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Page 1 Quantitative Techniques and Data Interpretation 1. Given below are two statements : Statement I: A savings account at Bank A pays 6.2% interest, compounded annually. Bank B's savings account pays 6% compounded semi-annually. Bank B is paying less total interest each year. Statement II: A sum of money at a certain rate of compound interest doubles in 3 years. In 9 years, it will be P times original principal. Then P = 9. In the light of the above statements, choose the correct answer from the options given below. A Both Statement I and Statement II are true B Both Statement I and Statement II are false C Statement I is true but Statement II is false D Statement I is false but Statement II is true 2. Consider the following gur e that shows the graph of the function F de ned b y F(x) = | 2x | + 4 for all numbers x: For which of the following functions G de ned for all numbers x does the gr aph of G intersect the graph of F? A G(x) = x + 3 B G(X)= 2x - 2 C G(X)= 2x + 3 D G(x)= 3x -2 3. If the selling price of 320 Web Cameras is equal to the cost price of 400 Web Cameras, then the percentage pro t is : A 12% B 20% C 40% Page 2 Quantitative Techniques and Data Interpretation 1. Given below are two statements : Statement I: A savings account at Bank A pays 6.2% interest, compounded annually. Bank B's savings account pays 6% compounded semi-annually. Bank B is paying less total interest each year. Statement II: A sum of money at a certain rate of compound interest doubles in 3 years. In 9 years, it will be P times original principal. Then P = 9. In the light of the above statements, choose the correct answer from the options given below. A Both Statement I and Statement II are true B Both Statement I and Statement II are false C Statement I is true but Statement II is false D Statement I is false but Statement II is true 2. Consider the following gur e that shows the graph of the function F de ned b y F(x) = | 2x | + 4 for all numbers x: For which of the following functions G de ned for all numbers x does the gr aph of G intersect the graph of F? A G(x) = x + 3 B G(X)= 2x - 2 C G(X)= 2x + 3 D G(x)= 3x -2 3. If the selling price of 320 Web Cameras is equal to the cost price of 400 Web Cameras, then the percentage pro t is : A 12% B 20% C 40% D 25% 4. The cost of the three components A, B and C of an electronic machine worth ?12,000 in 2020 is given as a Pie-chart as shown below : In the following year, the cost of these three components A, B, and C increased by 10%, 20%, and 10% respectively. The cost of the three components A, B, and C respectively in 2021, was A ?3,300, ?4,950, ?5,350 B ?3,300, ?4,800, ?5,500 C ?3,200, ?4,700, ?5,600 D ?3,600, ?4,800, ?5,600 5. What is the 95th term of the following letter series? A, A, B, B, B, B,C, C,C, C,C, C, D, D, D, D, D, D, D, D, E, ... A H B I C J D K 6. A certain sum of money earns a simple interest of ? 800 over 2-year period. The same sum of money invested at the same rate of interest and same period on a compound interest basis earns an interest of ? 900. What is the sum? A ?1,200 B ?1,600 C ?2,000 D ?2,400 7. If x > 0, then which of the following expressions are equal to 3.6% of ? A. 3 percent of 20x B. x percent of C. 3x percent of 0.2 12 5 x 2 3 Page 3 Quantitative Techniques and Data Interpretation 1. Given below are two statements : Statement I: A savings account at Bank A pays 6.2% interest, compounded annually. Bank B's savings account pays 6% compounded semi-annually. Bank B is paying less total interest each year. Statement II: A sum of money at a certain rate of compound interest doubles in 3 years. In 9 years, it will be P times original principal. Then P = 9. In the light of the above statements, choose the correct answer from the options given below. A Both Statement I and Statement II are true B Both Statement I and Statement II are false C Statement I is true but Statement II is false D Statement I is false but Statement II is true 2. Consider the following gur e that shows the graph of the function F de ned b y F(x) = | 2x | + 4 for all numbers x: For which of the following functions G de ned for all numbers x does the gr aph of G intersect the graph of F? A G(x) = x + 3 B G(X)= 2x - 2 C G(X)= 2x + 3 D G(x)= 3x -2 3. If the selling price of 320 Web Cameras is equal to the cost price of 400 Web Cameras, then the percentage pro t is : A 12% B 20% C 40% D 25% 4. The cost of the three components A, B and C of an electronic machine worth ?12,000 in 2020 is given as a Pie-chart as shown below : In the following year, the cost of these three components A, B, and C increased by 10%, 20%, and 10% respectively. The cost of the three components A, B, and C respectively in 2021, was A ?3,300, ?4,950, ?5,350 B ?3,300, ?4,800, ?5,500 C ?3,200, ?4,700, ?5,600 D ?3,600, ?4,800, ?5,600 5. What is the 95th term of the following letter series? A, A, B, B, B, B,C, C,C, C,C, C, D, D, D, D, D, D, D, D, E, ... A H B I C J D K 6. A certain sum of money earns a simple interest of ? 