Sainik School Class 9th Exam Jan 2024 Answer Keys PDF

## EN/VEDTRI/9/24 This booklet contains 32 pages. **Do not open this Test Booklet until you are asked to do so.** **Read carefully the Instructions given in this Test Booklet.** | | | |---|---| | Name of the Candidate (in Capitals) | | | Roll Number: | in figures | | | in words | | Centre...

## EN/VEDTRI/9/24 This booklet contains 32 pages. **Do not open this Test Booklet until you are asked to do so.** **Read carefully the Instructions given in this Test Booklet.** | | | |---|---| | Name of the Candidate (in Capitals) | | | Roll Number: | in figures | | | in words | | Centre of Examination (in Capitals): | | | Candidate's Signature : | | | Fascimile Signature Stamp of Centre Superintendent : | | | | | | Test Booklet Number | EN/VEDTRI/9/24 | | Test Booklet Code | F | | | | | Invigilator's Signature: | | ## Instructions 1. This question paper booklet contains **FIVE** sections. Section **"A"** Mathematics contains **50** questions of **4** marks each. Section **"B"** Intelligence, Section **"C"** English, Section **"D"** General Science and Section **"E"** Social Science contain **25** questions each, of **2** marks per question. In all, the paper consists of **150** questions for a total of **400** marks. Answer all questions. 2. Duration of the test is **3** hours. (**180** minutes) 3. The question paper booklet is in English only, for all the candidates. 4. The question paper booklet is of **32** pages. Please check and ensure that the question paper booklet is complete and contains all the pages. 5. Answer all questions in the **OMR** answer sheet only. 6. The **OMR** Answer Sheet is inside this Question Paper Booklet. When you are directed to open the Question Paper Booklet, take out the **OMR** Answer Sheet and fill in the particulars carefully with Blue/Black ball point pen only. 7. Darken only one circle as your correct answer for each question. If you darken more than one circle for the same question, your answer will be treated as wrong. 8. There is no negative marking for a wrong answer. 9. Do not make unnecessary marks on the **OMR** answer sheet or fold or attempt to deface it. If you do so, your answer sheet will not be evaluated. 10. Use Blue/Black ball point pen only for writing particulars on this page and for writing answers. Do not use pencil. 11. Rough work is to be done on the space provided for this purpose in the Question Paper Booklet only and not on the **OMR** Answer Sheet. 12. On completion of the test, hand over the **OMR** Answer Sheet to the Invigilator before leaving the Room/Hall. 13. You are allowed to take away this Question Paper Booklet with you. 14. The **CODE** for this Booklet is **F**. Make sure that the **CODE** and Test Booklet Number printed on the **OMR** Answer Sheet is the same as that on this Question Paper Booklet. In case of discrepancy, report the matter immediately to the Invigilator for replacement of both the Question Paper Booklet and the Answer Sheet. 15. Do not write your Roll No. anywhere else except in the specified space in the Question Paper Booklet/ **OMR** Answer Sheet. 