Report a question What’s wrong with this question? You cannot submit an empty report. Please add some details. 9 SAMPLE TEST | STAFF SELECTION COMMISSION (SSC) | CGL TIER 1 Staff Selection Commission (SSC) CGL Sample Test Paper No. of Questions: 50 Tier 1 1 / 50 Critical Thinking: A study shows that walking 10,000 steps a day reduces the risk of heart disease. As a result, a health app starts a challenge encouraging users to walk 10,000 steps daily. What is the implicit assumption? Walking 10,000 steps is achievable for most people. The health app's challenge will reduce heart disease risk among its users. All users of the health app are at risk of heart disease. The study's results are applicable to all demographics. The implicit assumption is that the health app’s challenge to encourage walking 10,000 steps daily will reduce the risk of heart disease among its users. This is based on the belief that the study’s findings can be effectively applied through the app’s challenge. 2 / 50 The ratio of the speeds of two trains is 3:4. If the second train runs 400 km in 4 hours, find the speed of the first train. 60 km/hr 75 km/hr 90 km/hr 105 km/hr Speed of the second train = 400 km / 4 hrs = 100 km/hr. Using the ratio of speeds, 3:4, speed of the first train = 3/4 × 100 = 75 km/hr. 3 / 50 Solve the analogy: River is to Dam as Traffic is to: Car Road Light Bridge A ‘Dam’ controls the flow of a ‘River’; similarly, a ‘Traffic Light’ controls the flow of ‘Traffic’. 4 / 50 The ‘Montreal Protocol’, an international treaty to protect the ozone layer, was signed in which year? 1987 1990 1992 1997 The Montreal Protocol was signed in 1987 and came into effect in 1989. It is an international treaty designed to protect the ozone layer by phasing out the production of substances believed to be responsible for ozone depletion, such as chlorofluorocarbons (CFCs). The protocol has been hailed as one of the most successful environmental agreements to date. 5 / 50 Identify the sentence that correctly uses the phrase ‘cross that bridge when you come to it’: She decided to worry about the problem later, choosing to cross that bridge when she comes to it. They literally crossed the bridge when they arrived at it. To cross that bridge when you come to it, she planned ahead. Crossing that bridge when they came to it, they felt unprepared. “She decided to worry about the problem later, choosing to cross that bridge when she comes to it” is the correct usage. ‘Cross that bridge when you come to it’ means to deal with a problem if and when it becomes necessary, not before. Example: “We’ll figure out how to handle the negotiations when the time comes; we’ll cross that bridge when we come to it.” 6 / 50 What comes next in the series: 2A, 4C, 6E, 8G, …? 10I 10J 11I 11J The series alternates between increasing even numbers and subsequent letters. After 8G, the next term is 10I. 7 / 50 If 8% of x = 4% of y, then what percent of x is y? 40% 50% 60% 80% Given 8% of x = 4% of y, or 0.08x = 0.04y. Solving for y, y = 2x. Hence, y is 50% of x. 8 / 50 The Vedic civilization is known for the composition of Vedas Puranas Upanishads Smritis The Vedas, a large body of religious texts, were composed during the Vedic civilization. They form the oldest layer of Sanskrit literature and the oldest scriptures of Hinduism. 9 / 50 Choose the correct passive form: “Someone will solve the problem.” The problem will be solved by someone. The problem will solve by someone. The problem will be solving by someone. The problem is being solved by someone. The correct passive form is “The problem will be solved by someone,” maintaining the future tense and passive voice structure. 10 / 50 Statement and Argument: Statement: Is a vegetarian diet healthier than a non-vegetarian diet? Argument 1: Yes, it reduces the risk of heart disease. Argument 2: No, it may lead to nutrient deficiencies. Only Argument 1 is strong Only Argument 2 is strong Both arguments are strong Neither argument is strong Both arguments present strong and valid points. Argument 1 highlights a potential health benefit of a vegetarian diet, while Argument 2 points out a possible drawback. Both aspects are crucial for a balanced view on dietary choices. 