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Logical Reasoning | |
Mathematical Reasoning | |
Everyday Mathematics | |
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Note: The questions provided in this document are similar to the questions that were asked in the actual Olympiad exam. So, we recommend you study these for your Olympiad preparation
Q1: Jatin is the brother of Rahul. Yash is the father of Jatin and Suman is the sister of Yash. How is Suman related to Rahul?
(a) Sister
(b) Aunt
(c) Mother
(d) Cousin
Ans: (b)
Q2: If ‘#’ represents ‘×’, ‘$’ signifies ‘÷’, ‘@’ indicates ‘+’ and ‘©’ stands for ‘–’, what is the result of 125$5@14#5©15#3?
(a) 60
(b) 50
(c) 40
(d) 80
Ans: (b)
Q3: Select the item that does not belong with the others.
(a) Iron
(b) Wood
(c) Aluminium
(d) Silver
Ans: (b)
Q4: Which of these sequences follows the pattern where the sum of any two consecutive terms is less than 8 and all terms are different??
(a) 7, 1, 2, 6, 5, 4
(b) 6, 1, 5, 2, 4, 3
(c) 7, 0, 2, 6, 5, 4
(d) 7, 0, 2, 6, 2, 4
Ans: (b)
Q5: Which would be the first term of the given sequence that would be lesser than 20: 67, 61, 55, 49, ..... ?
(a) 17
(b) 18
(c) 19
(d) 20
Ans: (c)
Q6: What should be the next term in this sequence:
M10G, K9G, I8G, _________ ?
(a) G7I
(b) H7G
(c) G7G
(d) F7G
Ans: (c)
Q7: I am father of Rishi. Heera is Rishi's mother's only daughter. What will be the relation of Heera's husband with me?
(a) Son
(b) Uncle
(c) Son-in-law
(d) Brother
Ans: (c)
Q8: Which of these pairs form a new word each on dropping a common letter?
(a) first, fist
(b) fashion, fill
(c) tease, tray
(d) sick, sell
Ans: (c)
Q9: How many triangles are there in the given figure?
(a) 4
(b) 5
(c) 6
(d) 8
Ans: (c)
Q10: If X is the brother of the son of Y’s son, how is X related to Y?
(a) Grandson
(b) Son
(c) Cousin
(d) Cannot be determined
Ans: (a)
Q11: In which of the four images the symbol ‘X’ CANNOT be found as a part of that image?
(a) 1
(b) 2
(c) 3
(d) 4
Ans: (d)
Q12: Find the next element of the following series:
4, 10, 22, 40, 64,?
(a) 80
(b) 94
(c) 86
(d) 100
Ans: (b)
Q13: How many meaningful words of four letters can be formed by using the first, third, fifth and eighth letter of the alphabetical series using each letter only once?
(a) Two
(b) One
(c) Three
(d) None
Ans: (a)
Q14: Choose the box that will be formed by folding the sheet of paper given in fig(i).
(a) Only (ii)
(b) Only (iv)
(c) Only (v)
(d) Only (ii) and (iii)
Ans: (d)
Q15: The following figure shows three intersecting circles representing Cricketers, Males and Coaches. Different regions so obtained in the figure are marked 1, 2, 3, 4, 5, 6 and 7. If you are to select the males who are not coaches, then which region is to be selected?
(a) 7
(b) 5
(c) 13
(d) 9
Ans: (b)
Q16: The equation _________ and 2x + 2 = 0 have the same solution.
(a) x – 1 = 0
(b) x + 1 = 0
(c) x – 2 = 0
(d) x + 2 = 0
Ans: (b)
Q17: Which of the following statements is false?
(a) 42.6 > 36.617 > 36 > 20.123
(b) 16.124 < 23.45 < 23.57 < 77
(c) 65.124 > 33.112 > 27 > 23.6
(d) 99.999 < 99.99 < 99.8 < 99
Ans: (d)
Q18: When we multiply a whole number by the multiplicative identity of whole numbers, the result is _____.
