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Logical Reasoning | |
Mathematical Reasoning | |
Everyday Mathematics | |
Achievers Section |
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: Sujata is younger than Mehak and older than Sonia. Rekha is younger than Sonia. Palak is older than Mehak, who is older than Sujata. Who is the youngest among them?
(a) Rekha
(b) Sonia
(c) Mehak
(d) Palak
Ans: (a)
Q2: Which of the following elements is 6th to the right of the 6th element from the left end in the given arrangement?
© M 3 # K I 7 $ N S 1 % J P 5 @ B A
(a) 1
(b) %
(c) J
(d) 5
Ans: (b)
Q3: Some letters are given which are numbered 1, 2, 3, 4, 5, and 6 followed by four options containing combinations of these numbers. Find the combination of numbers so that letters are arranged accordingly to form a meaningful English word.
(a) 2, 5, 3, 4, 1, 6
(b) 5, 6, 2, 3, 1, 4
(c) 4, 2, 6, 5, 1, 3
(d) 4, 2, 6, 5, 3, 1
Ans: (d)
Q4: Study the diagram and identify the people who can speak only one language.
(a) E
(b) G
(c) G + F + E
(d) A + B + C
Ans: (c)
The people who can speak only one language is G + F + E.
Q5: Choose the option which gives the correct order of the letters as indicated by the numbers to form words.
(a) 3, 4, 2, 1, 5
(b) 3, 1, 2, 5, 4
(c) 2, 3, 1, 4, 5
(d) 4, 2, 1, 3, 5
Ans: (a)
The given letters, when arranged in the order 3, 4, 2, 1, 5 form the word 'LEMON'.
Q6: Shivam has a set of Red, Blue and White marbles.
How many marbles are there in Shivam's set?
(a) 12
(b) 6
(c) 8
(d) 4
Ans: (a)
Number of White marbles = 2
Number of Blue marbles = 2 × 2 = 4
Total number of Blue and White marbles = 4 + 2 = 6
Total marbles (n) = n = 1/2 × n + 6 n = 6 × 2 = 12 marbles.
Q7: Find the mirror image of each of given figure (X).
(a)
(b)
(c)
(d)
Ans: (c)
The mirror image is as follows:
Q8: Identify which shape is hidden in the figure (X).
(a)
(b)
(c)
(d)
Ans: (b)
Q9: Find the odd letters from the given responses.
(a) ORQP
(b) OLNM
(c) WZYX
(d) PSRQ
Ans: (b)
As,
Q10: Study the following information and answer the questions based on it.
A, B, C, D and E are five boys sitting in a circle facing the centre. C is sitting immediately to the left of E. A is sitting between D and E.
Who is sitting third to the right of E?
(a) A
(b) C
(c) B
(d) D
Ans: (c)
B is sitting third to the right of E.
Q11: A series is given, with one term missing. Choose the correct alternative from the given ones that will complete the series.
(a) 150
(b) 182
(c) 157
(d) 156
Ans: (c)
The pattern is as follows:
Q12: Arrange the words according to Dictionary.
1. Knock
2. Kinetic
3. Knockout
4. Knowledge
5. Known
(a) 2, 1, 3, 4, 5
(b) 1, 3, 2, 5, 4
(c) 4, 3, 1, 5, 2
(d) 3, 2, 1, 4, 5
Ans: (a)
Q13: In the following figure, the boys who are athletes and disciplined are indicated by which number?
(a) 4
(b) 2
(c) 6
(d) 5
Ans: (b)
The boys who are athletes and disciplined are indicated by number '2'.
Q14: A word is given in capital letters. It is followed by four words. Out of these four words, three can be formed from the letters of the word in capital letters. Point out the word which can be formed.
ALTERNATIVES
(a) TELEVISION
(b) RENOVATE
(c) RESPITE
(d) TRAINS
Ans: (d)
TRAINS can be formed from the letters of the given word.
Q15: Estimate one doughnut weighs as much as ___________ blocks.
(a) 10
(b) 15
(c) 17
(d) 12
Ans: (d)
Here,
Q16: I think of a decimal number. Add 3.4 to it. Subtract 2.5 from the sum obtained. Multiply the result obtained by 3, I get 9 as the answer. Find the decimal number.
(a) 0.21
(b) 2.1
(c) 21.0
(d) 0.15
Ans: (b)
Q17: Which of the following fractions is listed from largest to smallest?
(a) 3/7, 7/8, 5/6, 2/3
(b) 7/8, 5/6, 2/3, 3/7
(c) 2/3, 3/7, 7/8, 5/6
(d) 3/7, 2/3, 5/6, 7/8
Ans: (b)
Q18: What is the total of all the prime factors of 145?