16. Do not use white fluid for carrying out any correction on the **OMR** Answer Sheet. ## Instructions: Each question has four options. There is only one correct answer to each question. Choose the **MOST APPROPRIATE** option and darken/blacken the corresponding circle on the **OMR** Answer Sheet. ## SECTION - 'A' : MATHEMATICS ### 001 If the area of a circle is 2464 cm², then the radius of the circle (in cm), is (use π = 22/7): (1) 24 (2) 26 (3) 28 (4) 56 ### 002 The given line graph shows the number of articles sold by a company in the first 8 weeks of a particular year. **Articles Sold** | Week | Articles Sold | |---|---| | 1 | 1000 | | 2 | 2000 | | 3 | 3000 | | 4 | 4000 | | 5 | 3000 | | 6 | 2000 | | 7 | 4000 | | 8 | 6000 | What is the average number of articles sold in 8 weeks? (1) 5892 (2) 4875 (3) 4375 (4) 2945 ### 003 If *a = √2+1*, *b=√3-√2* and *c = √6+2√2* then the value of *a² + b²-c*, is: (1) 8 (2) 8-3√6 (3) 8+4√2 (4) 11-3√6 ### 004 *(2.5-3.5a)² – (3.5 a – 2.5 b)²* = (1) -6a²-6b² (2) 6b²-6a² (3) 6a² +6b² (4) 6a²-6b² ### 005 If 30% of (A + B) = 50% of (A - B), then A: Bis: (1) 3:5 (2) 5:3 (3) 4:1 (4) 1:4 ### 006 If * (a³ + 1/8) (a² + 1/4) (a² + 1/2) (a+1) (a-1) = ab - 1/b* , then value of b, is : (1) 8 (2) 16 (3) 32 (4) 64 ### 007 In a fruitstore, there are *4(a²-36²) boxes* and in each box there are * (3a²+36²) apples*. How many apples are there in the store? (1) (3a⁴ + 10a²b² – 8b⁴) / 4 (2) 3a² + 12a²b² + 8b⁴ (3) 12a² + 10a²b² + 6b⁴ (4) 12a² + 12a²b² – 6b⁴ ### 008 If *x = 4ab/(a+b)*, then the value of * (x+2ax+2b)/(x-2a x- 2b)*, is: (1) *2ab/2(a+b)²* (2) 2 (3) 4 (4) *4ab/(a+b)²* ### 009 If 8 is multiplied with 7 more than a number, it becomes the same as 15 is added to 3 times the same number. This can be represented by which of the following equations? (1) 7 (8 + x) = 3x +1 + 15 (2) 56 + x = 3x + 15 (3) 8 (7+ x) = 15 + 3x (4) 56x + 1 = 3 (x + 5) ### 010 *{44(x³ - 5x² - 24x³)} + {11x(x-8)}* = (1) 4x (x + 3) (2) 7x (x + 2) (3) 5x (x + 4) (4) (x + 2) (x + 3) ### 011 In a polygon, sum of interior angles is 360°. Its diagonals are equal but not all the sides. What is that polygon? (1) Parallelogram (2) Rhombus (3) Rectangle (4) Square ### 012 If circumference of a circle is 88 cm, then the area of the circle (in cm²) is (use π = 22/7): (1) 600 (2) 612 (3) 616 (4) 620 ### 013 Numbers 1 to 40 are written on different cards (one number on one card) and kept in a box. One card is picked up from the box. What is the probability that the card shows a perfect square number? (1) 1/8 (2) 1/5 (3) 3/20 (4) 1/10 ### 014 6 identical pipes can fill a tank in one hour and 30 minutes. How long will it take to fill the tank if 3 pipes stop working after filling half the tank? (1) 135 minutes (2) 125 minutes (3) 110 minutes (4) 130 minutes ### 015 A certain number of men can complete a work in 50 days. If there were 6 men more, the work can be finished in 10 days less. The number of men originally working are: (1) 36 (2) 30 (3) 28 (4) 24 ### 016 If one angle of a triangle is 63° and remaining two angles are in the ratio 1 : 2, then the measure of the largest angle of the triangle, is : (1) 63° (2) 70° (3) 78° (4) 82° ### 017 If *a:b:c:d=1:2:3:5*, then the value of *(a² + b²+c²)/(b²+c² + d²)*, is: (1) 7/19 (2) 19/5 (3) 8/17 (4) 4/21 ### 018 Atul drives a car at a speed of 48 km/h and starts his journey for his hometown 132 km away from residence at 9 am. At what time, will he reach his hometown? (1) 11 am (2) 11:20 am (3) 11:40 am (4) 11:45 am ### 019 If the points A (3,0) and B (0,4) are joined, then what will be the area of the triangle formed by AB and the coordinate axes? (1) 5 unit² (2) 6 unit² (3) 7 unit² (4) 12 unit² ### 020 If in polyhedron, V stands for number of vertices, F stands for number of faces and E stands for number of edges, then which of the following cannot be true for a polyhedron? (1) V=8 F=6 E = 12 (2) V = 5 F=5 E=8 (3) V=6 F=5_E = 10 (4) V=4 F=4_E=6 ### 021 All