Explanation:
/, x and = ✅
Correct Answered:
Wrong Answered:
1. In the following equation, by using which mathematical operator will the expression become correct?
A
(18?6)?9?27
B
x, / and =
C
/, x and =
D
x, + and =
/, x and = ✅
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Wrong Answered:
2. A mango cost Rs. 7 each. An apple cost Rs. 5 each. If Rs. 38 are spent on these fruits, the number of mangoes purchased is
A
3
B
2
C
4
D
5
4
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3. Knob: Door
A
Water: Tip
B
Ear: Face
C
Power: Battery
D
Error : Omission
A) Water : Tip — water is not a part of a tip.
B) Ear : Face — an ear is part of the face (actually, part of the head, but close).
C) Power : Battery — power is energy provided by the battery, but not a part of it.
D) Error : Omission — error is a kind of omission, but not a part-whole relation.
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4. What is 7 + 7÷7+7×7-7=
A
zero
B
50
C
42
D
57
50
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5. A car completes a certain journey in 8 hours. It covers half the distance at 40 km/hr. and the rest at 60 km/hr. The total distance of the journey is:
A
350 km
B
384 km
C
400 km
D
420 km
384 KM
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6. Find the missing number in the following series:
10, 100, 200, 310, ?
A
430
B
420
C
410
D
440
100 - 10 = 90
200 - 100 = 100
310 - 200 = 110
The differences are increasing by 10 each time (90, 100, 110, ...).
Next difference = 110 + 10 = 120
310 + 120 = 430
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7. Statement: It is desirable to put the child in school at the age of 5 or so. Assumptions: I. At that age the child reaches appropriate level of development and is ready to learn. II. The schools do not admit children after six years of age.
A
Only assumption I is implicit
B
Only assumption II is implicit
C
Neither I nor II is implicit
D
Both I and II are implicit
The statement implies that the child is ready to learn at 5 years, assumption I is implicit. II is not necessarily implied.
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A
i-1, ii-2, iii-3, iv-4
B
i-2, ii-3, iii-4, iv-1
C
i-1, ii-4, iii-2, iv-3
D
i-4, ii-3, iii-1, iv-2
i-2, ii-3, iii-4, iv-1
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9. Assertion (A): If a person moves 10 km north, then 5 km east, the total distance travelled is 15 km. Reason (R): The shortest distance between the starting and ending point is given by the Pythagorean theorem.
A
Both A and R are true, and R correctly explains A.
B
Both A and R are true, but R does not explain A.
C
A is true, but R is false.
D
A is false, but R is true.
Total distance is indeed 15 km (true), but Pythagoras gives displacement, not distance, so R does not explain A.
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A
ORW
B
MPU
C
MRW
D
OPW
The pattern follows alphabetical shift. NQV corresponds to ORW.
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A
Grandfather
B
Father-in-law
C
Brother
D
Uncle
P ? father of Q and R. R is father of S. Hence P is grandfather of S.
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12. Assertion (A): The coin when flipped next time will come up tails. Reason (R): Because the coin was flipped five times in a row, and each time it came up heads.
A
Both (A) and (R) are true, and (R) is the correct explanation of (A).
B
Both (A) and (R) are false, and (R) is the correct explanation of (A).
C
(A) is doubtful, (R) is true, and (R) is not the correct explanation of (A).
D
(A) is doubtful, (R) is false, and (R) is the correct explanation of (A).
Past coin flips do not influence future outcomes, hence A is doubtful, R is true but not valid explanation.
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Wrong Answered:
A
Both (A) and (R) are true but (R) does not provide sufficient reason for (A).
B
Both (A) and (R) are true and (R) provides sufficient reason for (A).
C
(A) is true but (R) is false
D
(A) is false but (R) is true
Both statements are true but `some men are not perfect` does not fully justify `no man is perfect`.
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Wrong Answered:
A
86
B
97
C
90
D
79
Differences are +11, +13, +15, +17 ? Next difference = +19, hence 78+19=97.
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A
Conductor: Bus
B
Producer: Theatre
C
Thespian: Play
D
Director: Drama
A diva performs in an opera, similarly a thespian performs in a play.
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Wrong Answered:
16. In a certain code-language, CUL, WAP, DIR means red little box; SUT, MAD, BIX means well arranged pile; BIX, FAC, DIR means pile of boxes. The code for `OF` here is:
A
FAC
B
SUT
C
DIR
D
BIX
From `BIX, FAC, DIR` = `pile of boxes`, DIR=boxes, BIX=pile, FAC=of.
Correct Answered:
Wrong Answered:
A
256535475
B
236456473
C
234567897
D
658905468
Mapping = sum of digits of letter position: K(11)->2, N(14)->5, O(15)->6, W(23)->5, L(12)->3, E(5)->5, D(4)->4, G(7)->7, E(5)->5 => 256535475.
Correct Answered:
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18. In a certain language if A is written as 1, B as 2, C as 3 and so on. What do the figures 12, 9, 7, 8, 20 stand for?
A
LIANG
B
MIEGE
C
LIGNE
D
LIGHT
12=L, 9=I, 7=G, 8=H, 20=T => LIGHT.
Correct Answered:
Wrong Answered:
A
758374
B
638182
C
739182
D
737172
Pattern: odd-position digits +1, even-position digits -1. So 6->7,4->3,8->9,2->1,7->8,3->2 => 739182.
