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- Question
In the given figure, PQRS is a rectangle and a semicircle with SR as diameter is drawn. A circle is drawn as shown in the figure. If QR = 7 cm, then what is the radius (in cm) of the small circle?
Options- A. 21+14√2
- B. 21-14√2
- C. 20+14√2
- D. 20-14√2
- Correct Answer
- 21-14√2
- 1. The true discount on a bill of $ 1260 is due for 6 months at 10 % per annum is:
Options- A. $ 60
- B. $ 160
- C. $ 80
- D. $ 260 Discuss
- 2. P starts a business with ? 300000 and Q join him after 3 months with ? 1200000. Find the ratio of their profits at the end of the year .
Options- A. 2 : 5
- B. 3 : 5
- C. 5 : 1
- D. 1 : 3 Discuss
- 3. Ravi and Kavi start a business by investing ? 8000 and ? 72000, respectively. Find the ratio of their profits at the end of year.
Options- A. 2 : 9
- B. 5 : 9
- C. 7 : 9
- D. 1 : 9 Discuss
- 4. [137 x 137 + 137 x 133 + 133 x 133] / [137 x 137 x 137 - 133 x 133 x 133] =?
Options- A. 4
- B. 270
- C. 1/4
- D. 1/270 Discuss
- 5. Gopal started a business with Rs. 3000. After 6 months Dinesh also joined him with Rs. 2000. If at the end of the year the profit is Rs. 2600. What is the share of Dinesh in the profit?
Options- A. Rs. 1733
- B. Rs. 1950
- C. Rs. 866
- D. Rs. 650 Discuss
- 6. A, B and C start a business. A invests 3 times as much as B invests and B invests two-third of what C invests. Then, the ratio of capitals of A, B and C is?
Options- A. 3 : 9 : 2
- B. 6 : 10 : 15
- C. 5 : 3 : 2
- D. 6 : 2 : 3 Discuss
- 7. A sum of money is to be divided among A, B and C in the ratio 2 : 3 : 7. If the total share of A and B together is Rs. 1500 less than C. What is A's share in it?
Options- A. Rs. 1000
- B. Rs. 1500
- C. Rs. 2000
- D. Date inadequate Discuss
- 8. Three Hikers A, B and C start on a trip with Rs. 50 each and agree to share the expenses equally. If at the end of the trip. A has Rs. 20 left with him, B Rs.30 and C Rs. 40 how must they settle their accounts?
Options- A. C must pay Rs. 10 to A
- B. A must pay Rs. 10 to B
- C. A must pay Rs. 10 to C
- D. Can't be settled Discuss
- 9. Five time of a position integer is equal to 3 less then twice the square of that number. Find the number.
Options- A. 3
- B. 13
- C. 23
- D. 33 Discuss
- 10. 30 quintals is what percent of 2 metric tonnes?
Options- A. 15%
- B. 1.5%
- C. 150%
- D. 30% Discuss
More questions
Correct Answer: $ 60
Explanation:
Correct Answer: 1 : 3
Explanation:
P's share : Q's share = (300000 x 12) : (1200000 x 9)
= 36 : 108 = 1 : 3
Correct Answer: 1 : 9
Explanation:
Ratio of profit = Ratio of investments
= 8000 : 72000 = 1 : 9
Correct Answer: 1/4
Explanation:
Given exp. = [ a2 + ab + b2 ] / [a3 - b3] where a = 137, b = 133
= 1/(a - b)
= 1/(137- 133)
=1/4
Correct Answer: Rs. 650
Explanation:
Ratio between the investment of Gopal and Dinesh = (3000 x 12) : (2000 x 6)
= 36000 : 12000
= 3 : 1
Dinesh's share = [1/(3 +1)] x 2600 = Rs. 650
Correct Answer: 6 : 2 : 3
Explanation:
Suppose C invests Rs. x then, B invests Rs. 2x/3 and A invests Rs. 2x
? Ratio of investment of A, B, C = 2x : (2x/3) : x = 6 : 2 : 3
Correct Answer: Rs. 1500
Explanation:
? 7x - (2x + 3x) = Rs. 1500
&rArr x = Rs. 750
? Share of A = 2x = Rs. 1500
Correct Answer: C must pay Rs. 10 to A
Explanation:
All should have equal amount of money at the end of trip. So C must pay Rs. 10 to A
Correct Answer: 3
Explanation:
Let the number be N
According to the question 5N = 2N2 - 3
? 2N2 - 5N -3 = 0
? (N - 3) (2N + 1) = 0
N = 3 & -1/2
Thus the required number is 3
Correct Answer: 150%
Explanation:
Required percent = {30/(2 x 10)} x 100 % = 150%
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