faces of a cube of side 5 cm are red painted and is cut into smaller cubes of side one cm. What is the total volume of smaller cubes formed, which have no face with red colour? (1) 54 cm³ (2) 45 cm³ (3) 34 cm³ (4) 27 cm³ ### 022 What is the greatest value of A for which the 6 digit number _326A50_ is divisible by 3? (1) 2 (2) 6 (3) 8 (4) 9 ### 023 *7 + 3/7 + 3/7 - 1/7 + (1 + 1/14) / 14* = (1) 3/7 (2) 2 (3) 10/7 (4) 3/2 ### 024 √27 - 2 × √8 + √125 = (1) 4 (2) 3 (3) 2 (4) 1 ### 025 The average of first five prime numbers is: (1) 3.6 (2) 5 (3) 5.2 (4) 5.6 ### 026 Two cubes have their surface areas in the ratio 4:9. What is the ratio of their volumes? (1) 64:729 (2) 8:27 (3) 9:4 (4) 2:3 ### 027 4 equal cuboids with dimensions 6 cm × 10 cm × 4 cm are joined side by side. The volume of the solid so formed, is : (1) 240 cubic cm (2) 480 cubic cm (3) 864 cubic cm (4) 960 cubic cm ### 028 Ritu is four years younger than her brother Varun. After 5 years, the sum of their ages will be 70 years. What is the present age of Ritu? (1) 30 years (2) *25.5 years* (3) 28 years (4) 32 years ### 029 Out of a certain number of marbles, 3/5th are red and half of the remaining are green. If the number of green marbles is 12, then how many are red marbles? (1) 24 (2) 36 (3) 9 (4) 18 ### 030 How many sides does a regular polygon have if each of its interior angle is 156°? (1) 9 (2) 12 (3) 15 (4) 20 ### 031 In the figure, l₁ is parallel to l₂ and ∠1 = 115°, ∠2 = 40°, then ∠3 is equal to: [IMAGE DESCRIPTION: A triangle with lines l₁ and l₂ extending from its two upper corners. The angles are labeled as: ∠1 (at the lower left corner) ∠2 (at the lower right corner) ∠3 (at the upper corner)] (1) 115° (2) 110° (3) 105° (4) 100° ### 032 Survey was done on 900 schools children about their choice of TV programmes - A. Sports B. Comedy shows C. Serials D. News Their choices are shown in the Pie chart. [IMAGE DESCRIPTION: A pie chart is shown. The pie chart is divided into four slices labeled as: A - 110° B - 100° C - 94° D - 56° A - Sports B - Comedy shows C - Serials D - News How many children showed interest for Comedy shows? (1) 235 (2) 250 (3) 265 (4) 275 ### 033 ABCD is a trapezium in which AB || DC and DE || AB. If AB = 2DC, DE = 12 cm and area of ABCD = 144 cm², then the length of AB, is : [IMAGE DESCRIPTION: A trapezium with points: A- top left corner B- top right corner C - bottom right corner D - bottom left corner E - somewhere along line AB Line AB||DC and DE||AB. DE=12 cm] (1) 16 cm (2) 10 cm (3) 8 cm (4) 20 cm ### 034 Which of the following statements are true? A. Cube of any odd number is odd. B. Cube of a single digit number cannot be a single digit number. C. A perfect cube may end with exactly two zeroes. D. Cube of a 2-digit number has at least 3 digits. (1) A, B, C only (2) B, C, D only (3) A, B, D only (4) A, D only ### 035 The value of x from the following figure, is : [IMAGE DESCRIPTION: a triangle showing three angles: 60°, 40° and x. Another angle outside the triangle is labeled x. The remaining angle outside the triangle is 50°. The sum of the two angles outside the triangle is 2x.] (1) 35° (2) 70° (3) 125° (4) 250° ### 036 Madan scored marks given in the following table. Every paper was of 100 marks. | Subject | Marks | |---|---| | Maths | 95 | | English | 72 | | Hindi | 80 | | Science | 68 | | Social Science | 65 | His average marks per subject is : (1) 72 (2) 74 (3) 75 (4) 76 ### 037 Which of the following triangles with given sides is not a right-angled triangle? A. 3, 4, 5 B. 5, 12, 13 