(a) 35
(b) 41
(c) 34
(d) 29
Ans: (c)
Q19: Compare and fill the box.
(a) >
(b) <
(c) =
(d) Can’t be determined
Ans: (b)
Q20: What is the unknown value in the following mathematical equation?
0.25 × 12 = 0.25 × 3 + 0.25 × 3 + 0.25 ×
(a) 2
(b) 3
(c) 6
(d) 10
Ans: (c)
Q21: What value should replace (P) in the equation?
(a) 4 kg 260 g
(b) 4 kg 26 g
(c) 4 kg 206 g
(d) 14 kg 62 g
Ans: (b)
Q22: A bottle contains 350 mL of protein shake. It is distributed equally into several glasses. If each glass holds 50 mL of protein shake, how many glasses can be filled?
(a) 6
(b) 7
(c) 9
(d) 5
Ans: (b)
Q23: In the following figure find the value of y.
(a) 249º
(b) 111º
(c) 200º
(d) 105º
Ans: (b)
Sum of all interior angles of a quadrilateral is 360º.
⇒ 108º + 65º + 76º + y = 360º
⇒ y = 360º – 249º = 111º
24: Vertical angles are _______ right angles.
(a) always
(b) never
(c) sometimes
(d) can not say
Ans: (c)
Q25: Write the integer which has been represented on number line given below?
(a) 5 more than 3
(b) 4 more than 2
(c) 5 more than 4
(d) 5 less than 2
Ans: (d)
Since moving 5 steps left from 2.
∴ 5 less than 2.
Q26: The value of 100 + (–75) + (–89) + (69) is _______.
(a) 169
(b) 5
(c) 164
(d) –5
Ans: (b)
We have, 100 + (–75) + (–89) + 69 Rearranging the terms, we get (100 + 69) + (–75) + (–89) = 169 + (–164) = 169 – 164 = 5
Q27: Absolute value of –58 is
(a) 50
(b) –58
(c) 58
(d) 0
Ans: (c)
Absolute value of a number is its numerical value with positive sign.
Q28: How many negative integers are there between –6 and 6?
(a) 5
(b) 6
(c) 11
(d) 12
Ans: (a)
The negative integers between –6 and 6 are –5, –4, –3, –2, –1.
Q29: Find the value of: –12 + (–98) – (–84) + (–7)
(a) –33
(b) –35
(c) –34
(d) –36
Ans: (a)
–12 + (–98) – (–84) + (–7)
= –12 – 98 + 84 – 7
= (–12 – 98 – 7) + 84
= –117 + 84 = –33
Q30: What fraction will come in place of *?
(a) 8/18
(b) 9/100
(c) 10/81
(d) 9/121
Ans: (b)
In given series, numerators form a series of odd numbers while denominators form a series of squares of even numbers.
Fraction in place of * = 9/102 = 9/100
Q31: Denominator of a fraction is 6 greater than its numerator. If the sum of denominator and numerator is 16, find the fraction.
(a) 5/11
(b) 7/13
(c) 8/14
(d) 2/8
Ans: (a)
Denominator of fraction is 6 greater than numerator.
D = N + 6
The sum of denominator and numerator is 16.
D + N = 16
Adding 6 both side
D + N + 6 = 16 + 6
D + D = 22
2D = 22
D = 22/2 = 11
Since, D + N = 16
11 + N = 16
N = 16 – 11 = 5
Then, denominator = 11 and numerator = 5.
Hence, fraction is 5/11.
Q32: 16.37 and 18.97 are
(a) like decimal fractions
(b) unlike decimal fractions
(c) equivalent decimal fractions
(d) none of these
Ans: (a)
Q33: Simplify: 35 – 5 [2 + 3 {2 – 2 (5 – 3) + 5} – 10] ÷ 4
(a) 35
(b) 25
(c) 33.85
(d) 33.75
Ans: (d)
35 – 5 [2 + 3 {2 – 2 (5 – 3) + 5} – 10] ÷ 4
= 35 – 5 × 1 ÷ 4 = 35 – 5/4
= 35 – 1.25 = 33.75
Q34: The cost of 1 litre milk is ₹ 7.50 then the cost of 30.5 litres milk is
(a) ₹ 225.75
(b) ₹ 223.75
(c) ₹ 228.75
(d) ₹ 243.60
Ans: (c)
Cost of 1 litre milk = ₹7.50
Cost of 30.5 litres of milk = ₹(7.50 × 30.5)
= ₹ 228.75
Q35: Convert 56098 ml into litre
(a) 56.098 L
(b) 55.980 L
(c) 50.670 L
(d) 51.453 L
Ans: (b)
Q36: Each level of a structure has 20 doors. The building consists of 12 levels. There are 25 buildings in total within a complex. Determine the overall number of doors installed in the complex.
