Sainik Dussehra Holiday Homework 2024 PDF

# DUSSEHRA HOLIDAY HOMEWORK-2024 ## Shiney Sainik Entrance - Practice Test 2 ### Name: ### Date: ## SECTION-A: MATHEMATICS 1. If the cube of a number is added to the square of 32, then the result is 2355. What is the number? * (a) 9 * (b) 10 * (c) 11 * (d) 12 2. What is the sma...

# DUSSEHRA HOLIDAY HOMEWORK-2024 ## Shiney Sainik Entrance - Practice Test 2 ### Name: ### Date: ## SECTION-A: MATHEMATICS 1. If the cube of a number is added to the square of 32, then the result is 2355. What is the number? * (a) 9 * (b) 10 * (c) 11 * (d) 12 2. What is the smallest 3-digit prime number? * (a) 101 * (b) 103 * (c) 107 * (d) 109 3. Arrange the following fractions in ascending order * 2/5 * 7/10 * 8/15 * 13/30 * (a) 2/5, 7/10, 8/15, 13/30 * (b) 7/10, 8/15, 2/5, 13/30 * (c) 2/5, 8/15, 13/30, 7/10 * (d) 2/5, 13/30, 8/15, 7/10 4. The sum of the face value and the place value of 5 in 7125421 is * (a) 505 * (b) 5005 * (c) 50005 * (d) None of these 5. Simplify: (2^-1) + [1/3] + 3/4 of 2 * (a) 2 1/3 * (b) 2 2/3 * (c) 2 3/10 * (d) 2 7/8 6. Find the square of (4/7 + 2/3 + 2/7 ) * (a) 196/64 * (b) 225/81 * (c) 525/169 * (d) 625/196 7. If (5x-4)/(x-3) = (x + 6)/4, then the value of x is * (a) 7 * (b) 8 * (c) 9 * (d) 10 8. Write 454 in Roman numeral * (a) CDLIV * (b) CDILV * (c) CDLVI * (d) LDCIV 9. M is the smallest 4-digit number which when divided by 4, 5, 6 and 7 leaves remainders as 2, 3, 4 and 5 respectively. What will be the remainder if M is divided by 9? * (a) 3 * (b) 5 * (c) 7 * (d) 8 10. 1/10 of a rod is coloured red, 20/100 orange, 30/100 yellow 40/100 green, 50/100 blue, 60/100 black and the rest in violet. If the length of the violet portion of the rod is 12.08 metres, then the length of the rod is * (a) 30 m * (b) 20 m * (c) 18 m * (d) 16 m 11. The product of two numbers is 2,560 and their L.C.M. is 320. Find their H.C.F * (a) 6 * (b) 8 * (c) 12 * (d) 16 12. Ram and Shyam working together can do a piece of work in 10 days. Ram alone can do it in 12 days. Shyam alone will do the same work in * (a) 20 days * (b) 40 days * (c) 50 days * (d) 60 days 13. If x% of y% of 80 is the same as 25% of 900, then the value of xy is * (a) 28125 * (b) 30100 * (c) 32500 * (d) 34200 14. The number that is to be added to 10% of 320 to get the same as 30% of 230 is * (a) 23 * (b) 32 * (c) 37 * (d) 73 15. One-third of 1206 is what percent of 134? * (a) 100% * (b) 150% * (c) 200% * (d) 300% 16. For an article the profit is 90% more than the cost price. If the cost price increases by 10% but the selling price remains same, then profit is what percentage of selling price (approximately)? * (a) 54 * (b) 62 * (c) 70 * (d) 163 17. A man bought an old typewriter for ₹1200 and spent ₹200 on its repair. He sold it for ₹1680. His profit percent is * (a) 8% * (b) 10% * (c) 16% * (d) 20% 18. The simple interest on a sum for 5 years is one fourth of the sum. The rate of interest per annum is * (a) 4% * (b) 5% * (c) 6% * (d) 8% 19. What sum will amount to ₹7000 in 5 years with (1/3)% as simple interest? * (a) ₹5000 * (b) ₹6000 * (c) ₹6300 * (d) ₹6500 20. The perimeter of an isosceles triangle is 32 cm and each of the equal sides is 5/6 times of the base. What is the area (in cm²) of the triangle? * (a) 39 * (b) 48 * (c) 57 * (d) 64 21. The fourth proportional to 0.12, 0.21, 8 is * (a) 8.9 * (b) 14 * (c) 17 * (d) 56 22. Two cars start at the same time from one point and move along two roads which are at right angles to each other. Their speeds are 36 km/hour and 48 km/hour respectively. After 15 seconds, the distance between them will be * (a) 150 m * (b) 250 m * (c) 300 m * (d) 400 m 23. The speed of two trains is in the ratio of 6: 7. If the second train runs 364 km in 4 hours, then the speed of the first train is * (a) 60 km/hr. * (b) 72 km/hr. * (c) 78 km/hr. * (d) 84 km/hr. 24. If each side of a square be doubled, then the percentage increase in its area is * (a) 200% * (b) 250% * (c) 280% * (d) 300%. 