SPI Entrance Examination 2022 question paper

150 questions · 150 marks · 180 minutes · +1 per correct answer, -0.5 per wrong one

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Sit it as a timed mock

Part 1: Mathematical Ability

75 questions

1 $What will be the sum of adding all the possible three digit numbers formed by 7,2,5 using each digit only once?$
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2 $\dfrac{\sqrt{2.89} + \sqrt{2.25} - \sqrt{1.69}}{\sqrt{0.000361}} = ?$
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3 $The average of 11.03, 12.14, 13.09 and x is 12.57, then x=?$
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4 $A water tank with length 400cm, breadth 1.5m and height 40 inches, is to be filled completely with water using a bucket of capacity 8 litres. Wastage due to spilling is 10%. How many buckets of water will be required to fill the tank?$
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5 $If two congruent isosceles triangles are joined along one of the sides, figure formed will be____.$
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6 $If measure of an angle is four times the measure of its supplementary angle, then measure of the angle is____deg.$
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7 $At what time will the angle between hour hand and minute hand of a clock be 30 degrees?$
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8 $Line AB, line CD, line LM, line ST and line EF intersect each other at distinct points as shown in the figure. Find the number of pairs of opposite rays formed.$
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9 $In the number 5$436$2, the same digit occurs in place of $. The difference between their place values is 699930, then value of $ in this number is____.$
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10 $If (3+2p) and (5+3q) are digits in the thousands and tens place respectively, of number 94123 then values of p and q are____.$
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11 $____ is an irrational number.$
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12 $The difference between simple interest and compound interest on Rs5000/- for two years at 12% per year is Rs____/.$
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13 $A certain sum amounts to Rs9261/- in two years and to Rs9724.05/- in three years at a certain rate of compound interest per annum, then the principal is Rs____/- and the rate of interest is ____%.$
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14 $A train moving at 45 miles per hour, crosses another train moving at 27 km per hour, in the same direction, in 20 seconds. The faster train is 100m in length. Then the length of the slower train is ____ m.$
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15 $There are three types of milks. The ratio of fat to the proteins in these three are 4:5, 5:6 and 6:7. If all the three types of milks are mixed in equal quantity, the ratio of protein to fat will be____.$
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16 $Deepak, Sanju and Kunal working together can finish a work in one day. Deepak is thrice efficient as Sanju. Sanju takes twice the number of days as Kunal takes alone. What is the difference between number of days taken by Deepak and Kunal, each working alone to complete the work?$
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17 $The given figure in the question has five squares and four equilateral triangles. Two squares and two triangles are shaded. The figure is folded along the dividing lines the squares by 90deg and triangles by 45deg so as to form a closed three dimensional object. The object is then placed with it's apex pointing towards your left. Which one among the figures given in the alternative can be seen?$
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18 $A group of five persons, namely Yaser, Seema, Dattu, Anand and Farhan are traveling together in a bus. Yaser's age is half that of Anand. Dattu's is one and half times that of Farhan. Yaser's age is one and half times that of Seema and Seema is 12 years elder to Dattu. The difference between Anand's age and that of Seema is 60 years. Then Farhan is ____ years old.$
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19 $The cost of carpeting, 20m long room is Rs40/. Had the breadth been 3m less, the cost would have been Rs25/-. The area of the room is ____sq m.$
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20 $If from a pack of 52 cards, two cards are drawn together, at random, the probability of both cards being queens is ____.$
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21 $For what value of n, the *n*th term of an arithmetic progressions 63, 65, 67... and 3, 10, 17... are equal?$
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22 $Find the value of x in the series 5, 3, 10, 8, 17, 15,x , 24.$
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Answer the following three questions based on the given Venn diagram. In a class of 500 students, the given Venn diagram represents only those students who got distinction in Physics, Chemistry and Mathematics:-
23 $How many students secured distinction in both Physics and Mathematics but not in Chemistry.$
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24 $From this group of students with distinction what is the percentage of students who got distinction in all the three subjects?$
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25 $What is the percentage of students who got distinction in only one subject among these 200 students?$
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26 $Renu travels to her school on a bicycle. While going, her average speed is 50% greater than her average speed while returning due to the traffic. She also takes 50% more time on her way back than while going to the school. How much more or less is Renu's average speed for the entire day, than her average speed while going to the school?$
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27 $If p, q and r are three unequal numbers such that p, q and r are in arithmetic progression and p, (r-q) and (q-p) are in geometric progression then p : q : r is equal to____.$
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28 $237: 1728 :: 412 : ?$
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29 $Complete the series 6,18,72, ?, 2160.$
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Find out the wrong term in the given series in the next three questions.
