Section 1: Analytical Reasoning / Maths IQ
Question 1
What is the next number in the sequence?
4, 9, 19, 39, ___
Jawab: 79
Hal:
Har number ko 2 se multiply karke 1 add kiya ja raha hai.
4 × 2 + 1 = 9
9 × 2 + 1 = 19
19 × 2 + 1 = 39
39 × 2 + 1 = 79
Is liye next number 79 hai.
Question 2
Complete the pattern:
AZ, BY, CX, DW, ___
Jawab: EV
Hal:
Har pair ka pehla letter alphabet mein ek step aage ja raha hai:
A, B, C, D, E
Har pair ka doosra letter alphabet mein ek step peeche ja raha hai:
Z, Y, X, W, V
Is liye next pair EV hoga.
Question 3
Statements:
All investigators are observant.
Some officers are investigators.
Which conclusion necessarily follows?
Jawab: Some officers are observant.
Explanation:
Sab investigators observant hain.
Kuch officers investigators hain.
Is liye jo officers investigators hain, woh observant bhi honge.
Yani kuch officers observant hain.
Question 4
Four officers A, B, C and D are sitting in a row.
A is not sitting at either end.
B is immediately to the left of C.
D is at the far-right end.
Which arrangement is possible?
Jawab: B, C, A, D
Explanation:
D ko far-right end par hona chahiye.
B ko C ke bilkul left side par hona chahiye.
A kisi bhi end par nahi ho sakta.
Arrangement B, C, A, D mein tamam conditions poori hoti hain.
Question 5
A person walks five kilometres north, turns right and walks three kilometres, and then turns right and walks five kilometres. In which direction is the person from the starting point?
Jawab: East
Hal:
Person pehle 5 kilometres north gaya.
Phir right turn lekar 3 kilometres east gaya.
Phir dobara right turn lekar 5 kilometres south gaya.
5 kilometres north aur 5 kilometres south ek doosre ko cancel kar dete hain.
Ab person starting point se 3 kilometres east mein hai.
Is liye jawab East hai.
Question 6
Sana is seventh from the top and eighteenth from the bottom in a merit list. How many candidates are in the list?
Jawab: 24 candidates
Hal:
Formula:
Total candidates = Position from top + Position from bottom − 1
Total candidates = 7 + 18 − 1
Total candidates = 24
1 is liye minus kiya gaya kyun ke Sana ko top aur bottom dono taraf se count kiya gaya tha.
Question 7
An organisation claims that two-factor authentication reduces unauthorised access. Which evidence would most strongly support this claim?
Jawab:
Comparable departments using two-factor authentication experienced fewer unauthorised logins than departments not using it.
Explanation:
Claim yeh hai ke two-factor authentication unauthorised access ko kam karta hai.
Is claim ko support karne ke liye practical comparison sabse strong evidence hoga.
Jin similar departments ne two-factor authentication use kiya, un mein unauthorised logins kam hue.
Is liye yeh evidence claim ko sabse strongly support karta hai.
Question 8
If the server is down, email service becomes unavailable. Email service is currently available. What follows logically?
Jawab: The server is not down.
Explanation:
Statement ke mutabiq:
Agar server down hoga, to email service unavailable hogi.
Lekin email service abhi available hai.
Is liye logically server down nahi hai.
Question 9
Find the next number:
2, 6, 12, 20, 30, ___
Jawab: 42
Hal:
Numbers ke darmiyan difference dekhein:
6 − 2 = 4
12 − 6 = 6
20 − 12 = 8
30 − 20 = 10
Differences hain:
4, 6, 8, 10
Har baar difference mein 2 add ho raha hai.
Next difference 12 hoga.
30 + 12 = 42
Is liye next number 42 hai.
Question 10
In a code, the value of a word equals the sum of the positions of its letters in the English alphabet. What is the value of LAW?
Jawab: 36
Hal:
L alphabet ka 12th letter hai.
A alphabet ka 1st letter hai.
W alphabet ka 23rd letter hai.
Ab in numbers ko add karein:
12 + 1 + 23 = 36
Is liye LAW ki value 36 hai.
Question 11
Statements:
No unverified report is admissible.
Some field reports are unverified.
Which conclusion follows?
Jawab: Some field reports are not admissible.
Explanation:
Koi bhi unverified report admissible nahi hoti.
Kuch field reports unverified hain.
Is liye woh unverified field reports admissible nahi hongi.
Yani kuch field reports not admissible hain.
Question 12
P must be scheduled before Q. Q must be before R. S must be scheduled after R. Who must be scheduled first among these four?
