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2301.

A point (α,β), α,β∈Z is selected at random from inside of triangle formed by x+y=10 and both the co-ordinate axes. If α,β are odd integers, then the probability that both α,β are prime numbers, is

Answer»

A point (α,β), α,βZ is selected at random from inside of triangle formed by x+y=10 and both the co-ordinate axes. If α,β are odd integers, then the probability that both α,β are prime numbers, is

2302.

When a 4 digit number pqrs is multiplied by N, the 4 digit number repeats itself to give an 8 digit no. If the 4 digit number has all distinct digits then N is a multiple of:

Answer»

When a 4 digit number pqrs is multiplied by N, the 4 digit number repeats itself to give an 8 digit no. If the 4 digit number has all distinct digits then N is a multiple of:

2303.

Let f:(0,∞) and F(x)=∫x1f(t).If F(x2)=x2(1+x) then f(4) equals

Answer»

Let f:(0,) and F(x)=x1f(t).If F(x2)=x2(1+x) then f(4) equals

2304.

If the A.M of two positive number a and b (a >b) is twice their G.M, then a : b is:

Answer»

If the A.M of two positive number a and b (a >b) is twice their G.M, then a : b is:

2305.

If 3√2744=2p+2, find the value of p?6

Answer» If 32744=2p+2, find the value of p?
  1. 6
2306.

The sum of 5 consecutive numbers is 325. Find the numbers.

Answer» The sum of 5 consecutive numbers is 325. Find the numbers.
2307.

What is the ratio of number of matches played by India in Sydney to number of matches won by India in

Answer»

What is the ratio of number of matches played by India in Sydney to number of matches won by India in

2308.

Show that 7^n can't end with digit 2 for any natural no. n

Answer» Show that 7^n can't end with digit 2 for any natural no. n
2309.

70 The direction of runway on airport should be(1) Along N-S(3) Along NW-SE(2) Along E-W(4)Along NE-SW

Answer» 70 The direction of runway on airport should be(1) Along N-S(3) Along NW-SE(2) Along E-W(4)Along NE-SW
2310.

Total surface area of a cylinder whose radius is 4 cm and height is 10 cm is .

Answer»

Total surface area of a cylinder whose radius is 4 cm and height is 10 cm is .

2311.

How will 'walk' be written in a certain code? I. In this code 'morning walk is good' is written as `na pa ta sa'. II. In this code 'wish you good morning' is written as ' la na sa da.

Answer»

How will 'walk' be written in a certain code?

I. In this code 'morning walk is good' is written as `na pa ta sa'.

II. In this code 'wish you good morning' is written as ' la na sa da.


2312.

In how many of the given years were the exports more than the imports?

Answer»

In how many of the given years were the exports more than the imports?


2313.

कबीर के दोहों को साखी क्यों कहा जाता है? ज्ञात कीजिए।

Answer»

कबीर के दोहों को साखी क्यों कहा जाता है? ज्ञात कीजिए।

2314.

Number of 4 letter words starting with vowel that can be formed using letters of the word ′CHEMISTRY′ is

Answer»

Number of 4 letter words starting with vowel that can be formed using letters of the word CHEMISTRY is

2315.

What is the maximum number of times, x circles of the same size can intersect each other?

Answer»

What is the maximum number of times, x circles of the same size can intersect each other?

2316.

If 3 m+2 + 3 m−1 = 252, then m = ?

Answer»

If 3 m+2 + 3 m1 = 252, then m = ?


2317.

In the figure below, PQRS is a square. If RS = 4 units, then the area of the shaded portion (in sq. units) is:

Answer»

In the figure below, PQRS is a square. If RS = 4 units, then the area of the shaded portion (in sq. units) is:

2318.

In a competitive examination, there were 60 questions. The correct answer would carry 2 marks, and for incorrect answer 1 mark would be subtracted. Yashwant had attempted all the questions and he got total 90 marks. Then how many questions he got wrong ?

Answer» In a competitive examination, there were 60 questions. The correct answer would carry 2 marks, and for incorrect answer 1 mark would be subtracted. Yashwant had attempted all the questions and he got total 90 marks. Then how many questions he got wrong ?
2319.

Find the sum of those integers from 1 to 15000 which are multiples of 2 or 5

Answer» Find the sum of those integers from 1 to 15000 which are multiples of 2 or 5
2320.

Find the product of given numbers using box method of multiplication.a) 14 and 18b) 23 and 31

Answer» Find the product of given numbers using box method of multiplication.



a) 14 and 18

b) 23 and 31
2321.

