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- Question
- In a two-digit number, the digit at the unit's place is 1 less than twice the digit at the ten's place. If the digits at unit's and ten's place are interchanged, the difference between the new and the original number is less than the original number by 20. The original number is
Options- A. 47
- B. 59
- C. 23
- D. 35
- Correct Answer
- 47
Explanationlet us assume the ten's digit number be x and unit's place digit be y.
Then two digit Original Number = 10x + y
According to question ? y = 2x - 1 ................(1)
When digits are interchanged then new number = 10y + x
If the digits at unit's and ten's place are interchanged, the difference between the new and the original number is less than the original number by 20,
New Number - Original Number = Original number - 20
? 10y + x - (10x + y) = 10x + y - 20
? 10y + x - 10x - y - 10x - y = - 20
? 8y - 19x = - 20
? 19x - 8y = 20 ...................(2)
Put the value of y from equation (1) in above equation (2).
? 19x - 8(2x - 1) = 20
? 19x - 16x - 8 = 20
? 7x = 20 + 8
? 7x = 28
? x = 28/7
? x = 4
Put the value of y in equation (1)
From (i) y = 2 x 4 -1 = y = 7
? original number = 10x + y =10 x 4 + 7 = 47. - 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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