TCS NQT - Hot Questions Set
TCS NQT - Hot Questions Set
Numerical Ability
Question
Solutions of the inequation x³-8 ≤ 7x-14 are given by:
A) x ≤ -3 or x ≥ 2
B) x ≤ 3 only
C) x ≤ 3 or 1 ≤ x ≤ 2
D) -3 ≤ x ≤ 1 only
Question
A cylinder is 3/4th full of water. Spherical balls are dropped into the
cylinder till the water comes to the brim without spilling. If the diameter
and the height of the cylinder are the same and the diameter of the balls is
half the diameter of the cylinder, then find the number of balls.
A) 6
B) 3
C) 5
D) 9
Question
What is the sample variance of the following data?
10, 14, 12, 14, 16, 18, 20, 14, 13, 12, and 11
A) 81
B) 3
C) 9
D) 14
Question
If the five persons in a lift exited at the sixth floor of an eight floored
building. Each person could have entered it at or Find the probability that
they all entered the lift at distinct floors.
A) 5/216
B) 1/216
C) 5/54
D) 5/108
Question
If | (x - 4) / 3 | ≤ 3 | (y-2) / 4 | ≤ 3, then what is the maximum absolute
difference between x and y?
A) 17
B) 19
C) 23
D) 24
Question
If E=3⁵5³, how many separate factors other than one does E have?
A) 23
B) 18
C) 24
D) 29
Question
3
of 217 × 25 ÷ 5 + x = 639 ÷ 9 + 125 × 7. Simplify the equation to find the
7
value of x.
A) 593
B) 791
C) 481
D) 317
Question
Find the number of integers satisfying the inequality: (3x2-7x-6) (x2-5x+4) < 0
A) 0
B) 3
C) 2
D) 1
Question
In the given figure ABCD is trapezium with AB||DC, AB=28cm and
DC=42cm and the distance between AB and DC is 16cm. If areas of equal
radii 7cm with centres A, B, C and D have been drawn, then find the area of
the shaded region of the figure.
Question
The sum and product of the roots of a quadratic equation E are a and b
respectively. Find the equation P, whose first root is the product of the first
root of E, and the square of the second root of E, and the second root of P is
the product of the second root of E and the square of the first root of E.
A) X2+abx+b3 = 0
B) X2-abx+b3 = 0
C) X2-abx-b3 = 0
D) X2+abx-b3 = 0
Question
A box contains 4 white balls 3 red balls and 5 yellow balls. The ratio of
'number of ways in which 2 balls can be drawn from the box so that at least
one of the balls is yellow" and number of ways in which 2 balls can be
drawn from the box so that exactly one ball is white and one ball is red' is :
A) 35 : 12
B) 21 : 2
C) 15 : 8
D) 15 : 4
Question
Rosy wants to construct a password for an online account consisting of 4
or 5 distinct vowels followed by two distinct numerals, out of 1,3,5 and 7.
If she wants the letters alphabets in the password to appear in the
alphabetical order when read from left to right, then in how many ways can
she construct her password? (Assume that the password is not case
sensitive.)
A) 72
B) 18
C) 36
D) 144
Question
In how many ways can three different numbers from 1, 2, 3, 29, 30 can be
selected such that their sum is divisible by 3?
A) 1110
B) 1000
C) 1100
D) 1360
Question
Ten years ago, the average of the ages of a man and his wife was 35 years.
The average of the present ages of their children (Son and daughter) of 19.
The average of ages of the man and son is 34 years. The difference
between present ages of wife and daughter is 24 years.
A) 19
B) 20
C) 21
D) 22
Question
Find the value of : 6/5 of [(16×33.33% of 48-176)÷4+65
A) 98
B) 126
C) 112
D) 102
Question
If the 5-digit number 972xy is divisible by 7 and 33. What is the value of
(3x-11y)
A) 4
B) 3
C) 1
D) 7
Question
If x = 5.67, y =3.21 then the value of 3x + y is
A) 558/33
B) 668/33
C) 588/33
D) 668/99
Question
Which of the following shows correct relationship?
