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- Question
- If a/b = 1/3, then (3a + 2b) / (3a - 2b) is equal to?
Options- A. 3
- B. -3
- C. -5
- D. -1
- Correct Answer
- -3
ExplanationGiven expression = (3a + 2b) / (3a - 2b)
= [3(a/b) + 2] / [3(a/b) - 2]
= [3 x 1/3 + 2] / [3 x 1/3 - 2]
= 3 / -1
=-3 - 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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