Jawab: P
Explanation:
P ko Q se pehle hona chahiye.
Q ko R se pehle hona chahiye.
S ko R ke baad hona chahiye.
Is tarah order banta hai:
P, Q, R, S
Is liye P sabse pehle scheduled hoga.
Question 13
Out of 40 applicants, 25 passed English, 18 passed Computer Studies and 10 passed both. How many passed at least one of the two subjects?
Jawab: 33 applicants
Hal:
At least one subject pass karne walon ka formula:
English passed + Computer Studies passed − Both subjects passed
= 25 + 18 − 10
= 43 − 10
= 33
10 ko minus is liye kiya gaya kyun ke dono subjects pass karne wale applicants pehle do baar count hue thay.
Is liye 33 applicants ne kam az kam ek subject pass kiya.
Question 14
Investigation is to evidence as diagnosis is to what?
Jawab: Symptoms
Explanation:
Investigation evidence ki madad se ki jati hai.
Isi tarah diagnosis symptoms ki madad se ki jati hai.
Is liye jawab Symptoms hai.
Question 15
Consider the argument:
All secure passwords are long. This password is long. Therefore, it is secure.
Why is the argument invalid?
Jawab: A long password is not necessarily secure.
Explanation:
Statement yeh kehta hai ke secure passwords long hote hain.
Lekin is ka yeh matlab nahi ke har long password secure bhi hoga.
Misal:
123456789012345 ek long password hai, lekin ise guess karna asaan hai.
Is liye sirf password ka long hona us ke secure hone ko prove nahi karta.
Question 16
Five persons P, Q, R, S and T are standing in a queue.
P is before Q.
R is after Q.
S is before P.
Which persons must be before R?
Jawab: S, P and Q
Explanation:
P, Q se pehle hai.
R, Q ke baad hai.
S, P se pehle hai.
Is se order banta hai:
S, P, Q, R
Is liye R se pehle S, P aur Q teeno lazmi honge.
T ki position confirm nahi hai.
Analytical Reasoning, Maths and IQ Questions
Question 48
Find the missing term in the series:
2, 10, 20, 38, 64, ___
Jawab: 98
Hal:
Pehle consecutive numbers ka difference nikalte hain:
10 − 2 = 8
20 − 10 = 10
38 − 20 = 18
64 − 38 = 26
Differences hain:
8, 10, 18, 26
Yahan:
8 + 10 = 18
8 + 18 = 26
Isi pattern ke mutabiq:
8 + 26 = 34
Ab next term:
64 + 34 = 98
Is liye intended answer 98 hai.
Note:
Yeh series thori ambiguous hai, kyun ke is par doosre mathematical patterns bhi ban sakte hain. Lekin diye gaye intended pattern ke mutabiq answer 98 hai.
Question 49
The ratio of A and B is 3:4. A is increased by 20% and B is increased by 10%. What is the new ratio?
Jawab: 9:11
Hal:
Given ratio:
A:B = 3:4
A mein 20% increase:
New A = 3 × 120/100
New A = 3.6
B mein 10% increase:
New B = 4 × 110/100
New B = 4.4
New ratio:
3.6:4.4
Decimal remove karne ke liye dono ko 10 se multiply karein:
36:44
Dono ko 4 se divide karein:
9:11
Is liye new ratio 9:11 hai.
Question 52
Statement:
All doctors are educated.
Some educated people are rich.
What valid conclusion can be made about doctors being rich?
Jawab:
Doctors ke rich hone ke bare mein koi definite conclusion nahi nikala ja sakta.
Explanation:
Sab doctors educated hain.
Kuch educated people rich hain.
Lekin yeh zaroori nahi ke woh rich educated people doctors bhi hon.
Is liye hum yeh nahi keh sakte ke kuch doctors rich hain ya tamam doctors rich hain.
Question 53
A container contains a mixture of milk and water in the ratio of 4:1. When 10 litres of the mixture are taken out and 10 litres of water are added, the ratio becomes 2:3. How many litres of milk were originally in the container?
Jawab: 16 litres
Hal:
Total original mixture = x litres
Milk = 4x/5
Water = x/5
10 litres mixture remove kiya gaya.