(a) The number itself
(b) The multiplicative identity
(c) 0
(d) The opposite of that number
Ans: (a)
Q19: How many of the letters listed below lack a line of symmetry?
P A R K I N G
(a) 5
(b) 4
(c) 6
(d) 3
Ans: (a)
Q20: If the number 87427*56 is divisible by 36, what digit should replace *?
(a) 3
(b) 2
(c) 6
(d) 7
Ans: (c)
Q21: Which of the following sets of numbers are not in proportion?
(a) 7, 12, 805, 1380
(b) 16, 28, 4, 7
(c) 150, 100, 135, 90
(d) 51, 85, 57, 98
Ans: (d)
Q22: If the total of two angles exceeds 180°, which of the following combinations is not feasible for these angles?
(a) One obtuse angle and one acute angle
(b) One reflex angle and one acute angle
(c) Two obtuse angles
(d) Two right angles
Ans: (d)
Q23: Which of the following indicates a negative integer?
(a) The temperature rises by 32°C.
(b) A deposit of ₹8469.
(c) A submarine is at a depth of 140 m below sea level.
(d) A bird is soaring at a height of 105 m above ground level.
Ans: (c)
Q24: Calculate the total of all the prime factors of 1155.
(a) 26
(b) 28
(c) 22
(d) 24
Ans: (a)
Q25: The value of 18 × 13 + 54 ÷ 2 – 8 is _______.
(a) CLLIII
(b) CCLIII
(c) CCVIII
(d) DCLIII
Ans: (b)
Q26: Set of three prime numbers is called a prime triplet, which of the following is a prime triplet?
(a) (2, 4, 5)
(b) (7, 9, 13)
(c) (5, 7, 11)
(d) (2, 3, 8)
Ans: (c)
Q27: What least number should be added to 2410 to get a number exactly divisible by 45?
(a) 30
(b) 10
(c) 20
(d) 15
Ans: (c)
∴ Number = 45 – 25 = 20
Q28: How many triangles are there in the figure below?
(a) 7
(b) 8
(c) 9
(d) 11
Ans: (b)
Q29: Which of the following pair of line segments are not parallel, as shown in the figure?
(a) AD, BC
(b) AE, FC
(c) DE, BF
(d) AB, BC
Ans: (d)
AB and BC are adjacent sides.
Q30: What is the value of XL – XI?
(a) 29
(b) 30
(c) 20
(d) 49
Ans: (a)
XL – XI = 40 – 11 = 29
Q31: The value of 2575 ÷ 25 + 2575 ÷ 2575 is ________.
(a) 1
(b) 103
(c) 104
(d) 102
Ans: (c)
As 2575 ÷ 25 + 2575 ÷ 2575 = 103 + 1 = 104
Q32: State the property used in the following statement.
66 ×93+66×7=66×(93+7)
(a) Commutative property
(b) Associative property
(c) Distributive property
(d) Closure property
Ans: (c)
We have, 66 × 93 + 66 × 7 = 66 × (93 + 7)
This property is distributive property.
Q33: What is the product of 9680 × 10 × 14 × 0 × 8?
(a) 561260
(b) 642976
(c) 912040
(d) Zero
Ans: (d)
Any number multiplied by zero gives zero.
Q34: How many whole numbers are there between A and B on the number line?
(a) 25
(b) 19
(c) 40
(d) 21
Ans: (b)
Here A = 10 and B = 30 The numbers from 11 to 29 lie between 10 and 30.
Q35: Which one of the following is the predecessor of 6+ 9 x 3-44?
(a) (-11)
(b) (-12)
(c) (-10)
(d) (-13)
Ans: (b)
6 + 9 × 3 -44
= 6 + 27 - 44
= 33 - 44
= (-11)
Predecessor = - 11 - 1 = - 12
Q36: Prerna had ₹5000. She purchased 2 boxes of chocolates for ₹52.98 each, 3 packets of chips for ₹12.98 each, and 2 books for ₹300.05 each. How much money does she have remaining?