25. If the length and the perimeter of a rectangle are in the ratio 5: 16 then its length and breadth will be in the ratio * (a) 5:3 * (b) 5:4 * (c) 5:8 * (d) 5:11 26. The average age of a team having 12 players is 23 years. If the age of the coach is also included, then the average age increases by 2 years. What is the age (in years) of the coach? * (a) 41 * (b) 47 * (c) 49 * (d) 51 27. The average of three numbers is 77. The first number is twice the second and the second number is twice the third. The first number is * (a) 33 * (b) 66 * (c) 77 * (d) 132 28. Express 40 ml as a ratio of 3/4 * (a) 2:35 * (b) 4:75 * (c) 4:15 * (d) 8:75 29. The number of factors of a prime number is * (a) 0 * (b) 1 * (c) 2 * (d) 3 30. (4.41 * 0.16) / (2.1 * 1,6 * 0.21) is simplified to * (a) 0.01 * (b) 0.1 * (c) 1 * (d) 10 31. Which of the following has no end points? * (a) A line segment * (b) A ray * (c) A line * (d) None of these 32. In the given figure, if m || n, then the value of x is: * (a) 64° * (b) 84° * (c) 52° * (d) 106° 33. In an isosceles triangle, if the vertex angle is twice the sum of the base angles, then the measure of half of the vertex angle of the triangle is * (a) 50° * (b) 60° * (c) 70° * (d) 80° 34. Find the area of a rhombus, the lengths of whose diagonals are 36 cm and 22.5 cm. * (a) 405 cm² * (b) 425 cm² * (c) 430 cm2 * (d) 450 cm2 35. Find the height of an equilateral triangle of area 144√5 cm². * (a) 6√3 cm * (b) 12√3 cm * (c) 24√3 cm * (d) 48√3 cm 36. The area of a circle is 24.64 m². The circumference of the circle is * (a) 14.64 m * (b) 16.36 m * (c) 17.60 m * (d) 18.40 m 37. Two solid cubes of side 6 cm each are joined end to end. What is the volume of the resulting cuboid? * (a) 380 cm³ * (b) 416 cm³ * (c) 432 cm³ * (d) 460 cm³ 38. If 22.5 m of a uniform iron rod weighs 85.5 kg, what will be the weight of 5 m of the same rod? * (a) 16 kg * (b) 17 kg * (c) 18 kg * (d) 19 kg 39. A student was asked to find 5/16 of a number. By mistake he found 1/2 of that number. His answer was 250 more than the correct answer. Find the given number. * (a) 300 * (b) 450 * (c) 480 * (d) 500 40. 0.935 / (0.25 * 0.44) =? * (a) 7.5 * (b) 8.0 * (c) 8.5 * (d) 9.0 41. 7 kg 6 hg 9 dag is equal to * (a) 769 g * (b) 7690 g * (c) 76900 g * (d) 22000 g 42. How long will a man take to bicycle around a square field of side 1200 m, if his speed is 8 km/hr? * (a) 28 min * (b) 36 min * (c) 42 min * (d) 54 min 43. Find the reciprocal of (7/12 + 11/16 + 9/24) * (a) 48/79 * (b) 42/79 * (c) 48/71 * (d) 42/71 44. On a particular day, a rickshaw puller earned 137. Out of this money, he spent ₹56 on food. How much money is left with him? * (a) ₹80 1/4 * (b) ₹79 3/4 * (c) ₹ 80 1/2 * (d) ₹ 83 1/2 45. Find the value of the following expression. * 1/ (1*4) + 1/(4*7) + 1/(7*10) + 1/(10*13) + 1/(13*16) + 1/(16*19) * (a) 4/19 * (b) 6/19 * (c) 8/19 * (d) 10/19 46. The average of first 5 prime numbers is * (a) 5.2 * (b) 5.3 * (c) 5.5 * (d) 5.6 47. Two numbers are in the ratio 3: 5. If 9 is subtracted from each, then they are in the ratio 12:23. Find the smaller number. * (a) 27 * (b) 33 * (c) 49 * (d) 55 48. One-eighth of a percent can