Removed mixture mein milk:
10 × 4/5 = 8 litres
Removed mixture mein water:
10 × 1/5 = 2 litres
Remaining milk:
4x/5 − 8
Remaining water:
x/5 − 2
Ab 10 litres water add kiya gaya:
New water:
x/5 − 2 + 10
= x/5 + 8
New ratio milk aur water ka 2:3 hai:
(4x/5 − 8)/(x/5 + 8) = 2/3
Cross multiplication:
3(4x/5 − 8) = 2(x/5 + 8)
12x/5 − 24 = 2x/5 + 16
12x/5 − 2x/5 = 40
10x/5 = 40
2x = 40
x = 20 litres
Original milk:
4/5 × 20 = 16 litres
Question 54
The ratio of milk to water is 5:1. After adding 12 litres of water, the ratio becomes 5:3. How much milk is present?
Jawab: 30 litres
Hal:
Milk = 5x
Water = x
12 litres water add karne ke baad:
New water = x + 12
New ratio:
5x/(x + 12) = 5/3
Cross multiplication:
3 × 5x = 5(x + 12)
15x = 5x + 60
10x = 60
x = 6
Milk:
5x = 5 × 6
Milk = 30 litres
Question 55
A machine converts 2 into 6. If the same pattern is followed, what will it convert 5 into?
Jawab:
Agar rule number ko 3 se multiply karna hai, to jawab 15 hoga.
Hal:
2 × 3 = 6
Isi assumed rule ke mutabiq:
5 × 3 = 15
Note:
Sirf 2 ko 6 mein convert karne ki ek example se exact rule determine nahi hota. Bohat se rules 2 ko 6 bana sakte hain. Answer 15 sirf tab hoga jab rule ×3 ho.
Question 60
Seven students A, B, C, D, E, F and G are sitting in a row facing north.
A sits third to the left of D.
B sits immediately to the right of A.
E is not at either end.
F sits exactly between C and G.
G is at the extreme right end.
D is not adjacent to G.
Who is immediately to the left of G?
Jawab: F
Hal:
G extreme right end par hai:
_ _ _ _ _ _ G
F exactly C aur G ke beech mein hai.
Is liye last three positions:
C F G
Ab A, D ke third left par hai aur B, A ke immediately right par hai.
Possible final arrangement:
A B E D C F G
Is arrangement mein G ke immediately left par F hai.
Question 61
Seven students are sitting around a circular table facing the centre.
A sits second to the left of C.
B is an immediate neighbour of both A and D.
E sits directly opposite B.
F is not adjacent to either C or E.
G sits immediately to the right of C.
Who is immediately to the left of E?
Jawab:
Question as written logically invalid hai.
Explanation:
Circular table par total 7 students baithe hain.
Odd number, yani 7 seats, mein kisi person ke bilkul directly opposite koi single seat nahi hoti.
Directly opposite seat sirf even number of seats, jaise 6 ya 8, mein hoti hai.
Is liye “E sits directly opposite B” ki condition 7 students ke sath possible nahi hai.
Is question ka definite answer nahi nikala ja sakta.
Question 62
Find the next number in the series:
3, 7, 15, 31, 63, ___
Jawab: 127
Hal:
Har number ko 2 se multiply karke 1 add kiya gaya hai:
3 × 2 + 1 = 7
7 × 2 + 1 = 15
15 × 2 + 1 = 31
31 × 2 + 1 = 63
63 × 2 + 1 = 127
Question 63
Find the next number in the series:
2, 5, 11, 23, 47, ___
Jawab: 95
Hal:
Har number ko 2 se multiply karke 1 add kiya gaya hai:
2 × 2 + 1 = 5
5 × 2 + 1 = 11
11 × 2 + 1 = 23
23 × 2 + 1 = 47
47 × 2 + 1 = 95
Question 2
An intelligence courier starts inside a sovereign country that is completely surrounded by one other country. The courier travels 4,000 km south, 4,000 km west, 4,000 km north and then 4,000 km east. Considering the spherical shape of Earth, where will the courier finish?
Jawab:
Exact final location determine nahi ki ja sakti.
Explanation:
Starting country ya exact latitude and longitude nahi bataye gaye.
Earth spherical hai, is liye east aur west direction mein 4,000 km travel karne se longitude ka change latitude ke mutabiq different hota hai.
Misal ke taur par:
Agar starting location northern hemisphere mein ho, result different ho sakta hai.
Agar starting location southern hemisphere mein ho, result doosra ho sakta hai.
Is liye yeh kehna ke courier lazmi west mein ya neighbouring country mein end karega, mathematically certain nahi hai.
Question ke liye exact starting location zaroori hai.
Question
Four logicians A, B, C and D are assigned fixed identities. Two always tell the truth and two always lie.
You ask A, “Is B a liar?”
A whispers an answer that only you hear.
You ask B, “What did A just say?”
