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401.

Express the following percentages as ratios in the reduced form. (i) 75 : 100 (ii) 44 : 100 (iii) 6.25% (iv) 52 : 100 (v) 0.64%

Answer»
Express the following percentages as ratios in the reduced form.




(i) 75 : 100


(ii) 44 : 100


(iii) 6.25%


(iv) 52 : 100


(v) 0.64%
402.

A particle slides down a smooth inclined palns of elevation θ, fixed in an elevator going up with on acceleration α0 (figure 5 W12). The base of the incline has a length L. Find the time taken by the particle to reach the bottom.

Answer» A particle slides down a smooth inclined palns of elevation θ, fixed in an elevator going up with on acceleration α0 (figure 5 W12). The base of the incline has a length L. Find the time taken by the particle to reach the bottom.





403.

If Manu eats 14 th of a pizza and Raj eats 36 th of a pizza then Iqbal says, Raj ate more quantity of pizza than Manu. Is he right explain.

Answer» If Manu eats 14 th of a pizza and Raj eats 36 th of a pizza then Iqbal says, Raj ate more quantity of pizza than Manu. Is he right explain.
404.

Find the missing term in the sequence 15, 25, 40, 130,(?), 2560

Answer»

Find the missing term in the sequence
15, 25, 40, 130,(?), 2560


405.

5. A triangular park is enclosed on two sides by a fence and on the third side by a straight river bank. The two sides having fence are of same length x. The maximum area enclosed by the park is

Answer» 5. A triangular park is enclosed on two sides by a fence and on the third side by a straight river bank. The two sides having fence are of same length x. The maximum area enclosed by the park is
406.

Assume that DREAM PINK, CREAM, and ORANGE LAIT has the same Selling Price(SP). Which of the three is the most profitable to manufacture?

Answer»

Assume that DREAM PINK, CREAM, and ORANGE LAIT has the same Selling Price(SP). Which of the three is the most profitable to manufacture?


407.

Find the cost of painting curved surface area of a cylindrical pillar of height 10 m and radius 3.5 m at Rs. 10 per sq. meter. (Take π227)

Answer» Find the cost of painting curved surface area of a cylindrical pillar of height 10 m and radius 3.5 m at Rs. 10 per sq. meter. (Take π227)
408.

To build a house at a faster pace, the contractor increases the wages/ hour of each worker by 20% and the working hours by 25% . By how much percent has the daily earnings of each labourer increased?

Answer»

To build a house at a faster pace, the contractor increases the wages/ hour of each worker by 20% and the working hours by 25% . By how much percent has the daily earnings of each labourer increased?

409.

Which of the two is smaller - 513 or 614?

Answer»

Which of the two is smaller - 513 or 614?

410.

Q4. A speaks truth in 60 percent of the cases and B in 90 percent of the cases. The percentage of cases they are likely to contradict each other in stating the same fact is:

Answer»

Q4. A speaks truth in 60 percent of the cases and B in 90 percent of the cases. The percentage of cases they are likely to contradict each other in stating the same fact is:


411.

Ten players of the Australian team made an average of 63 runs and ten players of the Indian team made an average of 77 runs. Calculate the average run made by both the teams.

Answer» Ten players of the Australian team made an average of 63 runs and ten players of the Indian team made an average of 77 runs. Calculate the average run made by both the teams.
412.

A market research group conducted a survey of 1000 consumers and reported that 720 consumers like product A and 450 consumers like product B, what is the least number that must have liked both products?

Answer» A market research group conducted a survey of 1000 consumers and reported that 720 consumers like product A and 450 consumers like product B, what is the least number that must have liked both products?
413.

If Rihanna deposits 1500 rupees in the school fund at 9 p.c.p.a for 2 years, what is the total amount she will get?

Answer» If Rihanna deposits 1500 rupees in the school fund at 9 p.c.p.a for 2 years, what is the total amount she will get?
414.

Which of the following colleges, won a silver medal in Running? (Refer to the data in previous questions.)

