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WorksheetsMath and Logic Quiz
Total questions: 64
Worksheet time: 57mins
How many 3 digit odd numbers are divisible by 3 ?
150
200
175
250
A wizard has a 70% chance of hitting a target. If he casts 5 spells, what’s the probability he hits exactly 3 times ?
30.87%
34.3%
13.23%
15.43%
You have X wine bottles, one is poisoned. Any amount of poison is fatal in exactly 24 hours. You have 10 testers and only 24 hours to find the poisoned bottle. What is the maximum number of bottles (X) you can test for poison?
What is the total number of possible motor vehicle registration plates for Delhi, each following the format (DL 12Q 8702), where the digits 0 to 6 are used, and a consonant is placed at the alphabetical position? Both consonants and digits cannot be repeated in a number plate.
95760
105,840
95,040
17,640
If A X B means A is to the south of B; A + B means A is to the north of B; A % B means A is to the east of B; A – B means A is to the west of B; then in P % Q + R – S, S is in which direction with respect to Q?
South-West
South-East
North-East
North-West
There are 5 people in a room labeled Person n ( for all n from 1 to 5 ), each person is either a truth teller who always tells the truth or a liar who always lies. Each person knows the type of everyone else. Each person is asked “how many liars are among you ?” The following responses are recorded- person 1 says “1”, person 2 says“2”, person 3 says ”3”, person 4 says “4” and person 5 says ‘5”. How many liars are actually present in the room ?
What is the number of digits in 2^500?
Initially, there are 100 closed lockers lined up in a row. A series of 100 people each take turns performing actions on the lockers: the first person opens every locker, the second person toggles (opens if closed, closes if open) every second locker starting from the second locker, the third person toggles every third locker starting from the third locker, and so on. At the end of these actions, find the 2nd largest locker number that remains open?
96
89
81
64
Eight identical sized squares of paper have been placed on top of one another in a particular order so that they overlap as shown. Enter the order in which they have been positioned, working from the top sheet down to the bottom sheet.
How much do you have to deposit today in order to be able to withdraw 100 rupees at the end of each year for the next 20 years if the deposit earns 5% per annum? Round off to the nearest integer.
A company has 18 offices spread over 5 floors, with at least one office per floor. Select the TRUE statement (regardless of the distribution of offices between floors)
If there is a floor with six offices, there is another one with at least three.
If there is a floor with two offices, there is another one with at least five.
There are certainly two floors with at least three offices each.
If there is a floor with exactly one office, there is another one with at least seven.
Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is:
1:3
3:2
3:4
None of these
Statements: Some actors are singers. All the singers are dancers. Conclusions: 1. Some actors are dancers. 2. No singer is an actor.
Only (1) conclusion follows
Only (2) conclusion follows
Either (1) or (2) follows
Both (1) or (2) follows
Neither (1) nor (2) follows
A country football club had a good season and won 30% of the 60 games they played. Their average then raised to 50%. How many games in a row did the team have to win to reach these figures?
12
20
24
30
In a parade, every participant wears a mask that is Gold, Silver, or Bronze. They can see all other masks but not their own. The parade master announces: “Each colour is worn by at least one person here.” Over the next days, each colour group leaves together once they deduce their own colour. On day 5, the Silver group leaves. On day 7, the Gold group leaves. How many Silvers were there?
4
5
6
7
Find x if (121/10)^x = 3.
After a long disagreement, Mr. E, Mr. M and Mr. H agree to enter into a three-way duel, or a truel. They will stand in a triangle formation, each positioned at the vertices, each equidistant from the other two shooters. Mr. E is the worst shot, he only hits 1/3rds of the time, so he gets to shoot first. Mr. M is second-worst, hitting 2/3rds of the time, so he gets to shoot second. Mr. H is an ace, and he hits 100 percent of the time, so he will have to wait and shoot third. The three men are aware of these facts and act rationally. They will take turns shooting in this order until only one man is left standing. Mr. E is about to take his shot. Which of the following options ensures Mr. E has the highest chance of survival?
He should shoot into the air.
He should shoot first at Mr. H and then if Mr. H survives, at Mr. M if he gets the chance.
He should shoot first at Mr. M and then if Mr. M survives, at Mr. H if he gets the chance.
He should shoot every time he gets the chance at Mr. H.
Consider the paths of length 16 on an 8X8 grid that follow the gridlines from the lower left to the upper right corner. How many such paths exist that change direction exactly 4 times after starting in the upward direction as shown?