B replies, “A said that C is a liar.”
D then says, “Do not believe him. B is lying.”
What can be deduced with certainty?
Jawab: D is a truth-teller.
Explanation:
A se sawal B ke bare mein poocha gaya tha:
“Is B a liar?”
A ne sirf isi sawal ka jawab diya hoga.
Lekin B ne kaha:
“A said that C is a liar.”
A se C ke bare mein sawal hi nahi poocha gaya tha.
Is liye B ka statement false hai.
B liar hai.
D ne kaha:
“B is lying.”
Yeh statement true hai.
Is liye D lazmi truth-teller hai.
Question 12
Two perfectly straight, infinitely long and non-parallel railroad tracks are constructed on a flat plain.
A locomotive travels on Track 1 at 100 km/h and another travels on Track 2 at 50 km/h.
At 12:00 PM, 1:00 PM and 2:00 PM, the distance between them remains exactly 10 km.
What is the angle between the tracks?
Jawab:
Aisi situation possible nahi hai.
Explanation:
Dono trains straight tracks par constant speed se move kar rahi hain.
Un ki speeds different hain:
100 km/h aur 50 km/h
Agar tracks non-parallel hain aur relative velocity zero nahi hai, to dono trains ke darmiyan distance waqt ke sath change hona chahiye.
Distance teen different times par bilkul same rehna constant relative position ko show karta hai.
Constant relative position ke liye dono trains ki velocity direction aur magnitude same honi chahiye.
Lekin un ki speeds different hain.
Is liye conditions aapas mein contradictory hain.
Angle 0° bhi correct jawab nahi hai, kyun ke question explicitly tracks ko non-parallel kehta hai.
Question 13
A container contains water and milk in the ratio of 4:1. After adding 2 litres of water, the ratio becomes 3:2. How many litres of water does the new mixture contain?
Jawab:
Question as written impossible hai.
Explanation:
Original water:milk ratio 4:1 hai.
Is ka matlab water milk se chaar guna hai.
Agar aur water add kiya jaye, to water ka ratio aur zyada hona chahiye.
Lekin question kehta hai ratio 3:2 ho gaya, jo 4:1 se kam water ratio hai.
Equation:
Water = 4x
Milk = x
2 litres water add karne ke baad:
(4x + 2)/x = 3/2
Cross multiplication:
2(4x + 2) = 3x
8x + 4 = 3x
5x = −4
x = −0.8
Quantity negative aa rahi hai, jo physically possible nahi.
Agar intended ratio milk:water = 4:1 tha, tab new water 3.2 litres hota.
Question 14
Six people P, Q, R, S, T and U sit around a circular table facing the centre.
P sits second to the left of Q.
R sits opposite S.
T sits between P and U but is not next to Q.
Who sits immediately to the right of R?
Jawab:
Di hui conditions ke sath valid arrangement nahi banti.
Explanation:
Q ko fix karte hain.
P ko Q ke second left par rakhein.
T ko P aur U ke beech mein hona hai aur T, Q ka neighbour nahi ho sakta.
Is condition se P, T aur U ki positions fix ho jati hain.
Bachi hui do seats par R aur S ko baithna hoga.
Lekin bachi hui seats ek doosre ke opposite nahi hoti.
Is liye R opposite S ki condition poori nahi hoti.
Diya gaya arrangement P, T, U, Q, R, S bhi valid nahi hai, kyun ke us mein R aur S opposite nahi, balki adjacent hain.
Question 15
In a code language, BRICK is written as DSKEM and HOUSE is written as JQWUG. How will WALL be written?
Jawab: YCNN
Hal:
HOUSE se pattern clear hai ke har letter ko alphabet mein 2 steps aage move kiya gaya hai:
H → J
O → Q
U → W
S → U
E → G
Isi rule ke mutabiq:
W → Y
A → C
L → N
L → N
Is liye WALL = YCNN
Note:
BRICK ka +2 code asal mein DTKEM hona chahiye:
B → D
R → T
I → K
C → E
K → M
Question mein DSKEM likely typing mistake hai.
Question 16
Statements:
All engineers are managers.
Some managers are doctors.
No doctor is an artist.
Conclusions:
I. Some engineers are doctors.
II. Some managers are not artists.
III. All doctors are engineers.
Which conclusion follows?
Jawab: Only conclusion II follows.
Explanation:
Kuch managers doctors hain.
Koi doctor artist nahi hai.
Is liye jo managers doctors hain, woh artists nahi honge.
Yani:
Some managers are not artists.