11 / 50 Identify the correct passive form of: “Someone stole my bicycle yesterday.” My bicycle was stolen by someone yesterday. My bicycle had been stolen by someone yesterday. My bicycle has been stolen by someone yesterday. My bicycle was being stolen by someone yesterday. “My bicycle was stolen by someone yesterday” is the correct passive form. The past simple tense ‘stole’ becomes ‘was stolen’ in the passive voice. Example: “The package was delivered by the courier this morning.” 12 / 50 Logical Puzzles: A watch shows the time as 3:15. If the hour hand points to the East, in which direction will the minute hand point? North South West North-West At 3:15, the hour and minute hands are at a 90-degree angle. If the hour hand at 3 points East, the minute hand at 15 minutes (or 3 on the clock) will point North. 13 / 50 Statement and Argument: Statement: Should all schools implement a uniform dress code for students? Argument 1: Yes, it promotes equality among students. Argument 2: No, it restricts students’ freedom of expression. Only Argument 1 is strong Only Argument 2 is strong Both arguments are strong Neither argument is strong Both arguments present valid points. Argument 1 focuses on promoting equality, while Argument 2 emphasizes personal freedom and expression. Both are important considerations in the debate over school uniforms. 14 / 50 Cause and Effect: Due to heavy rainfall, a scheduled outdoor concert is moved indoors. What can be inferred? The concert cannot be held outdoors. Indoor venues are more suitable for concerts. The rainfall was unexpected. All outdoor events are susceptible to weather changes. The most direct inference is that the concert cannot be held outdoors due to heavy rainfall. This is a logical reaction to the weather condition affecting the scheduled outdoor event. The other options are broader inferences that are not directly supported by the given information. 15 / 50 Which phrase is an example of a metaphor? Raining cats and dogs Heart of stone Ran like the wind A sea of troubles “Heart of stone” is a metaphor as it equates one thing (heart) to another (stone) to imply hardness or lack of emotion. 16 / 50 A train moving at a speed of 80 km/hr crosses a pole in 9 seconds. Find the length of the train. 180 meters 200 meters 220 meters 240 meters Speed = 80 km/hr = 80 * (1000/3600) m/s = 22.22 m/s. Distance covered in 9 seconds (length of train) = Speed * Time = 22.22 m/s * 9 s ≈ 200 meters. 17 / 50 Given the roll numbers: A. 1234 B. 5678 C. 9012, which of these belong to the series starting with ‘5’? A & B B only B & C A & C Roll number B (5678) starts with ‘5’, fitting the criteria. 18 / 50 Which set of letters follows the same rule as ‘FLIP : GKPJ’? STAR : UTBS TIME : UNJF PLAY : QMBX MORE : NPSF Each letter in ‘FLIP’ is moved one step forward to get ‘GKPJ’. Similarly, in ‘TIME’, T->U, I->N, M->J, E->F, so ‘UNJF’. 19 / 50 The average of 9 numbers is 50. If the average of the first 5 is 54 and that of the last 3 is 52, find the 6th number. 24 34 38 42 Total of 9 numbers = 9 * 50 = 450. Total of first 5 numbers = 5 * 54 = 270. Total of last 3 numbers = 3 * 52 = 156. The 6th number = Total – (Sum of first 5 and last 3) = 450 – (270 + 156) = 24. 20 / 50 Find the missing term: Z5C, Y8F, X12I, W17L, ? V23O V23P V22O V22P The pattern is the first letter decreasing by 1, the number increasing by 3, 4, 5, etc., and the last letter increasing by 3. So, after W17L, it is V23O. 21 / 50 In a family, P is Q’s father, R is P’s mother, S is R’s husband. If T is S’s daughter, how is Q related to T? Sister Nephew Niece Brother Since P is Q’s father and R’s son, and T is S’s (R’s husband) daughter, T is P’s sister, making Q her nephew. 22 / 50 If ‘TRAIN’ is coded as ‘UQBJO’, how is ‘PLANE’ coded? QMBOF QMBOF QNBOF RMCNG Each letter in ‘TRAIN’ is moved one position forward in the alphabet. Applying the same rule, ‘PLANE’ becomes ‘QMBOF’. 23 / 50 Passage for comprehension: “The advent of the internet has transformed the way we communicate. It has made information more accessible and has changed how we interact socially.” – What is the main impact of the internet according to the passage? Changed social interactions Made information accessible Transformed communication All of the above The passage indicates that the internet has had multiple impacts: making information more accessible, transforming communication, and changing social interactions. Hence, “All of the above” is the correct option. 