C. 6, 7, 8 D. 6, 8, 10 (1) A (2) B (3) C (4) D ### 038 If two perpendicular sides of a triangle are 9 cm and 40 cm and length of the side opposite to right angle is x cm, then the value of x, is : (1) 39 (2) 40 (3) 41 (4) 42 ### 039 The value of a car depreciates at 10% per annum. Jayant bought the car for ₹ 8,00,000. What will be its value after 3 years? (1) ₹5,83,000 (2) ₹5,83,890 (3) ₹5,92,000 (4) ₹5,83,200 ### 040 The median of the data set {3, 11, 8, 9, 6, 7, 12}, is: (1) 6 (2) 7 (3) 8 (4) 9 ### 041 The average height of 6 boys is 5' 3". If one boy is 6' 1" tall, then the average height of remaining boys, is: (1) 5' (2) 5' 1" (3) 5' 2" (4) 5' 4" ### 042 By which smallest number, 2700 must be multiplied so that the new number is a perfect cube? (1) 6 (2) 10 (3) 15 (4) 18 ### 043 The number of zeros at the end of number *1×2×3×4× ...... × 20*, is: (1) 6 (2) 4 (3) 5 (4) 3 ### 044 The cost of 5 kg apples is ₹ 425, the cost of 12 dozen oranges is ₹ 744 and the cost of 4 kg mangoes is ₹ 480. What is the total cost of 8 kg apples, 8 dozen oranges and 8 kg mangoes? (1) ₹1,416 (2) ₹2,136 (3) ₹1,826 (4) ₹2,756 ### 045 Pawan bought a second hand TV for ₹ 4,300. He spent₹500 on its repair and sold it for ₹ 5,856. In this transaction, his gain was : (1) 20% (2) 21% (3) 22% (4) 24% ### 046 There are 120 students in a hostel and there is food provision for 25 days. How long would these provisions last out if 30 more students join the group? (1) 30 days (2) 22 days (3) 20 days (4) 17 days ### 047 If an item is sold at ₹ 1,292 after giving a discount of 15%, then the marked price of the item is: (1) ₹1,480 (2) ₹1,500 (3) ₹1,520 (4) ₹1,530 ### 048 6 kg of metal A and 24 kg of metal B are melt together to form an alloy. The percentage of metal A in the alloy is : (1) 20% (2) 25% (3) *33 1/3%* (4) 30% ### 049 What smallest number should be subtracted from 3142 to get a perfect square? (1) 5 (2) 6 (3) 7 (4) 8 ### 050 If alphabets A, B, C, ... are represented by numbers 1, 2, 3, ..., then the value of *√Z - A*, is : (1) 5 (2) 4 (3) 7 (4) 11 ## SECTION - 'B': INTELLIGENCE ### 051 Find the next pattern in the sequence. [IMAGE DESCRIPTION: Four patterns are shown. They are all squares with a dot at the top and another dot at the bottom center. The dots in the four squares are arranged as follows: square one: dot one on left edge, dot two on right edge square two: dot one on left edge, dot two in center square three: dot one on right edge, dot two in center square four: a question mark] (1) (2) (3) (4) ### 052 Replace the question mark in the following series: [IMAGE DESCRIPTION: four symbols are shown side by side. Each symbol is made of two arrows pointing in the same direction, The arrows are aligned vertically. The symbols are: symbol one: Up arrows symbol two: Up arrows symbol three: Up arrows symbol four: a question mark] Choose the correct answer from the options given below. (1) (2) (3) (4) ### 053 Arrange the following words as per order in the dictionary. A. Consume B. Consciousness C. Conscience D. Conservation E. Consequence Choose the correct answer from the options given below. (1) C, B, A, E, D (2) C, A, B, E, D (3) C, E, B, D, A (4) C, B, E, D, A ### 054 Find the odd one out: (1) 13 (2) 17 (3) 37 (4) 63 ### 055 Find the missing number: [IMAGE DESCRIPTION: a rectangle with a series of numbers in it. The numbers are: 7 13 4 8 5 4 9 ?: 3 3] (1) 12 (2) 14 (3) 15 (4) 18 ### 056 Find the next pattern in the sequence. [IMAGE DESCRIPTION: Four clocks are shown. Each clock shows a different time