Engineers aur doctors ke darmiyan koi definite relation nahi diya gaya.
Is liye conclusion I follow nahi karta.
Yeh bhi nahi kaha gaya ke tamam doctors engineers hain.
Is liye conclusion III bhi follow nahi karta.
Question 17
A, B, C, D and E are five friends.
A is taller than B but shorter than C.
D is taller than E but shorter than B.
C is not the tallest.
Who is the second tallest?
Jawab:
Question ki conditions contradictory hain.
Explanation:
A taller than B:
A > B
A shorter than C:
C > A
D shorter than B:
B > D
D taller than E:
D > E
Complete order:
C > A > B > D > E
Is order mein C lazmi tallest hai.
Lekin question kehta hai C tallest nahi hai.
Yeh condition pehli conditions ke opposite hai.
Is liye valid answer determine nahi ho sakta.
Agar “C is not the tallest” wali condition remove kar di jaye, to A second tallest hoga.
Question 18
Find the missing term:
2, 6, 12, 20, 30, 42, ___
Jawab: 56
Hal:
Differences:
6 − 2 = 4
12 − 6 = 6
20 − 12 = 8
30 − 20 = 10
42 − 30 = 12
Differences hain:
4, 6, 8, 10, 12
Next difference 14 hoga.
42 + 14 = 56
Question 19
If a + b + c = 9 and ab + bc + ca = 26, find:
a³ + b³ + c³ − 3abc
Jawab: 27
Hal:
Formula:
a³ + b³ + c³ − 3abc
= (a + b + c)[(a + b + c)² − 3(ab + bc + ca)]
Given values put karein:
= 9[9² − 3(26)]
= 9[81 − 78]
= 9 × 3
= 27
Question 20
A can complete a work in 12 days. B is 60% more efficient than A. C is 20% less efficient than B. In how many days will A, B and C together complete the work?
Jawab: Approximately 3.09 days
Hal:
A ki one-day efficiency:
1/12
B, A se 60% more efficient hai:
B efficiency = 1.60 × 1/12
= 2/15
C, B se 20% less efficient hai:
C efficiency = 80% of 2/15
= 0.8 × 2/15
= 8/75
Total one-day work:
1/12 + 2/15 + 8/75
LCM 300 lete hain:
1/12 = 25/300
2/15 = 40/300
8/75 = 32/300
Total:
25/300 + 40/300 + 32/300
= 97/300
Required time:
1 ÷ 97/300
= 300/97
= approximately 3.09 days
Is liye 3.5 days wala answer correct nahi hai.
Question 21
The sum of the ages of a father and son is 60 years. Ten years ago, the father’s age was four times the son’s age. What is the son’s present age?
Jawab: 18 years
Hal:
Son ki present age = x
Father ki present age = 60 − x
10 years ago:
Son = x − 10
Father = 60 − x − 10
Father = 50 − x
Condition:
50 − x = 4(x − 10)
50 − x = 4x − 40
50 + 40 = 4x + x
90 = 5x
x = 18
Son ki present age 18 years hai.
Question 22
A mixture contains milk and water in the ratio 5:3. If 16 litres of the mixture are removed and replaced with water, the ratio becomes 3:5. What was the initial quantity of the mixture?
Jawab: 40 litres
Hal:
Initial total mixture = x litres
Initial milk:
5x/8
Initial water:
3x/8
16 litres mixture remove kiya gaya.
Removed milk:
16 × 5/8 = 10 litres
Removed water:
16 × 3/8 = 6 litres
Remaining milk:
5x/8 − 10
Remaining water:
3x/8 − 6
16 litres water add kiya gaya:
New water:
3x/8 − 6 + 16
= 3x/8 + 10
New ratio 3:5 hai:
(5x/8 − 10)/(3x/8 + 10) = 3/5
Cross multiplication:
5(5x/8 − 10) = 3(3x/8 + 10)
25x/8 − 50 = 9x/8 + 30
16x/8 = 80
2x = 80
x = 40 litres
Question 1
If a cat is called goat, a goat is called cow, a cow is called lion and a lion is called tiger, then according to this code language, which animal makes the “meow” sound?
Jawab: Goat
Explanation:
Meow sound asal mein cat karti hai.
Code language mein cat ka naam goat rakha gaya hai.
Is liye coded answer goat hai.
Question 2
A bus starts with 34 passengers. At the first stop, 8 passengers get off and 16 passengers get on. At the next stop, half of the passengers get off. How many passengers remain?