24 / 50 Assumption in Argument: “Installing more CCTV cameras will reduce crime in the area.” What is the underlying assumption? CCTV cameras deter crime. The area currently has a high crime rate. CCTV footage is always reliable. Crime rates cannot be reduced by other means. The assumption is that CCTV cameras act as a deterrent to crime. The argument is based on the premise that the presence of CCTV cameras will reduce criminal activity. 25 / 50 The sum of two numbers is 45 and their difference is 15. Find the numbers. 15 and 30 18 and 33 20 and 35 25 and 40 Let the numbers be x and y with x > y. x + y = 45 and x – y = 15. Adding these two equations, 2x = 60, giving x = 30. Therefore, y = 45 – 30 = 15. So, the numbers are 30 and 15. 26 / 50 Identify the correct passive form of: “Scientists have discovered a new method to treat the disease.” A new method to treat the disease has been discovered by scientists. A new method to treat the disease was discovered by scientists. A new method to treat the disease is being discovered by scientists. A new method to treat the disease will be discovered by scientists. “A new method to treat the disease has been discovered by scientists” is the correct passive form. The present perfect tense ‘have discovered’ becomes ‘has been discovered’ in the passive voice. Example: “A breakthrough in medical research has been achieved recently.” 27 / 50 The Right to Education Act (RTE) in India, making education a fundamental right, was enacted in 2002 2005 2009 2012 The Right to Education Act (RTE) was enacted in 2009, making education a fundamental right for children aged 6 to 14 years. It mandates free and compulsory education for all children in this age group. 28 / 50 The term ‘Mixed Economy’ refers to an economic system combining Public and Private sectors Agriculture and Industries Domestic and International trade Manual and Automated processes A ‘Mixed Economy’ combines elements of both capitalism and socialism, featuring a mix of public and private ownership and control. India is an example of a mixed economy. 29 / 50 Identify the sentence with correct use of the past perfect tense: I had finished my homework when she called. I have finished my homework when she called. I finished my homework when she had called. I was finishing my homework when she calls. “I had finished my homework when she called.” is correct. The past perfect tense is used to show that one action was completed before another in the past. In this sentence, ‘had finished’ indicates that the homework was completed before ‘she called’. 30 / 50 In a ΔPQR, if PQ = QR and ∠PQR = 100°, find ∠QPR. 40° 45° 50° 55° Since PQ = QR, ΔPQR is isosceles. The angles opposite the equal sides are equal, so ∠QRP = ∠QPR. Let each of these angles be x. Then, x + x + 100° = 180° (sum of angles in a triangle). Solving gives x = 40°. 31 / 50 A man invests a certain sum of money at 6% p.a. simple interest and another sum at 7% p.a. simple interest. His yearly income from both the investments is ₹800. If the total sum invested was ₹12,000, find the sum invested at 6% p.a. ₹ 4,000 ₹ 5,000 ₹ 6,000 ₹ 7,000 Let the sum invested at 6% be x. Then, the sum invested at 7% is ₹12,000 – x. The total income is 6% of x + 7% of (₹12,000 – x) = ₹800. Solving for x gives x = ₹6000. 32 / 50 Identify the correctly used phrase: Between you and I Between you and me Between your and me Between I and you “Between you and me” is correct. “Between” is a preposition and should be followed by object pronouns, which in this case are “you” and “me.” 33 / 50 A circle and a rectangle have the same perimeter. If the radius of the circle is 14 cm, find the area of the rectangle if its length is twice its breadth. 