| JEXPO 2014 Question And Solution |
51. The ratio between the exterior angle and the interior angle of a regular polygon is 1:3. Find the number of the sides of the polygon- C) 8
52. The difference between simple interest and compound interest on a sum of Rs. 20,000 for 2 years is Rs. 112.50. What is the annual rate of interest? – B) 7.5%
53. ABCD is a rhombus in which <B=120 and BD=5cm. Find the perimeter of the rhombus ABCD.- B) 20
54. If p,q and r are the lengths of the sides of a right triangle PQR and the hypotenuse r=v2pq, then <QPR=? - B) 45
55. If a and b are the roots of the equation 2x2-5x+2=0 then (a-1)b-1 = ? where a>b – D) 1
56. A sum of money doubles itself in 3 years. How many times itself will the sum become in a period of 9 years at simple interest ? – A) 4
57. The mean proportional of a and b is 10 and the value of a is four times the value of b. Find the value of a+b (a>0 and b>0).- D) 25
58. If A = sin a + cos a and B= sin a- cos a then which of the following is true ? – C) A2+B2=2
59. Two complementary angles are in the ratio 2:3. Find the larger angle among them – B) 54
60. sin4a-cos4a= ? – C) 2sin2a-1
61. The volume of a classroom are 15ft x 10 ft x 11ft. The area of four walls is – B) 550 ft2
62. If seven times a number is added to one-fifth of itself, then five-sixth of the sum is equal to 30. Find the number.- A) 5
63. In an office 60% of the employees are women. 30% of the women employees have children and the 20% of the men employees have children. What percentages of the employees have children? – B) 26%.
64. In a two digit number, the units digits is 3 more than the tens digit. The sum of the digits is less than the original number. Find the product of the digits.- C) 10
65. A boat can travel at a speed of 8 Kmph upstream and 10 Kmph downstream. If it travels a distance of 40 Km upstream and 50 Km downstream, then the average speed of the entire journey is - Kmph.- D) 9
66. Gold and copper are heavier than water by 19 and 9 times respectively. In what proportion should gold and copper be mixed to form an alloy so that it will be heavier than water by 12 times?- D) 3:7
67. A number is increased by 8% and also decreased by 3%. If the difference of the two numbers thus obtained be 407, find the original number. - No Solution.
68. The angle subtended by a minor arc of a circle in its alternate segment is – B) obtuse
69. The number of edges in a pyramid whose base has 20 edges is – D) 40
70. A parallelogram has two of its adjacent sides measuring 13 cm each. Find the sum of the squares of its diagonals.- C) 676
71. If v2^n=1024, then 3^2(n/4-4)= ? – B) 9
72. P varies inversely with vy. If y=2 then p=40, if p=20, then find y= ? – A) v8
73. Which of the following is greatest? - B) (49)^3/2
74. If x is the measure of an angle which is equal to its complement and y is the measure of an angle which is equal to its supplement then x/y is . – C) 0.5
75. In a 100 m. race, Aloke gives Bala a start of 10m and beats him by 10m or 2 seconds. find Aloke’s speed in m/sec. – A) 6 1/4
76. If a number X is increased by 20% and then reduced by 20, it results in 160. Instead, if number X is reduced by 20% and increased by 20, then what will be the result?- A) 140
77. A sold an article to B at 10% profit. B sold it to C at 20% profit. find the price at which A bought if B’s profit is Rs. 44 (in Rs)- B) 200
78. If qr:pr:pq=1:4:7 then find p/qr:q/pr . – D) 16:1
79. A varies directly with B when C is constant and inversely with C when B is constant. A=6 when B=2 and C=3. What is the value of A when B=3 and C=18? – C) 3/2
80. The mean proportion of two numbers is 24 and their third proportion is 72. Find the sum of the two numbers.- No Solution.
81. Two boys sat for an examination. One of them got 9 marks more than the other and his marks were 56% of the sum of their marks. Find the marks scored by each. – C) 42,33
82. A is obtuse angle. The measure of <A and twice it’s supplement differ by 30. Then <A can be- B) 110
83. The length and breath of a rectangular field are 4 m and 3 m respectively. The field is divided into two parts by fencing it diagonally. find the cost of fencing at Rs. 10 per meter. – A) Rs. 50
84. Two trains are travelling in the same direction at 70 Kmph and 50 Kmph. The faster train passes a man sitting in the slower train in 36 seconds. What is the length of the faster train? – C) 200m
85. If x,y and z are in continued proportion, then (x+y+z)(x-y+z)=? – C) x2+y2+z2
86. A boy is late to his school by 20 minutes, if he travels at a speed of 4 Kmph. If he increases his speed to 6 Kmph, he is still late to his school by 10 minutes. At what speed should he travel to reach the school on time?- C) 12 Kmph
87. Anand completed one-fifth of a piece of work in 4 days. He was then assisted by Bhargav and they completed their remaining work in 8 days. Bhargav can complete the work in – days.- C) 20
88. What must be added to each of the number 3,7,8 and 16 so that the resulting numbers are in proportion? – C) 2
89. The numerator of a fraction is 1 less than the denominator. If 2 be added to the denominator, the fraction be comes 2/3. Find the friction.- 6/7
90. A sum of money at simple interest amounts to Rs. 800 in 2 years and to Rs. 1200 in 6 years. The sum is -. – A) 600
91. The population of a city increases by 20% at the end of every year. During which of the following years will the population get doubled?- D) fifth
92. If each of algebraic expressions lx2+mx+n, mx2+nx+l and nx2+lx+m are perfect squares, the (l+m)/n=?- I have no solution
93. The ratio of the present ages of Anand and Bala is 8:3. When Anand was 30 years old, Bala was 5 years old. Find the present age of Bala (in yars). – C) 15
94. A shopkeeper marks the price of an article 50% above the cost price and declares a discount of 20%. If profit obtained is Rs. 30, then find the marked price. – A) Rs. 150
95. P and Q are two cylinders having equal total surface areas. The radius of each cylinder is equal to the height of the other. The sum of the volumes of both the cylinders is 250 π cm3. find the sum of their curved surface areas. (In cm2).- B) 100 π
96. Find the sum 0.23+0.234+0.2345 corrected to three significant figures. – C) 0.699
97. The square root of x^(m^2-n^2). x^(n^2+2mn). x^(n^2) is – B) x^(m+n)^2
98. The age of a father is 25 years more than his son’s age. The product of their ages is 84 in years. what will be son’s age in years, after 10 years?- C) 13
99. If 3x-1 is a factor of the polynomial 81x^3-45x^2+3a-6 then a is – A) 8/3
100. The value of [(23+2^2)^2/3 + (140-29)^1/2]^2 is – No Solution
Solution of Question No. 1 to 50 here
Physics_Chemistry First Part Solution(Q.1 to 50)
Physics_Chemistry 2nd Part Solution (Q.51 to 100)
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