This section includes InterviewSolutions, each offering curated multiple-choice questions to sharpen your knowledge and support exam preparation. Choose a topic below to get started.
| 1451. |
which of the following are identical (or equal) functions? f(x)=underroot(1-x^2), g(x)=underoot(1-x). underroot(1+x) |
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Answer» which of the following are identical (or equal) functions? f(x)=underroot(1-x^2), g(x)=underoot(1-x). underroot(1+x) |
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| 1452. |
What are the theorems related to circle? |
| Answer» What are the theorems related to circle? | |
| 1453. |
A ball is dropped vertically from a height d above the ground. It hits the ground and bounces up vertically to a height d/2. Neglecting subsequent motion and air resistance, its velocity v varies with height h above the ground as. |
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Answer» A ball is dropped vertically from a height d above the ground. It hits the ground and bounces up vertically to a height d/2. Neglecting subsequent motion and air resistance, its velocity v varies with height h above the ground as. |
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| 1454. |
In the adjoining figure circles with centres X and Y touch each other at point Z. A secant passing through Z intersects the circles at points A and B respectively. Prove that, radius XA || radius YB.Fill in the blanks and complete the proof. |
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Answer» In the adjoining figure circles with centres X and Y touch each other at point Z. A secant passing through Z intersects the circles at points A and B respectively. Prove that, radius XA || radius YB. Fill in the blanks and complete the proof.
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| 1455. |
67. There are six students A, B, C, D, E and F. They have to be seated in 6 seats such that A gets a seat behind D, B gets a seat behind E and C gets a seat behind F. The total number of possible ways are (a) 90 (c) 360 (b) 180 (d) 270 |
| Answer» 67. There are six students A, B, C, D, E and F. They have to be seated in 6 seats such that A gets a seat behind D, B gets a seat behind E and C gets a seat behind F. The total number of possible ways are (a) 90 (c) 360 (b) 180 (d) 270 | |
| 1456. |
28. From among a group of 2 men, 3 women and 4 children, 2 individuals are selected randomly. What is the probability that exactly 1 among the chosen are children? A. 2338 B. 1972 C. 2072 D. 2036 |
| Answer» 28. From among a group of 2 men, 3 women and 4 children, 2 individuals are selected randomly. What is the probability that exactly 1 among the chosen are children? A. 2338 B. 1972 C. 2072 D. 2036 | |
| 1457. |
(I) Majority of the students of the school passed in the Mathematics in the annual examination (II) Majority of the students of the school failed in the English in the annual examination |
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Answer» (I) Majority of the students of the school passed in the Mathematics in the annual examination (II) Majority of the students of the school failed in the English in the annual examination |
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| 1458. |
By what percent is rupees 2000 less than rupees 2400 ? Is it the same as the percent by which rupees 2400 is more than rupees 2000 ? |
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Answer» By what percent is rupees 2000 less than rupees 2400 ? Is it the same as the percent by which rupees 2400 is more than rupees 2000 ? |
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| 1459. |
Q43.A, B and C can do a piece of work in 11 days, 20 days and 55 days, respectively, working alone. How soon can the work be done if A is assisted by B and C on alternate days? |
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Answer» Q43.A, B and C can do a piece of work in 11 days, 20 days and 55 days, respectively, working alone. How soon can the work be done if A is assisted by B and C on alternate days?