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A
140
B
154
C
146
D
150
Pattern: next = current*2 + 2n (n = 1,2,3...). 1*2+2=4; 4*2+4=12; 12*2+6=30; 30*2+8=68; Next: 68*2+10 = 146.
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A
189
B
196
C
195
D
190
Pattern: t_{n+1} = t_n * n - (n+1) for n starting at 1: 6*1-2=4; 4*2-3=5; 5*3-4=11; 11*4-5=39; Next: 39*5-6 = 195-6 = 189.
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A
60
B
26
C
64
D
28
Pattern: ×2, -4, ×2, -4, ×2, -4 ... So after 32 -> 32-4 = 28.
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23. Prabudh walks 8 km eastwards, then turns right and goes 4 km, then he turns left and goes 5 km. Which direction is he facing now?
A
East
B
North
C
South
D
West
Start facing East -> right = South -> left = East. So facing East.
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A
FHJ : USQ
B
VTQ : EGJ
C
XVT : CEG
D
RPN : IKM
All pairs except B follow the pattern left letters decreasing by 2 each and right letters increasing by 2 each. Option B has a -2,-3 / +2,+3 pattern, so it`s the odd one.
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25. Rekha is the wife of Neeraj. Pranav is the son of Rekha. Arvind is the brother of Neeraj and father of Soham. How is Rekha related to Soham?
A
Sister
B
Cousin
C
Aunt
D
Mother
Neeraj and Arvind are brothers; Arvind is Soham`s father, so Rekha (Neeraj`s wife) is Soham`s aunt.
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26. Introducing Mira to guests, Mohan said, `Her father is the only son of my father`. How is Mira related to Mohan?
A
Sister
B
Daughter
C
Mother
D
Niece
`The only son of my father` refers to Mohan himself, so Mira`s father is Mohan; Mira is his daughter.
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A
JOY
B
LAUGHTER
C
FROWN
D
WEEP
Sorrow is associated with cry; mirth is associated with laughter.
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A
Congratulations : Occasion
B
Diligent : Successful
C
Measure : Scale
D
Humiliation : Exaltation
Ecstasy and gloom are opposites; humiliation and exaltation are opposites.
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29. In the New Year`s party 500 people were invited. 200 people opted for Indian food, 150 ate Italian food and 100 people took continental food. 14 people have taken both Indian and Italian food, 10 people have taken both Italian and continental food and 15 people have eaten both Indian and continental food. 6 people have taken all three kinds of food. Find how many people have only Italian food?
A
150
B
120
C
110
D
101
Only Italian = Italian - (Indian∩Italian) - (Italian∩Continental) + (All three) = 150 -14 -10 +6 = 132. (Note: 132 is not among the given options.)
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30. In a class of 50 students, 10 students play badminton and 20 students play volleyball and 4 students play both the games. Find the number of students who don`t play either badminton or volleyball.
A
24
B
22
C
30
D
20
Total playing = 10+20-4 = 26, so not playing = 50-26 = 24.
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31. PQRS is a quadrilateral and PQ || RS. T is the mid‑point of PQ. ST || QR. If the area of the triangle ΔPTS is 50 cm² then the area of quadrilateral PQRS is:
A
150 cm²
B
200 cm²
C
180 cm²
D
220 cm²
Using a coordinate model (scale factor), area of ΔPTS in model = 1/2; quadrilateral area in model = 3/2. So quadrilateral area = (3/2)/(1/2) * 50 = 3 * 50 = 150 cm².
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32. A wall having dimensions 6 m long, 5 m high and 0.5 m thick is constructed by using bricks having measurements 25 cm x 12.5 cm x 7.5 cm. If 10% of the wall is filled with mortar, the number of bricks required to construct the wall is:
A
6250
B
6160
C
5760
D
5920
Wall volume = 6*5*0.5 = 15 m^3 = 15,000,000 cm^3. Effective brick volume = 90% of wall = 13,500,000 cm^3. Brick vol = 25*12.5*7.5 = 2343.75 cm^3. Number = 13,500,000/2343.75 = 5760.
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33. Two pipes P and Q can fill an empty tank in 20 minutes and 10 minutes respectively. R can empty a full tank in x minutes. If all three pipes are opened simultaneously, tank is full in 12 minutes. The value of x is:
A
18 minutes
B
20 minutes
C
30 minutes
D
15 minutes
1/20 + 1/10 - 1/x = 1/12 => 3/20 - 1/x = 1/12 => 1/x = 3/20 - 1/12 = 1/15 => x = 15 minutes.
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34. Physics, Chemistry and Mathematics books have to be stacked in such a way that all the books are stored subject wise and the number of books in each stack is the same. The number of physics books is 1008, chemistry books 720 and mathematics books 288. Determine the total number of stacks required for physics, chemistry and mathematics books.
A
14
B
15
C
16
D
12
Max books per stack = GCD(1008,720,288)=144. Number of stacks = 1008/144 + 720/144 + 288/144 = 7+5+2 = 14.
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35. Four bells ring simultaneously at 9 am. They ring at regular intervals of 10 minutes, 20 minutes, 30 minutes, 40 minutes respectively. The next time when all the four bells ring together is:
A
11 am
B
10:30 am
C
1:00 pm
D
11:30 am
LCM of 10,20,30,40 = 120 minutes = 2 hours. Next together at 9am + 2 hours = 11 am.
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