be written in a decimal as * (a) 0.00625 * (b) 0.000625 * (c) 0.00125 * (d) 0.000125 49. If the cost price of an article is 90% of the selling price, then what is the profit percent? * (a) 16% * (b) 11 1/9 % * (c) 9% * (d) 7 7/9 % 50. If (10.15)² = 103.0225, then find the value of the following expression. √1.030225+√10302.25 * (a) 102.15 * (b) 102.515 * (c) 1025.15 * (d) 103.515 ## SECTION-B: GENERAL KNOWLEDGE 51. Scurvy is caused due to the deficiency of * (a) Vitamin A * (b) Vitamin B * (c) Vitamin C * (d) Vitamin D 52. Male reproductive part of a flower is * (a) Sepal * (b) Stamens * (c) Petals * (d) Pistils 53. Which method can be used to separate pebbles and stones from sand? * (a) Sieving * (b) Winnowing * (c) Handpicking * (d) Any of these 54. Knee joints are * (a) Synovial joints * (b) Ball and socket joints * (c) Pivotal joints * (d) Fixed joints 55. Which of the following is not an air-borne disease? * (a) Chicken pox * (b) Common cold * (c) Malaria * (d) Measles 56. How many members are nominated by the President for Rajya Sabha? * (a) 8 * (b) 10 * (c) 12 * (d) 14 57. Which is India's largest freshwater lake? * (a) Dal Lake * (b) Wular Lake * (c) Chilika Lake * (d) Shakambari Jheel 58. Elon Musk is the owner of which of the following car companies? * (a) Toyota Motors * (b) General Motors * (c) Tesla * (d) Hyundai Motor company 59. Which of the following is the biggest private commercial bank in India? * (a) ICICI Bank * (b) HDFC Bank * (c) State Bank of India * (d) Reserve Bank of India 60. Who is the first Indian-origin woman to go into space? * (a) Flight Lieutenant Shivangi Singh * (b) Kalpana Chawla * (c) Sarla Thakral * (d) Gunjan Saxena 61. Which Continent is known as Dark Continent? * (a) Belgium * (b) Egypt * (c) Australia * (d) Africa 62. Kelvin is a unit of * (a) Temperature * (b) Light intensity * (c) Sound intensity * (d) Electric current 63. Which Indian State is called the Sugar Bowl of India? * (a) Punjab * (b) Andhra Pradesh * (c) Uttar Pradesh * (d) Haryana 64. Mobiles use SIM cards. What does SIM stand for? * (a) Subscriber Identity Module * (b) Subscriber Identity Mechanism * (c) System Identity Module * (d) System Identity Mechanism 65. How many seconds are there in an hour? * (a) 1,800 * (b) 3,600 * (c) 7,200 * (d) 14,400 66. Who was the first Prime Minister of India? * (a) Subhash Chandra Bose * (b) Lal Bahadur Shastri * (c) Jawaharlal Nehru * (d) Vallabhbhai Patel 67. How many States and Union Territories does India have? * (a) 28 States and 8 Union Territories * (b) 28 States and 9 Union Territories * (c) 29 States and 8 Union Territories * (d) 29 States and 9 Union Territories 68. World health day is celebrated on * (a) April 1 * (b) May 1 * (c) April 7 * (d) May 7 69. Which of the following Indian States has the largest population? * (a) Maharashtra * (b) Uttar Pradesh * (c) Bihar * (d) Sikkim 70. Which is the largest animal on land? * (a) Asian Elephant * (b) African Bush elephant * (c) White Rhinoceros * (d) Indian Rhinoceros 71. The cycle of seasons is caused due to * (a) Rotation * (b) Revolution * (c) Gravitation * (d) None of these 72. Which is the deepest point from the sea level on the Earth? * (a) North Channel * (b) Pacific Ocean * (c) Mariana Trench * (d) Red Sea 73. Which State of India has the longest coastline? * (a) Gujarat * (b) Goa * (c) Tamil Nadu * (d) Andhra Pradesh 74. The Kharif crops are sown in which months? * (a) March-April * (b) July-October * (c) October-November * (d) January-February 75. The river Yangtze flows in * (a) South America * (b) Australia * (c) China * (d) Singapore ## SECTION-C: LANGUAGE (ENGLISH) **Read the following passage and answer the questions.