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| 1460. |
A number when divided by 28 leave remainder of 16 what is the reminder when the same number is divided by 7 |
| Answer» A number when divided by 28 leave remainder of 16 what is the reminder when the same number is divided by 7 | |
| 1461. |
The number of instances where he scored the maximum marks possible in a particular subject is (type 0 if it cannot be determined) ___ |
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Answer» The number of instances where he scored the maximum marks possible in a particular subject is (type 0 if it cannot be determined) |
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| 1462. |
P is able to do a piece of work in 15 days and Q can do the same work in 20 days. If they can work together for 4 days, what is the fraction of work left? |
| Answer» P is able to do a piece of work in 15 days and Q can do the same work in 20 days. If they can work together for 4 days, what is the fraction of work left? | |
| 1463. |
D is the mid – point of side BC of Δ ABC and E is the mid – point BD. If O is the mid – point of AE, then prove that as ΔBOE=18ar(ΔABC) |
Answer» D is the mid – point of side BC of Δ ABC and E is the mid – point BD. If O is the mid – point of AE, then prove that as ΔBOE=18ar(ΔABC)
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| 1464. |
Input: go 186 shun be 39 67 log Which among the given steps will be the last step for the given input? |
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Answer» Input: go 186 shun be 39 67 log Which among the given steps will be the last step for the given input? |
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| 1465. |
If x2−3x+2 is a factor of x4−px4+q, then the values of p and q are |
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Answer» If x2−3x+2 is a factor of x4−px4+q, then the values of p and q are |
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| 1466. |
4. What is the area of the triangle formed by the points p (0, 1), Q (0, 5) and R (3 ,4) |
| Answer» 4. What is the area of the triangle formed by the points p (0, 1), Q (0, 5) and R (3 ,4) | |
| 1467. |
On which of the following intervals is the function given by f(x) =(x^100)+sinx-1 strictly decreasing? Options: (A) (0, 1) (B) (π/2, π) (C) (0, π/2) (D) None of these |
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Answer» On which of the following intervals is the function given by f(x) =(x^100)+sinx-1 strictly decreasing? Options: (A) (0, 1) (B) (π/2, π) (C) (0, π/2) (D) None of these |
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| 1468. |
Two pipes running together fill a tank in \(\frac{40}{13}\) minutes if one pipe takes 3 minutes more than the other find the time taken by each pipe to fill the tank. |
| Answer» Two pipes running together fill a tank in \(\frac{40}{13}\) minutes if one pipe takes 3 minutes more than the other find the time taken by each pipe to fill the tank. | |
| 1469. |
5 Find the area of an isosceles triangle whose base is b and vertical angle is 30 degree. |
| Answer» 5 Find the area of an isosceles triangle whose base is b and vertical angle is 30 degree. | |
| 1470. |
A straight line xa−yb=1 passes through the point (8, 6) and cuts off a triangle of area 12 units from the axes of coordinates. Find the equations of the straight line. |
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Answer» A straight line xa−yb=1 passes through the point (8, 6) and cuts off a triangle of area 12 units from the axes of coordinates. Find the equations of the straight line. |
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| 1471. |
A table clock has its minute's hand 4.5 cm long. Find the average velocity of the tip of the minute hand (a) between 12.00 a.m. to 12.30 a.m. (b)between 12.00 a.m. to 12.30 p.m. both have directions 12 mark to 6 mark on the clock panel. |
Answer» A table clock has its minute's hand 4.5 cm long. Find the average velocity of the tip of the minute hand(a) between 12.00 a.m. to 12.30 a.m. (b)between 12.00 a.m. to 12.30 p.m. both have directions 12 mark to 6 mark on the clock panel. |
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| 1472. |
The number of SE in T1 and T5 for the projects in the third month are respectively. |
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Answer» The number of SE in T1 and T5 for the projects in the third month are respectively. |
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| 1473. |
A school awarded 42 medals in hockey 18 in Basketball and 23 in cricket if these medals were bagged by total 65 students and only 4 students got medal in all the three sports how many students receive medals in exactly two of the three Sports. |
| Answer» A school awarded 42 medals in hockey 18 in Basketball and 23 in cricket if these medals were bagged by total 65 students and only 4 students got medal in all the three sports how many students receive medals in exactly two of the three Sports. | |
| 1474. |
These questions are based on the following chart. Q8. If the total exports of cars by Hyundai in the year 2004 was 1.3 times of that in the year 2002. If the number of Accent exported in the year 2004 were 52,000 then, how many Getz were exported in the year 2002? दिए गए बार चार्ट के आधार पर निम्नलिखित प्रश्नों के उत्तर दें। Q8. यदि वर्ष 2004 में हुंडई द्वारा कारों का कुल निर्यात वर्ष 2002 की तुलना मे 1.3 गुना थी तथा वर्ष 2004 में निर्यात की गई एसेंट कारों की संख्या 52,000 थी, तो वर्ष 2002 में कितनी गेटज़ कारें निर्यात की गई? |
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Answer» These questions are based on the following chart.
