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- Question
- If three caps are picked at random, what is the probability that two are red and one is green?
Options- A. 9/22
- B. 6/19
- C. 1/6
- D. 3/22
- Correct Answer
- 3/22
ExplanationTotal number of caps = 12
? n(S) = 12C3 = 220
n(E1) = Out of 4 red caps, number of ways to pick 2 caps = 4C2 = 6
n(E2) = Out of 5 green caps
Number of ways to pick one cap = 5C1 = 5
P(E) = n(E1) x n(E2)/n(S) = (6 x 5)/220 = 3/22 - 1. 3.87 - 2.59 =?
Options- A. 1.20
- B. 1.2
- C. 1.27
- D. 1.28 Discuss
- 2. If 3 is added to the denominator of a fraction, it becomes 1/3 and if 4 be added to its numerator, It becomes 3/4, then fraction is?
Options- A. 4/9
- B. 3/20
- C. 7/24
- D. 5/12 Discuss
- 3. If the numerator of a fraction is increased by 2 and the denominator is increased by 1, the fraction because 5/8 and if the numerator of the same fraction is increased by 3 and the denominator is increased by 1, the fraction becomes 3/4 . What is the original fraction?
Options- A. Data inadequate
- B. 2/7
- C. 4/7
- D. 3/7 Discuss
- 4. Which of the following are in descending order of their value?
Options- A.
1 , 2 , 3 , 4 , 5 , 6 3 5 7 5 6 7 - B.
1 , 2 , 3 , 4 , 5 , 6 3 5 5 7 6 7 - C.
1 , 2 , 3 , 4 , 5 , 6 3 5 5 6 7 7 - D.
6 , 5 , 4 , 3 , 2 , 1 7 6 5 7 5 3
Discuss
- Option A - 1/3, 2/5, 3/7, 4/5, 5/6, 6/7:
- Converting the fractions to decimal form:
- 1/3 = 0.3333
- 2/5 = 0.4
- 3/7 ? 0.4286
- 4/5 = 0.8
- 5/6 ? 0.8333
- 6/7 ? 0.8571
- The order of fractions in descending order is: 6/7, 5/6, 4/5, 3/7, 2/5, 1/3.
- This matches Option D.
- Option B - 1/3, 2/5, 3/5, 4/7, 5/6, 6/7:
- Converting to decimal values as shown previously:
- 1/3 = 0.3333
- 2/5 = 0.4
- 3/5 = 0.6
- 4/7 ? 0.5714
- 5/6 ? 0.8333
- 6/7 ? 0.8571
- The order of fractions in descending order is: 6/7, 5/6, 3/5, 4/7, 2/5, 1/3.
- This order does not match Option B.
- Option C - 1/3, 2/5, 3/5, 4/6, 5/7, 6/7:
- Converting to decimal values:
- 1/3 = 0.3333
- 2/5 = 0.4
- 3/5 = 0.6
- 4/6 ? 0.6667
- 5/7 ? 0.7143
- 6/7 ? 0.8571
- The order of fractions in descending order is: 6/7, 5/7, 4/6, 3/5, 2/5, 1/3.
- This order does not match Option C.
- Option D - 6/7, 5/6, 4/5, 3/7, 2/5, 1/3:
- Converting to decimal values as shown previously:
- 6/7 ? 0.8571
- 5/6 ? 0.8333
- 4/5 = 0.8
- 3/7 ? 0.4286
- 2/5 = 0.4
- 1/3 = 0.3333
- The order of fractions in descending order is: 6/7, 5/6, 4/5, 3/7, 2/5, 1/3.
- This matches Option D perfectly.
- Final Answer:
- The correct answer is D. 6/7, 5/6, 4/5, 3/7, 2/5, 1/3.
- 5. The price of commodity X increases by 40 paise every year, while the price of commodity Y increases by 15 paise every year. If in 2001, the price of commodity X was Rs. 4.20 and that of Y was Rs. 6.30, in which year commodity X will cost 40 paise more than the commodity Y?
Options- A. 2010
- B. 2011
- C. 2012
- D. 2013 Discuss
- 6. If a fraction's numerator is increased by 1 and the denominator is increased by 1 and denominator is increased by 2 then the fraction becomes 2/3. But when the numerator is increased by 5 and the denominator is increased by 1, then the fraction becomes 5/4. What is the value of the original fraction?