(a) ₹4255
(b) ₹4750
(c) ₹4000
(d) ₹3875
Ans: (a)
Q37: Riya takes a test consisting of 50 questions. She earns 4 marks for each correct answer, loses 2 marks for each incorrect answer, and receives 0 marks for questions she does not attempt. If Riya answers 30 questions, getting 17 correct and 13 incorrect, how many marks will she receive?
(a) 45
(b) 42
(c) 44
(d) 48
Ans: (b)
Q38: The dimensions of the room are 42 meters in length and 18 meters in width. A carpet is required to cover the entire floor area.
Calculate the total cost of the carpet if it is priced at ₹6 per square meter.
(a) ₹4832
(b) ₹4536
(c) ₹4036
(d) ₹4236
Ans: (b)
Q39: In an office, there are 156 employees, with 3/4 being workers and the remaining employees being officers. What is the fraction of the number of officers compared to the number of workers?
(a) 1/3
(b) 2/3
(c) 1/4
(d) 3/4
Ans: (a)
Q40: Shreya begins reading a book that has 168 pages. She manages to read 12 pages over a span of 3 days. How many days will it take for Shreya to finish the entire book?
(a) 50
(b) 52
(c) 48
(d) 42
Ans: (d)
Q41: Rakesh visited the market and purchased various fruits. He acquired 2 kg 85 g of apples, 1 kg 75 g of oranges, and 3 kg 35 g of guavas. What is the overall weight of all the fruits he purchased?
(a) 7 kg 95 g
(b) 6 kg 195 g
(c) 6 kg 105 g
(d) 7 kg 85 g
Ans: (b)
Q42: The ratio of the volume of water in Bottle P to the volume of water in Bottle Q is 3:4. Rajeev drank 40 mL of water from Bottle P, and then the ratio becomes 13:20. How much water was there in Bottle P at first?
(a) 60 mL
(b) 80 mL
(c) 300 mL
(d) 500 mL
Ans: (c)
Q43: A geometry box has
(a) ruler
(b) compasses
(c) divider
(d) All of these
Ans: (d)
Q44: A line segment PQ is 10.2 cm long. If A is the mid point of PQ, then the length of AP is
(a) 4.8 cm
(b) 8.2 cm
(c) 5.1 cm
(d) 5.2 cm
Ans: (c)
Since A is the mid point of PQ.
Q45: A straight line can be bisected in __________ right
(a) 1
(b) 3
(c) 2
(d) 4
Ans: (c)
Q46: Given below the steps of construction of bisection of a line segment in incorrect order. Read them carefully and choose the correct order.
Step I: With centre A and radius more than half of AB, draw arcs, one on each side of AB.
Step II: Draw a line segment AB of given length.
Step III: Join EF intersecting AB at M. Then M bisects the line segment AB.
Step IV: With B as centre and the same radius as before, draw arcs, cutting the previously drawn arcs at E and F respectively.
(a) II, I, III, IV
(b) II, I, IV, III
(c) I, II, IV, III
(d) I, II, III, IV'
Ans: (b)
Q47: Which of the following is the most accurate method to copy a given line segment?
(a) Trace method
(b) Ruler and compasses
(c) Protractor
(d) Divider only
Ans: (b)
Ruler and compasses method is most accurate method to copy a given line segment.
Q48: The successor of 498 + (-1015) is
(a) -517
(b) -516
(c) 516
(d) 517
Ans: (b)
We have, 498+(-1015) =- 517
Successor of-517=(-517) +1 =- 516
Q49: The sum of 46.009 and 146 is
(a) 192.009
(b) 129.9
(c) 182.99
(d) 179.09
Ans: (a)
Q50: A brick is broken down into two pieces in such that each piece is 0.009 m long. What would be the total length of the brick?
(a) 2.8 cm
(b) 1.8 cm
(c) 3.9 cm
(d) 4.1 cm
Ans: (b)
Since, each broken piece of brick = 0.009 m
Then, the length of both the piece of brick =0.009 m+0.009 m
=0.018 m =0.018×100 cm=1.8 cm
Hence, required total length of the brick is 1.8 cm
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