30 $5, 10, 17, 26, 36, 50.$
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31 $23, 34, 49, 64, 83, 106, 135, 166.$
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32 $7, 12, 17, 22, 27, 32, 37, 41, 47, 52$
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33 $A train leaves A at 60km/h for B at 1:00pm. Another train leaves from B at 1:30pm for A. They cross each other at 11:00pm. Therefore, the distance between A and B is____km.$
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34 $64 : 2 :: 87 : ?$
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35 $p\Big[\left(1+\frac{1}{p}\right)\left(1+\frac{1}{p+1}\right)\left(1+\frac{1}{p+2}\right)-1=?$
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36 $Vijay wanted to type the first 200 natural numbers on a keyboard of a computer, without any gaps between the numbers, then how many times does he have to press the keys?$
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37 $Which number is the greatest among the given alternatives.$
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Answer the next three questions based on the diagram given here. The diagram represents students of a school. Circle shows those who are artists. Triangle shows those who are good at sports. Rectangle represents those who are good at studies.
38 $Students who are artist and good at studies, but not good at sports are represented by ____.$
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39 $There is an inter school event, involving a few outdoor games and a drawing competition. The teacher should select the team from ____.$
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40 $In the same event, as given in the previous question, due to the limited funds a small team is required to be sent, so as to save maximum money. The teacher should select the team from ____.$
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41 $\div$
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42 $The ratio of the volumes of two spheres is 27:64. If sum of their radii is 28cm, then the difference in their diameters is ____cm.$
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43 $Dimensions of a cuboid are 33cm x 18cm x 8cm. If this cuboid is melted to mint coins of diameter 6cm and thickness of 0.2cm then____coins can be obtained.$
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44 $m\angle AOX + m\angle XOY = m\angle XOY + m\angle YOZ = 90^\circ$
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45 $In the following five questions find out odd number or odd set of numbers from the given options.$
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46 $In the following five questions find out odd number or odd set of numbers from the given options.$
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47 $In the following five questions find out odd number or odd set of numbers from the given options.$
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48 $In the following five questions find out odd number or odd set of numbers from the given options.$
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49 $In the following five questions find out odd number or odd set of numbers from the given options.$
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50 $In the following five questions find out odd number or odd set of numbers from the given options.$
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51 $There are ____ triangles in the figure.$
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Answer the next four questions based on the information given below A cube, with each being 10cm is painted in such a manner that red is opposite black. Green is between red and black. Blue is adjacent to white. Pink is adjacent to blue and red is at bottom. Rates of painting different colours per square inch are:- red ₹2/-, black, white and blue ₹3/-, green and pink ₹4/-.
52 $Pink side is opposite ____ colour.$
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53 $Which colour side is not touching the green side?$
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54 $If the cube is to be painted again but only from sides, then the expenditure will be ₹____.$
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55 $If the complete cube is to be painted in white, the expenditure will be ₹____.$
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56 $The sum of heights of three persons is 5.4m. When the shortest person stands on a box of height 30cm, he is taller than the middle person by the same length by which he is shorter than the tallest person. Height of the shortest person is ____cm.$
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57 $If a clock takes 5 seconds to strike five, it will take ____seconds to strike nine.$
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58 $A farmer divided his 32 acres of land amongst his two son's and a daughter in such a manner that the elder son got 3 acres land more than the younger son. The daughter was given 2 acres of land more than the elder son. So the daughter got____acres.$
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Based on the information given, answer the following four questions. P, Q, R, S, T, U, V and W are the seven members of a family. There are three female members. Each of them has a different profession- Lawyer, Chartered Accountant (CA), Engineer, Teacher, Doctor, Architect and Pharmacist. No lady is either Pharmacist or CA. Each of them has a different monthly income. The CA earns the most. S, the Engineer earns less than V, the doctor. R, the teacher earns more than P and less than S. W's wife earns the least. T is unmarried lady lawyer and she earns less than P and more than only Q. The Pharmacist's income is not the lowest.
