Q1
MCQ[1 Mark]
If '' denotes increasing order of intensity, then the meaning of the words is analogous to .
Which one of the given options is appropriate to fill the blank?
Type:
GATE 2024 — General Aptitude
160 QuestionsQ2
MCQ[1 Mark]
In a locality, the houses are numbered in the following way:
The house-numbers on one side of a road are consecutive odd integers starting from , while the house-numbers on the other side of the road are consecutive even numbers starting from . The total number of houses is the same on both sides of the road.
If the difference of the sum of the house-numbers between the two sides of the road is , then the number of houses on each side of the road is
Q3
MCQ[1 Mark]
For positive integers and , with , . Then,
Q4
MCQ[1 Mark]
Which one of the given options is a possible value of in the following sequence?
Q5
MCQ[1 Mark]
On a given day, how many times will the second-hand and the minute-hand of a clock cross each other during the clock time hours to hours?
Q6
MCQ[2 Marks]
In the given text, the blanks are numbered (i)–(iv). Select the best match for all the blanks.
From the ancient Athenian arena to the modern Olympic stadiums, athletics the potential for a spectacle. The crowd with bated breath as the Olympian artist twists his body, stretching the javelin behind him. Twelve strides in, he begins to cross-step. Six cross-steps in an abrupt stop on his left foot. As his body like a door turning on a hinge, the javelin is launched skyward at a precise angle.
Q7
MCQ[2 Marks]
Three distinct sets of indistinguishable twins are to be seated at a circular table that has identical chairs. Unique seating arrangements are defined by the relative positions of the people.
How many unique seating arrangements are possible such that each person is sitting next to their twin?
Q8
MCQ[2 Marks]
The chart given below compares the Installed Capacity (MW) of four power generation technologies, T1, T2, T3, and T4, and their Electricity Generation (MWh) in a time of .
The Capacity Factor of a power generation technology is:
Which one of the given technologies has the highest Capacity Factor?
Q9
MCQ[2 Marks]
In the array shown below, each cell of the first three columns has either a cross (X) or a number, as per the given rule.
**Rule:** The number in a cell represents the count of crosses around its immediate neighboring cells (left, right, top, bottom, diagonals).
As per this rule, the maximum number of crosses possible in the empty column is
Q10
MCQ[2 Marks]
During a half-moon phase, the Earth-Moon-Sun form a right triangle. If the Moon-Earth-Sun angle at this half-moon phase is measured to be , the ratio of the Earth-Sun and Earth-Moon distances is closest to
Q11
MCQ[1 Mark]
If ‘→’ denotes increasing order of intensity, then the meaning of the words [dry → arid → parched] is analogous to [diet → fast → ________ ]. Which one of the given options is appropriate to fill the blank?
Q12
MCQ[1 Mark]
If two distinct non-zero real variables 𝑥 and 𝑦 are such that (𝑥+ 𝑦) is proportional to (𝑥−𝑦) then the value of 𝑥 𝑦
Q13
MCQ[1 Mark]
Consider the following sample of numbers: 9, 18, 11, 14, 15, 17, 10, 69, 11, 13 The median of the sample is
Q14
MCQ[1 Mark]
The number of coins of ₹1, ₹5, and ₹10 denominations that a person has are in the ratio 5:3:13. Of the total amount, the percentage of money in ₹5 coins is
Q15
MCQ[1 Mark]
For positive non-zero real variables 𝑝 and 𝑞, if log (𝑝2 + 𝑞2) = log 𝑝+ log 𝑞+ 2 log 3 , then, the value of 𝑝4+𝑞4 𝑝2𝑞2 is
Q16
MCQ[2 Marks]
In the given text, the blanks are numbered (i)−(iv). Select the best match for all the blanks. Steve was advised to keep his head (i) before heading (ii) to bat; for, while he had a head (iii) batting, he could only do so with a cool head s (iv) his shoulders.