800 over 2-year period. The same sum of money invested at the same rate of interest and same period on a compound interest basis earns an interest of ? 900. What is the sum? A ?1,200 B ?1,600 C ?2,000 D ?2,400 7. If x > 0, then which of the following expressions are equal to 3.6% of ? A. 3 percent of 20x B. x percent of C. 3x percent of 0.2 12 5 x 2 3 D. 0.05 percent of 3x E. Choose the correct answer from the options given below: A A and B only B A and E only C C and D only D B and E only 8. Given below are two statements : Statement I : Ravi walks from his house at a speed of 5 km per hour and reaches the college 10 minutes late. If he increases the speed by 1 km per hour next day, he reaches the college 4 minutes earlier than the scheduled time. If the college is P km far from his house, then P = 7.5 km. Statement II: Amit runs times as fast as Babita. If Amit gives Babita a start of 80 meters, then the winning post must be 140 meters far so that Amit and Babita might reach it at the same time. In the light of the above statements, choose the correct answer from the options given below. A Both Statement I and Statement II are true B Both Statement I and Statement II are false C Statement I is true but Statement II is false D Statement I is false but Statement II is true 9. Let a, b and c be the ages of three persons P , Q and R respectively where a b c are natural numbers. If the average age of P , Q, R is 32 years and if the age of Q is exactly 6 years more than that of P , then what is the minimum possible value of c? A 34 years B 36 years C 38 years D 32 years 10. Given below are two statements : A number of distinct 8-letter words are possible using the letters of the word SYLLABUS. If a word in chosen at random, then Statement I: The probability that the word contains the two S's together is Statement II : The probability that the word begins and ends with L is . In the light of the above statements, choose the correct answer from the options given below A Both Statement I and Statement II are true B Both Statement I and Statement II are false C Statement I is true but Statement II is false 200 3 x 2 3 1 = = 4 1 28 1 Page 4 Quantitative Techniques and Data Interpretation 1. Given below are two statements : Statement I: A savings account at Bank A pays 6.2% interest, compounded annually. Bank B's savings account pays 6% compounded semi-annually. Bank B is paying less total interest each year. Statement II: A sum of money at a certain rate of compound interest doubles in 3 years. In 9 years, it will be P times original principal. Then P = 9. In the light of the above statements, choose the correct answer from the options given below. A Both Statement I and Statement II are true B Both Statement I and Statement II are false C Statement I is true but Statement II is false D Statement I is false but Statement II is true 2. Consider the following gur e that shows the graph of the function F de ned b y F(x) = | 2x | + 4 for all numbers x: For which of the following functions G de ned for all numbers x does the gr aph of G intersect the graph of F? A G(x) = x + 3 B G(X)= 2x - 2 C G(X)= 2x + 3 D G(x)= 3x -2 3. If the selling price of 320 Web Cameras is equal to the cost price of 400 Web Cameras, then the percentage pro t is : A 12% B 20% C 40% D 25% 4. The cost of the three components A, B and C of an electronic machine worth ?12,000 in 2020 is given as a Pie-chart as shown below : In the following year, the cost of these three components A, B, and C increased by 10%, 20%, and 10% respectively. The cost of the three components A, B, and C respectively in 2021, was A ?3,300, ?4,950, ?5,350 B ?3,300, ?4,800, ?5,500 C ?3,200, ?4,700, ?5,600 D ?3,600, ?4,800, ?5,600 5. What is the 95th term of the following letter series? A, A, B, B, B, B,C, C,C, C,C, C, D, D, D, D, D, D, D, D, E, ... A H B I C J D K 6. A certain sum of money earns a simple interest of ? 800 over 2-year period. The same sum of money invested at the same rate of interest and same period on a compound interest basis earns an interest of ? 