153
150
147
149
Find Area of the large square:
the upward direction as shown? [Shreshth Rai]
153
150
147
149
Find Area of the large square: Fill in Blank: 135 [Aaarat Chadda]
(a)
N E L S O N +C A R S O N =R E W A R D Given N is 5, Find the Value of Reward: 723970 [Aaarat Chadda]
(a)
what is the probability of a straight flush. Straight flush is 5 concecutive ranks, sequences: A-2-3-4-5, 2-3-4-5-6, ..., 10-J-Q-K-A. [shivaay D.]
5x10^-5
1.5x10^-4
5x10^-4
1.5x10^-5
a sequence is formed by dividing each number by 3 and the alternatively adding 4 then subtracting 5 from 12, 63, 84, 207, ____. what is next? [shivaay D.]
8
16
32
64
128
You have 9 visually identical coins, exactly one is lighter. You may use a balance scale twice. Which procedure guarantees you will find the lighter coin? [shivaay D.]
Weigh 4 coins vs 4 coins. If they balance, weigh one of the remaining coins against another; otherwise take two coins from the lighter side and weigh them.
Weigh 3 coins vs 3 coins. If they balance, weigh one of the remaining three against another; otherwise weigh two coins from the lighter trio against each other.
Weigh 2 coins vs 2 coins. Based on the result, choose two coins and weigh them.
Weigh 5 coins vs 4 coins. If the heavier side is known, weigh one coin from that side against another.
For digits 0–9, which digits have the same last digit for all powers ≥2? [shivaay D.]
azyb, xcdw, evuf, tghs, (a) ? [shivaay D.]
if a fly has to go 1 corner of a room to another(diagonally opposite), what is the shortest distance will have to travel, if the dimensions of the room are 3m,4m,5m. [shivaay D.]
(a)
a clock shows 10:10, what is the angle b/w the minute and hr hand? [shivaay D.]
(a)
4 friends A, B, C and D each like a different subject ML, maths, physics and ECE. A doesn’t like ML, C doesn’t like maths and physics, B doesn’t like ECE and physics, D likes ECE. [shivaay D.] Which option correctly matches each person with their subject?
D likes ECE, C likes ML, B likes Maths, A likes Physics
D likes ECE, C likes Physics, B likes ML, A likes Maths
D likes ECE, B likes Physics, A likes Maths ,C likes ML
D likes ECE, C likes Maths, B likes ML, A likes Physics
Roses are red, violets are blue. All roses are plants. All plants are tall. Which of these follows based only on these axioms? [shivaay D.]
Some roses are tall.
All roses are tall.
Some tall things are roses
None of the above
When number 1 is at the top, which number will come at the bottom? (LR) [Shubhank]
1
2
3
6
Read the following information carefully and answer the questions which follow. (LR) [Shubhank] (i) ‘P × Q’ means ‘P is brother of Q’. (ii) ‘P – Q’ means ‘P is mother of Q’. (iii) ‘P + Q’ means ‘P is father of Q’. (iv) ‘P ÷ Q’ means ‘P is sister of Q’. Which of the following means ‘M is the niece of N’?
M × R – N
N ÷ J + M ÷ D
N + J ÷ M
N × J – M
None of these
Ranu is 48 yr old. Robin is 6 yr junior to Ranu and 14 yr senior to Rohit. Ranu has two children Neetu and Vinu. Youngest sister of Rohit is Krishna and she is 15 yr junior to him. What is the age of Krishna? (MATHS) [Shubhank]
13 yr
15 yr
14 yr
12 yr
Some equal cubes are arranged in the form of a solid block as shown in the adjoining figure. All the visible surfaces of the block (except bottom) are then painted. How many cubes do not have any of the faces painted? (MAT) [ANUGYA]
27
32
36
40
Consider the following statements P : Suman is brilliant Q : Suman is rich R : Suman is honest The negation of the statement "Suman is brilliant and dishonest if and only if Suman is rich" can be expressed as (Arithmetic Reasoning) [ANUGYA]
(P∧~R)↔Q
~(P∧R)↔Q
Q↔(P∧~R)
~(Q↔(P∧~R))
Section P shows three views of a regular dice. TEN of such regular dice are stacked on an opaque table as shown in Section Q (two views of the same arrangement). What is the maximum sum that can be achieved adding the numbers on the visible surfaces from all angles? [Shanjan]
(a)
The bar graph below shows the production of laptops (in thousand units) from six factories F1, F2, F3, F4, F5, and F6 during two consecutive years 2021 and 2022. [ Nikunj Gupta ] Based on the graph , answer the following questions below : 1. Total production of F5 (both years) is what percent of total production of F3 (both years)? 2. What percent of the average production of F1, F2, F3 in 2022 is the average production of F1, F3, F6 in 2021? 3. Average production of all factories (in thousand units) for the year 2021: 4. Percentage increase in total company production from 2021 to 2022:
78.05%
84.15%
98.5%
82.32%
80.12%
Select the option that is related to the fifth number in the same way as the second number is related to the first number and fourth number is related to third number. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g.13 - Operations on 13 such as adding /deleting /multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed) [Aaryaman Bisht] 139 : 228 :: 122 : 211 :: 2 : ?
