Q.2449·Miscellaneous·2023·EasyIf 2s = a + b + c, then what is s^2 + (s - a)(s - b) + (s - b)(s - c) + (s - c)(s - a) equal to ?View question
Q.2450·Miscellaneous·2023·EasyA sphere of radius 5 cm is dropped in a right circular cylindrical vessel partly filled with water. The radius of the cylindrical vessel is10 cm. If the sphere is completely submerged in water, by how much will the level of water rise in the cylindrical vessel ?View question
Q.2451·Miscellaneous·2023·EasyA train completely overtakes two persons, walking in the same direction with speeds 3 km/hr and 4 km/hr in 9 seconds and 75/8 seconds respectively. What is the length of the train ?View question
Q.2452·Miscellaneous·2023·EasyConsider the following statements : 1.The angle in a sector greater than a semi-circle is less than a right angle. 2. If two sides of a pair of opposite sides of a cyclic quadrilateral are equal, then its diagonals are also equal. Which of the statements given above is/are correct?View question
Q.2453·Miscellaneous·2023·EasyA lamp shade is in the shape of a part of acone and its top and bottom ends are circles whose circumferences are respectively 30 cm and 40 cm. The perpendicular distance between the ends is 6 cm. If the cone were to be completed, then how far would its vertex be from the top end?View question
Q.2454·Miscellaneous·2023·EasyIn this section, each item consists of six sentences of a passage. The first and sixth sentences are marked as S1 and S6. The middle four sentences in each have been jumbled up and labelled as P, Q, R and S. This is followed by four options each suggesting a sequence of the sentences. Identify the most appropriate option. S1: In agriculture, water is mainly used for irrigation. S6: Hence, it is difficult to practice agriculture without assured irrigation during dry seasons. P: The large tracts of the country are deficient in rainfall and are drought prone. Q: Winter and summer seasons are more or less dry in most part of the country. R: Irrigation is needed because of spatio-temporal variability in rainfall in the country. S: North-Western India and Deccan Plateau constitute such areas. The correct sequence should beView question
Q.2455·Miscellaneous·2023·EasyEach item in this section consists of a sentence with an underlined word followed by four words or groups of words. Select the option that is opposite in meaning to the underlined word and mark your response on the Answer Sheet accordingly. Brevity is the soul of wit.View question
Q.2456·Miscellaneous·2023·EasyIf a, b and c are the sides of a right-angled triangle, where a > b > c, then what is the value of the expression (a + b + c) (a + b - c) (a - b + c) (a- b- c) ?View question
Q.2457·Miscellaneous·2023·EasyThree solid lead spheres of diameters 6 cm,8 cm and 10 cm are melted together and recast as a solid sphere. What is the percentage diminution of the surface area as compared to the sum of the surface areas of the three spheres ?View question
Q.2458·Miscellaneous·2023·EasyEach of the following items in this section consists of a sentence, parts of which have been jumbled. These parts have been labelled as P, Q, R and S. Given below each sentence has four sequences, namely (a), (b), (c) and (d). You are required to re-arrange the jumbled parts of the sentence and mark your response accordingly. P-proscribed at the slightest hint of any seditious intent Q-the Dramatic Performances Act effectively marked the end of direct R-political activism what little had been demonstrated S-in the Bengali public theatre although some plays continued to beView question
Q.2459·Miscellaneous·2023·EasyThree glasses P, Q and R have capacities in the ratio 1: 2: 3. All these glasses are completely filled with mixtures of milk and water. The ratio of milk to water in P is 1: 2,in Q it is 2: 3 and in R it is 3: 1. If the content of all three glasses are put into a bigger container, what will be the ratio of milk to water in the container ?View question
Q.2460·Miscellaneous·2023·EasyA solid sphere of radius 3 cm is melted to forma hollow cylinder of height 4 cm and external diameter 10 cm. What is the thickness of the cylinder ?View question
Q.2461·Miscellaneous·2023·EasyEach of the following items in this section consists of a sentence, parts of which have been jumbled. These parts have been labelled as P, Q, R and S. Given below each sentence has four sequences, namely (a), (b), (c) and (d). You are required to re-arrange the jumbled parts of the sentence and mark your response accordingly. P- was gradually engulfing the society with its concomitant Q-one could not overlook the diminishing religiosity which R-while plays with mythological content continued to be in vogue S-implication for the stage from the third decade of the twentieth centuryView question
Q.2462·Miscellaneous·2023·EasyEach of the following items in this section consists of a sentence, parts of which have been jumbled. These parts have been labelled as P, Q, R and S. Given below each sentence has four sequences, namely (a), (b), (c) and (d). You are required to re-arrange the jumbled parts of the sentence and mark your response accordingly. P- learning- teaching process continued seamlessly Q-but it took it in its stride, pulling through enough R-innovations to ensure that the S-the pandemic year was a challenge for the universityView question
Q.2463·Miscellaneous·2023·EasyWhat is x^2 - y^2 - z^2 - 2yz/x^2 + y^2 - z^2 + 2yz + x^2 - y^2 - z^2 - 2yz/x^2 - y^2 + z^2 - 2yz equal to ?View question
Q.2464·Miscellaneous·2023·EasyWhat is the radius of the sphere passing through the corners of the cuboid with edges8 cm, 12 cm and 24 cm?View question
Q.2465·Miscellaneous·2023·EasyIt is given that 5 does not divide n - 1, n and n + 1, where n is a positive integer. Which one of the following is correct ?View question
Q.2466·Miscellaneous·2023·EasyAn isosceles triangle has its base length 2a and its height is h. On each side of the triangle a square is drawn external to the triangle. What is the area of the figure thus formed ?View question