59 $____,____and ____represent the female members of the family.$
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60 $____ earns the least.$
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61 $How many members earn less than the Doctor?$
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62 $P is a ____.$
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63 $m\angle ACD$
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64 $In a group of cows and hens, the number of legs are 14 more than twice the number of heads. Then there are ____ cows.$
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65 $How many numbers between 11 and 50 are there which are exactly divisible by 7 but not exactly divisible by 3?$
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66 $a + b + c = 0$
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67 $\left[\left(x^{y+1}\right)^{\frac{y^2}{y^2-1}}\right]^{1-\frac{1}{y}} = ?$
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68 $\frac{a}{b+c} = \frac{b}{a+c} = \frac{c}{a+b}$
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69 $The area of regular hexagon of side 4m is ____.$
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70 $What is the arithmetic mean of the squares of the first six whole numbers?$
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71 $In this figure PQRS is a cyclic quadrilateral. Sides PS and QR are extended to meet at B. Then following statement is true.$
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72 $Two dice are thrown simultaneously . What is the probability of getting two numbers whose product is even?$
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73 $The third vertex of a triangle, if two of its vertices are (5,2) and (-1,4) and its medians intersect at (0,-3) is ____.$
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74 $The sum of first fifteen multiples of 8 is ____.$
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75 $Angles of elevation of the top of a tower from two points at distance 'a' and distance 'b' from base and in same straight line with the tower, are complementary. The height of the tower is ____.$
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Part 2: General Ability Test

75 questions

Given below are pairs of districts of Maharashtra, which are separated by prominent rivers. You are required to identify the rivers from the options.
76 $Ahmednagar and Beed.$
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77 $Chandrapur and Gadchiroli.$
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78 $Raigad and Ratnagiri.$
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79 $Dhule and Jalgaon.$
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80 $Pune and Satara.$
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81 $Which of the following four graphs represent(s) motion at constant speed?$
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82 $A machine gun has mass 4kg. It fires 50g bullets at the rate of 30 bullets per minute at muzzle velocity of 400m/ sec. What force is required to keep gun in position?$
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83 $The ratio of SI to cgs units of force is 1: ____.$
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84 $\text{m}^3$
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85 $The time period of a geo-stationary satellite is ____.$
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86 $The weakest force of interaction is ____.$
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87 $A monkey was seen jumping up from ground level on to a branch 2.5m high. The initial velocity of the monkey is____ m/s.$
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88 $One joule of work is equal to____erg.$
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89 $Escape velocity of earth is____ m/s.$
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90 $LIGO is a ____.$
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91 $6 \times 10^{24}$
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92 $With 400kcal of heat energy, the temperature of 5litres of water at 10deg C, can be raised by____deg.$
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93 $When two or more reactants in a reaction, form a single product, it is called____ reaction.$
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94 $Within a period of the periodic table, while going from left to right, the outermost shell____ and atomic radius____.$
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95 $Rancidity of food cooked in oil or ghee is due to____reaction. It can be prevented by using____.$
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96 $Identify the compounds shown in figures given below$
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97 $Identify the compounds shown in figures given below$
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98 $The process of soaking bauxite, the aluminium ore, in aqueous NaOH, to separate alumina is called____.$
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99 $Boiling point of ethanol is____degrees.$
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100 $In polymer Teflon, the constituent monomer is____.$
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101 $The credit for discovering an environment friendly cost effective method to deal with oil spill by using oil digesting, fast multiplying bacteriagoes to____.$
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102 $Therapeutic cloning is based on ____.$
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103 $____ is the pioneer of the modern day, five kingdom classification system of multicellular animals.$
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104 $____species are the species whose number of organisms is considerably declined. Organisms of these species, like red panda or musk deer, being endemic may become extinct very fast.$