Options- A. 3/7
- B. 5/8
- C. 5/7
- D. 6/7 Discuss
- 7. 617 + 6.017 + 0.617 + 6.0017 =?
Options- A. 6.2963
- B. 62.965
- C. 629.6357
- D. None of these Discuss
- 8. The value of (9 2 x 18 4) / 3 16 is?
Options- A. 2/3
- B. 4/9
- C. 16/81
- D. 32/243 Discuss
- 9. If 2994 ÷ 14.5 = 172, then 29.94 ÷ 1.45 =?
Options- A. 0.172
- B. 1.72
- C. 17.2
- D. 172 Discuss
- 10. A man spends (1/7)th of his salary on food, half of the remaining on clothing and (1/3)rd of the remaining on entertainment. He is still left with Rs. 600. How much does he spend on entertainment?
Options- A. Rs. 600
- B. Rs. 450
- C. Rs. 300
- D. Rs. 700 Discuss
More questions
Correct Answer: 1.28
Explanation:
| = | ❨ | 3 + | 87 | ❩ | - | ❨ | 2 + | 59 | ❩ |
| 99 | 99 |
| = 1 + | ❨ | 87 | - | 59 | ❩ |
| 99 | 99 |
| = 1 + | 28 |
| 99 |
= 1.28.
Correct Answer: 5/12
Explanation:
Let the required fraction be p/q
? p / (q + 3) = 1/3
? 3p - q = 3 ...(i)
and, (p + 4) / q = 3/4
? 4p - 3q = -16 ...(ii)
Solving these equations, we get p = 5, q = 12
? Required fraction = 5/12
Correct Answer: 3/7
Explanation:
Let the original fraction be p/q
Then, (p + 2) / (q + 1) = 5/8
? 8p - 5q = 11 .....(i)
Again (p + 3) / (q + 1) = 3/4
? 4p - 3q = 9 ...(ii)
Solving equations , (i) and (ii), we get ,
p = 3 and q = 7
? Fraction = 3/7
Correct Answer:
| 6 | , | 5 | , | 4 | , | 3 | , | 2 | , | 1 |
| 7 | 6 | 5 | 7 | 5 | 3 |
Explanation:
We are asked to arrange the given fractions in descending order based on their value. To compare the fractions, we will convert them to a common denominator or use approximate decimal values. Here's the analysis of each option:
Correct Answer: 2011
Explanation:
Then, (4.20 + 0.40z) - (6.30 + 0.15z) = 0.40
⟹ 0.25z = 0.40 + 2.10
| ⟹ z = | 2.50 | = | 250 | = 10. |
| 0.25 | 25 |
∴ X will cost 40 paise more than Y 10 years after 2001 i.e., 2011.
Correct Answer: 5/7
Explanation:
Let the numerator and denominator be p and q respectively.
Then, (p + 2) / (q + 3) = 7/9
? 9(p + 2) = 7(q +3)
? 9p - 7q = 3 ....(i)
Again, (p - 1) / (q - 1) = 4/5
? 5p - 4q = 1 ....(ii)
Solving (i) and (ii) we get,
p = 5, q = 6
Required fraction = 5/6
Correct Answer: 629.6357
Explanation:
617.00
6.017
0.617
+ 6.0017
--------
629.6357
---------
Correct Answer: 16/81
Explanation:
Given expression = [(32)2 x (3 x 3 x 2)4] / 316
= (34 x 38 x 24) / 316
= 24 / 34 = 16 / 81
Correct Answer: 17.2
Explanation:
| 29.94 | = | 299.4 |
| 1.45 | 14.5 |
| = | ❨ | 2994 | x | 1 | ❩ | [ Here, Substitute 172 in the place of 2994/14.5 ] |
| 14.5 | 10 |
| = | 172 |
| 10 |
= 17.2
Correct Answer: Rs. 300
Explanation:
Let man's salary be Rs. N
Money spend on food =N/7
Money spends on clothing = (N - N/7) x 1/2 = (6N/7) x (1/2) =3N/7
Money spend on entertainment = (N - N/7 - 3N/7)/3 = (7N - 4N)/7 = N/7
Now, money left =600
? N - N/7 - 3N/7 - N/7 = 600
? 7N - 5N/7 = 600
? N = 600 x 7/2 = Rs. 2100
? Money spend on entertainment = 1/7 x 2100 = Rs. 300
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