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251.

A ball is released from rest on a surface such tha 0

Answer» A ball is released from rest on a surface such tha 0
252.

15.A cricketer throws a ball to a maximum horizontal distance of 100 m. With the same effort he throws the ball vertically upwards. The maximum height attained by the ball is

Answer» 15.A cricketer throws a ball to a maximum horizontal distance of 100 m. With the same effort he throws the ball vertically upwards. The maximum height attained by the ball is
253.

There are 3 sections in a question paper and each section contains 5 questions. A candidate has to answer a total of 5 questions, choosing at least one question from each section. Then the number of ways, in which the candidate can choose the questions, is:

Answer»

There are 3 sections in a question paper and each section contains 5 questions. A candidate has to answer a total of 5 questions, choosing at least one question from each section. Then the number of ways, in which the candidate can choose the questions, is:

254.

The number of words that can be formed out of the letters of the word COMMITTEE is

Answer»

The number of words that can be formed out of the letters of the word COMMITTEE is

255.

A businessman marked the price of his goods 30% more than his CP. He then sells ¼ of his stock at a discount of 15%, and half of the stock at the marked price, and the rest at a discount of 30%. Find his gain %

Answer»

A businessman marked the price of his goods 30% more than his CP. He then sells ¼ of his stock at a discount of 15%, and half of the stock at the marked price, and the rest at a discount of 30%. Find his gain %


256.

16 The two angular opposite vertices of a square are (1,-1) & (3,4). Find the other two vertices.

Answer» 16 The two angular opposite vertices of a square are (1,-1) & (3,4). Find the other two vertices.
257.

(i) What is the final weight obtained on adding 2 weights of 13 kg 750 g and 24 kg 500 g(ii) Subtract 38kg 500g from 45kg 250g.

Answer» (i) What is the final weight obtained on adding 2 weights of 13 kg 750 g and 24 kg 500 g

(ii) Subtract 38kg 500g from 45kg 250g.
258.

How many such consonants are there in the above arrangement, each of which is immediately followed by an odd number?

Answer»

How many such consonants are there in the above arrangement, each of which is immediately followed by an odd number?


259.

18 guests have to be seated, half on each side of a long table. 4 particular guests desire to seat on one particular side and 3 on the other side. Then the number of ways in which the seating arrangement can be made is

Answer» 18 guests have to be seated, half on each side of a long table. 4 particular guests desire to seat on one particular side and 3 on the other side. Then the number of ways in which the seating arrangement can be made is
260.

N=4!+5!+6!.........200!. Find the last two digits of N.

Answer» N=4!+5!+6!.........200!. Find the last two digits of N.
261.

Two manufacturers Ram and Shyam manufacture only three wooden items; bed, table and sofa. The sales (in rupees) of these three items by both of manufacturers in month of June and July are given by the following matrices A and B respectively.Sale in JuneBed Table SofaA=[5000100001500025000150005000]RamShyamSale in JulyBedTable SofaB=[2500500030001000050005000]RamShyamIf both manufacturers receive 2% profit on gross sale, then profit of both manufacturers for each item in July is given by[1 mark]

Answer»

Two manufacturers Ram and Shyam manufacture only three wooden items; bed, table and sofa. The sales (in rupees) of these three items by both of manufacturers in month of June and July are given by the following matrices A and B respectively.



Sale in June

Bed Table SofaA=[5000100001500025000150005000]RamShyam



Sale in July

BedTable SofaB=[2500500030001000050005000]RamShyam



If both manufacturers receive 2% profit on gross sale, then profit of both manufacturers for each item in July is given by



[1 mark]

262.

There is a bag with a mixture of sugar, rice and wheat grains. The quantity of rice is 45th that of wheat and the quantity of sugar is 34th that of rice. In 12 kg of the mixture, the amount of wheat and sugar will be there is___

Answer» There is a bag with a mixture of sugar, rice and wheat grains. The quantity of rice is 45th that of wheat and the quantity of sugar is 34th that of rice. In 12 kg of the mixture, the amount of wheat and sugar will be there is___
263.

What is the smallest positive integer which when multiplied by 252 gives a perfect square ?

Answer»

What is the smallest positive integer which when multiplied by 252 gives a perfect square ?


264.

The angle between the hour hand and the minute hand, when the time is 6:30 is .

Answer»

The angle between the hour hand and the minute hand, when the time is 6:30 is .

265.

For all positive integral values of n, 32n - 2n + 1 is divisible by

Answer»

For all positive integral values of n, 32n - 2n + 1 is


divisible by



266.

Two circles with centres P and Q cut each other at distinct points A and B. The circles have the equal radii and neither P nor Q falls within the intersection of the circles. What is the smallest range that includes all possible values of the angle AQP (in degrees)?

Answer» Two circles with centres P and Q cut each other at distinct points A and B. The circles have the equal radii and neither P nor Q falls within the intersection of the circles. What is the smallest range that includes all possible values of the angle AQP (in degrees)?
267.