308 cm² 616 cm² 924 cm² 1232 cm² Perimeter of the circle = 2πr = 2 * 22/7 * 14 = 88 cm. Let the breadth of the rectangle be x cm. Then, length = 2x cm. Perimeter of rectangle = 2(x + 2x) = 6x cm. Equating, 6x = 88, x = 14.67 cm. Area = length * breadth = 2x * x ≈ 616 cm². 34 / 50 A and B can do a piece of work in 15 days and 10 days respectively. They start the work together, but A leaves after 2 days. In how many days will B complete the remaining work? 6 days 7 days 8 days 9 days A’s 1 day’s work = 1/15, B’s 1 day’s work = 1/10. Work done by A and B in 2 days = 2 * (1/15 + 1/10) = 1/3. Remaining work = 1 – 1/3 = 2/3. B completes 1/10 of work in 1 day, so for 2/3 work, B will take 2/3 * 10 = 6.67 days, which is approximately 7 days. 35 / 50 Which word does not belong: Obscure, Transparent, Opaque, Clouded Obscure Transparent Opaque Clouded ‘Transparent’ is the odd one out as the other words are synonyms for ‘not clear’ or ‘difficult to see through’. 36 / 50 Blood Relations: If A is the brother of B, B is the sister of C, and C is the father of D, how is A related to D? Uncle Brother Cousin Father A is the brother of B, who is the sister of C. C, being the father of D, makes A the uncle of D. 37 / 50 Matrix and Grids: In a 3×3 grid, each cell contains numbers from 1 to 9 without repetition. What is the sum of numbers in the diagonal from the top left to the bottom right? 15 17 19 21 The sum of the numbers in the diagonal from the top left to the bottom right in any 3×3 grid with distinct numbers from 1 to 9 will always be 15 (for example, 1 + 5 + 9). This is because the middle number (5) is always included in this diagonal, and the remaining two numbers will always sum to 10. 38 / 50 The ‘Ramsar Convention’, an international treaty for wetland conservation, was established in which year? 1971 1982 1992 2000 The ‘Ramsar Convention’, an international treaty for the conservation and sustainable use of wetlands, was established in 1971. This convention aims to protect and conserve wetlands of international importance, recognizing their value for biodiversity, flood control, water purification, and as habitats for a variety of flora and fauna. Signatory countries commit to maintaining the ecological character of their designated wetlands and to planning for their wise use and management. 39 / 50 Which is the world’s largest island? Greenland New Guinea Borneo Madagascar Greenland is the world’s largest island, located between the Arctic and Atlantic oceans. It is an autonomous territory within the Kingdom of Denmark. 40 / 50 If the HCF of 36 and a number ‘n’ is 12, what could be a possible value of ‘n’? 24 48 60 72 The HCF of two numbers divides both numbers completely. Since 12 is the HCF of 36 and ‘n’, ‘n’ must be a multiple of 12. Among the options, 48 is a multiple of 12 and when divided by 36, leaves 12 as HCF. 41 / 50 The Reserve Bank of India was established in 1935 1947 1950 1952 The Reserve Bank of India (RBI) was established on April 1, 1935, in accordance with the provisions of the Reserve Bank of India Act, 1934. It serves as the nation’s central bank and regulates the monetary policy of the Indian rupee. 42 / 50 Find the error in the sentence: “The data from the experiments shows that the hypothesis is correct.” The data from the experiments shows that the hypothesis is correct The error is in “shows.” “Data” is a plural noun, so the verb should be “show.” Correct sentence: “The data from the experiments show that the hypothesis is correct.” 43 / 50 A boat goes 30 km upstream and 44 km downstream in 10 hours. In 13 hours, it can go 40 km upstream and 55 km downstream. Find the speed of the boat in still water. 5 km/hr 6 km/hr 7 km/hr 8 km/hr Let the speed of the boat in still water be b km/hr and the speed of the stream be s km/hr. Upstream speed = b – s, Downstream speed = b + s. From the given equations, solve the two equations 30/(b-s) + 44/(b+s) = 10 and 40/(b-s) + 55/(b+s) = 13 to find b = 7 km/hr. 44 / 50 India’s first Greenfield smart city is being developed in Gujarat Maharashtra Andhra Pradesh Karnataka India’s first Greenfield smart city, the Gujarat International Finance Tec-City (GIFT City), is being developed in Gujarat. It’s planned as a global financial and IT services hub. 45 / 50 Find the error in the sentence: “Many a student have failed the exam due to lack of study.” Many a student have due to lack of study The error is in “have.” “Many a” is followed by a singular noun and verb, so it should be “has.” Correct sentence: “Many a student has failed the exam due to lack of study.” 