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- Question
A flagstaff 17.5 m high casts a shadow of length 40.25 m. The height of the building, which casts a shadow of length 28.75 m under similar conditions will be:
Options- A. 10 m
- B. 12.5 m
- C. 17.5 m
- D. 21.25 m
- Correct Answer
- 12.5 m
Explanation
Let the height of the building x metres.Less lengthy shadow, Less in the height (Direct Proportion)
∴ 40.25 : 28.75 :: 17.5 : x ⟺ 40.25 x x = 28.75 x 17.5
x = 28.75 x 17.5 40.25 ⟹ x = 12.5
- 1. In the following question, select the odd number from the given alternatives.
Options- A. 31
- B. 37
- C. 43
- D. 49 Discuss
- 2. A number is decreased by 10% and then increased by 10%. The number so obtained is 10 less than the original number. What was the oiginal number ?
Options- A. 1000
- B. 2000
- C. 3000
- D. 4000 Discuss
- 3. A fan is listed at Rs. 150 with a discount of 20% . What additional discount must be offered to the customer to bring the net price to Rs. 108 ?
Options- A. 11 1/9%
- B. 15%
- C. 8%
- D. None of these Discuss
- 4. The first 8 alphabets are written down at random. what is the probability that the letters b,c,d,e always come together ?
Options- A. 1/7
- B. 8!
- C. 7!
- D. 1/14 Discuss
- 5. The profit earned by selling an article for Rs.753 is equal to the loss incurred when the same article is sold for Rs.455.What should be the sale price for making 50% profit ?
Options- A. Rs.855
- B. Rs.955
- C. Rs.906
- D. Rs.896 Discuss
- 6. Find the odd word/letters/number from the given alternatives.
Options- A. Teacher
- B. Lawyer
- C. Doctor
- D. Manager Discuss
- 7. In a History examination, the average for the entire class was 80 marks. If 10% of the students scored 35 marks and 20% scored 90 marks, what was the average marks of the remaining students of the class ?
Options- A. 25
- B. 50
- C. 75
- D. 100 Discuss
- 8. There are 1650 students in a college. The difference between the number of boys and girls in the college is 400. What is the percentage of girls in the college ?
Options- A. 49
- B. 34
- C. 43
- D. 38 Discuss
- 9. In a box, there are 9 blue, 6 white and some black stones. A stone is randomly selected and the probability that the stone is black is ¼. Find the total number of stones in the box?
Options- A. 15
- B. 18
- C. 20
- D. 24 Discuss
- 10. Find the odd word/letters/number from the given alternatives.
Options- A. DEB
- B. RTP
- C. HIF
- D. NOL Discuss
More questions
Correct Answer: 49
Correct Answer: 1000
Explanation:
Let the original number be x.
Final number obtained = 110% of (90% of x) =(110/100 * 90/100 * x) = (99/100)x.
x-(99/100)x=10
=> x =1000
Correct Answer: 11 1/9%
Correct Answer: 1/14
Explanation:
The 8 letters can be written in 8! ways.
n(S) = 8!
Let E be the event that the letters b,c,d,e always come together when the first 8 alphabets are written down.
Now the letters a, (bcde), f, g and h can be arranged in 5! ways.
The letters b,c,d and e can be arranged themselves in 4! ways.
n(E) = 5! x 4!
Now, the required P(E) = n(E)/n(S) = 5! x 4!/8! = 1/14
Hence the answer is 1/14.
Correct Answer: Rs.906
Explanation:
Let C.P =Rs. x
Then as given, (753 - x ) = (x - 455)
=>2x = 1208 => x = 604
There fore S.P= 150% of 604 => Rs. = Rs.906
Correct Answer: Manager
Correct Answer: 75
Explanation:
Let the number of students in the class be 100 and let this required average be x.
Then, (10 * 95) + (20 * 90) + (70 * x) = (100 * 80)
=> 70x = 8000 - (950 + 1800) = 5250
=> x = 75.
Correct Answer: 38
Explanation:
Let no. of boys be 'B' and no. of girls be 'G'
Here from given data,
B + G = 1650 .....(1)
B - G = 400 .....(2)
From (1) & (2), we get
2B = 2050
=> B = 1025
=> G = 1650 - 1025 = 625
Hence, the % of girls = 625 x 100/1650
=> 38% (approx).
Correct Answer: 20
Explanation:
We know that, Total probability = 1
Given probability of black stones = 1/4
=> Probability of blue and white stones = 1 - 1/4 = 3/4
But, given blue + white stones = 9 + 6 = 15
Hence,
3/4 ----- 15
1 ----- ?
=> 15 x 4/3 = 20.
Hence, total number of stones in the box = 20.
Correct Answer: RTP
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