The woman who spent Rs. 1193 is

Answer»

The woman who spent Rs. 1193 is


268.

The graph below shows the usage of graph types in a school. Choose the correct options on basis of data given.

Answer»

The graph below shows the usage of graph types in a school. Choose the correct options on basis of data given.




269.

Step II of an input is: 67 cat 12 25 dog fight man 42 Which of the following will be Step V?

Answer»

Step II of an input is: 67 cat 12 25 dog fight man 42

Which of the following will be Step V?


270.

Alex is not finding his seat in a train. Which person at the station will help him?

Answer» Alex is not finding his seat in a train. Which person at the station will help him?
271.

Using the figures given below, frame problems based on profit percent or loss percent ​Cost price of 50 Kg grain Rs 2000, selling price Rs 43 per kg.

Answer» Using the figures given below, frame problems based on profit percent or loss percent

​Cost price of 50 Kg grain Rs 2000, selling price Rs 43 per kg.
272.

Prove that ABCD is parallelogram.

Answer»
Prove that ABCD is parallelogram.
273.

A six storey building with floors numbered 1, 2, 3, 4, 5 and 6, houses different individuals viz. A, B, C, D and E. Floor number 3 is empty. On which floor does A live? I. C lives on an even numbered floor. A lives on a storey exactly above C's floor. II. B lives on an even numbered floor. B's floor is not immediately above or immediately beneath the empty floor. One of the individuals lives in the middle of B and C's floors. D lives immediately beneath E's floor.

Answer»

A six storey building with floors numbered 1, 2, 3, 4, 5 and 6, houses different individuals viz. A, B, C, D and E. Floor number 3 is empty. On which floor does A live?

I. C lives on an even numbered floor. A lives on a storey exactly above C's floor.

II. B lives on an even numbered floor. B's floor is not immediately above or immediately beneath the empty floor. One of the individuals lives in the middle of B and C's floors. D lives immediately beneath E's floor.


274.

The given question consists of a set of statements. Find out whether the data provided in the statements are sufficient to answer the question and mark the option: Point X is in which direction with respect to Y? I. Point Z is at equal distance from both point X and point Y. II. Walking 5 km to the East of point X and taking two consecutive right turns after walking 5 km before each turn leads to point Y.

Answer»

The given question consists of a set of statements. Find out whether the data provided in the statements are sufficient to answer the question and mark the option:

Point X is in which direction with respect to Y?
I. Point Z is at equal distance from both point X and point Y.
II. Walking 5 km to the East of point X and taking two consecutive right turns after walking 5 km before each turn leads to point Y.

275.

If f(x) = cos(Inx), then f(x)f(y)−12[f(xy)+f(xy)] has the value?

Answer»

If f(x) = cos(Inx), then f(x)f(y)12[f(xy)+f(xy)] has the value?

276.

Question 7 (i)Without adding, find the sum: 1 +3 + 5+7 + 9

Answer»

Question 7 (i)

Without adding, find the sum:



1 +3 + 5+7 + 9



277.

Identify the Dividend and the Divisor in the division problem below 8) 37 ( 4 - 32----------- 5-----------

Answer»

Identify the Dividend and the Divisor in the division problem below





8) 37 ( 4


- 32


-----------


5


-----------



278.

Find the coordinates of circumcentre of the triangle whose vertices are (0,0),(5,12)and (16,12)

Answer» Find the coordinates of circumcentre of the triangle whose vertices are (0,0),(5,12)and (16,12)
279.

Question 4From a point P which is at a distance of 13 cm from the centre O of a circle of radius 5 cm, the pair of tangents PQ and PR to the circle is drawn. Then, the area of the quadrilateral PQOR is(A) 60 cm2(B) 65 cm2(C) 30 cm2(D) 32.5 cm2

Answer» Question 4

From a point P which is at a distance of 13 cm from the centre O of a circle of radius 5 cm, the pair of tangents PQ and PR to the circle is drawn. Then, the area of the quadrilateral PQOR is


(A) 60 cm2

(B) 65 cm2

(C) 30 cm2

(D) 32.5 cm2
280.

Two cars are moving in the same direction with the same speed 30 km/hr. They are separated by a distance of 5 km, the speed of a car moving in the opposite direction if it meets these two cars at an interval of 4 minutes, will be?

Answer» Two cars are moving in the same direction with the same speed 30 km/hr. They are separated by a distance of 5 km, the speed of a car moving in the opposite direction if it meets these two cars at an interval of 4 minutes, will be?
281.

If a1,a2,a3....an,....are in G.P., then the value of the determinant ∣∣∣∣lnanlnan+1lnan+2lnan+3lnan+4lnan+5lnan+6lnan+7lnan+8∣∣∣∣ is​​​​​

Answer» If a1,a2,a3....an,....are in G.P., then the value of the determinant
lnanlnan+1lnan+2lnan+3lnan+4lnan+5lnan+6lnan+7lnan+8
is​​​​​
282.

