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- Question
- If there are 10 positive real numbers n 1 < n 2, n 3 .... < n 10 How many triplets of these numbers (n 1, n 2, n 3) (n 2, n 3, n 4), ... can be generated such that in each triplet the first number is always less than the second number and the second number is always less the third number?
Options- A. 45
- B. 90
- C. 120
- D. 180
- Correct Answer
- 120
ExplanationThree numbers can be selected and arranged out of 10 numbers in 10P3 ways 10!/7! = 10 x 9 x 8
Now, this arrangement is restricted to a given condition that first number is always less than the second number and second number is always than the third number. Thus, three numbers can be arranged among themselves in 3! ways.
Hence, required number of arrangement = (10 x 9 x 8)/(3 x 2)
= 120 ways - 1. In a race of 600 m, A can beat B by 60 m and in a race of 500 m, B can beat C by 50 m. By how many meter will A beat C in a race of 400 m?
Options- A. 78 m
- B. 56 m
- C. 76 m
- D. 86 m Discuss
- 2. 0.15 / (0.5 / 15) =?
Options- A. 4.5
- B. 45
- C. 0.03
- D. 0.45 Discuss
- 3. For any integers a and b with HCF (a, b) = 1, what is HCF (a + b, a - b) equal to?
Options- A. It is always 1
- B. It is always 2
- C. Either 1 or 2
- D. None of the above Discuss
- 4. 5358 x 51 =?
Options- A. 273258
- B. 273268
- C. 273348
- D. 273358 Discuss
- 5. Which of the following numbers is divisible by each one of 3, 7, 9 and 11?
Options- A. 639
- B. 2079
- C. 3791
- D. 37911
- E. None of these Discuss
- 6. If the total sales for a business in a certain year were ? 132000. What were the sales in june, if june sales were half the monthly average?
Options- A. ? 8400
- B. ? 7200
- C. ? 5500
- D. ? 6300 Discuss
- 7. If 0.8 x A = 0.09 x B, then find A : B.
Options- A. 9 : 80
- B. 3 : 80
- C. 80 : 9
- D. 7 : 80 Discuss
- 8. A 4% stock yield 5%. The market value of the stock is?
Options- A. Rs. 125
- B. Rs. 80
- C. Rs. 99
- D. Rs. 109 Discuss
- 9. The product of 3.5413 x 2.1 is
Options- A. 7.44673
- B. 7.43673
- C. 7.53673
- D. None of these Discuss
- 10. Maganlal, a worker, makes an article in every 2/3h. If he works for 7 1/ 2h, then how many articles will he make?
Options- A. 111/4
- B. 111/3
- C. 112/6
- D. 112/5 Discuss
More questions
Correct Answer: 76 m
Explanation:
If A runs 600 m, B runs 600 - 60 or, 540 m.
If A runs 400 m, B runs = 540 x 400 / 600 = 360 m.
Now, when B runs 500 m, C runs 500 - 50 = 450 m.
? When B runs 360 m, C runs = 450 * 360 / 500 = 324 m
? A beats C by 400 - 324 = 76 m.
Correct Answer: 4.5
Explanation:
Let Y = 0.15 / (0.5 / 15)
= (15/100) / [(5/100) / 15)
= 4.5
Correct Answer: Either 1 or 2
Explanation:
Putting arbitrary values of a and b.
IIIustration 1:
Let a = 9 and b = 8
HCF (8 + 9, 9 - 8)
HCF (17, 1) = 1
IIIustration 2:
Let a = 23 and b =17
HCF (17 + 23, 23 -17)
HCF ( 40, 6) = 2
Hence, HCF (a + b, a - b) can either be 1 or 2.
Correct Answer: 273258
Explanation:
| 5358 x 51 | = 5358 x (50 + 1) |
| = 5358 x 50 + 5358 x 1 | |
| = 267900 + 5358 | |
| = 273258. |
Correct Answer: 2079
Explanation:
639 is not divisible by 7
2079 is divisible by each of 3, 7, 9, 11.
Correct Answer: ? 5500
Explanation:
Monthly sale = yearly sale / 2
= 132000 / 2
= ? 11000
June's sale = monthly sale / 2
= 11000 / 2
= ? 1000
Correct Answer: 9 : 80
Explanation:
Given that 0.8 x A = 0.09 x B
? A/B = 0.09/0.8 = 9/80
? A : B = 9 :80
Correct Answer: Rs. 80
Explanation:
For an income of Rs. 5, investment = Rs. 100
For an income of Rs. 4, investment = Rs. (100/5) x 4 = Rs. 80
Correct Answer: 7.43673
Explanation:
For the product of 3.5413 x 2.1
Consider 35413 x 21 = 743673
Total decimal places = 4 + 1
? 3.5413 x 2.1=7.43673
Correct Answer: 111/4
Explanation:
? In 2/3h, 1 article is made.
? In 1h, 3/2 article are made.
? In 71/2 = 15/2h, 3/2 x 15/2 = 45/4 article are made.
? Required articles = 45/4 = 112/4
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