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- Question
- The sum of the squares of 2 natural consecutive odd numbers is 394. The sum of the numbers is :
Options- A. 24
- B. 32
- C. 40
- D. 28
- Correct Answer
- 28
ExplanationLet, the two natural consecutive odd numbers be n and (n + 2)
Now, according to the question,
? n2 + ( n + 2 )2 = 394
? n2 + n2 + 4 + 4n = 394
? 2n2 + 4n - 390= 0
? n2 + 2n - 195 = 0
? n2 + 15n - 13n - 195 = 0
? n( n + 15 ) - 13( n + 15 ) = 0
? ( n + 15 ) ( n - 13 ) = 0
? n = 13 and n ? - 15
? The two natural consecutive odd numbers be 13 and (13 + 2) = 15 .
? the sum of the numbers = 13 + 15 = 28
Quicker Approach:
By mental operation, 132 + 152 = 169 + 225 = 394
? Required sum = 13 + 15 = 28 - 1. The shares of a company of par value $ 10 each, are available at 20% premium. Find out the amount paid by the buyer who wants to buy 2500 shares. What would be the gain of the buyer if he sells those shares at the rate of $ 20 per share?
Options- A. $ 25000
- B. $ 30000
- C. $ 20000
- D. $ 22000 Discuss
- 2. When two dice are thrown, the probability that the difference of the number on the dice is 2 or 3 is?
Options- A. 7/18
- B. 3/11
- C. 5/18
- D. 1/2 Discuss
- 3. Shantanu can do a piece of work in 12 days and Manu can do the same work in 10 days. If they work together, in what ratio Shantanu and Manu will receive their wages?
Options- A. 5 : 6
- B. 3 : 2
- C. 1 : 6
- D. 5 : 7 Discuss
- 4. Cost of a packet of coffee powder and a litre of milk are ? 20 and ? 30 respectively. 10 cups of coffee is made with one packet coffee powder and for each cup 200 ml of milk is used. If coffee is sold at 25% profit, the selling price of each cup of coffee is
Options- A. ? 12.50
- B. ? 6.25
- C. ? 8
- D. ? 10 Discuss
- 5. A merchant has 1000 kg of sugar, part of which he sells at 8% profit and the rest at 18% profit. He gains 14% on the whole. The quantity sold at 18% profit is
Options- A. 500 kg
- B. 600 kg
- C. 400 kg
- D. 640 kg Discuss
- 6. 835, 734, 642, 751, 853, 981, 532?
Options- A. 751
- B. 853
- C. 981
- D. 532 Discuss
- 7. 8, 27, 64, 100, 125, 216, 343?
Options- A. 27
- B. 100
- C. 125
- D. 343 Discuss
- 8. 2, 5, 10, 50, 500, 5000?
Options- A. 0
- B. 5
- C. 10
- D. 5000 Discuss
- 9. 125, 123, 120, 115, 108, 100, 84?
Options- A. 125
- B. 115
- C. 100
- D. 84 Discuss
- 10. 8, 7, 11, 12, 14, 17, 17, 22, (...)?
Options- A. 27
- B. 20
- C. 22
- D. 24 Discuss
More questions
Correct Answer: $ 20000
Explanation:
Correct Answer: 7/18
Explanation:
The favourable cases are (1, 3), (2, 4) , (3, 5), (4, 6) and (1, 4), (2, 5), (3, 6) and their reversed cases like (3, 1), (4, 2), (5, 3)...
Total number of favourable cases = 2 x 7
? Required Probability P(E) = 14/36 = 7/18
Correct Answer: 5 : 6
Explanation:
Shantanu's 1 day's work = 1/2
Manu's 1 day's work =1/10
Shantanu's share : Manu's share =(1/12) : (1/10)
= (5/60) : (6/60)
= 5 : 6
Correct Answer: ? 10
Explanation:
Cost of coffee powder used in one cup = 20/10 = ? 2
Cost of milk used in one cup = (30/1000) x 200 = ? 6
? Cost of each cup coffee = 2 + 6 = ? 8
To gain 25% profit, sale price of each cup of coffee = 125% of 8 = ? 10
Correct Answer: 600 kg
Explanation:
Let the sugar sold at 8% gain = P
? Sugar sold at 18% gain = (1000 - P)
Let CP of sugar = ? Q per kg
Total CP = ? 1000 x Q
? [(108/100) x PQ)] + [(118/100) x (1000 - P) x Q]
= (114/100) x 1000 Q
? 108PQ + 118000Q - 118PQ = 114000Q
? 10P = 4000
? P = 400
? Quantity sold at 18% profit = 1000 - 400 = 600 kg
Correct Answer: 751
Explanation:
In each number except 751, the difference of third and first digit is the middle one .
Correct Answer: 100
Explanation:
The pattern is 23, 33, 43, 53, 63, 73.
But 100 is not a perfect cube
Correct Answer: 5000
Explanation:
Pattern is 1st x 2nd = 3rd; 2nd x 3rd = 4th, 3rd x 4th = 5th. But 4th x 5th = 50 x 500 = 25000 ? 5000 = 6th.
Correct Answer: 100
Explanation:
Prime numbers 2, 3, 5, 7, 11, 13 have successively been subtracted. So, 100 is wrong. It must be (108 - 11) i.e., 97.
Correct Answer: 20
Explanation:
There are two series (8, 11, 14, 17, 20) and (7, 12, 17, 22). Increasing by 3 and 5 respectively.
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