46 / 50 The Goods and Services Tax (GST) in India is a Direct Tax Indirect Tax Corporate Tax Wealth Tax GST is an Indirect Tax which has replaced many Indirect Taxes in India. It is a comprehensive, multi-stage, destination-based tax. 47 / 50 Passage for comprehension: “Virtual reality technology is not just for entertainment; it has practical applications in fields like education and healthcare. It offers immersive experiences that enhance learning and medical training.” – According to the passage, what is a practical application of virtual reality technology? Entertainment Education Healthcare Both B and C The passage indicates that virtual reality technology has practical applications in education and healthcare, making “Both B and C” the correct answer. 48 / 50 A shopkeeper sells an item at a profit of 20%. If the cost price is ₹500, what is the selling price? ₹ 600 ₹ 700 ₹ 800 ₹ 900 Profit = 20% of Cost Price = 20/100 * 500 = ₹100. So, Selling Price = Cost Price + Profit = ₹500 + ₹100 = ₹600. 49 / 50 The length of a rectangle is increased by 10% and its breadth is decreased by 10%. Find the percentage change in its area. 1% decrease 1% increase No change 2% decrease Let original length = l and breadth = b. New length = 1.1l, new breadth = 0.9b. New area = 1.1l * 0.9b = 0.99lb. Decrease = 0.01lb, which is a 1% decrease. 50 / 50 A clock shows the time as 3:15. What is the angle between the hour and the minute hands? 0° 7.5° 15° 22.5° At 3:00, the hour hand is at 3 and the minute hand is at 12. In 15 minutes, the minute hand moves to 3, but the hour hand also moves 1/4 of the way between 3 and 4. The angle covered in one hour is 30°, so in 15 minutes, it’s 7.5°. Your score is The average score is 4% Restart Exam Exit
SAMPLE TEST | STAFF SELECTION COMMISSION (SSC) | CGL TIER 1
Staff Selection Commission (SSC) CGL Sample Test Paper No. of Questions: 50 Tier 1
1 / 50
Critical Thinking: A study shows that walking 10,000 steps a day reduces the risk of heart disease. As a result, a health app starts a challenge encouraging users to walk 10,000 steps daily. What is the implicit assumption?
The implicit assumption is that the health app’s challenge to encourage walking 10,000 steps daily will reduce the risk of heart disease among its users. This is based on the belief that the study’s findings can be effectively applied through the app’s challenge.
2 / 50
The ratio of the speeds of two trains is 3:4. If the second train runs 400 km in 4 hours, find the speed of the first train.
Speed of the second train = 400 km / 4 hrs = 100 km/hr. Using the ratio of speeds, 3:4, speed of the first train = 3/4 × 100 = 75 km/hr.
3 / 50
Solve the analogy: River is to Dam as Traffic is to:
A ‘Dam’ controls the flow of a ‘River’; similarly, a ‘Traffic Light’ controls the flow of ‘Traffic’.
4 / 50
The ‘Montreal Protocol’, an international treaty to protect the ozone layer, was signed in which year?
The Montreal Protocol was signed in 1987 and came into effect in 1989. It is an international treaty designed to protect the ozone layer by phasing out the production of substances believed to be responsible for ozone depletion, such as chlorofluorocarbons (CFCs). The protocol has been hailed as one of the most successful environmental agreements to date.
5 / 50
Identify the sentence that correctly uses the phrase ‘cross that bridge when you come to it’:
“She decided to worry about the problem later, choosing to cross that bridge when she comes to it” is the correct usage. ‘Cross that bridge when you come to it’ means to deal with a problem if and when it becomes necessary, not before. Example: “We’ll figure out how to handle the negotiations when the time comes; we’ll cross that bridge when we come to it.”
6 / 50
What comes next in the series: 2A, 4C, 6E, 8G, …?
The series alternates between increasing even numbers and subsequent letters. After 8G, the next term is 10I.
7 / 50
If 8% of x = 4% of y, then what percent of x is y?
Given 8% of x = 4% of y, or 0.08x = 0.04y. Solving for y, y = 2x. Hence, y is 50% of x.
8 / 50
The Vedic civilization is known for the composition of
The Vedas, a large body of religious texts, were composed during the Vedic civilization. They form the oldest layer of Sanskrit literature and the oldest scriptures of Hinduism.
9 / 50
Choose the correct passive form: “Someone will solve the problem.”
