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- Question
- The Fourth term of an Arithmetic Progression is 37 and the Sixth term is 12 more than the Fourth term. What is the sum of the Second and Eight terms?
Options- A. 54
- B. 64
- C. 74
- D. 84
- Correct Answer
- 74
ExplanationLet us assume the first number is a and common difference is d.
According to question,
4th term of A.P = 37
a + ( n - 1 ) x d = 37
Put the value of a , n and d, we will get,
a + (4 - 1 ) x d = 37
a + 3d = 37..................(1)
sixth term is 12 more than the fourth term,
6th term = 12 + 4th term
a + ( n - 1 ) x d = 12 + 37
a + ( 6- 1 ) x d = 39
a + 5d = 39................(2)
subtract the equation (1) from (2)
a + 5d - a - 3d = 39 - 37
5d - 3d= 2
2d = 2
d = 1
Put the value of d in equation (1), we will get
a + 3 x 1 = 37
a = 37 - 3
a = 34
Second term = a + (n - 1) x d = 34 + (2 - 1) x 1 = 34 + 1 = 35
Six term = a + (n - 1) x d = 34 + (6 - 1) x 1 = 34 + 5 = 39
Sum of Second and Six term = 35 + 39 = 74
Sum of Second and Six term = 74
Answer is 74. - 1. The simplified form of log(75/16) -2 log(5/9) +log(32/343) is?
Options- A. log 2
- B. 2 log 2
- C. log 3
- D. log 5 Discuss
- 2. If log 2 = 0.3010 then log 5 equals to?
Options- A. 0.3010
- B. 0.6990
- C. 0.7525
- D. Given log 2, it is not possible to calculate log 5 Discuss
- 3. If log 102 =0.3010 and log 107 = 0.8451, then the value of log 10 2.8 is?
Options- A. 0.4471
- B. 1.4471
- C. 2.4471
- D. 14.471 Discuss
- 4. A merchant has announced 25% rebate on prices of ready made garments at the time of sale. If a purchaser needs to have a rebate of ? 400, then how many shirts, each costing ? 320, should he purchase?
Options- A. 10
- B. 7
- C. 6
- D. 5 Discuss
- 5. In the year 2011, Shantanu gets a total of 3832.5 Rupee as his pocket allowence. Find his pocket allowence per day.
Options- A. 9.5 Rupees
- B. 10.5 Rupees
- C. 12.5 Rupees
- D. 11.5 Rupees Discuss
- 6. 26.003 - 154 .001 ÷ 6.995 =?
Options- A. 4
- B. 18
- C. 9
- D. 10 Discuss
- 7. Given that log 10 2 = 0.3010, then log 2 10 is equal to?
Options- A. 0.3010
- B. 0.6990
- C. 1000 / 301
- D. 699 / 301 Discuss
- 8. The sum of 4 consecutive even number is 284. What would be the smallest number?
Options- A. 72
- B. 74
- C. 68
- D. 66 Discuss
- 9. A man travels 35 km partly at 4 km/hr and at 5 km/hr. If he covers former distance at 5 km/hr and later distance at 4 km/hr, he could cover 2 km more in the same time. The time taken to cover the whole distance at original rate is
Options- A. 9 hours
- B. 7 hours
- C. 4.5 hours
- D. 8 hours Discuss
- 10. The banker's gain on a sum due 3 years hence at 12% per annum is Rs. 270. The banker's discount is:
Options- A. Rs. 960
- B. Rs. 840
- C. Rs. 1020
- D. Rs. 760 Discuss
More questions
Correct Answer: log 2
Explanation:
Given Exp. = log75/16 - 2 log5/9 + log32/343
= log [(25 x 3) / (4 x 4)] - log (25/81) + log [(16 x 2) / (81 x 3)]
= log(25 x 3) - log ( 4 x 4 ) - log(25) + log81 + log(16 x 2) -log (81 x 3)
= log 25 + log 3 - log 16 - log 25 + log 81 + log 16 + log 2 - log 81 - log 3
= log 2
Correct Answer: 0.6990
Explanation:
log 5 = log 10 /2 = log 10 - log 2
= 1 - 0.3010 = 0.6990
Correct Answer: 0.4471
Explanation:
log102.8 = log10(28/10)
= log 28 - log 10
= log (7 x 4 ) - log 10
= log 7 + 2 log 2 - log 10
= 0.8451 + 2 x 0.3010 - 1
= 0.8451 + 0.6020 - 1
= 0.4471
Correct Answer: 5
Explanation:
? Marked price of a shirt = ? 320
Discount on a shirt = 320 x 25/100 = ? 80
? Number of shirts has to be purchased to get a rebate of ? 400 = 400/80 = 5
Correct Answer: 10.5 Rupees
Explanation:
Allowance per day = total allowance / number of days in year
= 3832.5 / 365
= 10.5 Rupees
Correct Answer: 4
Explanation:
? = 26.003 - 154.001 ÷ 6.995
= 26 - 154 ÷ 7 = 26 - 22 = 4
Correct Answer: 1000 / 301
Explanation:
log2 10 = log 10 / log 2
= 1 / log 2
= 1.0000 / 0.3010
= 1000 / 301
Correct Answer: 68
Explanation:
Let four consecutive even numbers are x, x+2, x+4, x+6.
According to the question
? x + x+2 + x+4 + x+6 = 284
? 4x + 12 = 284
? 4x = 272
? x = 272 / 4 = 68
Correct Answer: 8 hours
Explanation:
Suppose the man covers first distance in x hrs. and second distance in y hrs.
Then , 4x + 5y = 35 and 5x +4y= 37
Solving these equation , we get
X=5 and y=3
Total time taken = (5+3) hrs= 8hrs
Correct Answer: Rs. 1020
Explanation:
| T.D. = | ❨ | B.G. x 100 | ❩ | = Rs. | ❨ | 270 x 100 | ❩ | = Rs. 750. |
| R x T | 12 x 3 |
∴ B.D. = Rs.(750 + 270) = Rs. 1020.
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