Q.595·Miscellaneous·2025·EasyThe position vectors of three points A,B and C are a,b and c respectively such that 3a - 4b + c =0. What is AB:BC equal to?View question
Q.596·Miscellaneous·2025·EasyI. The function is continuous at x = -1. II. The function is differentiable at x = 1. Which of the statements given above is/are correct?View question
Q.597·Miscellaneous·2025·EasyDirections : In this section each item consists of six sentences that comprise a passage .The first and sixth sentences are given in the beginning as S1 and S6. The sequence of the middle four sentences has been jumbled up and labelled as P, Q, R and S. You are required to find the proper sequence of the four sentences and mark your response accordingly on the answer sheet. S1: National highways connect one state with another and are of national importance. S6: These road systems are also known as primary road systems and are laid and operated under the supervision of the National Highway Authority of India. P: They are important because whereas they constitute merely two per cent of the total road networks, they nevertheless carry 40 per cent of the total road traffic. Q The road infrastructure of the country is therefore crucial, and their construction and maintenance is of critical importance. R: They bear the load of traffic because these roads connect long distances and pass through major cities and towns. S: Since they cover the length and breadth of the nation and connect cities and towns, these highways are the primary facilitators of trade and connectivity.View question
Q.598·Miscellaneous·2025·EasyDirections : In this section each item consists of six sentences that comprise a passage .The first and sixth sentences are given in the beginning as S1 and S6. The sequence of the middle four sentences has been jumbled up and labelled as P, Q, R and S. You are required to find the proper sequence of the four sentences and mark your response accordingly on the answer sheet. S1: The South African Constitution was inaugurated in December 1996. S6: A special constitutional court enforces the rights enshrined in the Constitution. P: Its creation and promulgation took place at a time when South Africа still faced the threat of a civil war after the dissolution of the Apartheid Government. Q: The South African Constitution says that its "Bill of Rights is a cornerstone of democracy in South Africa." R: Apropos, it forbids discrimination on the grounds of "race, gender, pregnancy, marital status, ethnic or social origin, colour, age, disability, religion, conscience, belief, culture, language and birth". S: The Bill of Rights grants perhaps the most extensive range of rights to the citizens.View question
Q.599·Miscellaneous·2025·EasyWhich of the following main industry/ industries was/were developed in the second industrial revolution that took place after about 1850?View question
Q.600·Miscellaneous·2025·EasyIf p and q are real numbers between 0 and 1 such that the points (p,1),(1,q) and (0,0) form an equilateral triangle, then what is (p+q) equal to?View question
Q.601·Miscellaneous·2025·EasyThe function f(x) satisfies f(y)f(x)=yx for all positive real values of x and y, and f(2)=3. What is f(16) equal to?View question
Q.602·Miscellaneous·2025·EasyA square is inscribed in a circle x2+y2+2x+2y+1=0 and its sides are parallel to coordinate axes. Which one of the following is a vertex of the square?View question
Q.603·Miscellaneous·2025·EasyIdentify the most appropriate discourse marker/expression and mark your answer: _________ ,the problem is nothing but a wrong assumption about process.View question
Q.604·Miscellaneous·2025·EasyConsider the following statements : I. f is one-one function. II. f is onto function if the codomain is the set of natural numbers. Which of the statements given above is/are correct?View question
Q.605·Miscellaneous·2025·EasyThe slope of the tangent to the curve y=f(x) at (x,f(x)) is 4 for every real number x and the curve passes through the origin. What is the nature of the curve? What is the nature of the curve?View question
Q.606·Miscellaneous·2025·EasyThe function f(x) satisfies f(y)f(x)=yx for all positive real values of x and y, and f(2)=3. What is f(1)/f(4) equal to?View question
Q.607·Miscellaneous·2025·EasyThe vertices of a triangle are A(1,1), B(0,0) and C(2,0). The angular bisectors of the triangle meet at P. What are the coordinates of P?View question
Q.608·Miscellaneous·2025·EasyWhat is the number of positive integer solutions of x+y+z=5?View question
Q.609·Miscellaneous·2025·EasyIn how many ways can the letters of the word DELHI be arranged keeping the positions of vowels and consonants unchanged?View question
Q.610·Miscellaneous·2025·EasyHeight (in cm) Number of Students 160-162 12 162-164 15 164-166 24 166-168 13 What is the median height of the class?View question
Q.611·Miscellaneous·2025·EasyLet ABC be a triangle right-angled at B and AB + AC = 3 units. What is the maximum area of the triangle?View question
Q.612·Miscellaneous·2025·EasyWhich among the following materials was used in making the Harappan seals ?View question