percentage decrease in its area.
Options- A. 55%
- B. 65%
- C. 75%
- D. 85% Discuss
More questions
Correct Answer: 0.2025
Explanation:
Four tenths = 0.4
Five thousandths = 0.005
The average is (0.4 + 0.005)/2 = 0.2025
Correct Answer: 4536
Correct Answer: (x+y-xy100)%
Correct Answer: Thursday
Explanation:
We know that,
Odd days --> days more than complete weeks
Number of odd days in 400/800/1200/1600/2000 years are 0.
Hence, the number of odd days in first 1600 years are 0.
Number of odd days in 300 years = 1
Number of odd days in 49 years = (12 x 2 + 37 x 1) = 61 days = 5 odd days
Total number of odd days in 1949 years = 1 + 5 = 6 odd days
Now look at the year 1950
Jan 26 = 26 days = 3 weeks + 5 days = 5 odd days
Total number of odd days = 6 + 5 = 11 => 4 odd days
Odd days :-
0 = sunday ;
1 = monday ;
2 = tuesday ;
3 = wednesday ;
4 = thursday ;
5 = friday ;
6 = saturday
Therefore, Jan 26th 1950 was Thursday.
Correct Answer: 250
Correct Answer: 39 and 13
Correct Answer: 360
Explanation:
Sum =(B.D. x T.D.)/(B.D. - T.D.)
= Rs. (72 x 60) / (72 - 60)
= Rs. (72 x 60) /12
= Rs. 360.
Correct Answer: Thursday
Explanation:
First,we count the number of odd days for the left over days in the given period.
Here,given period is 12.2.1986 to 1.1.1987
Feb Mar Apr May June July Aug Sept Oct Nov Dec Jan
16 31 30 31 30 31 31 30 31 30 31 1 (left days)
2 + 3 + 2 + 3 + 2 + 3 + 3 + 2 + 3 + 2 + 3 + 1(odd days) = 1 odd day
So,given day Wednesday + 1 = Thursday is the required result.
Correct Answer: 3
Correct Answer: 75%
Explanation:
Let original radius = R.
New radius = =
Original area = and new area =
Decrease in area = = 75%
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