Q17
MCQ[2 Marks]
A rectangular paper sheet of dimensions 54 cm × 4 cm is taken. The two longer edges of the sheet are joined together to create a cylindrical tube. A cube whose surface area is equal to the area of the sheet is also taken. Then, the ratio of the volume of the cylindrical tube to the volume of the cube is
Q18
MCQ[2 Marks]
The pie chart presents the percentage contribution of different macronutrients to a typical 2,000 kcal diet of a person. The typical energy density (kcal/g) of these macronutrients is given in the table. Macronutrient Energy density (kcal/g) Carbohydrates 4 Proteins 4 Unsaturated fat 9 Saturated fat 9 Trans fat 9 The total fat (all three types), in grams, this person consumes is
Q19
MCQ[2 Marks]
A rectangular paper of 20 cm × 8 cm is folded 3 times. Each fold is made along the line of symmetry, which is perpendicular to its long edge. The perimeter of the final folded sheet (in cm) is
Q20
MCQ[2 Marks]
The least number of squares to be added in the figure to make AB a line of symmetry is
Q21
MCQ[1 Mark]
If '' denotes increasing order of intensity, then the meaning of the words is analogous to .
Which one of the given options is appropriate to fill the blank?
Q22
MCQ[1 Mark]
If two distinct non-zero real variables and are such that is proportional to then the value of
Q23
MCQ[1 Mark]
Consider the following sample of numbers:
9, 18, 11, 14, 15, 17, 10, 69, 11, 13
The median of the sample is
Q24
MCQ[1 Mark]
The number of coins of ₹1, 25 paise, and 10 paise denominations that a person has are in the ratio 5:3:13. Of the total amount, the percentage of money in 25 paise coins is
Q25
MCQ[1 Mark]
For positive non-zero real variables and , if , then, the value of is
Q26
MCQ[2 Marks]
In the given text, the blanks are numbered (i)-(iv). Select the best match for all the blanks.
Steve was advised to keep his head (i) before heading (ii) to bat; for, while he had a head (iii) batting, he could only do so with a cool head (iv) his shoulders.
Q27
MCQ[2 Marks]
A rectangular paper sheet of dimensions is taken. The two longer edges of the sheet are joined together to create a cylindrical tube. A cube whose surface area is equal to the area of the sheet is also taken.
Then, the ratio of the volume of jubilant cylindrical tube to the volume of the cube is
Q28
MCQ[2 Marks]
The pie chart presents the percentage contribution of different macronutrients to a typical 2,000 kcal diet of a person.
[Pie chart: Carbohydrates 35%, Proteins 20%, Unsaturated fat 20%, Saturated fat 20%, Trans fat 5%]
The typical energy density (kcal/g) for fats (unsaturated, saturated, trans) is 9 kcal/g.
The total fat (all three types), in grams, this person consumes is
Q29
MCQ[2 Marks]
A rectangular paper of is folded 3 times. Each fold is made along the line of symmetry, which is perpendicular to its long edge. The perimeter of the final folded sheet (in cm) is
Q30
MCQ[2 Marks]
The least number of squares to be added in the figure to make AB a line of symmetry is
Q31
MCQ[1 Mark]
If '->' denotes increasing order of intensity, then the meaning of the words [dry -> arid -> parched] is analogous to [diet -> fast -> __]. Which one of the given options is appropriate to fill the blank?
Q32
MCQ[1 Mark]
If two variables x and y are such that is proportional to , then
Q33
MCQ[1 Mark]
Consider the following sample of numbers:
9, 18, 11, 14, 15, 17, 10, 69, 11, 13
The median of the sample is
Q34
MCQ[1 Mark]
The number of coins of ₹1, ₹2, and ₹5 denominations that a person has are in the ratio 5:3:13. Of the total money in coins, the percentage of money in ₹5 coins is
Q35
MCQ[1 Mark]
For positive non-zero real variables p and q, if
then, the value of is
Q36
MCQ[2 Marks]
In the given text, the blanks are numbered (i)-(iv). Select the best match for all the blanks.
Steve was advised to keep (i) _____ before heading to bat; for, while he had a head (ii) _____ batting, he could only do so with a cool head (iii) _____ his shoulders.