Jawab: 21 passengers
Hal:
Starting passengers:
34
8 utar gaye:
34 − 8 = 26
16 passengers charh gaye:
26 + 16 = 42
Half passengers utar gaye:
42 ÷ 2 = 21
Question 3
An arrow initially points north. It undergoes 23 movements, alternating between a 90° turn and a 180° turn. What is its final direction?
Jawab:
Information incomplete hai.
Explanation:
Question yeh nahi batata:
Pehla turn 90° hai ya 180°.
Turns clockwise hain ya anticlockwise.
Agar pehla turn 90° ho aur tamam turns same direction mein hon:
12 turns of 90° and 11 turns of 180°
Total turn:
12 × 90 + 11 × 180
= 1080 + 1980
= 3060°
3060 mod 360 = 180°
North se 180° turn karne par direction south hogi.
Agar pehla turn 180° ho:
11 × 90 + 12 × 180
= 990 + 2160
= 3150°
3150 mod 360 = 270°
North se 270° clockwise turn par direction west hogi.
Is liye West sirf specific assumption ke under answer hai. Question as written definite nahi hai.
Question 5
Complete the series:
30, 18, 15, 7, ___
Jawab:
Series ka unique answer determine nahi kiya ja sakta.
Explanation:
Differences hain:
18 − 30 = −12
15 − 18 = −3
7 − 15 = −8
Differences mein koi clear regular pattern nahi hai.
Sirf chaar terms se bohat se different rules banaye ja sakte hain.
Is liye 5.5 ko bina additional rule ya options ke prove nahi kiya ja sakta.
Question 6
Find the missing term:
2, 10, 20, 38, 64, ___
Jawab: Intended answer 98
Hal:
Differences:
8, 10, 18, 26
Yahan:
8 + 10 = 18
8 + 18 = 26
Next:
8 + 26 = 34
64 + 34 = 98
Yeh Question 48 ka duplicate hai.
Question 7
A father’s age is three times his daughter’s age. After 12 years, the father will be twice the daughter’s age. What is the daughter’s present age?
Jawab: 12 years
Hal:
Daughter ki present age = x
Father ki present age = 3x
12 years baad:
Daughter = x + 12
Father = 3x + 12
Condition:
3x + 12 = 2(x + 12)
3x + 12 = 2x + 24
x = 12
Question 8
A bag contains 5 red balls and 3 blue balls. Two balls are drawn without replacement. What is the probability that both balls are red?
Jawab: 5/14
Hal:
Total balls:
5 + 3 = 8
First ball red hone ki probability:
5/8
First red ball nikalne ke baad:
Red balls remaining = 4
Total balls remaining = 7
Second red ball ki probability:
4/7
Both red:
5/8 × 4/7
= 20/56
= 5/14
Question 9
Solve:
2^(x + 3) = 32
Jawab: x = 2
Hal:
32 ko power of 2 mein likhein:
32 = 2⁵
Is liye:
2^(x + 3) = 2⁵
Powers equal hongi:
x + 3 = 5
x = 2
Question 10
Find the next number:
3, 8, 27, 112, 565, ___
Jawab: 3396
Hal:
Pattern:
3 × 2 + 2 = 8
8 × 3 + 3 = 27
27 × 4 + 4 = 112
112 × 5 + 5 = 565
Next:
565 × 6 + 6
= 3390 + 6
= 3396
Question 11
In a certain code, FIA is written as GJB and SI is written as TJ. What is the code for EXAM?
Jawab: FYBN
Hal:
Har letter ko alphabet mein one step aage kiya gaya hai:
E → F
X → Y
A → B
M → N
Is liye:
EXAM = FYBN
Question
If a student randomly guesses five multiple-choice questions, each with five possible choices, what is the probability of getting exactly two correct?
Jawab: 128/625, ya 20.48%
Hal:
Har question correct hone ki probability:
1/5
Wrong hone ki probability:
4/5
Exactly 2 correct aur 3 wrong chahiye.
5 questions mein se 2 correct positions choose karne ke tareeqe:
5C2 = 10
Probability:
5C2 × (1/5)² × (4/5)³
= 10 × 1/25 × 64/125
= 640/3125
= 128/625
Percentage:
128/625 × 100
= 20.48%
Question
A city government planted thousands of trees to improve air quality and reduce summer temperatures. After a few years, residents noticed cooler streets and cleaner parks. However, some trees began to die because they were watered regularly. What does the paragraph imply?
Jawab:
Regular watering was unsuitable or excessive for some of the trees.
Explanation:
Passage se yeh pata chalta hai ke kuch trees ko jis tarah regularly water kiya gaya, woh un ke liye harmful tha.