If x=√√5+1√5−1, value of x2+x−1 is

Answer»

If x=5+151, value of x2+x1 is

2322.

If the radius of a circle increases from 5 to 5.1 cm , find the increase in area.

Answer»

If the radius of a circle increases from 5 to 5.1 cm , find the increase in area.


2323.

If |z + 4| ≤ 3, then the greatest and least values of |z + 1| are _______ and ____________.

Answer» If |z + 4| ≤ 3, then the greatest and least values of |z + 1| are _______ and ____________.
2324.

A soft drink is available in two packs−(i) a tin can with a rectangular base of length 5 cm and width 4 cm, having a height of 15 cm(ii) a plastic cylinder with a circular base of diameter 7 cm and height 10 cm. Which container has greater capacity and by how much? [Assume π=227]

Answer»

A soft drink is available in two packs−

(i) a tin can with a rectangular base of length 5 cm and width 4 cm, having a height of 15 cm

(ii) a plastic cylinder with a circular base of diameter 7 cm and height 10 cm. Which container has greater capacity and by how much?



[Assume π=227]



2325.

Q. N2(square)-1divisible by 8,if N is (A)an integer. (B)a natural number (C) an odd interger. (D)an even interger.

Answer» Q. N2(square)-1divisible by 8,if N is (A)an integer. (B)a natural number (C) an odd interger. (D)an even interger.
2326.

In a house, there are dogs, cats and parrots in the ratio3:7:5. If the number of cats was more than the number of dogs by a multiple of both 9 and 7, what is the minimum number of pets in the house?

Answer»

In a house, there are dogs, cats and parrots in the ratio3:7:5. If the number of cats was more than the number of dogs by a multiple of both 9 and 7, what is the minimum number of pets in the house?


2327.

Suddenly, it hit Jack. He realized that he still in past. What went wrong? His AYC (Analog Year Counter) calculated the median of the all the inputs to it and travelled to that year. Jack remembered that when he finally checked everything, the port of ­AYC was open. Then he realized that some random stranger must have entered some random values into it. What a small thing to miss!According to the given data set of future years, which might be Jack in then? 1700 1680 1800 1820 1760 1740 1720 1840 1780 1860

Answer»

Suddenly, it hit Jack. He realized that he still in past. What went wrong? His AYC (Analog Year Counter) calculated the median of the all the inputs to it and travelled to that year. Jack remembered that when he finally checked everything, the port of ­AYC was open. Then he realized that some random stranger must have entered some random values into it. What a small thing to miss!


According to the given data set of future years, which might be Jack in then?

1700 1680 1800 1820 1760 1740 1720 1840 1780 1860



2328.

A, B, B, C, C, C, D, D, D, D, …… 312th term in the above series is ___.

Answer» A, B, B, C, C, C, D, D, D, D, ……
312th term in the above series is ___.
2329.

31. If f(x+y)=f(x)+f(y)+c,for all real x and y and f(x) is continuous at x =0 And f'(0)=1 then f'(x)=

Answer» 31. If f(x+y)=f(x)+f(y)+c,for all real x and y and f(x) is continuous at x =0 And f'(0)=1 then f'(x)=
2330.

In a game of bridge, the probability of a particular player X having all the 13 cards of red colour is

Answer»

In a game of bridge, the probability of a particular player X having all the 13 cards of red colour is

2331.

Question 12Split 207 into three parts such that these are in AP and the product of the two smaller parts is 4623.

Answer» Question 12

Split 207 into three parts such that these are in AP and the product of the two smaller parts is 4623.
2332.

The number of different n×n symmetric matrices with each elements being either 0 or 1 is

Answer»

The number of different n×n symmetric matrices with each elements being either 0 or 1 is

2333.

The remainder obtained when 4949+5124 is divided by 25 is

Answer»

The remainder obtained when 4949+5124 is divided by 25 is


2334.

Had Ajinkya not planted any tree in month 5, by how much would his average change? ___

Answer» Had Ajinkya not planted any tree in month 5, by how much would his average change?
___
2335.

If 5 letters are placed in 5 addressed envelopes,the number of ways of placing exactly 3 wrongly is?

Answer» If 5 letters are placed in 5 addressed envelopes,the number of ways of placing exactly 3 wrongly is?
2336.

how to simplify x²-x+1 so as to find its zeroes?

Answer» how to simplify x²-x+1 so as to find its zeroes?
2337.