900. What is the sum? A ?1,200 B ?1,600 C ?2,000 D ?2,400 7. If x > 0, then which of the following expressions are equal to 3.6% of ? A. 3 percent of 20x B. x percent of C. 3x percent of 0.2 12 5 x 2 3 D. 0.05 percent of 3x E. Choose the correct answer from the options given below: A A and B only B A and E only C C and D only D B and E only 8. Given below are two statements : Statement I : Ravi walks from his house at a speed of 5 km per hour and reaches the college 10 minutes late. If he increases the speed by 1 km per hour next day, he reaches the college 4 minutes earlier than the scheduled time. If the college is P km far from his house, then P = 7.5 km. Statement II: Amit runs times as fast as Babita. If Amit gives Babita a start of 80 meters, then the winning post must be 140 meters far so that Amit and Babita might reach it at the same time. In the light of the above statements, choose the correct answer from the options given below. A Both Statement I and Statement II are true B Both Statement I and Statement II are false C Statement I is true but Statement II is false D Statement I is false but Statement II is true 9. Let a, b and c be the ages of three persons P , Q and R respectively where a b c are natural numbers. If the average age of P , Q, R is 32 years and if the age of Q is exactly 6 years more than that of P , then what is the minimum possible value of c? A 34 years B 36 years C 38 years D 32 years 10. Given below are two statements : A number of distinct 8-letter words are possible using the letters of the word SYLLABUS. If a word in chosen at random, then Statement I: The probability that the word contains the two S's together is Statement II : The probability that the word begins and ends with L is . In the light of the above statements, choose the correct answer from the options given below A Both Statement I and Statement II are true B Both Statement I and Statement II are false C Statement I is true but Statement II is false 200 3 x 2 3 1 = = 4 1 28 1 5/47 D Statement I is false but Statement II is true 11. What is the probability of getting a sum of 22 or more when four dice are thrown? A B C D 12. A train running at 18 km per hour crosses a mark on the platform in 9 seconds and takes 25 seconds to cross the platform. If P is the length of the train and Q is the length of the platform in meters, then (P, Q) = ___________ . A (45, 80) B (45, 75) C (50, 90) D (50, 80) 13. Three pipes P , Q and R can ll a tank in 6 hours. After working at it t ogether for 2 hours, R is closed and both P and Q can ll the r emaining part in 7 hours. The number of hours that will be taken by R alone to ll the tank is A 10 B 12 C 14 D 16 14. What is the area of an equilateral triangle whose inscribed circle has radius R? A B C D 15. The number of all integers n for which is a perfect square, is A 4 B 6 432 5 648 4 144 1 36 7 4 R 2 4 R 3 2 (3 + 2 ) R 2 2 3 R 3 2 n + 2 96 Page 5 Quantitative Techniques and Data Interpretation 1. Given below are two statements : Statement I: A savings account at Bank A pays 6.2% interest, compounded annually. Bank B's savings account pays 6% compounded semi-annually. Bank B is paying less total interest each year. Statement II: A sum of money at a certain rate of compound interest doubles in 3 years. In 9 years, it will be P times original principal. Then P = 9. In the light of the above statements, choose the correct answer from the options given below. A Both Statement I and Statement II are true B Both Statement I and Statement II are false C Statement I is true but Statement II is false D Statement I is false but Statement II is true 2. Consider the following gur e that shows the graph of the function F de ned b y F(x) = | 2x | + 4 for all numbers x: For which of the following functions G de ned for all numbers x does the gr aph of G intersect the graph of F? A G(x) = x + 3 B G(X)= 2x - 2 C G(X)= 2x + 3 D G(x)= 3x -2 3. If the selling price of 320 Web Cameras is equal to the cost price of 400 Web Cameras, then the percentage pro t is : A 12% B 20% C 40% D 25% 4. The cost of the three components A, B and C of an electronic machine worth ?12,000 in 2020 is given as a Pie-chart as shown below : In the following year, the cost of these three components A, B, and C increased by 10%, 20%, and 10% respectively. The cost of the three components A, B, and C respectively in 2021, was A ?3,300, ?4,950, ?5,350 B ?3,300, ?4,800, ?5,500 C ?3,200, ?4,700, ?5,600 D ?3,600, ?4,800, ?5,600 5. What is the 95th term of the following letter series? A, A, B, B, B, B,C, C,C, C,C, C, D, D, D, D, D, D, D, D, E, ... A H B I C J D K 6. A certain sum of money earns a simple interest of ? 800 over 2-year period. The same sum of money invested at the same rate of interest and same period on a compound interest basis earns an interest of ? 