The correct passive form is “The problem will be solved by someone,” maintaining the future tense and passive voice structure.
10 / 50
Statement and Argument: Statement: Is a vegetarian diet healthier than a non-vegetarian diet? Argument 1: Yes, it reduces the risk of heart disease. Argument 2: No, it may lead to nutrient deficiencies.
Both arguments present strong and valid points. Argument 1 highlights a potential health benefit of a vegetarian diet, while Argument 2 points out a possible drawback. Both aspects are crucial for a balanced view on dietary choices.
11 / 50
Identify the correct passive form of: “Someone stole my bicycle yesterday.”
“My bicycle was stolen by someone yesterday” is the correct passive form. The past simple tense ‘stole’ becomes ‘was stolen’ in the passive voice. Example: “The package was delivered by the courier this morning.”
12 / 50
Logical Puzzles: A watch shows the time as 3:15. If the hour hand points to the East, in which direction will the minute hand point?
At 3:15, the hour and minute hands are at a 90-degree angle. If the hour hand at 3 points East, the minute hand at 15 minutes (or 3 on the clock) will point North.
13 / 50
Statement and Argument: Statement: Should all schools implement a uniform dress code for students? Argument 1: Yes, it promotes equality among students. Argument 2: No, it restricts students’ freedom of expression.
Both arguments present valid points. Argument 1 focuses on promoting equality, while Argument 2 emphasizes personal freedom and expression. Both are important considerations in the debate over school uniforms.
14 / 50
Cause and Effect: Due to heavy rainfall, a scheduled outdoor concert is moved indoors. What can be inferred?
The most direct inference is that the concert cannot be held outdoors due to heavy rainfall. This is a logical reaction to the weather condition affecting the scheduled outdoor event. The other options are broader inferences that are not directly supported by the given information.
15 / 50
Which phrase is an example of a metaphor?
“Heart of stone” is a metaphor as it equates one thing (heart) to another (stone) to imply hardness or lack of emotion.
16 / 50
A train moving at a speed of 80 km/hr crosses a pole in 9 seconds. Find the length of the train.
Speed = 80 km/hr = 80 * (1000/3600) m/s = 22.22 m/s. Distance covered in 9 seconds (length of train) = Speed * Time = 22.22 m/s * 9 s ≈ 200 meters.
17 / 50
Given the roll numbers: A. 1234 B. 5678 C. 9012, which of these belong to the series starting with ‘5’?
Roll number B (5678) starts with ‘5’, fitting the criteria.
18 / 50
Which set of letters follows the same rule as ‘FLIP : GKPJ’?
Each letter in ‘FLIP’ is moved one step forward to get ‘GKPJ’. Similarly, in ‘TIME’, T->U, I->N, M->J, E->F, so ‘UNJF’.
19 / 50
The average of 9 numbers is 50. If the average of the first 5 is 54 and that of the last 3 is 52, find the 6th number.
Total of 9 numbers = 9 * 50 = 450. Total of first 5 numbers = 5 * 54 = 270. Total of last 3 numbers = 3 * 52 = 156. The 6th number = Total – (Sum of first 5 and last 3) = 450 – (270 + 156) = 24.
20 / 50
Find the missing term: Z5C, Y8F, X12I, W17L, ?
The pattern is the first letter decreasing by 1, the number increasing by 3, 4, 5, etc., and the last letter increasing by 3. So, after W17L, it is V23O.
21 / 50
In a family, P is Q’s father, R is P’s mother, S is R’s husband. If T is S’s daughter, how is Q related to T?
Since P is Q’s father and R’s son, and T is S’s (R’s husband) daughter, T is P’s sister, making Q her nephew.
22 / 50
If ‘TRAIN’ is coded as ‘UQBJO’, how is ‘PLANE’ coded?
Each letter in ‘TRAIN’ is moved one position forward in the alphabet. Applying the same rule, ‘PLANE’ becomes ‘QMBOF’.
23 / 50
Passage for comprehension: “The advent of the internet has transformed the way we communicate. It has made information more accessible and has changed how we interact socially.” – What is the main impact of the internet according to the passage?
The passage indicates that the internet has had multiple impacts: making information more accessible, transforming communication, and changing social interactions. Hence, “All of the above” is the correct option.
