Table of contents | |
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: Veer is in a line. If he is 6th from the front and 12th from the back, how many people are there in total in the line?
(a) 20
(b) 17
(c) 19
(d) 18
Ans: (b)
Q2: Find the combination of numbers so that the given letters are arranged accordingly to form a meaningful English word.
K A T R M E
(a) 5, 2, 4, 1, 6, 3
(b) 5, 2, 1, 4, 6, 3
(c) 3, 4, 6, 2, 1, 5
(d) 4, 2, 3, 1, 6, 5
Ans: (a)
Q3: Observe the pattern of numbers given:
Which pair of the given Roman numerals must fill the blank spaces?
(a) C, M
(b) C, X
(c) D, C
(d) C, L
Ans: (b)
120 = 100 + 10 + 10 = C, X
Q4: Four of the following five are alike in a certain way and so form a group.
Which is the one that does not belong to that group?
(a) QO2
(b) PN2
(c) TR2
(d) HF2
Ans: (a)
Only option (a) has vowel.
Q5: In the following question, select the missing number from the given series.
23, 11, 34, 45, 79, ?
(a) 121
(b) 124
(c) 163
(d) 169
Ans: (b)
23+11=34
11+34=45
34+45=79
45+79=124.
Q6: Which word will appear first when arranged in order of dictionary?
(a) Ankle
(b) Anger
(c) Antique
(d) Aster
Ans: (c)
Except Air all are fuel.
Q7: In a certain code language, "RUN" is written as "28" and "BUS" is written as "39”. How is "GUN" written in that code language?
(a) 37
(b) 38
(c) 39
(d) 42
Ans: (c)
Add the ranking of opposite letters of the word „ GUN’ RUN = 9 + 6 + 13 = 28
BUS=25+6+8=39
GUN=20+6+13=39
Q8: Suman walks 15 km towards north. She turns right and walks another 15 km. She turns right and walks another 15 km. In which direction is she from her starting point?
(a) North
(b) South
(c) East
(d) West
Ans: (c)
Q9: If the given clock is 45 minutes slow, then the CORRECT time after half an hour will be ______
(a) 6 O'clock
(b) 6: 30
(c) 7 O'clock
(d) 5: 30
Ans: (b)
Time shown on the clock is 5: 15 Since, clock is 45 minutes slow, so the correct time will be 6'Oclock. Time after half an hour will be 6 : 30.
Q10: A series is given with one term missing. Select the correct alternative from the given ones that will complete the series.
AB, CD, EF, GH, ?
(A) HJ
(B) HK
(C) IJ
(D) JI
Ans: (c)
English Alphabet series Next two letters after H.
Q11: Aman went on a 15-day journey. He stayed for 7 days in Manali and the remaining days in Shimla. What portion of his trip did he spend in Shimla?
(a) 8/7
(b) 7/8
(c) 8/15
(d) 7/15
Ans: (c)
So, the correct answer is 8/15.
Q12: A string is 40 m long. A piece measuring 800 cm is cut from it. The remaining piece is then cut into 10 equal pieces. Find the length of each piece.
(a) 320 cm
(b) 350 cm
(c) 400 cm
(d) 410 cm
Ans: (a)
Q13: Priya had 500 stickers. After giving 150 stickers to her brother, what fraction of the total stickers remains with her?
(a) 5/7
(b) 3/10
(c) 7/10
(d) 7/9
Ans: (c)
Thus, the fraction of stickers left is 7/10.
Q14: In January, 4105 children went to the zoo, and in February, 2534 children visited. What is the total number of children who visited the zoo in these two months?
(a) 6548
(b) 6639
(c) 6670
(d) 6234
Ans: (b)
Thus, the total number of children who visited the zoo in January and February is 6639.
Q15: Preeti purchased a piece of cloth that has four equal sides. What shape could this cloth be?
(a) Square
(b) Rectangle
(c) Triangle
(d) None of these
Ans: (a)
Therefore, the correct shape of the cloth is a square.
Q16: Shreya purchased 86 kg 475 g of sugar, while Puneet acquired 79 kg 825 g of sugar. Who purchased a smaller amount of sugar and by what margin?
(a) Shreya, 6 kg 650 g
(b) Puneet, 6 kg 650 g
(c) Shreya, 7 kg 350 g
(d) Puneet, 7 kg 350 g
Ans: (b)
Q17: In which of the following options is 7 not in the hundreds place?
(a) 2790
(b) 3578
(c) 4789
(d) 5785
Ans: (b)
The hundreds place is the third digit from the right in a number.
Thus, the only option where 7 is not in the hundreds place is 3578.
Q18: A city has a population of 92582. Round off the population to the nearest hundreds.
(a) 92500
(b) 92600
(c) 93500
(d) 92580
Ans: (b)
To round 92582 to the nearest hundred:
The correct rounded number is 92600.
Q19: Kanika has 4 photo albums. In each album, there are 10 pages. If there are 5 photos on each page, then how many total photos are there in all albums?
(a) 200
(b) 150
(c) 100
(d) 180
Ans: (a)
Q20: Which Roman numeral is greatest?