Q37
MCQ[2 Marks]
A rectangular paper sheet of dimensions is taken. The two longer edges of the sheet are joined together to create a cylindrical tube. A cube whose surface area is equal to the area of the sheet is also taken. Then, the ratio of the volume of the cylindrical tube to the volume of the cube is
Q38
MCQ[2 Marks]
The pie chart presents the percentage contribution of different macronutrients to a typical 2,000 kcal diet of a person.
Saturated fat: 20%, Trans fat: 5%, Carbohydrates: 35%, Unsaturated fat: 20%, Proteins: 20%.
Energy densities (kcal/g): Fats = 9.
The total fat (all three types), in grams, this person consumes is
Q39
MCQ[2 Marks]
A rectangular paper of is folded 3 times. Each fold is made along the line of symmetry, which is perpendicular to its long edge. The perimeter of the final folded sheet (in cm) is
Q40
MCQ[2 Marks]
The least number of squares to be added in the figure to make AB a line of symmetry is
Q41
MCQ[1 Mark]
If '→' denotes increasing order of intensity, then the meaning of the words [simmer → seethe → smolder] is analogous to [break → raze → ___].
Q42
MCQ[1 Mark]
In a locality, houses are numbered with consecutive odd integers starting from 301 on one side and consecutive even integers starting from 302 on the other. If the difference of the sum of house-numbers between the two sides is 27, the number of houses on each side is
Q43
MCQ[1 Mark]
For positive integers and , with , . Then,
Q44
MCQ[1 Mark]
Which one of the given options is a possible value of in the following sequence? 3, 7, 15, , 63, 127, 255
Q45
MCQ[1 Mark]
On a given day, how many times will the second-hand and the minute-hand of a clock cross each other during the clock time 12:05:00 hours to 12:55:00 hours?
Q46
MCQ[2 Marks]
Select the best grammatical match for blanks (i) to (iv) in the provided athletic text passage.
Q47
MCQ[2 Marks]
Three distinct sets of indistinguishable twins are to be seated at a circular table that has 8 identical chairs. Unique arrangements such that each person sits next to their twin:
Q48
MCQ[2 Marks]
Using the provided power generation chart and capacity factor formula, which technology has the highest Capacity Factor?
Q49
MCQ[2 Marks]
In the array shown, each cell represents the count of neighboring crosses. The maximum number of crosses possible in the empty column is
Q50
MCQ[2 Marks]
During half-moon phase, Earth-Moon-Sun form a right triangle. If Moon-Earth-Sun angle is , the ratio of Earth-Sun to Earth-Moon distances is closest to
Q51
MCQ[1 Mark]
If '->' denotes increasing order of intensity, then the meaning of the words [simmer seethe smolder] is analogous to [break raze [blank]].
Q52
MCQ[1 Mark]
In a locality, the houses are numbered with consecutive odd/even integers. If the difference of the sum of house-numbers between the two sides is 27, the number of houses on each side is
Q53
MCQ[1 Mark]
For , and , . If and , then the value of is
Q54
MCQ[1 Mark]
Which one of the given options is a possible value of in the sequence: 3, 7, 15, , 63, 127, 255?
Q55
MCQ[1 Mark]
On a given day, how many times will the second-hand and the minute-hand of a clock cross each other during the clock time 12:05:00 hours to 12:55:00 hours?
Q56
MCQ[2 Marks]
In the given text, the blanks are numbered (i)-(iv). Select the best match for all the blanks.
Q57
MCQ[2 Marks]
Three distinct sets of indistinguishable twins are to be seated at a circular table that has 8 identical chairs such that each person sits next to their twin. Unique arrangements = ?
Q58
MCQ[2 Marks]
Which one of the given technologies has the highest Capacity Factor based on the chart?
Q59
MCQ[2 Marks]
In the 4x4 array shown, maximum number of crosses possible in the empty column is
Q60
MCQ[2 Marks]
During a half-moon phase, Earth-Moon-Sun form a right triangle with angle 89.85°. The ratio of Earth-Sun and Earth-Moon distances is closest to
Q61
MCQ[1 Mark]
If '->' denotes increasing order of intensity, then the meaning of the words [dry -> arid -> parched] is analogous to [diet -> fast -> _]. Which one of the given options is appropriate to fill the blank?