A) 7/12 + 1/4
B) 3/7 * 14/15 + 2/5
A) A=2B
B) A=B
C) A>B
D) A<B
Question
Solutions of the inequation X³ - 8 ≤ 7x -14 are given by :
A) x ≤ -3 or x ≥ 2
B) -3 ≤ x ≤ 1 only
C) x ≤ -3 only
D) x ≤ -3 or 1 ≤ x ≤ 2
Question
10 years ago Farhan's age was three times that of Rajesh and after 10
years the average age of Rajesh and Farhan would be 30 years, then what
is France present age?
A) 40 years
B) 20 years
C) 25 years
D) 35 years
Question
The monthly savings of A and B are ₹3,640 and ₹4,860, respectively. A’s
income is 250% of his savings and B’s expenses are 60% of his income.
What is the combined expenditure of A and B expressed as a percentage
(to the nearest integer) of their combined income?
A) 67
B) 75
C) 40
D) 60
Question
A lady bought two sarees of Rs. 2,000 each. She sold one at a loss of 10%
and the other at a profit after offering a discount of 5%. She incurred an
overall loss of 3.7%. What percentage above the cost price was the
marked price of the second saree?
A) 3.2
B) 3.6
C) 4
D) 8
Question
A telecom company charged for only outgoing calls at the rate of Rs.A/min.
On the occasion of Diwali, the company reduced charges by 40%, and
thereby a customer can talk 20 minutes more with the balance of Rs. 90.
What is the value of A?
A) 3
B) 2
C) 6
D) 4
Question
A sum of ₹ (P – 500) at 20% per annum compounded annually for two
years is amounted ₹ (P+3020). What is the value of P?
A) 8500
B) 8000
C) 7500
D) 7000
Question
If a2 - 6a – 5 = 0, then find the value of a2 + 25/a2 + 4
A) 27
B) 36
C) 30
D) 24
Question
What amount (in nearest Rupees) must I invest for three years at 10% p a
compounded every year so as to draw an annuity of ₹ 1,00,000 every year?
A) 248685
B) 300000
C) 252428
D) 272727
Question
The difference between the simple interest received from two different
banks on Rs. 8000 for 3 years is Rs. 960. If the first fender lends at the rate
of 12 percent per annum, what is the interest that the second lender will
get on giving Rs. 12000 for 4 years?
A) Rs. 3840
B) Rs. 2420
C) Rs. 1920
D) Rs. 1600
Question
If a = 3+3⅓ + 32/3 , find value of a(a2 – 9a + 18) + 8.
A) 20
B) 0
C) 15
D) 12
Question
If - 5 is a root of the equation 2 X² + PX - 20 = 0 and the quadratic
equation p(x²+x+1) + k-6=0 the equal roots then the value of k satisfies
the equation:
A) 2k²-k-6=0
B) K²-6k+1=0
C) 2k²+k-6=0
D) K²-9k+1=0
Question
The values of x satisfying the inequality X+5 lie in the interval
-------- >3
2x-1
A) ( 1/2 , 8/5 )
B) (1/2 , 8/5 ]
C) [-1/2 , 8/5 ]
D) [-1/2 , 8/5 )
Question
𝑥 2 − 5𝑥 − 5 − 𝑥 2 − 5𝑥 − 13 = 2 ?
A) -7
B) -2
C) 7
D) 2
Question
The greatest integer value of a-5x – 3x2 ≤0 for which for all values of x is
A) -1
B) -2
C) -3
D) 0
Question
A bag contains four blue marbles, six yellow marbles and five red marbles.
Three marbles are drawn at random from the bag. What is the probability
that all the marbles are of the same
A) 24/455
B) 41/455
C) 34/455
D) 29/455
Question
A cylinder is 3/4th full of water, and spherical balls are dropped into the
cylinder till the water comes to the brim without spilling.