24 / 50
Assumption in Argument: “Installing more CCTV cameras will reduce crime in the area.” What is the underlying assumption?
The assumption is that CCTV cameras act as a deterrent to crime. The argument is based on the premise that the presence of CCTV cameras will reduce criminal activity.
25 / 50
The sum of two numbers is 45 and their difference is 15. Find the numbers.
Let the numbers be x and y with x > y. x + y = 45 and x – y = 15. Adding these two equations, 2x = 60, giving x = 30. Therefore, y = 45 – 30 = 15. So, the numbers are 30 and 15.
26 / 50
Identify the correct passive form of: “Scientists have discovered a new method to treat the disease.”
“A new method to treat the disease has been discovered by scientists” is the correct passive form. The present perfect tense ‘have discovered’ becomes ‘has been discovered’ in the passive voice. Example: “A breakthrough in medical research has been achieved recently.”
27 / 50
The Right to Education Act (RTE) in India, making education a fundamental right, was enacted in
The Right to Education Act (RTE) was enacted in 2009, making education a fundamental right for children aged 6 to 14 years. It mandates free and compulsory education for all children in this age group.
28 / 50
The term ‘Mixed Economy’ refers to an economic system combining
A ‘Mixed Economy’ combines elements of both capitalism and socialism, featuring a mix of public and private ownership and control. India is an example of a mixed economy.
29 / 50
Identify the sentence with correct use of the past perfect tense:
“I had finished my homework when she called.” is correct. The past perfect tense is used to show that one action was completed before another in the past. In this sentence, ‘had finished’ indicates that the homework was completed before ‘she called’.
30 / 50
In a ΔPQR, if PQ = QR and ∠PQR = 100°, find ∠QPR.
Since PQ = QR, ΔPQR is isosceles. The angles opposite the equal sides are equal, so ∠QRP = ∠QPR. Let each of these angles be x. Then, x + x + 100° = 180° (sum of angles in a triangle). Solving gives x = 40°.
31 / 50
A man invests a certain sum of money at 6% p.a. simple interest and another sum at 7% p.a. simple interest. His yearly income from both the investments is ₹800. If the total sum invested was ₹12,000, find the sum invested at 6% p.a.
Let the sum invested at 6% be x. Then, the sum invested at 7% is ₹12,000 – x. The total income is 6% of x + 7% of (₹12,000 – x) = ₹800. Solving for x gives x = ₹6000.
32 / 50
Identify the correctly used phrase:
“Between you and me” is correct. “Between” is a preposition and should be followed by object pronouns, which in this case are “you” and “me.”
33 / 50
A circle and a rectangle have the same perimeter. If the radius of the circle is 14 cm, find the area of the rectangle if its length is twice its breadth.
Perimeter of the circle = 2πr = 2 * 22/7 * 14 = 88 cm. Let the breadth of the rectangle be x cm. Then, length = 2x cm. Perimeter of rectangle = 2(x + 2x) = 6x cm. Equating, 6x = 88, x = 14.67 cm. Area = length * breadth = 2x * x ≈ 616 cm².
34 / 50
A and B can do a piece of work in 15 days and 10 days respectively. They start the work together, but A leaves after 2 days. In how many days will B complete the remaining work?
A’s 1 day’s work = 1/15, B’s 1 day’s work = 1/10. Work done by A and B in 2 days = 2 * (1/15 + 1/10) = 1/3. Remaining work = 1 – 1/3 = 2/3. B completes 1/10 of work in 1 day, so for 2/3 work, B will take 2/3 * 10 = 6.67 days, which is approximately 7 days.
35 / 50
Which word does not belong: Obscure, Transparent, Opaque, Clouded
‘Transparent’ is the odd one out as the other words are synonyms for ‘not clear’ or ‘difficult to see through’.
36 / 50
Blood Relations: If A is the brother of B, B is the sister of C, and C is the father of D, how is A related to D?
A is the brother of B, who is the sister of C. C, being the father of D, makes A the uncle of D.
37 / 50
Matrix and Grids: In a 3×3 grid, each cell contains numbers from 1 to 9 without repetition. What is the sum of numbers in the diagonal from the top left to the bottom right?