900. What is the sum? A ?1,200 B ?1,600 C ?2,000 D ?2,400 7. If x > 0, then which of the following expressions are equal to 3.6% of ? A. 3 percent of 20x B. x percent of C. 3x percent of 0.2 12 5 x 2 3 D. 0.05 percent of 3x E. Choose the correct answer from the options given below: A A and B only B A and E only C C and D only D B and E only 8. Given below are two statements : Statement I : Ravi walks from his house at a speed of 5 km per hour and reaches the college 10 minutes late. If he increases the speed by 1 km per hour next day, he reaches the college 4 minutes earlier than the scheduled time. If the college is P km far from his house, then P = 7.5 km. Statement II: Amit runs times as fast as Babita. If Amit gives Babita a start of 80 meters, then the winning post must be 140 meters far so that Amit and Babita might reach it at the same time. In the light of the above statements, choose the correct answer from the options given below. A Both Statement I and Statement II are true B Both Statement I and Statement II are false C Statement I is true but Statement II is false D Statement I is false but Statement II is true 9. Let a, b and c be the ages of three persons P , Q and R respectively where a b c are natural numbers. If the average age of P , Q, R is 32 years and if the age of Q is exactly 6 years more than that of P , then what is the minimum possible value of c? A 34 years B 36 years C 38 years D 32 years 10. Given below are two statements : A number of distinct 8-letter words are possible using the letters of the word SYLLABUS. If a word in chosen at random, then Statement I: The probability that the word contains the two S's together is Statement II : The probability that the word begins and ends with L is . In the light of the above statements, choose the correct answer from the options given below A Both Statement I and Statement II are true B Both Statement I and Statement II are false C Statement I is true but Statement II is false 200 3 x 2 3 1 = = 4 1 28 1 5/47 D Statement I is false but Statement II is true 11. What is the probability of getting a sum of 22 or more when four dice are thrown? A B C D 12. A train running at 18 km per hour crosses a mark on the platform in 9 seconds and takes 25 seconds to cross the platform. If P is the length of the train and Q is the length of the platform in meters, then (P, Q) = ___________ . A (45, 80) B (45, 75) C (50, 90) D (50, 80) 13. Three pipes P , Q and R can ll a tank in 6 hours. After working at it t ogether for 2 hours, R is closed and both P and Q can ll the r emaining part in 7 hours. The number of hours that will be taken by R alone to ll the tank is A 10 B 12 C 14 D 16 14. What is the area of an equilateral triangle whose inscribed circle has radius R? A B C D 15. The number of all integers n for which is a perfect square, is A 4 B 6 432 5 648 4 144 1 36 7 4 R 2 4 R 3 2 (3 + 2 ) R 2 2 3 R 3 2 n + 2 96 6/47 C 8 D 10 16. Given below are two statements : Statement I: The number of ways to pack six copies of the same book into four identical boxes where a box can contain as many as six books, is 9. Statement II: The minimum number of students needed in a class to guarantee that there are at least six students whose birthday fall in the same month, is 61 . In the light of the above statements, choose the correct answer from the options given below. A Both Statement I and Statement II are true B Both Statement I and Statement II are false C Statement I is true but Statement II is false D Statement I is false but Statement II is true 17. Given below are two statements : Statement I: The ratio of the son's age to the father's age is 1 : 5. The product of their ages is 245. The ratio of the son's age to the father's age after 9 years will be 3 : 5. Statement II: A milkman adds 30 litres of water to 70 litres of milk. After selling 1/5th of the total quantity, he adds water equal to the quantity he sold. The proportion of water to milk he sells now would be 28 : 72. In the light of the above statements, choose the correct answer from the options given below. A Both Statement I and Statement II are true B Both Statement I and Statement II are false C Statement I is true but Statement II is false D Statement I is false but Statement II is true 18. If , there which of the following equations are true? A. B. C. Choose the correct answer from the options given below: A A and B only B A and C only C B and C only D A, B and C only 19. If , then the value of = _____. A 4 B 3 C 2 x - = x 1 y, y - = y 1 z, z - = z 1 x + x 1 + y 1 = z 1 0 + x 2 1 + y 2 1 = z 2 1 8 + x y 1 + y z 1 = z x 1 -3 5 = a 9 = b 2025 a+ b a bRead More
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