In the given figure, ABC is a right-angled triangle at B and EF is perpendicular on BC. If AF = 3 cm, AB =√21cm and FC = 4 cm, then EF is equal to

Answer»

In the given figure, ABC is a right-angled triangle at B and EF is perpendicular on BC. If AF = 3 cm, AB =21cm and FC = 4 cm, then EF is equal to




2338.

Find the number of solutions for the system of equations 4x + y + 2z = 5 x - 5y + 3z = 10 9x - 3y + 7z = 20

Answer»

Find the number of solutions for the system of equations
4x + y + 2z = 5
x - 5y + 3z = 10
9x - 3y + 7z = 20

2339.

(a) A point P divides the line segment joining the points A(3,−5) and B(−4,8) such that APBP=k1 . If P lies on the line x+y=0 ,then find the value of k (b). The volume of a hemisphere is 2425 12cm3. Find its CSA

Answer» (a) A point P divides the line segment joining the points A(3,5) and B(4,8) such that APBP=k1 . If P lies on the line x+y=0 ,then find the value of k

(b). The volume of a hemisphere is 2425 12cm3. Find its CSA
2340.

15. If the hupotenuse of a right angled triangle is 41cm and the area of the triangle is 180sq.cm then the difference between the lengths of the legs of the triangle must be.

Answer» 15. If the hupotenuse of a right angled triangle is 41cm and the area of the triangle is 180sq.cm then the difference between the lengths of the legs of the triangle must be.
2341.

In a rectangular park of dimensions 50 m × 40 m, a rectangular pond is constructed so that the area of grass strip of uniform width surrounding the pond would be 1184 m2. Find the length and breadth of the pond.

Answer» In a rectangular park of dimensions 50 m × 40 m, a rectangular pond is constructed so that the area of grass strip of uniform width surrounding the pond would be 1184 m2. Find the length and breadth of the pond.
2342.

29. The first and last term of an AP are a and l respectively.If s is the sum of all the terms of the AP , then the common difference of the AP is

Answer» 29. The first and last term of an AP are a and l respectively.If s is the sum of all the terms of the AP , then the common difference of the AP is
2343.

Without doing any actual division, determine which of the following are terminating decimals.a) 3/20b)7/253/13d)17/18In the second option, 7/25 is simplified as 7/5 raised to the power 2. This is a non-terminating decimal number because its prime factorisation has only 5. In the lecture, it is described as terminating decimal number. Why.

Answer» Without doing any actual division, determine which of the following are terminating decimals.
a) 3/20
b)7/25
3/13
d)17/18

In the second option, 7/25 is simplified as 7/5 raised to the power 2. This is a non-terminating decimal number because its prime factorisation has only 5. In the lecture, it is described as terminating decimal number. Why.
2344.

What would have been the total runs scored in the third match if Indian team had played 50 overs with the same average which it maintained till the overs actually played?

Answer»

What would have been the total runs scored in the third match if Indian team had played 50 overs with the same average which it maintained till the overs actually played?


2345.

What is the maximum number of times x circles of the same size can intersect each other?

Answer»

What is the maximum number of times x circles of the same size can intersect each other?

2346.

Joseph bought two varieties of rice, costing 5 cents per ounce and 6 cents per ounce each, and mixed them in some ratio. Then he sold the mixture at 7 cents per ounce, making a profit of 20 percent. What was the ratio of the mixture?

Answer»

Joseph bought two varieties of rice, costing 5 cents per ounce and 6 cents per ounce each, and mixed them in some ratio. Then he sold the mixture at 7 cents per ounce, making a profit of 20 percent. What was the ratio of the mixture?


2347.

If A = diag (1, 2, 3), then adjadj A =________________.

Answer» If A = diag (1, 2, 3), then adjadj A =________________.
2348.

If the amount is 54 of the principal at the end of 1 year, find the rate of interest.

Answer» If the amount is 54 of the principal at the end of 1 year, find the rate of interest.
2349.

A person got 20% increase in his salary. If the original salary is Rs 25,000 then the new salary is:

Answer»

A person got 20% increase in his salary. If the original salary is Rs 25,000 then the new salary is:


2350.

Q25. Consider the following Statements regarding National Flag: 1. The ratio of the length to the height (width) of the Flag shall be 1:1 2. The design of the National Flag was adopted by the Constituent Assembly of India before independence. 3. It was designed by Pingali Venkayya. Which of the above statement(s) is/are correct?

Answer»

Q25. Consider the following Statements regarding National Flag:

1. The ratio of the length to the height (width) of the Flag shall be 1:1

2. The design of the National Flag was adopted by the Constituent Assembly of India before independence.

3. It was designed by Pingali Venkayya.

Which of the above statement(s) is/are correct?