Answer»

Which of the following colleges, won a silver medal in Running? (Refer to the data in previous questions.)

415.

The three roots of the equation f(x)=0 are x=−2,0,3. What are the three value of x for which f(x−3)=0?

Answer»

The three roots of the equation f(x)=0 are x=2,0,3. What are the three value of x for which f(x3)=0?

416.

range of x/x-5

Answer» range of x/x-5
417.

Which of the following is not true? a) Given that the sides of a scalene triangle are integers, then one of the sides can be 1 b) The 3 medians of a triangle divide it into 6 similar triangles c) An isosceles triangle can never be obtuse

Answer»

Which of the following is not true?
a) Given that the sides of a scalene triangle are integers, then one of the sides can be 1
b) The 3 medians of a triangle divide it into 6 similar triangles
c) An isosceles triangle can never be obtuse

418.

There are 3 decks of cards, each deck has 6 cards marked 1,2,3,4,5, and 6. What is the total number of possible ways of drawing one card from each deck, so that the sum of the three cards drawn is 7?

Answer»

There are 3 decks of cards, each deck has 6 cards marked 1,2,3,4,5, and 6. What is the total number of possible ways of drawing one card from each deck, so that the sum of the three cards drawn is 7?

419.

The cost of petrol in city is Rs 70 per litre. Find a linear equation in two variables where y represent number of litres of petrol consumed and Rs x is total cost

Answer» The cost of petrol in city is Rs 70 per litre. Find a linear equation in two variables where y represent number of litres of petrol consumed and Rs x is total cost
420.

Find the number of terms in an AP formed by all 3 digit numbers which when divided by 5 leaves a remainder of 3.

Answer» Find the number of terms in an AP formed by all 3 digit numbers which when divided by 5 leaves a remainder of 3.
421.

Let ABC be a right triangle in which AB = 6 cm, BC = 8 cm and ∠B=90∘, BD is perpendicular B to AC. The circle through BCD is drawn. Construct the tangents from A to the circle.

Answer» Let ABC be a right triangle in which AB = 6 cm, BC = 8 cm and B=90, BD is perpendicular B to AC. The circle through BCD is drawn. Construct the tangents from A to the circle.
422.

Find the subject in the given sentence. Next week my friend will come to live with us.

Answer»

Find the subject in the given sentence.

Next week my friend will come to live with us.


423.

A wooden cask contains some tools i.e. exactly 12 nuts and 24 bolts. (13)rd of each of these are defective. If 2 tools are picked up one after the other without replacement, then what is the probability that both are not defective?

Answer»

A wooden cask contains some tools i.e. exactly 12 nuts and 24 bolts. (13)rd of each of these are defective. If 2 tools are picked up one after the other without replacement, then what is the probability that both are not defective?

424.

19. a man buys a plot for 40000. he sells 1/5 th of the plot at a loss of 25% and 3/8 th of the plots at a profit of 25%. at what price should he sells the remaining portion of the plots to make a profit of 10% on the whole.

Answer» 19. a man buys a plot for 40000. he sells 1/5 th of the plot at a loss of 25% and 3/8 th of the plots at a profit of 25%. at what price should he sells the remaining portion of the plots to make a profit of 10% on the whole.
425.

In the following table, the left column contains the names of standard graph algorithms and the right column contains the time complexities of the algorithms.Match each algorithm with its time complexity.List-IList-II1.Bellman-Ford algorithmA.O(m log n)2.Kruskal's algorithmB.O(n3)3.Floyd-Warshall algorithmC.O(nm)4.Topological sortingD.O(n+m)

Answer»

In the following table, the left column contains the names of standard graph algorithms and the right column contains the time complexities of the algorithms.



Match each algorithm with its time complexity.



List-IList-II1.Bellman-Ford algorithmA.O(m log n)2.Kruskal's algorithmB.O(n3)3.Floyd-Warshall algorithmC.O(nm)4.Topological sortingD.O(n+m)

426.