If the diameter and height of the cylinder are the same and the diameter of
balls is half the diameter of the cylinder, then find the number of balls.
A) 6
B) 3
C) 5
D) 9
Question
Cost of 4 apples is equal to the cost of 5 mangoes. When the cost of an
apple is decreased by Rs. 0.50 and that of a mango is increased by 10%,
then the cost of a 8 mangoes exceeds the cost of 7 apples by Rs. 4.10.
What is the original cost (in Rs.) of 5 apples and 2 mangoes?
A) 111
B) 121
C) 109
D) 99
Question
In a branch of a company, 4/11 of the employees are men, ½ of the men
are married and 2/3 of the married men have kids. If ¾ of the women are
married and 1/3 of the married women have kids, what parts of the
employees are without kids?
A) 85/132
B) 95/132
C) 65/132
D) 75/132
Question
The value of 1¼ ÷(¾ x 2⅔ of ½ ÷ ¼) – (3/8 of 4/5 ÷ 1⅕) is
A) 1/8
B) 5/8
C) 1/16
D) 1/2
Question
The average of A and B is K and B is N times more than C. If average of A
and C is (K + 2), then what is the value of B?
A) -KN/(2(1+N))
B) -(4(1+N))/N
C) -N/(K+N)
D) -4N/(1+N)
Question
What is the fourth Proportional between the mean proportional of (6, 24); 15
and 0.2?
A) 0.5
B) 0.4
C) 0.15
D) 0.25
Question
A certain amount is divided among P, Q and R such that for every rupee that
R gets, Q gets ₹2 and for every ₹3 that Q gets, P gets ₹4. If P’s share is
₹4,200, how much is the share of R?
A) ₹ 2,100
B) ₹ 1,575
C) ₹ 3,150
D) ₹ 8,925
Question
Sanjay and Sameer together took a land on lease for Diamond mining by
investing Rs. 50,000 and Rs. 80,000 respectively. Sanjay employed 8
workers on it and Sameer employed 6 workers on it. The efficiency of each
worker is same. If they received a Diamond and sold it for Rs. 55 lakhs,
what should be the share of Sanjay (in lakhs)?
A) 25
B) 35
C) 20
D) 30
Question
"Three Days Skill Training Workshop" was conduced to promote placement for
poor female workers at very low charges.
Workers attending all three days' workshop will also be offered placement for
10 confirm days with wages of Rs. 100 per day. Record of number of workers
who attended the workshop on all these days were in the ratio of 3:6:11
respectively. Calculate the average charges per person who participated in the
skill training program.
Question
A) Rs. 9.25
B) Rs. 7.56
C) Rs. 6.85
D) Rs. 21.5
Logical Ability
Question
Two statements are given followed by two conclusions numbered I and II.
You have to consider these statements to be TRUE, even if they seem to be
at variance with commonly known facts Decide which at the given
conclusions logically follow/s from the given statement
Statements:
All train are chains.
No chains is a camera
Conclusions:
(1) At least some camera are chains.
(2) No train is a camera.
Question
V% E÷O@F+S
How is S related to F in the given expression?
A) Mother
B) Son
C) Father
D) Daughter
Question
Two statements are given followed by two conclusions numbered I and II
You have to consider these steel which of the given conclusions logically
follows from the given statement
Statements:
(i) No shrub is a plant (ii) All herbs are shrubs.
Conclusions:
1) No herb is a plant
2) Some plants are herbs
Question
A) 1/3
B) 1/5
C) 1/36
D) 5/216
Question
Two fair 6-faced dice are thrown once and the numbers appearing on their
top faces are multiplied. What is the probability that the product is a prime
number or ends in 2?
A) 5/18
B) 1/3
C) 1/4
D) 11/36
Question
Study the following table carefully to answer the questions below.
Note: The number in the brackets are maximum marks for respective subjects.
Question
What were the total marks obtained by Pradeep in the subjects S2, S4 and
S6 together?