91
198
89
189
139 : 228 :: 122 : 211 :: 2 : ?
91
198
89
189
Choose the correct alternative from the given ones that will complete the series: 22,26,53,69,194,?
230
260
250
245
Select the odd one out.
Roots of the equation x2 + bx - c = 0 (b,c>0) are
of opp sign
both positive
both negative
none of the above
3,4,7,7,13,13,21,22,31,34,x Find x
42
43
51
53
There is a group of six students M, N, O, P, Q and R in a class. Each of the six students opts for two subjects, one compulsory and the other optional subject. Who is the female student in the group?
M
N
O
P
How many numbers with at most 3 digits, having distinct digits, have a product of digits equal to 28?
8
6
4
12
A mixture P is formed by removing a certain amount of coffee from a coffee jar and replacing the same amount with cocoa powder. The same amount is again removed from mixture P and replaced with the same amount of cocoa powder to form a new mixture Q. If the ratio of coffee and cocoa in the mixture Q is 16 : 9, then the ratio of cocoa in mixture P to that in mixture Q is:
1:3
9:5
8:3
5:9
Pipe A, B and C are kept open and together fill a tank in t minutes. How long will it take C alone to fill the tank?
18
36
24
27
If A is the sister of B, B is the daughter of C, C is the wife of D, and D is the brother of E, how is E related to A?
Uncle
Nephew
Father
Cousin
Find the number that will come in the place of the question mark. Series: 4, 18, ?, 100, 180, 294, 448.
62
48
86
92
Find the number which would come in place of the question mark. Series: 1, 5, 19, 81, ?
401
405
411
420
Find the missing number?
Find the next number in sequence 5,16,24,72, ?
(a)
Pointing to a man, a woman said, “His mother is the only daughter of my mother.” How is the woman related to the man?
Sister
Aunt
Daughter
Mother
A man starts with 40 chocolates. Every 4 wrappers can be exchanged for 1 chocolate. What is the maximum number of chocolates he can eat?
43
44
53
50
At Gada electronics, Jethalal decides to mark up his electronic goods 50% on cost price to make good profit. To further entice customers, he offers subsequent discounts of 10% + 10% on the marked price. What is the profit percentage Jethalal ultimately earns from his sales?
20%
21.5%
25%
30%
y, the farmer decides to experiment: they remove some of the mixture and replace it with water, which reduces the milk concentration by 10%. How many liters of water did they actually add?
1
1.4
2
2.8
How many 3-letter words can be formed from the word CARTON without repetition?
60
120
180
210
P and Q take part in a 100m race. P runs at 6kmph. P gives Q a start of 8m and still beats him by 8 seconds. The speed of Q is?
4.5 kmph
4.86 kmph
5.0 kmph
5.2 kmph
Which option will replace the question mark?
Option A
Option B
Option C
Option D
How many individuals in this layout can be reached by just one individual?
3
5
7
8
Find the number of triangles in the given figure.
22
24
26
28
Using only these jugs, what is the minimum sequence of steps to obtain exactly 4 litres in the 5-litre jug?
F5 → P5→3 → E3 → P5→3 → F5 → P5→3
F3 → P3→5 → E5 → P3→5 → F3 → P3→5
F5 → P5→3 → E3 → P5→3 → E5 → F5
F5 → E5 → F5 → P5→3 → E3
Can the remaining 63 squares be completely tiled by L-shaped trominoes, no overlaps and no gaps?
Yes — for any single removed square.
No — it depends on which square is removed.
Yes — but only if the removed square is at the center.
No — because 63 is not divisible by 4.