Lekin passage directly yeh nahi batata ke woh specifically low-water species thay.
Is liye “overwatering harmed tree species requiring less water” reasonable inference hai, magar exact wording passage mein nahi di gayi.
Question
A can complete a piece of work in 12 days, while B can complete the same work in 24 days. In how many days will they complete it together?
Jawab: 8 days
Hal:
A ka one-day work:
1/12
B ka one-day work:
1/24
Together:
1/12 + 1/24
= 2/24 + 1/24
= 3/24
= 1/8
Is liye complete work mein 8 days lagenge.
Question
Six investigators A, B, C, D, E and F are sitting around a circular table facing the centre.
A is second to the right of B.
C is opposite D and not adjacent to A.
E is sitting between B and D.
F is neither next to C nor next to A.
What is the position of F?
Jawab:
Standard circular-seating rules ke mutabiq valid arrangement nahi banti.
Explanation:
“Sitting between B and D” ka standard matlab hai ke E, B aur D dono ka immediate neighbour hai.
B ko fix karke A ko second right par rakhein.
C ko D ke opposite rakhna hai aur C, A ka neighbour nahi ho sakta.
Saath hi F, C aur A dono ka neighbour nahi ho sakta.
In tamam conditions ko ek sath apply karne par six seats mein koi valid arrangement nahi milti.
Is liye “F is sitting between B and A” ko supplied information se prove nahi kiya ja sakta.
Question 23
If every letter of FIA is replaced by the next letter of the English alphabet, what will be the code?
Jawab: GJB
Hal:
F → G
I → J
A → B
Is liye FIA = GJB
Question 24
If every letter of PAKISTAN is replaced by the next letter of the English alphabet, what will be the code?
Jawab: QBLJTUBO
Hal:
P → Q
A → B
K → L
I → J
S → T
T → U
A → B
N → O
Is liye:
PAKISTAN = QBLJTUBO
Question 28
Complete the series:
9, 11, 20, 31, ___, 82
Jawab: 51
Hal:
Har next number previous two numbers ka sum hai:
9 + 11 = 20
11 + 20 = 31
20 + 31 = 51
31 + 51 = 82
Is liye missing term 51 hai.
Question 38
If an amount is increased by 20% and then decreased by 20%, what is the net change?
Jawab: 4% decrease
Hal:
Original amount 100 assume karein.
20% increase:
100 + 20 = 120
Ab 120 mein 20% decrease:
20% of 120 = 24
New amount:
120 − 24 = 96
Original amount 100 tha aur new amount 96 hai.
Net decrease:
100 − 96 = 4
Is liye net change 4% decrease hai.
Question 41
If 2 + 2 = 8, 3 + 3 = 18 and 4 + 4 = 32, what will be the value of 5 + 5?
Jawab: 50
Hal:
Pattern normal addition nahi hai.
Rule:
n + n = n × n × 2
Check:
2 × 2 × 2 = 8
3 × 3 × 2 = 18
4 × 4 × 2 = 32
Is liye:
5 × 5 × 2 = 50
Question 33
Complete the pattern:
1 × 2 = 6
2 × 3 = 15
3 × 4 = 28
4 × 5 = ?
Jawab: 45
Hal:
Yahan normal multiplication ke baad doosre number ka square add kiya ja raha hai.
1 × 2 + 2²
= 2 + 4
= 6
2 × 3 + 3²
= 6 + 9
= 15
3 × 4 + 4²
= 12 + 16
= 28
Isi pattern ke mutabiq:
4 × 5 + 5²
= 20 + 25
= 45
Is liye jawab 45 hai.
Question 34
Complete the series:
7, 17, 37, 77, ___
Jawab: 157
Hal:
Har number ko 2 se multiply karke 3 add kiya ja raha hai.
7 × 2 + 3 = 17
17 × 2 + 3 = 37
37 × 2 + 3 = 77
77 × 2 + 3 = 157
Is liye next number 157 hai.
Question 35
A company uses 5 GB of data daily. How much data will it use in 15 days?
Jawab: 75 GB
Hal:
Daily data use = 5 GB
Total days = 15
Total data:
5 × 15 = 75 GB
Is liye company 15 din mein 75 GB data use karegi.
Question 36
Find the next number:
5, 16, 49, ___
Jawab: 148
Hal:
Har number ko 3 se multiply karke 1 add kiya ja raha hai.
5 × 3 + 1 = 16
16 × 3 + 1 = 49
49 × 3 + 1 = 148
Is liye next number 148 hai.
