Question 1 :
If A is a relation on a set R, then which one of the following is correct?
Question 4 :
What is the equation of straight line passing through the point (4, 3) and making equal intercepts on the coordinate axes?
Question 5 :
<b>Consider the following for the next two (02) items that follow:</b> <br> <br> The sixth term of an AP is 2 and its common difference is greater than 1. <br> <br><br>What is the common difference of the AP so that the product of the first, fourth and fifth terms is greatest?
Question 6 : Consider the following statements : <br> <img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/NDA/5ec500935b3cce5821093968"> <br> <br> Which of the above statements is/are correct?
Question 8 : Consider the function <br> <img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/NDA/5ec500caad67be491aba707b"> <br><br>What is the maximum value of the function?
Question 10 :
What is the equation of the line through (1, 2) so that the segment of the line intercepted between the axes is bisected at this point?
Question 11 :
Given that C(n, r) : C(n, r + 1) = 1 : 2 and C(n, r + 1) : C(n, r + 2) = 2 : 3. <br>What is n equal to?
Question 12 : What is <img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/NDA/5ec502caad67be491aba7366"> equal to (where [.] is the greatest integer function)? <br>
Question 13 :
The number of 3-digit even number that can be formed from the digits 0, 1, 2, 3, 4 and 5, repetition of digits being not allowed, is
Question 14 : If A is a square matrix, then what is adj <img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/NDA/5ec50175ad67be491aba7185"> equal to?
Question 17 :
Seven unbiased coins are tossed 128 times. In how many throws would you find at least three heads?
Question 18 :
A straight line cuts off an intercept of 2 units on the positive direction of x-axis and passes through the point (–3, 5). What is the foot of the perpendicular drawn from the point (3, 3) on this line?
Question 19 : What is the derivative of the function <br> <img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/NDA/5ec502ccad67be491aba736c">
Question 20 : If <img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/NDA/5ec50197b9a14448a40b9c32">, then what is the value of the determinant of m cos θ – n sin θ ?
Question 21 :
If the point (a, a) lies between the lines |x + y| = 2, then which one of the following is correct?
Question 22 : <img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/NDA/5ec6296aaf172b04d746c153"> <br>The number of terms in x –y is
Question 23 : What are the order and degree, respectively, of the differential equal <img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/NDA/5ec502d75bf68757b5fb89c0">
Question 24 : Consider the following statements : <br> <img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/NDA/5ec50171b9a14448a40b9c02"> <br> Which of the above statements is/are correct?
Question 25 :
How many geometric progressions is/are possible containing 27, 8 and 12 as three of its/their terms?
Question 26 :
How many words can be formed using all the letters of the word ‘NATION’ so that all the three vowels should never come together?
Question 27 : <img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/NDA/5ec6297aee5c6e2f33eea9a1"> <br> <br>Maximum value of a sinx + b cosx is
Question 28 : Let <img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/NDA/5ec5022dad67be491aba7287"> Then which one of the following is correct?
Question 29 : The equation of the line joining the origin to the point of intersection of the lines <img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/NDA/5ec500bcb9a14448a40b9b08">=1 is
Question 31 :
The lengths of the intercepts on the co-ordinate axes made by the plane 5x + 2y + z – 13 = 0 are
Question 32 :
If any two adjacent rows or columns of a determinant are interchanged in position, the value of the determinant:
Question 33 :
For what value of k, the equations 3x – y = 8 and 9x – ky = 24 will have infinitely many solutions?
Question 34 :
A problem in statistics is given to three students A, B and C whose chances of solving it independently are 1/2, 1/3 and 1/4 respectively. The probability that the problem will be solved is
Question 35 :
A straight line passes through (1, –2, 3) and perpendicular to the plane 2x + 3y – z = 7. <br>What are the direction ratios of normal to plane?
Question 36 :
If P(not A) = 0.7, P(B) = 0.7 and P (B/A) = 0.5 then P (A∪B). is
Question 37 : A force <img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/NDA/5ec500d7b9a14448a40b9b58"> is applied at the point P, whose position vector is <img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/NDA/5ec500d7ad67be491aba70a2">What is the magnitude of the moment of the force about the origin?
Question 38 : <b> Consider the following for the next three (03) items that follow: </b> <br> <br> <img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/NDA/5ec501b8b9a14448a40b9c98"> <br> <br><br>Which of the following statements are correct? <br> 1. g(x) is continuous at x = 0. <br> 2. g(x) is continuous at x = 2. <br> 3. g(x) is continuous at x = 1. <br> Select the correct answer using the code given below:
Question 39 : Consider the following statements : <br> <img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/NDA/5ec50178ad67be491aba718c"> <br> Which of the above statements is/are correct?
Question 42 : <img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/NDA/5ec62a5355c01f053dd7adae"> <br> What is the slope of the tangent to the curve at (0 ,1)? <br>
Question 44 : Consider the curves <br> <img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/NDA/5ec501405bf68757b5fb8807"> <br><br>Where do the curves intersect?
Question 46 :
The area of a triangle, whose vertices are (3, 4), (5, 2) and the point of intersection of the lines x = a and y = 5, is 3 square units. What is the value of a?
Question 47 :
If A is any matrix, then the product AA is defined only when A is a matrix of order m × n where:
Question 48 :
If a circle of radius b units with centre at (0, b) touches the line y = x –√2, then what is the value of b?
Question 51 :
Which one of the following statements is correct in respect of the function f(x) = x³ sin x ?