Q8. If the total exports of cars by Hyundai in the year 2004 was 1.3 times of that in the year 2002. If the number of Accent exported in the year 2004 were 52,000 then, how many Getz were exported in the year 2002? दिए गए बार चार्ट के आधार पर निम्नलिखित प्रश्नों के उत्तर दें।
Q8. यदि वर्ष 2004 में हुंडई द्वारा कारों का कुल निर्यात वर्ष 2002 की तुलना मे 1.3 गुना थी तथा वर्ष 2004 में निर्यात की गई एसेंट कारों की संख्या 52,000 थी, तो वर्ष 2002 में कितनी गेटज़ कारें निर्यात की गई? |
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| 1475. |
Vignesh joined a company where his first salary was Rs.19000 and then his salary was increased by 10% of his first salary in every month. What was his total earning in one year? |
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Answer» Vignesh joined a company where his first salary was Rs.19000 and then his salary was increased by 10% of his first salary in every month. What was his total earning in one year? |
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| 1476. |
Explain partial differentiation |
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Answer» Explain partial differentiation |
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| 1477. |
46. A positive integer n and has 60 divisiors and 7 n has 80 divisiors the greater integer K such that 7 to the power k divides m is equal to 1) 0 2) 1 3) 2 4) 3 |
| Answer» 46. A positive integer n and has 60 divisiors and 7 n has 80 divisiors the greater integer K such that 7 to the power k divides m is equal to 1) 0 2) 1 3) 2 4) 3 | |
| 1478. |
Q12. Consider the following statements about New Insolvency rules announced by RBI: 1. Banks will have to file for insolvency proceedings against loan defaulters with Rs 20 billion ($311 million) or more if a resolution plan is not implemented within 180 days of the initial occurrence of a default. 2. Any process involving restructuring or change in ownership for large accounts with loans of 5 billion rupees or more will need independent credit evaluation by credit rating agencies that are authorized by the RBI. Which of the following statements are correct? |
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Answer» Q12. Consider the following statements about New Insolvency rules announced by RBI: 1. Banks will have to file for insolvency proceedings against loan defaulters with Rs 20 billion ($311 million) or more if a resolution plan is not implemented within 180 days of the initial occurrence of a default. 2. Any process involving restructuring or change in ownership for large accounts with loans of 5 billion rupees or more will need independent credit evaluation by credit rating agencies that are authorized by the RBI. Which of the following statements are correct? |
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| 1479. |
Find the smallest 5-digit number which is exactly divisible by 20, 25, 30. |
| Answer» Find the smallest 5-digit number which is exactly divisible by 20, 25, 30. | |
| 1480. |
Explain factorial of a number. |
| Answer» Explain factorial of a number. | |
| 1481. |
The production of company AVC in 2000 is approximately what percent of its average prodcution over the given years? |
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Answer» The production of company AVC in 2000 is approximately what percent of its average prodcution over the given years? |
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| 1482. |
3sinx + 4cosx + r is always greater than or equal to 0. What is the smallest value ‘r’ can to take? |
| Answer» 3sinx + 4cosx + r is always greater than or equal to 0. What is the smallest value ‘r’ can to take? | |
| 1483. |
What is the remainder when 77+777+7777+77777.........+777777777 is divided by 8? |
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Answer» What is the remainder when 77+777+7777+77777.........+777777777 is divided by 8? |
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| 1484. |
If two-fifth of a number is 40 more than 20% of the same number. What is the number? |
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Answer» If two-fifth of a number is 40 more than 20% of the same number. What is the number? |
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| 1485. |
If α and β are the roots of the equation x2+bx+c=0, then the roots of the equation cx2+(b2−2c)x+c=0 are |
| Answer» If α and β are the roots of the equation x2+bx+c=0, then the roots of the equation cx2+(b2−2c)x+c=0 are | |
| 1486. |
Exactly one of them had been lying throughout, while the others spoke the truth. Who has been lying? |
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Answer» Exactly one of them had been lying throughout, while the others spoke the truth. Who has been lying? |
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| 1487. |
How to find a square root of 48 |
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Answer» How to find a square root of 48 |
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| 1488. |
8. The radii of two concentric circles are 13 cm and 8 cm. AB is the diameter of a bigger circle and BD is tangent to the smaller circle touching it at D and intersecting the larger circle at P ,on producing find the length of AP |
| Answer» 8. The radii of two concentric circles are 13 cm and 8 cm. AB is the diameter of a bigger circle and BD is tangent to the smaller circle touching it at D and intersecting the larger circle at P ,on producing find the length of AP | |
| 1489. |
How to determine quadratic equations have one root common or bothroots are common? |
| Answer» How to determine quadratic equations have one root common or bothroots are common? | |
