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- Question
Kamal has some apples. He sold 40% more than he ate. If he sold 70 apples, how many did he eat?
Options- A. 18
- B. 42
- C. 50
- D. 90
- Correct Answer
- 50
- 1. The average monthly salary of employees, consisting of officers and workers, of an organisation is Rs. 3000. The average salary of an officer is Rs. 10,000 while that of a worker is Rs. 2000 per month. If there are total 400 employees in the organisation, find the number of officers and workers separately.
Options- A. 300 , 100
- B. 50 , 350
- C. 250 , 150
- D. 310 , 90 Discuss
- 2. A tank 30 m long, 20 m wide and 12 m deep is dug in a field 500 m long and 30 m wide. By how much will the level of the field rise, if the Earth dug of the tank is evenly spread over the field?
Options- A. 0.33 m
- B. 0.5 m
- C. 0.25 m
- D. 0.4 m Discuss
- 3. A, B and C invested their capitals in the ratio of 5 : 6 : 8. At the end of the business, they received the profits in the ratio of 5 : 3 : 1. Find the ratio of time for which they contributed their capitals. `
Options- A. 12 : 9 : 7
- B. 25 : 18 : 8
- C. 5 : 6 : 8
- D. 8 : 4 : 1 Discuss
- 4. A and B invest Rs. 3000 and Rs. 4000 in a business. A receives Rs. 10 per months out of the profit as a remuneration for running the business and the rest of profit is divided in proportion to the investment. In a year A totally receives Rs. 390. What does B receives?
Options- A. Rs. 630
- B. Rs. 360
- C. Rs. 480
- D. Rs. 380 Discuss
- 5. In an examination, a student scored 4 marks for every correct answer and losses 1 mark for every wrong answer. A student attempted all the 200 question and scores 200 marks. Find the number of questions, he answer correctly.
Options- A. 82
- B. 80
- C. 68
- D. 60 Discuss
- 6. There are two numbers such that the sum of twice the first number and thrice the second number is 100 and the sum of thrice the first number and twice the second number is 120. Which is the larger number?
Options- A. 32
- B. 12
- C. 14
- D. 35 Discuss
- 7. A, B and C are three partners in a business. If twice the investment of A is equal to thrice the capital of B and the capital of B is four times the capital of C. Out of a total profit of Rs. 5,940 the share of C is?
Options- A. Rs. 700
- B. Rs. 900
- C. Rs. 740
- D. Rs. 540 Discuss
- 8. If 2 a + 3 b = 17 and 2 a + 2 - 3 b +1 = 5, then
Options- A. a = 2, b = 3
- B. a = -2, b = 3
- C. a = 2, b = -3
- D. a = 3, b = 2 Discuss
- 9. At what time between 1'O clock and 2'O clock the hands of the clock are opposite to each other.
Options- A. 34(6/11) past 1'Oclock
- B. 38(2/11)past 1'Oclock
- C. 56(8/11)past 1'Oclock
- D. 64(9/11)past 1'Oclock Discuss
- 10. 729 ml of a mixture contains milk and water in the ratio 7 : 2. How much more water is to be added to get a new mixture containing milk and water in the ratio of 7 :3?
Options- A. 60 ml
- B. 70 ml
- C. 81 ml
- D. 90 ml Discuss
More questions
Correct Answer: 50 , 350
Explanation:
As per figure we can calculate the ration as below
Number of officers / Number of workers = 1000 / 7000 = 1 / 7
No. of officers = 1 / (1 + 7) × 400 = 50
No. of workers = 400 ? 50 = 350
Correct Answer: 0.5 m
Explanation:
Volume of the Earth taken out = 30 x 20 x 12
= 7200 m3
Area of the remaining portion (leaving the area of dug out portion) = 470 x 30 + 30 x 10
= 14100 + 300 = 14400 m3
Let h be height to which the field is raised by spreading the Earth dug out.