A) 589
B) 529
C) 549
D) 569
Question
In the following figure, triangle represents plastic body, circle represents
bottom-freezer, rectangle represents refrigerator, pentagon represents
stainless steel and square represents top freezer.
What does L region represent?
Question
Ratio of
Institute No. of Students
Boys : Girls
A 756 3:4
B 792 5:6
C 936 6:7
D 576 7:9
Question
What is the ratio of the total number of boys in institutes B and C to the
total number of girls in institutes A and D?
A) 11 : 9
B) 22 : 21
C) 13 : 8
D) 13 : 11
Question
The following table which shows the number of students appeared in class
XII examination and percentage of students who passed from schools X, Y
and Z during 2017 to 2020 and answer the question:
Question
What is the ratio of 20% of the total number of students who passed from
schools X and Y in 2019 and 2020 together to the total number of students
who passed from school Z in 2017 and 2020?
A) 4:11
B) 7:15
C) 3:7
D) 5:13
Question
Total production of rice during 2017 to 2020, is what percent more than
the total production of wheat and jowar together during 2017 and 2019?
(Correct to two decimal places)
A) 8.85
B) 8.57
C) 7.89 Rice
D) 9.25
Question
What will be the cost of 20 candies, if each has the same price?
Statements:
1. Two-fifth cost of each candy is Rs. 10.
2. The total cost of five candies exceeds the total cost of four candies by
Rs.25.
A) 70 and 75
B) 65 and 70
C) 60 and 65
D) 50 and 55
Question
Select the option which the letter- clusters share the same relationship as
that shared by the given set.
SJE : XTT
A) PGB:UQQ
B) QFJ:NGG
C) BFR:CDD
D) PBG:SEE
Question
Among six cities named A, B, C, D, E, F which city is farthest city from city A?
Statements:
City B is closer to city A than city C
City D is closer to city A than city E
City F is farthest from city A than city C
A) I and II,III
B) Data is insufficient
C) Both I and II
D) Both II and III
Question
Nine boxes A,B,C,D,E,F,G,H,K are placed one above the other vertically, not
necessarily in the same order. Only three boxes are placed between the D
and C. G and H are placed in one of the places below B. Only three boxes
are placed between B and F which are not above box B. H is placed three
places below C but kept immediately above E. The number of boxes placed
between D and G is same as G and F. B is kept immediately below K which
is not the topmost box.
Question
How many boxes are kept between boxes A and E?
A) 1
B) 2
C) 3
D) 4
Question
Select the figure from among the given options that can replace the
question mark(?) in the following series.
Question
A train travelled from station train travelled from station A to station B at
average speed of 60km/h and return to station A at an average speed of
40km/h . what is the distance between station A and station B.
Statements:
1) The total time taken for the round trip was 8 hours
2) The train travelled a total distance of 480 km
A) S
B) K
C) P
D) R
Question
Three statements are followed by two conclusions numbered I and II. You
have to consider these statements to be TRUE, even if they where FALSE
which of the given conclusions logically follows from the given statement
Statements:
(i) Some consonants are symbols
(ii) No number is an alphabet.
(iii) Some alphabets are consonants.
Conclusions:
I. Some symbols are alphabets.
II. Some consonants are not numbers.
Question
A) PQ
B) PR
C) QP
D) RP
Question
Choose the most appropriate option to fill in the blanks.
A) To save/beginning to slip
B) To save/began slipping
C) To save/began to slip
D) For saving/begin to slip
Question
Our teachers are keeping busy because of up-coming examinations. Let us
not go to the teacher for such a 1_______ issue. studying more and coming
up with fewer doubts.
The bullet train corridor stations _______ as green buildings with all
amenities for passengers.
A) is planned
B) was planned
C) is being planned
D) are being planned
Question
Four sentences (S1 – S4) are given below, S1 and S4 in proper order. From
the options P, Q and R, choose the appropriate sentences for S2 and S3
respectively.