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105 $Carbon dating method was developed by ____.$
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106 $The Election Commission has been established under Article____of the Indian Constitution.$
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107 $To be recognised as a national political party, amongst other conditions, it should also secure ____% of valid votes in____ or more states in earlier Loksabha or State Assembly elections.$
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108 $____is also known as Waterman of India.$
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109 $The equivalent rank to Major, in the Indian Air Force, is____.$
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110 $The immediate higher rank to the rank of Commander of Indian Navy is____.$
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111 $The Department of Military Affairs of the Ministry of Defence is generally headed by the____.$
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112 $The Brahmos missile is a____missile.$
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113 $____, in his book ‘Archaeology of Knowledge’ insisted on not giving the history only in chronological order.$
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114 $The copper plate found at Sohagaura in Gorakhpur District of UP, is supposed to be from____period.$
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115 $’Bharat Itihas Sanshodhak Mandal’ was founded by____on 07 July 1910.$
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116 $Applied History is also known as ____History.$
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117 $____ is a monolithic sculpture.$
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118 $Television serial ‘Bharat Ek Khoj’ was based on ‘Discovery of India’, a book written by Shri____.$
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119 $The famous painting ‘Monalisa’ is displayed at____Museum in France.$
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120 $Shri Sundarlal Bahuguna was mainly associated with____ movement.$
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121 $APPLE, the first completely indigenous built satellite ISRO, was launched in year____.$
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122 $Minimum age to be a member of Legislative Council is____years.$
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123 $Article____lays down the Directive Principles of State Policy.$
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124 $____ is part of international group of BRICS.$
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125 $There are____ judges in the International Court of Justice located at the Hauge in the Netherlands.$
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This passage is taken from Mr Jim Corbett's book called 'My India'. In this book, the author narrates, through different stories, the life of common Indians about a century ago or so. This particular passage, with a few minor changes, is taken from a chapter titled 'The Law of the Jungle'. A hardworking couple, Kunthi and Harkwar, has lost their two young children for more than three days, from their hut next to a jungle. Read the passage and answer the questions based on it. Harkwar was sitting at the door of his hut staring into the darkening night, in which points of light were beginning to appear as a lantern or cooking fire was lit here and there, when he saw a small crowd of people appearing from the direction of the bazaar. At the head of the procession, a man was walking, carrying something on his shoulders. From all sides, people were converging on the procession and he could hear an excited murmur of 'Harkwar's children'. Harkwar's children! He could not believe his ears, and yet there appeared to be no mistake, for the procession was coming straight towards his hut. Kunthi, having reached the limit of her misery and of her physical endurance, had fallen asleep curled up in a corner of the hut. Harkwar shook her awake and got her to the door just as the herdsman carrying Punwa and Putali reached it. Putali was beyond speech but Punwa was able to talk a little, and all the explanation he could give for their being in the jungle was that they had been playing and had got lost. When tearful greetings, blessings and thanks for the rescuer, and congratulations of friends had partly subsided, the question of the reward, the herdsman had earned, was mooted. To a poor man, fifty rupees was wealth untold, and with it, the herdsman could buy three buffaloes, or ten cows, and be independent for life. But the rescuer was a better man than the crowd gave him credit for. The blessings and thanks that had been showered on his head that night, he said, was reward enough for him, and he stoutly refused to touch one pice (paisa) of the fifty rupees. Nor would Harkwar or Kunthi accept the reward either as a gift or loan. They had got the children they had lost all hope of ever seeing again, and would resume work as their strength returned. The children were lost at midday on Friday and were found by the herdsman at about 5 p.m. on Monday, a matter of seventy seven hours. It would be unreasonable to assume that none of the animals or birds saw, heard or smelt the children. And yet, when the herdsman put Putali and Punwa into their parents' arms, there was not a single mark of tooth or claw on them. When Hitler's war was nearing its end, in one week I read extracts from speeches of three of the greatest men in the British Empire, condemning war atrocities, and accusing the enemy of attempting to introduce the 'law of the jungle'. Had the Creator made the same law for man as He has made for the jungle folks, there would have been no wars for the strong man would have the same consideration for the weak as is the established law of the jungles.