Q62
MCQ[1 Mark]
If two distinct non-zero real variables x and y are such that (x+y) is proportional to (x-y) then the value of y/x is a constant.
Q63
MCQ[1 Mark]
Consider the following sample of numbers: 9, 18, 11, 14, 15, 17, 10, 69, 11, 13. The median of the sample is
Q64
MCQ[1 Mark]
The number of coins of ₹1, 25 paise, and 10 paise denominations that a person has are in the ratio 5:3:13. Of the total amount, the percentage of money in 25 paise coins is
Q65
MCQ[1 Mark]
For positive non-zero real variables p and q, if log(p^2 + q^2) = log p + log q + 2 log 3, then, the value of (p^4 + q^4)/(p^2 q^2) is
Q66
MCQ[2 Marks]
In the given text, the blanks are numbered (i)-(iv). Select the best match for all the blanks.
Q67
MCQ[2 Marks]
A rectangular paper sheet of dimensions 54 cm x 4 cm is taken. The two longer edges of the sheet are joined together to create a cylindrical tube. A cube whose surface area is equal to the area of the sheet is also taken. Then, the ratio of the volume of the cylindrical tube to the volume of the cube is
Q68
MCQ[2 Marks]
The pie chart presents the percentage contribution of different macronutrients to a typical 2,000 kcal diet of a person. The total fat (all three types), in grams, this person consumes is
Q69
MCQ[2 Marks]
A rectangular paper of 20 cm x 8 cm is folded 3 times. Each fold is made along the line of symmetry, which is perpendicular to its long edge. The perimeter of the final folded sheet (in cm) is
Q70
MCQ[2 Marks]
The least number of squares to be added in the figure to make AB a line of symmetry is
Q71
MCQ[1 Mark]
If '' denotes increasing order of intensity, then the meaning of the words [charm enamor bewitch] is analogous to [bored ______ weary]. Which one of the given options is appropriate to fill the blank?
Q72
MCQ[1 Mark]
P, Q, R, S, and T have launched a new startup. Two of them are siblings. The office of the startup has just three rooms. All of them agree that the siblings should not share the same room. Given the valid room allocations, which one of the given options is the siblings?
Q73
MCQ[1 Mark]
Five years ago, the ratio of Aman's age to his father's age was 1:4, and five years from now, the ratio will be 2:5. What was his father's age when Aman was born?
Q74
MCQ[1 Mark]
For a real number , . The value of is
Q75
MCQ[1 Mark]
The greatest prime factor of is
Q76
MCQ[2 Marks]
Sequence the following sentences (P, Q, R, S) in a coherent passage:
P: Shifu's student exclaimed, "Why do you run since the bull is an illusion?"
Q: Shifu said, "Surely my running away from the bull is also an illusion."
R: Shifu once proclaimed that all life is illusion.
S: One day, when a bull gave him chase, Shifu began running for his life.
Q77
MCQ[2 Marks]
Four identical cylindrical chalk-sticks, each of radius cm and length cm, are bound tightly together using a duct tape as shown in the following figure. The width of the duct tape is equal to the length of the chalk-stick. The area (in ) of the duct tape required to wrap the bundle of chalk-sticks once, is
Q78
MCQ[2 Marks]
The bar chart shows the data for the percentage of population falling into different categories based on Body Mass Index (BMI) in 2003 and 2023. Based on the data provided, which one of the following options is INCORRECT?
Q79
MCQ[2 Marks]
An object appears as a specific image after first reflecting in a mirror and then reflecting on water. The original object is
Q80
MCQ[2 Marks]
Two identical sheets A and B, of dimensions , can be folded into half using two distinct operations, FO1 or FO2. In FO1, the axis of folding remains parallel to the initial long edge, and in FO2, the axis of folding remains parallel to the initial short edge. If sheet A is folded twice using FO1, and sheet B is folded twice using FO2, the ratio of the perimeters of the final shapes of A and B is
Q81
MCQ[1 Mark]
If '->' denotes increasing order of intensity, then the meaning of the words [talk -> shout -> scream] is analogous to [please -> ... -> pander]. Which one of the given options is appropriate to fill the blank?