A plane MH370 is reported to have crashed somewhere in the rectangular region shown in fig. The probability that it crashed inside the lake (shown in the figure) is P110 . Find the value of 'P'. Type the answer in the blank below: ___

Answer»

A plane MH370 is reported to have crashed somewhere in the rectangular region shown in fig. The probability that it crashed inside the lake (shown in the figure) is P110 . Find the value of 'P'. Type the answer in the blank below:

___

427.

In a flight of 2800 km, an aircraft was slowed down due to bad weather. Its average speed is reduced by 100 km/h and time increased by 30 minutes. Find the original duration of the flight.

Answer» In a flight of 2800 km, an aircraft was slowed down due to bad weather. Its average speed is reduced by 100 km/h and time increased by 30 minutes. Find the original duration of the flight.
428.

A person is paid Rs. 150 for each day he works and is fined Rs 30 for each day he remains absent. If in 40 days, he earned Rs 3,300; find for how many days did he work?

Answer» A person is paid Rs. 150 for each day he works and is fined Rs 30 for each day he remains absent. If in 40 days, he earned Rs 3,300; find for how many days did he work?
429.

If three sides of a rectangular park have a total length of 400ft, then the area of the park is maximum when the length (in ft) of its longer side is (in ft.)___

Answer» If three sides of a rectangular park have a total length of 400ft, then the area of the park is maximum when the length (in ft) of its longer side is (in ft.)___
430.

f0(x)=11+x if x > 0, f0(x)=1+x if x ≤ 0. Also given that fn(x)=f0(fn−1(x)). If x=1, find f1(x) f2(x) f3(x)⋯f6(x).

Answer» f0(x)=11+x if x > 0, f0(x)=1+x if x 0. Also given that fn(x)=f0(fn1(x)).
If x=1, find f1(x) f2(x) f3(x)f6(x).
431.

Angela deposited 15000 rupees in a bank at a rate of 9 p.c.p.a. She got simple interest amounting to 5400 rupees. For how many years had she deposited the amount?

Answer» Angela deposited 15000 rupees in a bank at a rate of 9 p.c.p.a. She got simple interest amounting to 5400 rupees. For how many years had she deposited the amount?
432.

From a group of 20 persons, in how many ways can we arrange 10 persons around a circular table?

Answer»

From a group of 20 persons, in how many ways can we arrange 10 persons around a circular table?


433.

If Tom lives in room no. 22, then which two students live in room no. 26?

Answer»

If Tom lives in room no. 22, then which two students live in room no. 26?

434.

Which set of numbers could be the universal set for the sets given below? (i) A = set of multiples of 5, B = set of multiples of 7. C = set of multiples of 12 (ii) P = set of integers which are multiples of 4. T = set of all even square numbers.1

Answer»
Which set of numbers could be the universal set for the sets given below?




(i) A = set of multiples of 5, B = set of multiples of 7.

C = set of multiples of 12




(ii) P = set of integers which are multiples of 4. T = set of all even square numbers.1
435.

The sum of the first n terms of an AP is 3n2+6n. Find the n th term of this AP.

Answer» The sum of the first n terms of an AP is 3n2+6n. Find the n th term of this AP.
436.

What are the last two digits of 2253?

Answer»

What are the last two digits of 2253?


437.

There are five maths books, four science books and three Literature books .How many different collections a person can make selecting at least one of each kind when all books are different? And when the books in a category are same?

Answer» There are five maths books, four science books and three Literature books .How many different collections a person can make selecting at least one of each kind when all books are different? And when the books in a category are same?
438.

Choose the most appropriate option to replace (?). 4000 2008 1012 ? 265 140.5 78.25

Answer»

Choose the most appropriate option to replace (?).
4000 2008 1012 ? 265 140.5 78.25

439.

Who amongst A, B, C, D and E is the tallest? I. A is taller than B. E is not the tallest. II. C is taller than A. D is not the tallest.

Answer»

Who amongst A, B, C, D and E is the tallest?

I. A is taller than B. E is not the tallest.

II. C is taller than A. D is not the tallest.


440.