S1: Samsung has recently launched its solar powered pine – ‘Blue Earth’.
S2: __________
S3: __________
S4: Additionally , it has a built-in pedometer to keep a tab on carbon di
oxide emissions and it is small enough to fit into your pocket.
Question
P: It is a touch phone that has a full solar panel on its back which can
generate enough power to charge the phone.
Q: Realizing the side effects of mobile phones, many handsets
manufacturers are going solar.
R: The solar panel is made from recycled plastics from water bottles.
A) RP
B) PR
C) QR
D) RQ
Question
Fill in the blanks with the most suitable options.
Almost all colonial buildings have been so altered and developed that their
______ structure is no longer _____.
A) external, necessary
B) original, recognizable
C) main, found
D) Internal, attractive
Question
Four sentences (S1 – S4) are given below, S1 and S4 in proper order. From
the options P, Q and R, choose the appropriate sentences for S2 and S3
respectively.
S1: One of the most controversial food items in Maggot Cheese which is
literally infested with maggots.
S2: __________
S3: __________
S4: However, food remains a personal choice as food preferences depends
on culture, history and weather conditions.
Question
P: Sardines call it Casu Martzu and it is a unique personal pleasure for
many people.
Q: There are around 600 varieties of cheese in the world.
R: Casu Martzu is very expensive and considered dangerous to eat by many
people though there are no reported cases of death after eating.
A) PQ
B) RP
C) PR
D) QP
Question
The following sentence pair can be combined into one better sentence.
Choose the option that combines the sentence the best.
The man fell into the river. The man was rescued by the efforts of the army.
A) The man who fell into the river was rescued by the efforts of the army.
B) The efforts of the army rescued the man which fell into the river.
C) The efforts of the army rescued the man whose fell into the river.
D) The efforts of the army rescued the man whom fell into the river
Question
Which one of the following sentences uses a formal language?
Mrs. Kapoor will arrange a meeting with the assistant manager so that you
can discuss about the new loan policy.
A. The relief offers them some escape from the troubling times they might
be facing.
B. Saying prayers in public may be a good idea for the collective well being.
C. Offering prayer fosters a connection with a higher power that people
value and revere.
Question
A) (1) A (2) B
B) (1) A (2) C
C) (1) C (2) A
D) (1) B (2) C
Question
Four sentences (S1 – S4) are given below, S1 and S4 in proper order. From
the options P, Q and R, choose the appropriate sentences for S2 and S3
respectively.
S1: Ants are one of the smallest creatures visible to the human eye.
S2: __________
S3: __________
S4: They are also one of the most ancient species surviving to date.
Question
P: Yet, they are giants in terms of strength and industriousness.
Q: Ants live in elaborate systems in large groups which are called colonies.
R: These little beings have enormous weight bearing capacity and can beat
humans in hard work.
A) QR
B) PR
C) PQ
D) RP
Question
Choose the most appropriate option to complete the sentence.
Humans are plagued by a belief that, they are not alone, that ____1____ out
there in the universe there are other life forms intelligent ____2____ in
communication with them.
A. This can result in more efficient and less complicated clinical trials of
medical treatments.
B. This can pave the way for more innovative and cost-efficient treatment.
C. This practice increases the costs of collecting, storing and analyzing
data.
Question
A) (1) A (2) C
B) (1) B (2) A
C) (1) B (2) C
D) (1) C (2) A
Question
One part of the sentence below may contain an error in it. Identify the part.
He realized that he had to undergo an MRI test but was too frighten.
The rise in the price of oil and an increase in demand has forced some
farmers to harvest oil crops for biofuels.
The General could not ____ his soldiers to march forward, ____ the lure of
extra money and food.
A) Tell, Nonetheless
B) Persuade, Despite
C) Ask, Hopefully
D) Force, Though
Question
Select the most appropriate option to fill in the blank.
I have a lot of work to do. I can’t leave the office _____ one hour.