126 $Among the children who is likely to be elder?$
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127 $The award must have been offered by ____.$
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128 $The herdsman refused to take award because ____.$
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129 $How had the children got lost?$
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130 $What was Harkwar's reaction when he heard the procession coming towards his hut?$
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131 $The parents had lost hope on getting his children back, is indicated through the phrase :-$
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132 $Synonym for atrocities is ____.$
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133 $What does the author imply by " ...Had the Creater made the same law for man as He has made for the jungle folks, there would have been no wars for the strong man would have the same consideration for weak as is the established law of the jungles."$
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134 $Antonym for misery is____.$
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135 $What are the points of lights author referring to?$
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Spot the error in the given sentence in each of the next five questions. The sentence is divided into three parts. These are indicated by [a], [b] and [c]. One of these three parts may contain an error. You need to identify that particular part and mark your answer accordingly. If there is no error then mark [d].
136 $[a] One particular Friday, when Harkwar and Kunthi returned to their hut [b] after making their modest purchases of vegetables and a pound of goat's meat [c] Punwa and Putali had not at the hut to welcome them.$
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137 $[a] At the time Harkwar and Kunthi and their two children took up their [b] residence in the hut, there were in that forest , to my knowledge [c] five tigers, eight leopards, a family of four sloth bears, two Himalayan black bears, a number of hyenas, a pair of three wild dogs, numerous jackals and foxes and pythons.$
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138 $[a] One day, they left their native village and carrying their few possessions, [b] set up home in a hut placed at their disposal by an uncle of Harkwar's, in a [c] village three miles from the cantonment of Ranikhet.$
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139 $[a] When the day's work was done, the family walked back [b] in the twilight to the hut and with the dry sticks the younger children had colleted [c] at their elders' absence, the evening meal was cooked and eaten.$
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140 $[a] Friday was fair day in Kaladhungi and on that day everyone from [b] the surrounding villages made it a point to visit the bazaar where booths had [c] erected for display of food, fruit and vegetables at concessional rates.$
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Next five questions have a word or a group of words underlined. Three alternatives are suggested for this underlined word or the group of the words. Choose the most appropriate alternative to improve the sentence. If there is no improvement then choose (d).
141 $The player alongwith his supporters were sent to the hall.$
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142 $I hadn't gone to my office for I am sick.$
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143 $I knew that Girish had not broken the glass door.$
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144 $The castle was constructed by the king many years ago, hence it could not be modified now.$
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145 $The boxing bout was over even before the the spectators had settled down in their seats.$
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The next five questions consist of a sentence, the parts of which have been jumbled. These parts have been labelled P, Q, R and S. Given below each sentence are four alternatives. You are required to rearrange the jumbled sentence and select your response from the given alternative. If the correct alternative is not there, in that case choose option (d) None of these.
146 $though his letter later proved very useful [P]/ but got no immediate reply[Q]/ in getting the charges against Mr Bishwanath dropped [R]/ Mr Kamdar wrote letter to the Government stating the facts of the case[S].$
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147 $and fading light as well as a constant fear[P]/ the river we were about to cross was very wide with very swift current [Q]/ added further to our discomfort [R]/ of being spotted by the enemy patrol or their snipers [S].$
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148 $he wished he was anywhere else but in that train compartment [P]/ yet the weather and company which Mr Ritesh Vasudev [Q] / had to bear with, not only made him feel sick but also [R] / the journey by itself was neither too long nor too boring [S].$
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149 $throughout the country[P] / of the Peshwa was renowned for[Q]/ Shri Ramshastri Prabhune, the Chief Judicial Official [R] / impartiality and truthfulness [S].$
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150 $to have some malfunction [P]/ when the first officer noticed an emergency light going off [Q]/ the aeroplane was about to take off [R]/ indicating that the left engine was suspected[S]$
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