** It is very important that one is both physically and mentally fit. Exercising plays a vital role in our lives. It helps us in staying physically fit. Out human body is designed to move. If we do not walk or exercise daily then we might easily get prone to different diseases over time. Just like eating food, going to work daily are some of the important aspects of daily life. Exercise is important in daily lives and one should make it a habit to exercise at least four days out of seven days in a week. 76. ______ keeps us physically and mentally fit. * (a) Exercising * (b) Studying * (c) Reading * (d) Painting 77. ______ are a result of the lack of doing exercise. * (a) Free time * (b) More time with friends * (c) Diseases * (d) Happiness 78. We should exercise at least ______ days every week. * (a) 3 * (b) 4 * (c) 5 * (d) 6 79. Exercising is just as important as ______. * (a) listening to music * (b) gossiping * (c) watching TV * (d) eating food 80. Choose the word which is opposite to 'vital'. * (a) Essential * (b) Crucial * (c) Needless * (d) Critical **Rearrange the following words/phrases to make meaningful sentences. Choose the correct sequence.** 81. is celebrated/ all over/ christmas/ the world * (a) ABCD * (b) CABD * (c) CADB * (d) BCAD 82. gold/ is not/ glitters all that * (a) ABCD * (b) CBDA * (c) CDAB * (d) DCBA 83. is/ not/ Sunday/ everyday * (a) DACB * (b) DBCA * (c) ABDC * (d) DABC **Fill in the blank with the most appropriate option.** 84. Neither he ______ his brother attended the family function. * (a) and * (b) with * (c) or * (d) nor 85. The Post Office is ______ the D Mall. * (a) of * (b) beside * (c) besides * (d) by 86. He ______ his teeth regularly. * (a) brush * (b) brushed * (c) brushes * (d) brushing 87. Savita has been working in this company ______ 2018. * (a) since * (b) for * (c) by * (d) at **Do as directed** 88. My uncle has ______ work to do today. (Select the correct Adjective) * (a) many * (b) much * (c) each * (d) every 89. Yesterday I met ______ European lady in the market. (Select the correct article) * (a) a * (b) an * (c) the * (d) no article 90. His father ______ in State Bank of India. (Select the correct form of verb) * (a) is working * (b) has work * (c) work * (d) works **Choose the most appropriate option.** 91. Which word means nearly the same as 'surplus'? * (a) scanty * (b) infinite * (c) excess * (d) adequate 92. Which word is the opposite of 'easy'? * (a) obey * (b) simple * (c) difficult * (d) poor 93. One who is equally skillful with both hands. * (a) ambivert * (b) ambidextrous * (c) amphibian * (d) polyglot 94. What is the feminine gender of 'Landlord'? * (a) Ladylord * (b) Landlady * (c) Landowner * (d) Landfarmer 95. Choose the word which is opposite of 'SMOOTH'? * (a) Rough * (b) Glib * (c) rise * (d) Fall 96. Choose the word which means same as 'SORROW'? * (a) Grief * (b) Cheerful * (c) Happy * (d) Bold 97. One who dies for a cause * (a) Mortal * (b) Martyr * (c) Modest * (d) Amateur 98. His brother lives in London ______ he lives in a small village in Bihar. (Choose the correct Conjunction) * (a) and * (b) so * (c) but * (d) because 99. The Dog is a faithful animal. ______ is an excellent swimmer as well. (Choose the correct Pronoun) * (a) It * (b) He * (c) She * (d) They 100. He always helps the poor, ______? (Use the correct Question tag) * (a) Does he * (b) Will he * (c) Doesn't he * (d) Isn't he ## SECTION-D: INTELLIGENCE TEST 101. Choose the correct alternative which will replace the question mark. * Baking: Bread::?: Curd * (a) Brewing * (b) Coagulation * (c) Fermentation * (d) Boiling 102. Choose the correct alternative which will replace the question mark. * 169:12:25:? * (a) 2 * (b) 3 * (c) 4 * (d) 5 103. Choose the alternative that will continue the number series below: * 7, 16, 34, 70, ? * (a) 146 * (b) 140 * (c) 144 * (d) 142 104. A piece of paper is folded and punched as shown below in the question figures. From the given answer figures, indicate how it will appear when opened? Problem Figure Answer Figures 105. Choose the word which is least like the other words in the group. * (a) Air India * (b) Spice Jet * (c) Indigo * (d) Kingfisher 106. Identify the diagram that best represents the relationship among classes given below: Judge, Thief and Criminal 107. Choose the word which is least like the other words in the group. * (a) Elephant * (b) Tiger * (c) Lion * (d) Beer 108. If TQUS is coded as UPVR then FIRE will be coded as? * (a) GHRD * (b) GIRF * (c) GIRG * (d) GHSD 109. A question figure and four answer figures marked (a), (b), (c) and (d) are given. Select the answer figure in which the question figure is hidden/embedded. Problem Figure Answer Figures 110. If $ means +, # means - , @ means * and % means ÷ then what is the value of 16 $ 4 @ 5 # 72 % 8? * (a) 36 * (b) 29 * (c) 27 * (d) 25 111. Abhay is 24th from the right and in a row of 49 persons. What is his position from the left end? * (a) 24th * (b) 25th * (c) 26th * (d) 27th 112. 981 1 13 / 1 / ? * (a) 169 * (b) 125 * (c) 120 * (d) 127 113. A piece of paper is folded and punched as shown below in the question figures. From the given answer figures, indicate how it will appear when opened? * Problem Figure Answer Figures 114. In a certain code 'COMPUTER' is written as '35491068' and 'PIG' is written as '972' then 'TIGER' will be written as? * (a) 70268 * (b) 07268 * (c) 07628 * (d) 70628 115. Choose the word which is least like the other words in the group. * (a) Watch * (b) Clock * (c) Bangle * (d) Bracelet 116. If we arrange the given words in alphabetical order, which word would come at second place, choose the correct alternative? * (a) Resign * (b) Repair * (c) Residue * (d) Research 117. Choose the alternative that will continue the number series below: * 88, 95, 106, 119, 136, 155, 178, ? * (a) 197 * (b) 207 * (c) 217 * (d) 249 118. Choose the correct alternative that has the same relation to CGN as RVH is to PSD. * CGN:?:: PSD: RVH * (a) EJR * (b) EIR * (c) EJQ * (d) EIQ 119. Identify the diagram that best represents the relationship among classes given below: Sun, Moon and Star 120. Choose the correct alternative that has the same relation to 6 as 130 has with 5. * 5:130::6:? * (a) 210 * (b) 212 * (c) 222 * (d) 226 121. Choose the word that is least like the other words in the group. * (a) Bicycle * (b) Car * (c) Truck * (d) Train 122. M is the brother of N. B is the brother of N. M is the brother of D. But N is not the brother of D. How is N related to D? * (a) Nephew * (b) Cousin * (c) Sister * (d) Brother 123. The length and breadth of a rectangle are 5.4 cm and 2.5 cm respectively. Find its area. * (a) 11.5 cm² * (b) 12.5 cm² * (c) 13.5 cm² * (d) 14.5 cm² 124. The cost of 12 belts and 30 wallets is ₹ 8940. What is the cost of 4 belts and 10 wallets? * (a) ₹ 2780 * (b) ₹ 2870 * (c) ₹ 2890 * (d) ₹ 2980 125. If in a certain code RDHKLP is coded as QCJMKO then ROHINY will be coded as? * (a) QNJKCX * (b) QNJKMX * (c) QNIJMX * (d) QNJLNX