but the hands are consistently pointing in a specific direction. The clocks are: clock one: 12 o'clock clock two: 3 o'clock clock three: 6 o'clock clock four: a question mark] (1) (2) (3) (4) ### 057 Find the missing number: [IMAGE DESCRIPTION: a rectangle with a series of numbers in it. The numbers are arranged in a zig zag pattern. The numbers are: 5 19 7 5 29 4 3 ?: 6 5] (1) 25 (2) 37 (3) 41 (4) 47 ### 058 Complete the analogy: 3:11::7:? (1) 42 (2) 29 (3) 38 (4) 51 ### 059 Complete the following analogy: Y:2::T:? (1) 9 (2) 7 (3) 8 (4) 12 ### 060 A number is greater than 3 but less than 8. Also, it is greater than 6 but less than 10. The number is : (1) 5 (2) 6 (3) 7 (4) 8 ### 061 If DELHI can be coded as CCIDD, how would you code BOMBAY? (1) AJMTVT (2) AMJXVS (3) MJXVSU (4) WXYZAX ### 062 Amit is standing in the North of Bob who is in the West of Chetan on a ground. The position of Amit with respect to Chetan is in the direction : (1) East (2) North-West (3) North-South (4) North ### 063 Complete the analogy. MAN: PDQ :: WAN:? (1) NAW (2) ZDQ (3) YDQ (4) YQD ### 064 Complete the analogy. 25:125::36:? (1) 126 (2) 206 (3) 216 (4) 318 ### 065 Find the odd one out: (1) Pen (2) Sharpener (3) Scale (4) Stationery ### 066 How many such 5's are there in the following number sequence each of which is immediately preceded by 3 or 4 but not immediately followed by 8 or 9? 35954553584567357554523 (1) 3 (2) 4 (3) 5 (4) 6 ### 067 Identify the correct water image of the following figure. [IMAGE DESCRIPTION: Four patterns are shown. They are all circles. The circles in the four patterns are arranged as follows: pattern one: A circle pointing to the right pattern two: A circle pointing to the left pattern three: A circle pointing to the right pattern four: A circle pointing to the left] (1) (2) (3) (4) ### 068 Find the missing number out of the options given below: [IMAGE DESCRIPTION: a rectangle with a series of numbers in it. The numbers are: 0 7 ?: 26] (1) 45 (2) 60 (3) 63 (4) 76 ### 069 Arrange the following in a logical order (Increasing order). A. Day B. Week C. Second D. Minute E. Hour Choose the correct answer from the options given below. (1) A, B, C, D, E (2) C, D, E, B, A (3) C, D, B, E, A (4) C, D, E, A, B ### 070 Complete the analogy. Lizard: Reptile :: Whale: ? (1) Rodent (2) Amphibian (3) Mammal (4) Ocean ### 071 Find the missing number in the following series: 1, 9, 25, 49, ?, 121 (1) 64 (2) 81 (3) 91 (4) 100 ### 072 Arrange the following in the chronological order. A. Birth B. Death C. Funeral D. Marriage E. Education Choose the correct answer from the options given below. (1) A, E, D, C, B (2) A, C, D, E, B (3) A, E, D, B, C (4) A, E, B, D, C ### 073 Find the odd one out : (1) BCD (2) KMN (3) GHI (4) WXY ### 074 Anil, Bobby, Chetan, Deepak and Elen are five friends. Anil is shorter than Bobby but taller than Elen. Chetan is the tallest. Deepak is shorter than Bobby and taller than Anil. Who is in the middle with respect to their heights? (1) Bobby (2) Chetan (3) Deepak (4) Anil ### 075 If February 1, 2004 was Wednesday, what day was March 12th 2004? (1) Sunday (2) Saturday (3) Tuesday (4) Monday ## SECTION - 'C': ENGLISH ### 076 Spot the error : He is the carpenter | who | made my chair. (A) (B) (C) (D) (1) A (2) B (3) D (4) No error ### 077 Change the given sentence to indirect narration : Rita said to me, "I never eat junk food." (1) Rita told me that she never ate junk food. (2) Rita said to me that she never eats junk food. (3) Rita said that she never ever eats junk