Average speed of a train excluding stoppages is 45 km/hr and including stoppages is 36 km/hr. For how many minutes does the train stop per hour?

Answer»

Average speed of a train excluding stoppages is 45 km/hr and including stoppages is 36 km/hr. For how many minutes does the train stop per hour?


441.

If a2+b2+c2=1 then ab + bc + ac lies in the interval:

Answer»

If a2+b2+c2=1 then ab + bc + ac lies in the interval:

442.

Given below are two overlapping unit circles. Find the area of the shaded region.

Answer»

Given below are two overlapping unit circles. Find the area of the shaded region.


443.

prove that (r1‐r)(r2‐r)(r3‐r)=4r^2RProperties of triangle

Answer» prove that (r1‐r)(r2‐r)(r3‐r)=4r^2R
Properties of triangle
444.

There are certain number of pipes with equal efficiencies and two tanks A and B. Capacity of A is double that of B. These pipes fill tank A for half a day. Then half of them fill A and rest fill B for rest of the day. By the end of the day, tank A is completely filled. And it takes a single pipe half of next day to fill the remaining of tank B. How many pipes are there in total?

Answer»

There are certain number of pipes with equal efficiencies and two tanks A and B. Capacity of A is double that of B. These pipes fill tank A for half a day. Then half of them fill A and rest fill B for rest of the day. By the end of the day, tank A is completely filled. And it takes a single pipe half of next day to fill the remaining of tank B. How many pipes are there in total?

445.

A line is divided into two parts such that 23rd of the first part is equal to 53rd of the second part. Find the length of the first part if the total length of the line is 7 m.

Answer»

A line is divided into two parts such that 23rd of the first part is equal to 53rd of the second part. Find the length of the first part if the total length of the line is 7 m.


446.

The sum of n terms of an A.P. is (2n+3n sq). Determine the AP and find its nth term.

Answer» The sum of n terms of an A.P. is (2n+3n sq). Determine the AP and find its nth term.
447.

Q38. Drum X is 1/2 full of oil and drum Y, which has twice the capacity of drum X , is 2/3 full of oil. If all of the oil in drum X is poured into drum Y, then drum Y will be filled to what fraction of its capacity?

Answer»

Q38. Drum X is 1/2 full of oil and drum Y, which has twice the capacity of drum X , is 2/3 full of oil. If all of the oil in drum X is poured into drum Y, then drum Y will be filled to what fraction of its capacity?


448.

Ravi bought a bike with a marked price of Rs.40,000. The dealer gave him two successive discounts of 10% and 20%. After he bought the bike, he spent 10% of the cost of the bike on the accessories. The price should he sell the bike to earn a profit of 10%. is (in Rs.)___

Answer» Ravi bought a bike with a marked price of Rs.40,000. The dealer gave him two successive discounts of 10% and 20%. After he bought the bike, he spent 10% of the cost of the bike on the accessories. The price should he sell the bike to earn a profit of 10%. is (in Rs.)___
449.

A company is manufacturing paper plates and bowls. It produces 1,00,000 plates and bowls each day. Due to local festival, it got an urgent order of extra 50,000 plates and bowls. Explain the method of recruitment that the company should adopt in the given circumstances to meet the order.

Answer» A company is manufacturing paper plates and bowls. It produces 1,00,000 plates and bowls each day. Due to local festival, it got an urgent order of extra 50,000 plates and bowls. Explain the method of recruitment that the company should adopt in the given circumstances to meet the order.
450.

Given a,b,c and d four non-zero positive real numbers such that a/b = b/c = c/d = d/a. The largest possible value of (ab - 3*bc + ca)/(a^2 -b^2 + c^2) isA) -1B) 2C) 3D) None of these

Answer» Given a,b,c and d four non-zero positive real numbers such that a/b = b/c = c/d = d/a. The largest possible value of (ab - 3*bc + ca)/(a^2 -b^2 + c^2) is

A) -1
B) 2
C) 3
D) None of these