(a) DCLX
(b) CDXL
(c) DCXL
(d) CDXX
Ans: (a)
DCLX = 500 + 100 + 50 + 10 = 660
CDXL =(500-100) + (50-10) = 440
DCXL = 500 + 100 + (50- 10) = 640
CDXX =(500-100) + 10 + 10 = 420
Q21: Smallest 6-digit number is ...............
(a) 1,11,111
(b) 1,00,001
(c) 1,10,010
(d) 1,00,000
Ans: (d)
Smallest 6-digit number is 1,00,000.
Q22: Which of the following is equivalent to “five lakhs one hundred nine”?
(a) 50109
(b) 501009
(c) 500109
(d) 510090
Ans: (c)
Five lakh one hundred nine = 5,00,109.
Q23: From which Roman numeral, apart from V, can I be subtracted?
(a) I
(b) X
(c) L
(d) C
Ans: (b)
As, = 10 – 1 = 9
Therefore,
I can be subtracted from X.
Q24: 10 less than 100 is written as:
(a) XV
(b) XC
(c) CX
(d) LX
Ans: (b)
XC = 100 - 10 = 90
Q25: Compare and fill the box with appropriate symbol.
(a) >
(b) <
(c) =
(d) None of these
Ans: (a)
VI = 6 and IV = 4 So, 6 > 4
Q26: Compare and fill the box with appropriate symbol.
(a) >
(b) <
(c) =
(d) None of these
Ans: (b)
CCCXXIV + CCLXIX = 324 + 269 = 593 and DCCLII – CLVI = 752 – 156 = 596
So, 593 < 596
Q27: Number 75 is written as:
(a) LXV
(b) LXXV
(c) CXV
(d) LVV
Ans: (b)
75 = 50 + 10 + 10 + 5 = LXXV
Q28: Which Roman numeral represents the greatest three digit number?
(a) IXIXIX
(b) CMIXIX
(c) CMXCIX
(d) CMIIC
Ans: (c)
The greatest 3-digit number is 999.
999 = 900 + 90 + 9 = (1000 - 100) + (100 - 10) + (10 - 1) = CMXCIX
Q29: Write the expanded notation for 3,00,123:
(a) 300000 + 100 + 20 + 3
(b) 300000 + 00000 + 0000 + 20 + 3
(c) 300000 + 000 + 100 + 20 + 3
(d) 300000 + 00 + 100 + 20 + 3
Ans: (a)
Expanded form of 3,00,123
= 3 × 100000 + 0 × 10000 + 0 × 1000 + 1 × 100 + 2 × 10 + 3
= 300000 + 0 + 0 + 100 + 20 + 3
= 300000 + 100 + 20 + 3
Q30: What number is 1000 more than 69,090?
(a) 79,000
(b) 70,900
(c) 70,090
(d) 70,009
Ans: (c)
1000 more than 69,090 = 69,090 + 1000 = 70,090
Q31: Sandhya’s user ID is a 5-digit number. In which, ‘9’ is in the ten thousands place, ‘0’ is in the ones place, ‘8’ is in the thousands place, ‘4’ is in the tens place and ‘2’ is in the hundreds place. What is her user ID?
(a) 90,842
(b) 98,240
(c) 89,204
(d) 98,420
Ans: (b)
9 at (Ten Thousands Place)
0 at (Ones Place)
8 at (Ten Thousands Place)
2 at (Hundreds Place)
4 at (Tens Place)
So, required 5-digit number is 98240.
Q32: How many beads should be removed from the tens place and hundreds place in the abacus shown here if it has to represent number 28 tens less than the number shown in the abacus?
(a) 2, 2
(b) 8, 2
(c) 2, 1
(d) 3, 0
Ans: (b)
Abacus shows the number = 686
28 tens (280) less than the number shown on abacus = 686 – 280 = 406
So, we need to remove 8 beads from tens place and two beads from hundreds place.
Q33: What is the difference between the greatest and the least three digit numbers formed by using X, L, C and D?
(a) DCXL
(b) DCLX
(c) CDXL
(d) CCXX
Ans: (d)
The greatest number = DCLX = 660
The least number = CDXL = 440
Difference = 660 – 440 = 220 = CCXX
Q34: Choose the correct option from the following.
(a) 516 < DCVI
(b) 256 = CCLVII
(c) 408 ≠ CDVIII
(d) 1005 > MD
Ans: (a)
(a) DCVI = 500 + 100 + 5 + 1 = 606 > 516
(b) CCLVII = 100 + 100 + 50 + 5 + 1 + 1 = 257 ≠ 256
(c) CDVIII = (500 – 100) + 5+ 1 + 1 + 1 = 408 = 408.
(d) MD = 1000 + 500 = 1500 > 1005
Q35: If the second smallest 5-digit even number is formed by using all the digits 9, 2, 0, 4 and 3, then the digit in the ten thousands place stands for .................. hundreds.
(a) 204
(b) 240
(c) 200
(d) 203
Ans: (c)
Smallest 5-digit even number formed by 9, 2, 0, 4, 3 = 20394
Second smallest 5-digit even number formed by 9, 2, 0, 4, 3 = 20934
So, the digit in the ten thousands place stands for 200 hundreds.
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