Q82
MCQ[1 Mark]
P wants a study table near the window for bird watching, and Q wants his bed close to the ceiling fan. Which room arrangement suits them best?
Q83
MCQ[1 Mark]
Express the decimal number 108 in the octal number system.
Q84
MCQ[1 Mark]
A customer pays 3,186.00 per shirt including 18% tax. The shopkeeper sells at 20% profit. What was the cost price from the producer?
Q85
MCQ[1 Mark]
If x:y = (a+1):(a-1) for a > 1, find the ratio (x^2 - y^2):(x^2 + y^2).
Q86
MCQ[2 Marks]
Select the correct prepositions to fill the blanks in the sentence.
Q87
MCQ[2 Marks]
Given geometric figure with rhombus AFCD and dimensions, find the length of BF in cm.
Q88
MCQ[2 Marks]
Based on the chart showing car purchases by Millennials and Gen X and fuel consumption from 2010 to 2020, which statement is true?
Q89
MCQ[2 Marks]
If rack A translates towards the right in the pinion-rack gear assembly, which statement is correct?
Q90
MCQ[2 Marks]
In triangle ABC with base AB = 200 m and base angles 87.8°, find the distance of vertex C from the center of AB.
Q91
MCQ[1 Mark]
If '' denotes increasing order of intensity, then the meaning of the words [sick infirm moribund] is analogous to [silly _____ daft].
Which one of the given options is appropriate to fill the blank?
Q92
MCQ[1 Mark]
The 15 parts of the given figure are to be painted such that no two adjacent parts with shared boundaries (excluding corners) have the same color. The minimum number of colors required is
Q93
MCQ[1 Mark]
How many 4-digit positive integers divisible by 3 can be formed using only the digits , such that no digit appears more than once in a number?
Q94
MCQ[1 Mark]
The sum of the following infinite series is
Q95
MCQ[1 Mark]
In an election, the share of valid votes received by the four candidates A, B, C, and D is represented by the pie chart shown.
The total number of votes cast in the election were , out of which were invalid.
Based on the data provided, the total number of valid votes received by the candidates B and C is
Q96
MCQ[2 Marks]
Thousands of years ago, some people began dairy farming. This coincided with a number of mutations in a particular gene that resulted in these people developing the ability to digest dairy milk.
Based on the given passage, which of the following can be inferred?
Q97
MCQ[2 Marks]
The probability of having only three children with two girls and one boy is
Q98
MCQ[2 Marks]
Person 1 and Person 2 invest in three mutual funds A, B, and C. The amounts they invest in each of these mutual funds are given in the table.
- Person 1: A = ₹10,000, B = ₹20,000, C = ₹20,000
- Person 2: A = ₹20,000, B = ₹15,000, C = ₹15,000
At the end of one year, the total amount that Person 1 gets is ₹500 more than Person 2. The annual rate of return for the mutual funds B and C is 15% each. What is the annual rate of return for the mutual fund A?
Q99
MCQ[2 Marks]
Three different views of a dice are shown in the figure below.
The piece of paper that can be folded to make this dice is
Q100
MCQ[2 Marks]
Visualize two identical right circular cones such that one is inverted over the other and they share a common circular base. If a cutting plane passes through the vertices of the assembled cones, what shape does the outer boundary of the resulting cross-section make?
Q101
MCQ[1 Mark]
If '' denotes increasing order of intensity, then the meaning of the words [drizzle rain downpour] is analogous to [ quarrel feud]. Which one of the given options is appropriate to fill the blank?
Q102
MCQ[1 Mark]
Statements:
1. All heroes are winners.
2. All winners are lucky people.\nInferences:\nI. All lucky people are heroes.\nII. Some lucky people are heroes.\nIII. Some winners are heroes.\nWhich of the above inferences can be logically deduced from statements 1 and 2?
