This section includes 7 InterviewSolutions, each offering curated multiple-choice questions to sharpen your Current Affairs knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
Joey buys an article at a rebate of 30% on the printed price. He spends ₹ 40 on transportation of the article. After charging sales tax at the rate of 7% on the printed price, he sells the article for ₹ 856.Find his profit percentage. |
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Answer» Joey buys an article at a rebate of 30% on the printed price. He spends ₹ 40 on transportation of the article. After charging sales tax at the rate of 7% on the printed price, he sells the article for ₹ 856.Find his profit percentage. |
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| 2. |
Find the point on x-axis which is equidistant from (2,-4) and (-2,9). |
| Answer» Find the point on x-axis which is equidistant from (2,-4) and (-2,9). | |
| 3. |
Places P and Q are 100km apart on highway. One car starts from P and another from Q at the same time. If the cars travel in the same direction at different speeds, they meet in 5 hours. If they travel towards each other, they meet in 1 hour. What are the speeds of the two cars? |
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Answer» Places P and Q are 100km apart on highway. One car starts from P and another from Q at the same time. If the cars travel in the same direction at different speeds, they meet in 5 hours. If they travel towards each other, they meet in 1 hour. What are the speeds of the two cars? |
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| 4. |
Which of the trigonometric ratios are positive for 250o |
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Answer» Which of the trigonometric ratios are positive for 250o |
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| 5. |
If A =,[1/43/4ab] find a and b so that A2 = I (where I = Identity matrix) |
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Answer» If A =,[1/43/4ab] find a and b so that A2 = I (where I = Identity matrix) |
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| 6. |
A quadratic function attains its minimum value of 5 at x=1 and holds a value of 6 at x=0. Find the value of the function at x=5 |
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Answer» A quadratic function attains its minimum value of 5 at x=1 and holds a value of 6 at x=0. Find the value of the function at x=5 |
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| 7. |
If θ is an acute angle and, tanθ + cotθ = 2 then the value of tan7θ + cot7θ is |
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Answer» If θ is an acute angle and, tanθ + cotθ = 2 then the value of tan7θ + cot7θ is |
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| 8. |
Which of the following list of numbers forms an AP? (i) 4, 4 + √3 , 4 + 2√3, 4 + 3√3, 4 + 4√3 (ii) 0.3, 0.33, 0.333, 0.3333, 0.33333 (iii) 35, 65 , 95 , 125 , 3 (iv) -15 , -15 , -15 , -15 , -15 |
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Answer» Which of the following list of numbers forms an AP? |
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| 9. |
If A(-4, 8), B(-3, -4), C(0, -5) and D(5, 6) are the vertices of a quadrilateral ABCD, find its area. |
| Answer» If A(-4, 8), B(-3, -4), C(0, -5) and D(5, 6) are the vertices of a quadrilateral ABCD, find its area. | |
| 10. |
The area of a circular plot is 9856 sq. m. The cost of fencing the plot at the rate of Rs. 6 per meter will be |
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Answer» The area of a circular plot is 9856 sq. m. The cost of fencing the plot at the rate of Rs. 6 per meter will be |
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| 11. |
The probability of picking the letter T if you pick a random letter from the word TATKAL is. |
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Answer» The probability of picking the letter T if you pick a random letter from the word TATKAL is. |
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| 12. |
Question 20 If x + 2a is a factor of x5–4a2x3+2x+2a+3, then find the value of a. |
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Answer» Question 20 If x + 2a is a factor of x5–4a2x3+2x+2a+3, then find the value of a. |
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| 13. |
A cone, a hemisphere and a cylinder stand on equal bases and have the same height. What is the ratio of their volumes? |
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Answer» A cone, a hemisphere and a cylinder stand on equal bases and have the same height. What is the ratio of their volumes? |
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| 14. |
The -------- is the line drawn from the eye of an observer to the point in the object viewed by the observer |
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Answer» The -------- is the line drawn from the eye of an observer to the point in the object viewed by the observer |
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| 15. |
In the figure given below, if DE || BC, then x equals: |
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Answer» In the figure given below, if DE || BC, then x equals:
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| 16. |
If tan θ+sin θ=m and tan θ−sin θ=n, show that m2−n2=4√mn [4 MARKS] |
| Answer» If tan θ+sin θ=m and tan θ−sin θ=n, show that m2−n2=4√mn [4 MARKS] | |