A) by
B) until
C) for
D) since
Question
Read the passage given below and answer the questions that follow:
More likely, however, cats don’t like getting wet because of what water
does to their fur. Cats are fastidious animals that spend a great deal of their
day grooming themselves. Wet fur is extremely uncomfortable for a cat
and often takes a long time to dry. Wet fur is also heavier than dry and
thus makes a cat less nimble and easier for predators to catch.
There is also the ______. Accidentally falling into a full bathtub, for
example, can be a frightening experience for a cat and can make it fearful
of water for the rest of its life.
Question
Which of the following options best means ‘AVERSION’?
A) Dislike
B) Disdain
C) Derogatory
D) Defame
Question
Choose the option that is closest in meaning to the word ‘fastidious’ as
used in the passage.
A) Image-obsessed
B) Narcissistic
C) Dangerous
D) Cleanliness-obsessed
Question
Which of the following option best fits the blank given in the passage?
A) Traumatizing
B) Memory factor
C) Rudimentary
D) Shock factor
Question
Read the following passage and fill in the blanks by selecting the more
appropriate options.
The main cause of teachers leaving the workforce is not tough and rigid
work contract in schools, but ____1____, is poor working condition
____2____ by meagre salaries.
S1. Some 200 km from Leh are the villages of Dha, Hanu, Garkone and
Darchik on both sides of the Indus river, inhabited by the Buddhist Dard
Tribes.
S2. _____
S3. _____
S4. He added people of this region are culturally and linguistically different
from those in other parts of Ladakh.
Question
P. The villages are together called the “Aryan valley”
Q. “The word ‘Dard’ is derived from the Sanskrit word, ‘Daradas’, which
means people who live on hillsides”, said Virendra Bangroo, assistant
professor at Indira Gandhi National Centre for the Arts (IGNCA), who has
extensively researched on their lives.
R. There is also a line of thought that the “Aryans of Ladakh” might have
descended from soldiers in Alexander’s army who had come to the region
over 2,000 years ago.
A) RP
B) QP
C) PR
D) PQ
Question
You are going to read a text. Parts of two sentences are missing from the
text. Choose from the list (A-C) the most appropriate part to complete the
sentence for each gap (1-2) in the text. There is one extra part that you do
not need to use.
Those who are concerned about society may be troubled by the idea of
overdependence on technology _____(1)_____ We have made technology
our primary religion and culture. _____(2)_____
S1. When employees are constantly working for a long time, they start
getting influenced by others’ moods and vibes.
S2. _____
S3. _____
S4. But this emotional transfer also happens through digital
communication.
Question
Select the most appropriate option to fill in the blank.
A) if he has
B) if he had
C) but he has
D) he does have
Question
Select the most appropriate option to fill in the blank.
The new recruit shows great ______ for handling the business efficiently.
A) outlook
B) potential
C) viewpoint
D) stand point
Question
Select the most appropriate option to fill in the blank.
Many ancient sites which were ____________ from the world have today
become World Heritage Sites.
My boss announced a sudden salary increase for the entire staff. It came as
alan __________
A) interesting
B) pleasant
C) disappointing
D) horrible
Question
Four sentences (S1 – S4) are given below, S1 and S4 in proper order. From
the options P, Q and R, choose the appropriate sentences for S2 and S3
respectively.
A) QP
B) PQ
C) PR
D) RP
Question
Select the most appropriate option to fill in the blanks.
The cricket control board ______ hold the remaining matches of the Indian
Premier League 2021 in UAE.
A) Ought to decide to
B) May be deciding to
C) Has decided to
D) Will have decided to
Question
Which of the following sentences contains a grammatical error?
The refugees had tried every possible means of earning a living after they
succumbed to begging.
The Indian navy which is undergoing a modernization process, may get yet
another boost as France has offered a major nuclear submarine deal on
India.
A) a major nuclear submarine deal on India
B) a modernization process, may get
C) yet another boost as France has offered
D) The Indian Navy, which is undergoing
THANK YOU