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- Question
- The current of a stream runs at 1 km/h. A motorboat goes 35 km upstream and back again at the starting point in 12 h. What is the speed of motorboat in still water?
Options- A. 7 km/h
- B. 4 km/h
- C. 6 km/h
- D. 5 km/h
- Correct Answer
- 6 km/h
ExplanationLet the speed of boat in still water be V km/h. Then,
35/(V - 1) + 35/(V + 1) = 12
? 35(V + 1 + V - 1) = 12(V2 - 1)
? 6V2 - 35V - 6 = 0
? (V - 6)(6V + 1) = 0
? V = 6 (V = - 1/6 is not possible)
So, speed of boat in still water is 6 km/h. - 1. In the xy?coordinate system, if ( a, b) and ( a + 3, b + k) are two points on the line defined by the equation x = 3y ? 7, then k =?
Options- A. 7 3
- B. 1
- C. 9
- D. 3 Discuss
- 2.
If ?0.03 x 0.3 a = 0.03 x 0.3 x ? b then value of a is b
Options- A. 0.009
- B. 0.9
- C. 0.09
- D. 0.08 Discuss
- 3. A man brought toffees at 6 for a rupee. How many toffees for a rupee must he sell to gain in 50%.?
Options- A. 5
- B. 2
- C. 4
- D. 6 Discuss
- 4. In a triangle ABC, ?A = x°, ?B = y° and ?C = (y + 20)°. If 4x ? y = 10, then the triangle is :
Options- A. Right-angle
- B. Obtuse-angled
- C. Equilateral
- D. None of these Discuss
- 5. The sum of the squares of two numbers is 234 and the square of their difference is 144. Find the product of the two numbers?
Options- A. 28
- B. 52
- C. 36
- D. 45 Discuss
- 6. A man sold an article at a loss of 25% . If he sells the article for Rs. 21 more, he would have got a gain of 10% . The CP of the article is?
Options- A. Rs. 56
- B. Rs. 84
- C. Rs. 60
- D. Rs. 92 Discuss
- 7. A man purchased a cow for Rs. 300 and sold it the same day for Rs. 360, allowing the buyer at the credit of 2 years. If the rate of interest be 7 1/ 2% per annum, then the man has a gain of?
Options- A. 41/2%
- B. 53/7%
- C. 6%
- D. 5% Discuss
- 8. At what price must Kantilal sell a mixture of 80 kg sugar at Rs. 6.75 per kg with 120 kg at Rs. 8 per kg to gain 20%?
Options- A. Rs. 7.50 per kg
- B. Rs. 8.20 per kg
- C. Rs. 8.85 per kg
- D. Rs. 8.76 per kg Discuss
- 9. A owns a house worth Rs. 10000. He sells it to B at a profit of 10% based on the worth of the house B sell the house back to A at a loss of 10%. In this transaction A gets?
Options- A. No profit no loss
- B. Profit of Rs . 1000
- C. Profit of Rs . 1100
- D. Profit of Rs . 2000 Discuss
- 10. A man sells a car to his friend at 10% loss. If the friend sells it for Rs. 54000 and gains 20%, the original C.P. of the car was?
Options- A. Rs. 25000
- B. Rs. 37500
- C. Rs. 50000
- D. Rs. 60000 Discuss
More questions
Correct Answer: 1
Explanation:
Given in the question,
Points (a, b) and [(a + 3), (b + k)] will satisfy the equation x ? 3y + 7 = 0.
Points (a, b) in the equation x ? 3y + 7 = 0, We will get
? a ? 3b + 7 = 0 ...................... (i)
Points (a + 3), (b + k) in the equation x ? 3y + 7 = 0, We will get
a + 3 ? 3 (b + k) + 7 = 0
? a + 3 ? 3b ? 3 k + 7 = 0 (Rearrange the equation)
? a ? 3b + 7 + 3 ? 3 k = 0 (a ? 3b + 7 = 0 , Put the value from Equation (1) ), We will get
? 0 + 3 ? 3k = 0
? 3k = 3
? k = 1
Correct Answer: 0.9
Explanation:
Correct Answer: 4
Explanation:
CP of 6 toffees = ? 1,
SP of 6 toffees = 150% of 1 = 150/100 = 3/2
? For ? 3/2, the number of toffees sold = 6
? For ? 1, the number of toffees sold = 6 x (2/3) = 4
Correct Answer: Right-angle
Explanation:
Given :- ?A = x° , ?B = y° , ?C = ( y + 20 )° and 4x ? y = 10
We know that , ?A + ?B + ?C = 180°
? x + y + ( y + 20 ) = 180°
? x + 2y = 180 - 20 = 160° ........... ( ? )
4x ? y = 10 ........... ( ? )
From ( ? ) and ( ? ) , we get
? y = 70 , x = 20
? The angles of the triangle are 20° , 70° , 90° .
Hence , the triangle will be Right-angle triangle .
Correct Answer: 45
Explanation:
Let the two numbers be x and y.
Then, x2 + y2 = 234 ...(i)
and (x - y)2 = 144 ...(ii)
Now, (x - y)2 = 144
? x2 + y2 - 2xy = 144
? 234 - 2xy = 144 [using Eq.(i)]
On substituting the value of x2 + y2 from Eq.(i) in Eq.(ii),
we get
2xy = 90
? xy = 45
So, the product of the two numbers is 45.
Correct Answer: Rs. 60
Explanation:
Let CP Rs. x
Then, (110x / 100) - (75x / 100) = 21
? 35x = 2100
? x = Rs. 60
Correct Answer: 5%
Explanation:
P.W. of Rs. 360 due 2 years hence at 71/7% per annum
= Rs. { {100 x 360} / {100 + (50/7 x 2)}}
= Rs. { (100 x 360 x 7) / 800} = Rs. 315
? S.P. = Rs. 315
Hence, gain % = (15 x 100) / 300 = 5%
Correct Answer: Rs. 8.76 per kg
Explanation:
Total C.P.of 200 kg of sugar = Rs. (80 x 6.75 + 120 x 8)
= Rs. (500 + 960)
= Rs. 1460
C.P. of 1 kg = Rs. 1460 / 200 = Rs. 7.30
Gain required = 20%
? S.P. of 1 kg = (120% of Rs. 7.30)
= Rs. (120/100) x 7.30
= Rs. 8.76 per kg
Correct Answer: Profit of Rs . 1100
Explanation:
C.P. of B = 110% of Rs. 10000 = Rs. 11000
Loss of B = 10%
S.P. of B = 90% of Rs. 11000 = Rs. 9900
Thus, C.P. of A = Rs. 9900
So, A gets [(10% of Rs. 10000) + (10000 - 9900)] = Rs. 1100
Correct Answer: Rs. 50000
Explanation:
? S.P. = Rs. 54000
Gain earned = 20%
? C.P. = Rs. (100/120) x 54000 = Rs. 45000
Now, S.P. = Rs. 45000
And Loss = 10%
? Original C.P. = Rs. (100/90) x 45000 = Rs. 50000
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