| 1490. |
Average of ten positive numbers is x. If each of these numbers increases by 10%, then x: |
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Answer» Average of ten positive numbers is x. If each of these numbers increases by 10%, then x: |
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| 1491. |
Based on the information given above, the total number of bugs found by MnD Ltd. is equal to___ |
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Answer» Based on the information given above, the total number of bugs found by MnD Ltd. is equal to |
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| 1492. |
The number of candidates who got A+ grade in at least two out of the five tests is: |
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Answer» The number of candidates who got A+ grade in at least two out of the five tests is: |
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| 1493. |
The lab has now decided to require six scans in the passkey sequence, where exactly one finger is scanned twice, and the other fingers are scanned exactly once, which can be done in any order. For example, a possible sequence is TIMTRL. Suppose the lab allows a variation of the original sequence (of six inputs) where at most two scans (out of six) are out of place, as long as the finger originally scanned twice is scanned twice and other fingers are scanned once. How many different sequences of scans are allowed for any given person's original scan?___ |
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Answer» The lab has now decided to require six scans in the passkey sequence, where exactly one finger is scanned twice, and the other fingers are scanned exactly once, which can be done in any order. For example, a possible sequence is TIMTRL. Suppose the lab allows a variation of the original sequence (of six inputs) where at most two scans (out of six) are out of place, as long as the finger originally scanned twice is scanned twice and other fingers are scanned once. How many different sequences of scans are allowed for any given person's original scan? |
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| 1494. |
Write the following statements using the symbol of variation.(1) Circumference (c) of a circle is directly proportional to its radius (r).(2) Consumption of petrol (l) in a car and distance travelled by that car (d) are in direct variation. |
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Answer» Write the following statements using the symbol of variation. (1) Circumference (c) of a circle is directly proportional to its radius (r). (2) Consumption of petrol (l) in a car and distance travelled by that car (d) are in direct variation. |
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| 1495. |
Q13. Consider the following statements: 1. The Report “Migration and Development Brief” is published by International Labour Organisation (ILO). 2. India has retained top position as recipient of remittances in 2017. Which of the above statements are correct? |
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Answer» Q13. Consider the following statements: 1. The Report “Migration and Development Brief” is published by International Labour Organisation (ILO). 2. India has retained top position as recipient of remittances in 2017. Which of the above statements are correct? |
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| 1496. |
Q60. If Roys do not live on a higher floor than Sahnis, then how many different floors could Roys live on? |
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Answer» Q60. If Roys do not live on a higher floor than Sahnis, then how many different floors could Roys live on? |
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| 1497. |
Mr. D'souza purchased 200 shares of FV Rs 50 at a premium of Rs 100. He received 50% dividend on the shares. After receiving the dividend he sold 100 shares at a discount of Rs 10 and remaining shares were sold at a premium of ` 75. For each trade he paid the brokerage of Rs 20. Find whether Mr. D'souza gained or incurred a loss ? by how much ? |
| Answer» Mr. D'souza purchased 200 shares of FV Rs 50 at a premium of Rs 100. He received 50% dividend on the shares. After receiving the dividend he sold 100 shares at a discount of Rs 10 and remaining shares were sold at a premium of ` 75. For each trade he paid the brokerage of Rs 20. Find whether Mr. D'souza gained or incurred a loss ? by how much ? | |
| 1498. |
Avinash covered 150 km distance in 10 hours. The first part of his journey he covered by car, then he hired a rickshaw. The speed of car and rickshaw is 20 km/hr and 12 km/hr respectively. The ratio of distances covered by car and the rickshaw respectively are : |
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Answer» Avinash covered 150 km distance in 10 hours. The first part of his journey he covered by car, then he hired a rickshaw. |
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| 1499. |
The sum of first fifteen terms of an AP is 675 and the sum of next fifteen terms is 2025. Find the common difference of the AP. |
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Answer» The sum of first fifteen terms of an AP is 675 and the sum of next fifteen terms is 2025. Find the common difference of the AP. |
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| 1500. |
Let h(x)=e3x and g(x)=lnx, x>0. Find h(g(x)): |
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Answer» Let h(x)=e3x and g(x)=lnx, x>0. Find h(g(x)): |
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