Q103
MCQ[1 Mark]
A student was supposed to multiply a positive real number p with another positive real number q. Instead, the student divided p by q. If the percentage error in the student's answer is 80%, the value of q is
Q104
MCQ[1 Mark]
If the sum of the first 20 consecutive positive odd numbers is divided by , the result is
Q105
MCQ[1 Mark]
The ratio of the number of girls to boys in class VIII is the same as the ratio of the number of boys to girls in class IX. The total number of students (boys and girls) in classes VIII and IX is 450 and 360, respectively. If the number of girls in classes VIII and IX is the same, then the number of girls in each class is
Q106
MCQ[2 Marks]
In the given text, the blanks are numbered (i)-(iv). Select the best match for all the blanks.\nYoko Roi stands (i) as an author for standing (ii) as an honorary fellow, after she stood (iii) the freedom of her writings that stand (iv) .
Q107
MCQ[2 Marks]
Seven identical cylindrical chalk-sticks are fitted tightly in a cylindrical container. The figure below shows the arrangement of the chalk-sticks inside the cylinder... The ratio of the occupied space to the empty space of the container is
Q108
MCQ[2 Marks]
The plot below shows the relationship between the mortality risk of cardiovascular disease and the number of steps a person walks per day. Based on the data, which one of the following options is true?
Q109
MCQ[2 Marks]
Five cubes of identical size and another smaller cube are assembled as shown in Figure A. If viewed from direction X, the planar image of the assembly appears as Figure B. If viewed from direction Y, Figure A will appear as
Q110
MCQ[2 Marks]
Visualize a cube that is held with one of the four body diagonals aligned to the vertical axis. Rotate the cube about this axis such that its view remains unchanged. The magnitude of the minimum angle of rotation is
Q111
MCQ[1 Mark]
If '' denotes increasing order of intensity, then the meaning of the words [smile giggle laugh] is analogous to [disapprove chide ___]. Which one of the given options is appropriate to fill the blank?
Q112
MCQ[1 Mark]
Find the odd one out in the set: {19, 37, 21, 17, 23, 29, 31, 11}
Q113
MCQ[1 Mark]
In the following series, identify the number that needs to be changed to form the Fibonacci series.
1, 1, 2, 3, 6, 8, 13, 21, ...
Q114
MCQ[1 Mark]
The real variables , and the real constants satisfy
\nGiven that the denominators are non-zero, the value of is
Q115
MCQ[1 Mark]
Take two long dice (rectangular parallelepiped), each having four rectangular faces labelled as 2, 3, 5, and 7. If thrown, the long dice cannot land on the square faces and has probability of landing on any of the four rectangular faces. The label on the top face of the dice is the score of the throw. If thrown together, what is the probability of getting the sum of the two long dice scores greater than 11?
Q116
MCQ[2 Marks]
In the given text, the blanks are numbered (i)-(iv). Select the best match for all the blanks.
\nProf. P **(i)** merely a man who narrated funny stories. **(ii)** in his blackest moments was he able to find humor. Prof. Q **(iii)** a man who hardly narrated funny stories. **(iv)** in his blackest moments he was capable of self-deprecating humor.
Q117
MCQ[2 Marks]
Sets A, B, C ... [Note: Official Key marked this as MTA (Marks To All)]
Q118
MCQ[2 Marks]
The bar chart gives the batting averages of VK and RS for 11 calendar years from 2012 to 2022. Considering that 2015 and 2019 are world cup years, which one of the following options is true?
Q119
MCQ[2 Marks]
A planar rectangular paper has two V-shaped pieces attached as shown below. This piece of paper is folded to make the following closed three-dimensional object. The number of folds required to form the above object is
Q120
MCQ[2 Marks]
Four equilateral triangles are used to form a regular closed three-dimensional object by joining along the edges. The angle between any two faces is
[Note: Official Key marked this as MTA (Marks To All)]
Q121
MCQ[1 Mark]
If '->' denotes increasing order of intensity, then the meaning of the words [drizzle -> rain -> downpour] is analogous to [ -> quarrel -> feud]. Which one of the given options is appropriate to fill the blank?
Q122
MCQ[1 Mark]
Statements:
1. All heroes are winners.
2. All winners are lucky people.
Inferences:
I. All lucky people are heroes.
II. Some lucky people are heroes.
III. Some winners are heroes.
Which of the above inferences can be logically deduced from statements 1 and 2?
