51. Consider the volumes of the following objects and arrange them in decreasing order:
i. A parallelepiped of length 5 cm, breadth 3 cm and height 4 cm
ii. A cube of each side 4 cm.
iii. A cylinder of radius 3 cm and length 3 cm
iv. A sphere of radius 3 cm
52. If x satisfies the inequality $$|x - 1| + |x - 2| + |x - 3| \geq 6$$, then:
53. A five digit number divisible by 3 is to be formed using the numerals 0, 1, 2, 3, 4 and 5 without repetition. The total number of ways in which this can be done is:
54. If 2, a, b, c, d, e, f and 65 form an arithmetic progression, find out the value of ‘e’.
55. A contract is to be completed in 56 days and 104 men are set to work. Each working 8 hours a day, after 30 days, 2/5th of the work is finished. How many additional men may be employed so that work may be completed on time, each man now working 9 hours per day?
56. A bag contains 8 red and 6 blue balls. If 5 balls are drawn at random, what is the probability that 3 of them are red and 2 are blue?
57. In a circle, the height of an arc is 21 cm and the diameter is 84 cm. Find the chord of ‘half of the arc’
58. Mr. and Mrs. Gupta have three children - Pratik, Writtik and Kajol, all of whom were born in different cities. Pratik is 2 years elder to Writtik. Mr. Gupta was 30 years of age when Kajol was born in Hyderabad, while Mrs. Gupta was 28 years of age when Writtik was born in Bangalore. If Kajol was 5 years of age when Pratik was born in Mumbai, then what were the ages of Mr. and Mrs. Gupta respectively at the time of Pratik’s birth?
59. Mr. Sinha received a certain amount of money by winning a lottery contest. He purchased a new vehicle with 40 percent of the money received. He then gave 20 percent of the remaining amount to each of his two sons for investing in their business. Thereafter, Mr. Sinha spent half of the remaining amount for renovation of his house. One-fourth of the remaining amount was then used for purchasing a LCD TV and the remaining amount - Rs. 1,35,000/- was deposited in a bank. What was the amount of his cash prize?
60. The ratio of number of male and female journalists in a newspaper office is 5:4. The newspaper has two sections, political and sports. If 30 percent of the male journalists and 40 percent of the female journalists are covering political news, what percentage of the journalists (approx.) in the newspaper is currently involved in sports reporting?
61. The ratio of ‘metal 1’ and ‘metal 2’ in alloy ‘A’ is 3 :4. In alloy ‘B’ same metals are mixed in the ratio 5:8. If 26 kg of alloy ‘B’ and 14 kg of alloy ‘A’ are mixed then find out the ratio of ‘metal 1’ and ‘metal 2’ in the new alloy.
62.
Answer the following questions based on the Diagram below, which reports Country XX’s monthly Outward Investment flows to various countries and the World. The FDI figures are reported US$ Million.What is the compound average growth rate of Country XX’s overall Outward Investment during the period January 2011 and May 2011?
63. In which month Country XX’s Outward Investment to Singapore dropped most and what is the ‘month on month’ growth in that period?
64. What is the share of Country XX’s Outward Investment together in USA and UK in February 2011 of its total investment in the world?
65. In which month the share of Country XX’s total Outward Investment together in Singapore and UAE achieved the highest level and what is the value?
66. Between February 2011 and April 2011, to which country did Outward Investment from XX witness the highest decline?
67.
Answer the following questions based on the table below, which reports certain data series from National Accounts Statistics of India at Current Prices.
The GDP is sum total of the contributions from primary sector, secondary sector and the tertiary sector. If that be the case, then over 2004-05 to 2009-10, the share of tertiary sector at factor cost in GDP has increased from:
68. The annual growth rate in the GNP series at factor cost was highest between;
69. Had Gross Domestic Savings (GDS) between 2008-09 and 2009-10 increased by 30 percent, then during 2009-10 GDS expressed as a percentage of GDP at market prices would have been:
70. Mark the highest figure from the following:
71.
Answer the following questions based on the table below, which reports global market share of Leading Exporting and Importing countries for Select Product groups.
Identify the highest number:
72. Mark the correct statement:
73. If between 2000 and 2009, India’s export market share in Integrated Circuits and Electronic Components had increased by 600 percent, the rank of the country in terms of market share in 2009 would have been:
74. Considering both global export and import market dynamics, China has witnessed highest percentage change in its market share between 2000 and 2009 in the following product groups:
75. Suppose the ten countries reported in the above table are arranged according to their continent: North America, EU and Asia. Then in terms of export market share for (i) Chemical Products, (ii) Automotive Products, (iii) Office and Telecom Equipment Products and (iv) Integrated Circuits and Electronic Components respectively, the continent-wise ranking in 2009 would be:
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What is the compound average growth rate of Country XX’s overall Outward Investment during the period January 2011 and May 2011?
The GDP is sum total of the contributions from primary sector, secondary sector and the tertiary sector. If that be the case, then over 2004-05 to 2009-10, the share of tertiary sector at factor cost in GDP has increased from:
Identify the highest number:
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