(a) 2400
(b) 3000
(c) 6000
(d) 5000
Ans: (c)
Q37: Aira runs 165.395 km in 5 hours. How much distance did she run in 1 hour?
(a) 31.152 km
(b) 33.079 km
(c) 32.065 km
(d) 30.672 km
Ans: (b)
Q38: Aakash has a photo frame in the shape of a triangle. The measure of its sides are 35 cm, 28 cm, and 32 cm. A design is made with the ribbon around all sides of the frame. Find the total length of the ribbon used to make the design.
(a) 75 cm
(b) 95 cm
(c) 94 cm
(d) 70 cm
Ans: (b)
Q39: Beena saves ₹0.55 every day. What will be her total savings after two weeks?
(a) ₹3.85
(b) ₹5.50
(c) ₹6.60
(d) ₹7.70
Ans: (d)
Q40: The number of males in a country is 6,73,248 and the number of females is 5,43,215. If the total population is 14,90,775, then find the number of children in that country.
(a) 3,64,123
(b) 2,74,312
(c) 2,34,712
(d) 3,12,643
Ans: (b)
Q41: Ankita's sister attends Kathak dance classes on Tuesday, Thursday, and Saturday each week. If each class is 50 minutes long, what is the total time she practiced Kathak dance over three weeks?
(a) 7 hrs 30 mins
(b) 7 hrs 35 mins
(c) 6 hrs 35 mins
(d) 8 hrs 45 mins
Ans: (a)
Q42: A vendor sold 1 kg of potatoes for ₹40, 1 kg of tomatoes for ₹60, and 1 kg of onions for ₹65. He sold 15 kg of potatoes, 26 kg of tomatoes, and 35 kg of onions in a week. Calculate his total earnings for that week.
(a) ₹3245
(b) ₹4235
(c) ₹3475
(d) ₹4435
Ans: (d)
Q43: Prachi begins her trip on 28th July at 3:00 P.M. and arrives at her destination on 2nd August at 11:15 A.M. What is the total duration of her journey?
(a) 4 days 20 hrs 15 mins
(b) 5 days 20 hrs 15 mins
(c) 4 days 19 hrs 45 mins
(d) 5 days 19 hrs 45 mins
Ans: (a)
Q44: A monkey climbs up a wall 1.8 km high. He suddenly slips down and falls by 900 m where he finds support. How high is he from the ground?
(a) 27 km
(b) 270 m
(c) 0.9 km
(d) 18 m
Ans: (c)
Required height =(1.8 – 0.9) km = 0.9 km
Q45: If 50 metre long horizontal line is divided into 4 equal parts using a compass and name of the divided points from starting point are A, B, C, D and E. Find the length AD.
(a) 32.40 m
(b) 37.50 m
(c) 30.75 m
(d) None of these
Ans: (b)
Since AB = BC = CD = DE
∴ AB = 1/4 AE
= 1/4 × 50m = 12.5m
Hence AD = 3 × AB = 3 × 12.5 m = 37.50 m
Q46: In a town, there are two car manufacturing companies. The number of cars produced by one company is 4,50,370 and the number of cars produced by the other company is 3,17,398. (a) What is the total number of cars produced by both companies? (b) How many fewer cars does the second company produce than the first one?
(a) 654348
(b) 132972
(c) 767768
(d) 721398
Ans: (c)
Q47: A brick is broken down into two pieces in such a way that each is 0.937 m long. What would be the total length of the brick?
(a) 2.784 m
(b) 1.349 m
(c) 1.874 m
(d) 1.972 m
Ans: (c)
Total length of the brick
= 0.937 + 0.937
= 2 × 0.937
= 1.874 m
Q48: Representation of data in tabular form is done by using ______.
(a) Bar graph
(b) Frequency
(c) Tally marks
(d) None of these
Ans: (c)
Q49: The sum of face values of 4 in 3541 and 7614 is:
(a) 6
(b) 18
(c) 8
(d) 21
Ans: (c)
Face value of 4 in 3541 is = 4
Face value of 4 in 7614 is = 4
Sum of face values of 4 in 3541 and 7614 = 4 + 4 = 8
Q50: What is the difference between the greatest six digit number and the smallest six digit number?
(a) 999990
(b) 899990
(c) 989990
(d) 899999
Ans: (d) We know that,
The greater six digit number = 999999
The smallest six digit number = 100000
Required difference = 999999 – 100000 = 899999
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