food. (4) Rita told me that I never ate junk food. ### 078 Change the given sentence to indirect narration : They said to Rahul, "We are watching cricket." (1) They said Rahul that they are watching cricket. (2) They told Rahul that they were watching cricket. (3) They told Rahul that they are watching cricket. (4) They told Rahul that they have been watching cricket. ### 079 Superlative degree of 'Top' is: (1) Topest (2) Topmost (3) Toppest (4) Most Top ### 080 Choose the correct option indicating the meaning of the given sentence: She is too slow to be a runner. (1) She is so slow to be a runner. (2) She is slow to run. (3) She is so slow that she cannot be a runner. (4) She is too slow, she couldn't be a runner. ### 081 Choose the correct Question Tag for the following sentence: It is quite hot outside today, ____? (1) is it (2) isn't it (3) doesn't it (4) aren't it ### 082 Choose the correct conjunction for the following: This is the ring ____ she gifted me. (1) beside (2) where (3) that (4) if ### 083 Fill in the blank : Neither she ____ he was present in the class. (1) nor (2) or (3) and (4) but ### 084 Fill in the blank: ____ she lost her daughter. (1) Hello! (2) Alas! (3) Hurrah! (4) Look! ### 085 Choose the most appropriate option : Reema is too generous not to help the needy. (1) Reema is so generous not to help the needy. (2) Reema is so generous that she can help the needy. (3) Reema is so generous enough to help the needy. (4) Reema is so generous she will help. ### 086 Change the given sentence to Passive Voice: People speak different languages all over the world. (1) Different languages are spoken all over the world. (2) Different languages were being spoken all over the world. (3) Different languages was spoken all over the world. (4) Different languages were spoken all over the world. ### 087 Choose the correct meaning of the given Idiom / Phrase: 'Helter skelter' (1) Natural and simple (2) Here and there (3) Merits and demerits (4) Arrogant and naughty ### 088 Choose the correct meaning of the following idiom : 'A wolf in a sheep's clothing' (1) A very relatable person (2) A weak person (3) A fair and honest person (4) A dangerous person pretending to be a harmless person ### 089 Choose the correct option from the following: Her uncle who ____ to her was ____ . (1) had been kind, dead (2) was dead, kind (3) is dead, kind (4) has been kind, dead ### 090 Fill in the blank with correct preposition: I saw him climbing ____ the tree to pluck mangoes. (1) upon (2) on (3) up (4) over ### 091 Choose the correct spelt word : (1) Autonomus (2) Autonomous (3) Autonemous (4) Autenomus ### 092 Choose the correct sentence having an adverb: (1) He waited long for me. (2) He went on a long journey. (3) He came by an early flight. (4) He is of my near relation. ### 093 Change into passive voice : 'Please don't disturb me.' (1) You are requested not to disturb me. (2) You are requested not disturb me. (3) Please do not disturb me. (4) You are requested do not disturb me. ### 094 Fill in the blank with correct conjunction: She is rich ____ she is not contented. (1) since (2) yet (3) as (4) while ## Read the passage carefully and answer the questions given below : (Q. 95 - 100) The Walt Disney Company became the first major media company to ban advertisements for candy bars and junk food on its television channels, radio stations and websites, to stop food manufacturers from peddling nutritionally challenged fattening junk for kids. The ban covers foods with too much sugar, too much salt or