The sum of the numbers in the diagonal from the top left to the bottom right in any 3×3 grid with distinct numbers from 1 to 9 will always be 15 (for example, 1 + 5 + 9). This is because the middle number (5) is always included in this diagonal, and the remaining two numbers will always sum to 10.
38 / 50
The ‘Ramsar Convention’, an international treaty for wetland conservation, was established in which year?
The ‘Ramsar Convention’, an international treaty for the conservation and sustainable use of wetlands, was established in 1971. This convention aims to protect and conserve wetlands of international importance, recognizing their value for biodiversity, flood control, water purification, and as habitats for a variety of flora and fauna. Signatory countries commit to maintaining the ecological character of their designated wetlands and to planning for their wise use and management.
39 / 50
Which is the world’s largest island?
Greenland is the world’s largest island, located between the Arctic and Atlantic oceans. It is an autonomous territory within the Kingdom of Denmark.
40 / 50
If the HCF of 36 and a number ‘n’ is 12, what could be a possible value of ‘n’?
The HCF of two numbers divides both numbers completely. Since 12 is the HCF of 36 and ‘n’, ‘n’ must be a multiple of 12. Among the options, 48 is a multiple of 12 and when divided by 36, leaves 12 as HCF.
41 / 50
The Reserve Bank of India was established in
The Reserve Bank of India (RBI) was established on April 1, 1935, in accordance with the provisions of the Reserve Bank of India Act, 1934. It serves as the nation’s central bank and regulates the monetary policy of the Indian rupee.
42 / 50
Find the error in the sentence: “The data from the experiments shows that the hypothesis is correct.”
The error is in “shows.” “Data” is a plural noun, so the verb should be “show.” Correct sentence: “The data from the experiments show that the hypothesis is correct.”
43 / 50
A boat goes 30 km upstream and 44 km downstream in 10 hours. In 13 hours, it can go 40 km upstream and 55 km downstream. Find the speed of the boat in still water.
Let the speed of the boat in still water be b km/hr and the speed of the stream be s km/hr. Upstream speed = b – s, Downstream speed = b + s. From the given equations, solve the two equations 30/(b-s) + 44/(b+s) = 10 and 40/(b-s) + 55/(b+s) = 13 to find b = 7 km/hr.
44 / 50
India’s first Greenfield smart city is being developed in
India’s first Greenfield smart city, the Gujarat International Finance Tec-City (GIFT City), is being developed in Gujarat. It’s planned as a global financial and IT services hub.
45 / 50
Find the error in the sentence: “Many a student have failed the exam due to lack of study.”
The error is in “have.” “Many a” is followed by a singular noun and verb, so it should be “has.” Correct sentence: “Many a student has failed the exam due to lack of study.”
46 / 50
The Goods and Services Tax (GST) in India is a
GST is an Indirect Tax which has replaced many Indirect Taxes in India. It is a comprehensive, multi-stage, destination-based tax.
47 / 50
Passage for comprehension: “Virtual reality technology is not just for entertainment; it has practical applications in fields like education and healthcare. It offers immersive experiences that enhance learning and medical training.” – According to the passage, what is a practical application of virtual reality technology?
The passage indicates that virtual reality technology has practical applications in education and healthcare, making “Both B and C” the correct answer.
48 / 50
A shopkeeper sells an item at a profit of 20%. If the cost price is ₹500, what is the selling price?
Profit = 20% of Cost Price = 20/100 * 500 = ₹100. So, Selling Price = Cost Price + Profit = ₹500 + ₹100 = ₹600.
49 / 50
The length of a rectangle is increased by 10% and its breadth is decreased by 10%. Find the percentage change in its area.
Let original length = l and breadth = b. New length = 1.1l, new breadth = 0.9b. New area = 1.1l * 0.9b = 0.99lb. Decrease = 0.01lb, which is a 1% decrease.
50 / 50
A clock shows the time as 3:15. What is the angle between the hour and the minute hands?
At 3:00, the hour hand is at 3 and the minute hand is at 12. In 15 minutes, the minute hand moves to 3, but the hour hand also moves 1/4 of the way between 3 and 4. The angle covered in one hour is 30°, so in 15 minutes, it’s 7.5°.
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