Then, 14400 x h = 7200
? h = 7200/14400 = 0.5 m
Correct Answer: 8 : 4 : 1
Explanation:
Here, p1 : p2 : p3 = 5 : 3 : 1 and x1 : x2 : x3 = 5 : 6 : 8
According to the formula,
Required ratio = p1/x1 : p2/x2 : p3/x3
= 5/5 : 3/6 : 1/8
= 1 : 1/2 : 1/8 = 8 : 8/2 : 8/8 = 8 : 4 : 1
Correct Answer: Rs. 360
Explanation:
Total profit - Remuneration = Balance profit This balance profit is divided in proportion to their investment
? (Balance Profit of A) / (Balance Profit of B) = (Investment of A) / (investment of B)
? (390 - 10 x 12) / balance of Profit of B = 3000/4000 = 3/4
(Since remuneration of A is Rs. 10 per month)
? Balance profit of B = (4 x 270)/3 = Rs. 360
Since B does not get any remuneration, hence B receives Rs. 360 at the end of the year.
Correct Answer: 80
Explanation:
Let the number of correct answer be x and number of wrong answer be y.
Then, 4x - y = 200 ..(i)
and x + y = 200 ..(ii)
On adding Eqs. (i) and (ii), we get
4x - y = 200
x + y = 200
----------------
5x = 400
? x = 80
Correct Answer: 32
Explanation:
Let us assume the first number is x and second number is y.
According to question,
sum of twice the first number and thrice the second number is 100.
2x + 3y = 100 ...................(1)
and sum of thrice the first number and twice the second number is 120.
3x + 2y = 120...................(2)
Subtract equation (1) from Equation (2) after multiply 2 with Equation (1) and 3 with Equation (2), we will get.
3(3x + 2y) - 2(2x + 3y) = 3 x 120 - 2 x 100
9x + 6y - 4x - 6y = 360 - 200
5x = 160
x = 32
put the value of x in equation (1)
2 x 32 +3y = 100
3y = 100 - 64
3y = 36
y = 12
The larger Number is 32 .
Correct Answer: Rs. 540
Explanation:
Let C's capital = Rs.N Then B's capital = Rs. 4N
? 2(A's capital) = 3 (B's capital) = 12N
? A's capital = 6N
? A : B : C = 6N : 4N : N = 6 : 4 : 1
? C's share = Rs. 5940 x (1/11) = Rs. 540
Correct Answer: a = 3, b = 2
Explanation:
Given, 2a + 3b = 17
and 2a + 2 - 3b + 1 = 5
? 22 x 22 - 3b x 31 = 5
? 4.2a - 3.3b = 5
Let 2a = x amd 3b = y
Then, x + y = 17 ...(i)
4x - 3y = 5 ...(ii)
On multiplying Eq. (i) by 3 and adding to Eq (ii), we get
3x + 3y = 51
4x - 3y = 5
------------------
7x = 56
? x = 8
On putting the value of x in Eq. (i), we get
8 + y = 17
? y = 9
Now, 2a = x
? 2a = 8 (2)3
? 3b = y = 9
? 3b = 32
? b = 2
Hence, a = 3 and b = 2
Correct Answer: 38(2/11)past 1'Oclock
Explanation:
The minute hand to coincide with the hour hand it should trace at first 5 minute spaces and then the hands of the clocks to be opposite to each other minute hand should trace 30 minute spaces i.e. totally it should gain 5 + 30 = 35 minute spaces to be opposite to that of hour hand.
We know that, Minute hand gains 55 minute spaces over hour hand in 1 hour. Therefore, Minute hand gain 40 minute spaces over hand in 35 x (60/55) = 38(2/11).
Hence the hand of the clock will minutes be opposite to each at 38 (2/11) past 1'O clock. Therefore, Correct option is B.
Correct Answer: 81 ml
Explanation:
Milk = (729 x 7/9) = 567 ml
Water = (729 x 2/9) = 162 ml
Let water to be added is w
? 567 / (162 + w) = 7/3
? 3 x 567 - 7 x 162 = 7 x w
? 1701 - 1134 = 7 x w
? 7w = 1701 - 1134
? w = 567/7 = 81 ml
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