36. Find the number of permutations of the letters of the word "CONTRADICTORY" Such that neither the pattern "CON" not "RAD" nor "ORY" appears.

Answer» 36. Find the number of permutations of the letters of the word "CONTRADICTORY" Such that neither the pattern "CON" not "RAD" nor "ORY" appears.
283.

Which of the following books and authors are correctly matched?

Answer»

Which of the following books and authors are correctly matched?


284.

If you need to reinvest a part of your profit keeping the family's profit unchanged, fraction of total profit that can be reinvested is.

Answer»

If you need to reinvest a part of your profit keeping the family's profit unchanged, fraction of total profit that can be reinvested is.

285.

prove that one out of every three consecutive integer is divisible by 3

Answer» prove that one out of every three consecutive integer is divisible by 3
286.

In each question, three statements showing relationships have been given, which are followed by two conclusions I and II. Assuming that the given statements are true, find out which conclusion(s) is/are definitely true. Statements : J c P, P $ N, J pounds H Conclusions: I. J c N II. H P

Answer»

In each question, three statements showing relationships have been given, which are followed by two conclusions I and II. Assuming that the given statements are true, find out which conclusion(s) is/are definitely true.
Statements : J c P, P $ N, J pounds H
Conclusions:
I. J c N
II. H P


287.

H is one of the six horses entered the race and is to be ridden by one of two jokeys A and B. It is 2 to 1 that A rides H in which case all horses are likely to win. If B rides H his chance is trebled. Then the odds against H winning are

Answer» H is one of the six horses entered the race and is to be ridden by one of two jokeys A and B. It is 2 to 1 that A rides H in which case all horses are likely to win. If B rides H his chance is trebled. Then the odds against H winning are
288.

83 L of juice is used to fill 16 cups equally. The volume of juice in each cup will be

Answer» 83 L of juice is used to fill 16 cups equally. The volume of juice in each cup will be
289.

The product of one – third of a number and another number increased by 50%, is what percent of the product of the original numbers?

Answer» The product of one – third of a number and another number increased by 50%, is what percent of the product of the original numbers?
290.

Sum of areas of all possible pentangons formed by points A(–5,0), B(5,0), C(0,2), D(4,3),E(–4,3) is-(A) 25 sq. unit (B) 81 sq. unit (C) 17 sq. unit (D) 117 sq. unit

Answer» Sum of areas of all possible pentangons formed by points A(–5,0), B(5,0), C(0,2), D(4,3),
E(–4,3) is-
(A) 25 sq. unit (B) 81 sq. unit (C) 17 sq. unit (D) 117 sq. unit
291.

If a,b,c are the sides of a right triangle with c as the hypotenuse, prove that the radius r of the circle which touches the sides of the triangle is given by r=a+b−c2

Answer» If a,b,c are the sides of a right triangle with c as the hypotenuse, prove that the radius r of the circle which touches the sides of the triangle is given by r=a+bc2
292.

Q5. In the given figure, O is the centre of the circle, and x = 20° and y = 30°. The value of angle t is:

Answer»

Q5. In the given figure, O is the centre of the circle, and x = 20° and y = 30°. The value of angle t is:


293.

Show that the product of three positive integer is divisible by 6.

Answer» Show that the product of three positive integer is divisible by 6.
294.

Explain the statement that "state function of a system is a path independent quantity"

Answer» Explain the statement that "state function of a system is a path independent quantity"
295.

Explain geometric progression ?

Answer» Explain geometric progression ?
296.

In the given figure, the value of x is

Answer»

In the given figure, the value of x is


297.

What can be the sum of maximum points scored by the team which came 1st and the team which came last? ___

Answer» What can be the sum of maximum points scored by the team which came 1st and the team which came last?
___
298.

If D, E, and F are the mid-points of the sides BC, CA, and AB, respectively, of △ABC and the area of △ ABC is 24 cm2. Find the area of △ DEF.

Answer» If D, E, and F are the mid-points of the sides BC, CA, and AB, respectively, of ABC and the area of ABC is 24 cm2. Find the area of DEF.
299.

On Sunday, 845 people went to the zoo. On Monday, only 169 people went to the zoo. What is the percent decrease in the number of people visiting the zoo on Monday?

Answer» On Sunday, 845 people went to the zoo. On Monday, only 169 people went to the zoo. What is the percent decrease in the number of people visiting the zoo on Monday?
300.

a, b, c, d, e are positive distinct numbers a, b, c, are in AP ; c, d, e are in HP ; b, c, d are in GP , then a, c, e are in?

Answer» a, b, c, d, e are positive distinct numbers a, b, c, are in AP ; c, d, e are in HP ; b, c, d are in GP , then a, c, e are in?