Q123
MCQ[1 Mark]
A student was supposed to multiply a positive real number with another positive real number . Instead, the student divided by . If the percentage error in the student's answer is 80%, the value of is
Q124
MCQ[1 Mark]
If the sum of the first 20 consecutive positive odd numbers is divided by , the result is
Q125
MCQ[1 Mark]
The ratio of the number of girls to boys in class VIII is the same as the ratio of the number of boys to girls in class IX. The total number of students (boys and girls) in classes VIII and IX is 450 and 360, respectively. If the number of girls in classes VIII and IX is the same, then the number of girls in each class is
Q126
MCQ[2 Marks]
In the given text, the blanks are numbered (i)-(iv). Select the best match for all the blanks. Yoko Roi stands (i) as an author for standing (ii) as an honorary fellow, after she stood (iii) her writings that stand (iv) the freedom of speech.
Q127
MCQ[2 Marks]
Seven identical cylindrical chalk-sticks are fitted tightly in a cylindrical container... The ratio of the occupied space to the empty space of the container is
Q128
MCQ[2 Marks]
The plot below shows the relationship between the mortality risk of cardiovascular disease and the number of steps a person walks per day. Based on the data, which one of the following options is true?
Q129
MCQ[2 Marks]
Five cubes of identical size and another smaller cube are assembled as shown in Figure A. If viewed from direction X, the planar image of the assembly appears as Figure B. If viewed from direction Y, the planar image of the assembly (Figure A) will appear as
Q130
MCQ[2 Marks]
Visualize a cube that is held with one of the four body diagonals aligned to the vertical axis. Rotate the cube about this axis such that its view remains unchanged. The magnitude of the minimum angle of rotation is
Q131
MCQ[1 Mark]
If '' denotes increasing order of intensity, then the meaning of the words [dry arid parched] is analogous to [diet fast \_]. Which one of the given options is appropriate to fill the blank?
(A) starve
(B) reject
(C) feast
(D) deny
Q132
MCQ[1 Mark]
If two distinct non-zero real variables and are such that is proportional to then the value of or related ratio... [Note: options evaluate constant ratio properties]
Q133
MCQ[1 Mark]
Consider the following sample of numbers:
\nThe median of the sample is
(A) 13.5
(B) 14
(C) 11
(D) 18.7
Q134
MCQ[1 Mark]
The number of coins of ₹1, 25 paise, and 10 paise denominations that a person has are in the ratio . Of the total amount, the percentage of money in 25 paise coins is
(A)
(B)
(C)
(D)
Q135
MCQ[1 Mark]
For positive non-zero real variables and , if , then the value of is
(A) 79
(B) 81
(C) 9
(D) 83
Q136
MCQ[2 Marks]
In the given text, fill in the blanks with the correct prepositions/words: Steve was advised to keep his head (i) his shoulders... [Options match (C)]
Q137
MCQ[2 Marks]
A rectangular paper sheet of dimensions is taken. The two longer edges are joined to create a cylindrical tube. A cube whose surface area is equal to the area of the sheet is also taken. Then, the ratio of the volume of the cylindrical tube to the volume of the cube is
(A)
(B)
(C)
(D)
Q138
MCQ[2 Marks]
The pie chart presents the percentage contribution of different macronutrients to a typical diet (Carbohydrates 35%, Proteins 20%, Unsaturated fat 20%, Saturated fat 20%, Trans fat 5%). Energy densities: Carb 4, Protein 4, Fat 9 kcal/g. Total fat consumed in grams is
(A) 44.4
(B) 77.8
(C) 100
(D) 3,600
Q139
MCQ[2 Marks]
A rectangular paper of is folded 3 times along lines of symmetry perpendicular to the long edge. The perimeter of the final folded sheet (in cm) is
(A) 18
(B) 24
(C) 20
(D) 21
Q140
MCQ[2 Marks]
The least number of squares to be added in the figure to make AB a line of symmetry is...
Q141
MCQ[1 Mark]
If '->' denotes increasing order of intensity, then the meaning of the words [dry arid parched] is analogous to [diet fast __].
