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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 length of each side of an equilateral triangle having an area of 4?3 cm 2 is?
Options- A. 4/?3 cm
- B. ?3/4 cm
- C. 3 cm
- D. 4 cm Discuss
- 2. A sum becomes two fold in 6 yr at a certain rate of interest. Find the time, in which the same mount will be 10 fold at the same rate of interest.
Options- A. 35 yr
- B. 49 yr
- C. 59 yr
- D. 54 yr Discuss
- 3. For a certain sum, the simple interest in 2 yr at 8% per annum is ? 110 more than the simple interest in 1 yr at the ratio of 5% per annum for the same sum. Find the sum.
Options- A. ? 5000
- B. ? 1000
- C. ? 1050
- D. ? 950 Discuss
- 4. The positive number, when increased by 10 equals 200 times its reciprocal. What is the number?
Options- A. 100
- B. 10
- C. 20
- D. 200 Discuss
- 5. In a certain time, a sum becomes 4 times at the rate of 5% per annum. At what rate of simple interest, the same sum becomes 8 times in the same duration?
Options- A. 122/3 %
- B. 113/5 %
- C. 112/3 %
- D. 123/5 % Discuss
- 6. Kriya deposits an amount of ? 65800 to obtain a simple interest at the rate of 14% per annum for 4 yr. What total amount will Kriya get at the end of 4 yr?
Options- A. ? 102648
- B. ? 115246
- C. ? 125578
- D. ? 110324 Discuss
- 7. The cost of 5 pens and 8 pencils is ?31.What would be the cost of 15 pens and 24 pencils?
Options- A. ?93
- B. ?99
- C. ?96
- D. Cannot be determined Discuss
- 8. Find the area of a triangle whose sides measure 8 cm, 10 cm and 12 cm.
Options- A. 8?63 sq cm
- B. 5?63 sq cm
- C. 6?53 sq cm
- D. 7?93 sq cm Discuss
- 9. Two equal sums of money were lent at simple interest at 10% per annum for 4 yr and 5 yr, respectively. If the difference in interest for two period was ? 220, then each sum is?
Options- A. ? 880
- B. ? 1100
- C. ? 2200
- D. ? 1640 Discuss
- 10. If the three-four of a number is subtracted from the number, the value so obtained is 163.What is the number?
Options- A. 625
- B. 562
- C. 632
- D. 652 Discuss
More questions
Correct Answer: 4 cm
Explanation:
Area of equilateral triangle = ?3/4 a2 = 4?3.
? a2 = 16
? a = 4 cm
Correct Answer: 54 yr
Explanation:
Here, n = 2, m =10, T1 = 6 yr, T2 = ?
? T2 = [(m - 1) / (n - 1)] x T1
= [(10 - 1)/(2 - 1)] x 6
= 54 yr
Correct Answer: ? 1000
Explanation:
Given, SI1 - SI2 = 110,
T1 = 2 Yr,
T2 = 1 yr, R1 = 8%, R2 = 5%
According to the question,
[(P x 8 x 2)/100] - [(P x 5 x 1)/100] = 110
? 11P/100 = 110
? P = ? 1000
Correct Answer: 10
Explanation:
Let the positive number be N.
According to the question,
N + 10 = 200 / N
? N2 + 10N = 200
? N2 +10N - 200 =0
? (N - 10)(N + 20) = 0
? N = 10 & N= -20
But N not equal to -20 since N is a positive number
So, the required number is 10
Correct Answer: 112/3 %
Explanation:
Let the sum be p
Then, for R = 5%
SI = (4p - p) = 3p
? 3p = (P x 5 x T)/100 = PT/20
? T = 60 yr
Again, for another rate (R)
SI = (8P - P) = 7P
? 7P = (P x R x 60)/100
? R = (7 x 100)/60 = 35/3%
= 112/3 %
Correct Answer: ? 102648
Explanation:
Here, P = ? 65800, R = 14% T = 4 yr
Hence, SI = (65800 x 14 x 4) / 100 =? 36848
? Required amount = P + SI
= 65800 + 36848
= ? 102648
Correct Answer: ?93
Explanation:
Cost of 5 pens + 8 pencils = ?31
On multiplying by 3
15 pens + 24 pencils = 3 x 31 =
?15 pens + 24 pencils = 93
Correct Answer: 5?63 sq cm
Explanation:
Given that, a = 8 cm, b = 10 cm and c = 12 cm
We know, that
s = (a + b + c)/2
= (8 + 10 + 12)/2
= 30/2 = 15 cm
? (s - a) = (15 - 8) = 7 cm
(s - b) = (15 - 10) = 5 cm
(s - c) = (15 - 12) = 3 cm
? Area = ?s(s - a) (s - b) (s - c)
= ?15 x 7 x 5 x 3
= ?1575
= ?25 x 63
= 5?63 cm
Correct Answer: ? 2200
Explanation:
Let each sum be ? P then,
(P x 10 x 5)/100 - (P x 10 x 4)/100 = 220
? P/10 = 220
? P = 2200
Hence, each sum is ? 2200.
Correct Answer: 652
Explanation:
Let the number be N.
According to the question,
N - (N x 3/4) =163
? N/4 =163
? N=652
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