Question 37
Five friends are standing in a circle. How many possible subsets can be formed?
Jawab: 32 subsets
Hal:
Agar kisi set mein n elements hon, to total subsets ka formula hota hai:
Total subsets = 2ⁿ
Yahan friends ki tadaad 5 hai:
2⁵ = 2 × 2 × 2 × 2 × 2
= 32
Is liye total 32 subsets banenge.
Note:
Is answer mein empty subset bhi shamil hai.
Agar sirf non-empty subsets pooche jayein, to:
32 − 1 = 31
Question 38
A person travels 40 km north, then 40 km west, and then 30 km north. How far is he from the starting point?
Jawab: Approximately 80.6 km
Hal:
Person ki total north direction ki movement:
40 + 30 = 70 km north
West direction ki movement:
40 km west
Ab right-angled triangle banega.
Distance ka formula:
Distance = √(70² + 40²)
= √(4900 + 1600)
= √6500
= 80.62 km approximately
Is liye person starting point se approximately 80.6 km door hai.
Question 39
Which box is at the bottom?
Jawab:
Diagram ya boxes ki arrangement ke baghair answer determine nahi kiya ja sakta.
Explanation:
Question mein boxes ka diagram, colours ki positions ya placement conditions nahi di gayin.
Is liye White Box ko correct prove nahi kiya ja sakta.
Is question ko solve karne ke liye original image ya diagram zaroori hai.
Question 40
If WHITE is coded as YJKVG, how will BLACK be coded?
Jawab: DNCEM
Hal:
WHITE mein har letter ko alphabet mein 2 steps aage move kiya gaya hai.
W → Y
H → J
I → K
T → V
E → G
Isi rule ko BLACK par apply karein:
B → D
L → N
A → C
C → E
K → M
Is liye:
BLACK = DNCEM
Note:
Diya gaya answer DMCEM ghalat hai, kyun ke L se 2 steps aage N aata hai, M nahi.
Question 41
Complete the sequence:
Green, Yellow, Blue, White, ___
Jawab: Green
Hal:
Colours ka pattern har 4 terms ke baad repeat ho raha hai:
Green, Yellow, Blue, White
Is ke baad pattern dobara Green se start hoga.
Is liye next colour Green hai.
Question 42
Balls are arranged as Yellow, Green, Blue and White repeatedly. What is the 38th colour?
Jawab: Green
Hal:
Pattern mein 4 colours hain:
1st = Yellow
2nd = Green
3rd = Blue
4th = White
Ab 38 ko 4 se divide karein:
38 ÷ 4 = 9 remainder 2
Remainder 2 ka matlab pattern ka second colour hoga.
Pattern ka second colour Green hai.
Is liye 38th colour Green hai.
Question 43
Which layer of the atmosphere contains about 75% of the atmosphere’s mass?
Jawab: Troposphere
Explanation:
Troposphere atmosphere ki sabse nichli layer hai.
Atmosphere ki approximately 75% mass isi layer mein hoti hai.
Badal, rain, wind aur doosre weather events bhi zyada tar troposphere mein hote hain.
Question 44
If the ozone layer is depleted, which rays reach the Earth in greater amounts?
Jawab: Ultraviolet rays
Explanation:
Ozone layer Suraj se aane wali harmful ultraviolet rays ko absorb karti hai.
Agar ozone layer depleted ho jaye, to zyada UV rays Earth ki surface tak pohanchti hain.
Yeh rays skin cancer, eye damage aur plants ko nuqsan pohancha sakti hain.
Question 45
Compounds containing a triple bond are called what?
Jawab: Alkynes
Explanation:
Hydrocarbons ki basic categories hain:
Single bond wale compounds ko alkanes kehte hain.
Double bond wale compounds ko alkenes kehte hain.
Triple bond wale compounds ko alkynes kehte hain.
Misal:
Ethyne mein carbon atoms ke darmiyan triple bond hota hai.
Question 46
Find the next number:
2, 10, 30, 68, 130, ___
Jawab: 222
Hal:
Har term ko is pattern se banaya gaya hai:
n³ + n
Pehli term:
1³ + 1
= 1 + 1
= 2
Doosri term:
2³ + 2
= 8 + 2
= 10
Teesri term:
3³ + 3
= 27 + 3
= 30
Chauthi term:
4³ + 4
= 64 + 4
= 68
Paanchvi term:
5³ + 5
= 125 + 5
= 130
Next term:
6³ + 6
= 216 + 6
= 222
Is liye next number 222 hai.
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