Which one of the given options is appropriate to fill the blank?
Q142
MCQ[1 Mark]
If two variables x and y are such that is proportional to , then
Q143
MCQ[1 Mark]
Consider the following sample of numbers:
9, 18, 11, 14, 15, 17, 10, 69, 11, 13
The median of the sample is
Q144
MCQ[1 Mark]
The number of coins of ₹1, ₹2, and ₹5 denominations that a person has are in the ratio 5:3:13. Total money in 25 coins is...
Q145
MCQ[1 Mark]
For positive non-zero real variables p and q, if
then, the value of is
Q146
MCQ[2 Marks]
In the given text, the blanks are numbered (i)-(iv). Select the best match for all the blanks.
Steve was advised to keep his head (i) before heading to bat; (ii) batting, he could only do so with a cool head (iii) for, while he had a head (iv) his shoulders.
Q147
MCQ[2 Marks]
A rectangular paper sheet of dimensions is taken. The two longer edges of the sheet are joined together to create a cylindrical tube. A cube whose surface area is equal to the area of the sheet is also taken.
Then, the ratio of the volume of the cylindrical tube to the volume of the cube is
Q148
MCQ[2 Marks]
The pie chart presents the percentage contribution of different macronutrients to a typical 2,000 kcal diet of a person.
Saturated fat: 20%, Trans fat: 5%, Carbohydrates: 35%, Unsaturated fat: 20%, Proteins: 20%.
Energy density: Fat types = .
The total fat (all three types), in grams, this person consumes is
Q149
MCQ[2 Marks]
A rectangular paper of is folded 3 times. Each fold is made along the line of symmetry, which is perpendicular to its long edge.
The perimeter of the final folded sheet (in cm) is
Q150
MCQ[2 Marks]
The least number of squares to be added in the figure to make AB a line of symmetry is...
Q151
MCQ[1 Mark]
If '→' denotes increasing order of intensity, then the meaning of the words [drizzle → rain → downpour] is analogous to [______ → quarrel → feud]. Which one of the given options is appropriate to fill the blank?
Q152
MCQ[1 Mark]
Statements:
1. All heroes are winners.
2. All winners are lucky people.
Inferences:
I. All lucky people are heroes.
II. Some lucky people are heroes.
III. Some winners are heroes.
Which of the above inferences can be logically deduced from statements 1 and 2?
Q153
MCQ[1 Mark]
A student was supposed to multiply a positive real number with another positive real number . Instead, the student divided by . If the percentage error in the student's answer is 80%, the value of is
Q154
MCQ[1 Mark]
If the sum of the first 20 consecutive positive odd numbers is divided by , the result is
Q155
MCQ[1 Mark]
The ratio of the number of girls to boys in class VIII is the same as the ratio of the number of boys to girls in class IX. The total number of students (boys and girls) in classes VIII and IX is 450 and 360, respectively. If the number of girls in classes VIII and IX is the same, then the number of girls in each class is
Q156
MCQ[2 Marks]
In the given text, the blanks are numbered (i)-(iv). Select the best match for all the blanks.
Yoko Roi stands (i) as an author for standing (ii) as an honorary fellow, after she stood (iii) the freedom of speech. Her writings that stand (iv)
Q157
MCQ[2 Marks]
Seven identical cylindrical chalk-sticks are fitted tightly in a cylindrical container. The figure below shows the arrangement of the chalk-sticks inside the cylinder. The length of the container is equal to the length of the chalk-sticks. The ratio of the occupied space to the empty space of the container is
Q158
MCQ[2 Marks]
The plot below shows the relationship between the mortality risk of cardiovascular disease and the number of steps a person walks per day. Based on the data, which one of the following options is true?
Q159
MCQ[2 Marks]
Five cubes of identical size and another smaller cube are assembled as shown in Figure A. If viewed from direction X, the planar image of the assembly appears as Figure B. If viewed from direction Y, it will appear as
Q160
MCQ[2 Marks]
Visualize a cube that is held with one of the four body diagonals aligned to the vertical axis. Rotate the cube about this axis such that its view remains unchanged. The magnitude of the minimum angle of rotation is