| 17. |
The trigonometric ratio equivalent to the following is: sin55∘+cos20∘+cot70∘+cosec85∘ |
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Answer» The trigonometric ratio equivalent to the following is: sin55∘+cos20∘+cot70∘+cosec85∘ |
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| 18. |
The altitude of a right triangle is 7 cm less than its base. If the hypotenuse is 13 cm, find the other two sides (in cm). |
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Answer» The altitude of a right triangle is 7 cm less than its base. If the hypotenuse is 13 cm, find the other two sides (in cm). |
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| 19. |
If A and B are acute angle such that sin A=cos B then, find the value of (A+B). |
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Answer» If A and B are acute angle such that sin A=cos B then, find the value of (A+B). |
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| 20. |
Missing terms in the arithmetic sequence are 2, 6, 10, 14, ___, ___, ___, 30. |
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Answer» Missing terms in the arithmetic sequence are 2, 6, 10, 14, |
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| 21. |
Question 4 If 12 is a root of equation x2+kx−54=0, then the value of k is (A) 2 (B) – 2 (C) 1/4 (D) 1/2 |
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Answer» Question 4 If 12 is a root of equation x2+kx−54=0, then the value of k is (A) 2 (B) – 2 (C) 1/4 (D) 1/2 |
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| 22. |
Choose a polynomial having 5 & 12 as zeroes. |
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Answer» Choose a polynomial having 5 & 12 as zeroes. |
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| 23. |
In Fig, OACB is a quadrant of a circle with centre O and radius 3.5 cm. If OD = 2 cm, find the area of the shaded region. |
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Answer» In Fig, OACB is a quadrant of a circle with centre O and radius 3.5 cm. If OD = 2 cm, find the area of the shaded region.
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| 24. |
A frustum of height h=8 cm, r1=9 cm and r2=3 cm is part of a cone whose height is |
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Answer» A frustum of height h=8 cm, r1=9 cm and r2=3 cm is part of a cone whose height is |
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| 25. |
△ ABC, right angled at B, BC = 6 cm and ∠ABC = 30∘. Determine the length of the side AB and AC. |
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Answer» △ ABC, right angled at B, BC = 6 cm and ∠ABC = 30∘. Determine the length of the side AB and AC. |
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| 26. |
sec2 10o - cot2 80o = ? (a) 1 (b) 0 (c)32 (d) 12 |
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Answer» sec2 10o - cot2 80o = ? (a) 1 (b) 0 (c)32 (d) 12 |
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| 27. |
Find the ratio in which the y-axis divides the line segment joining the points (5, -6) and (-1, -4). Also, find the coordinates of the point of division. |
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Answer» Find the ratio in which the y-axis divides the line segment joining the points (5, -6) and (-1, -4). Also, find the coordinates of the point of division. |
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| 28. |
Solve the following systems of equations: 17x+16y=3 12x−13y=5 |
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Answer» Solve the following systems of equations: 17x+16y=3 12x−13y=5 |
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| 29. |
A Coke tin has height of 14 cm and radius 5 cm. What is the volume of Coca Cola present in it? (Take π= 227) |
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Answer» A Coke tin has height of 14 cm and radius 5 cm. What is the volume of Coca Cola present in it? (Take π= 227) |
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| 30. |
Let X and Y be two events such that P(X)=13,P(X|Y)=12 and P(Y|X)=25. Then ? |
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Answer» Let X and Y be two events such that P(X)=13,P(X|Y)=12 and P(Y|X)=25. Then ? |
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| 31. |
Question 84 Fill in the blanks to make the statements true. Diagonals of a rectangle are ___. |
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Answer» Question 84 Fill in the blanks to make the statements true. Diagonals of a rectangle are |
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| 32. |
Find the ratio AC/BC for the following construction method. A ray AX is extended from A and 13 arcs of equal lengths are cut, cutting the ray at A1, A2… A13. Another ray parallel to AX is extended from B and 2 arcs of equal lengths are cut, cutting the ray at B1 and B2. Line joining A13 and B2 cuts AB at C. |
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Answer» Find the ratio AC/BC for the following construction method. |
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| 33. |
Question 1 In the formula ¯x=a+∑fidi∑fi, for finding the mean of grouped data d′is are deviation from a of (a) lower limits of the classes (b) upper limits of the classes (c) mid-points of the classes (d) frequencies of the class marks |
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Answer» Question 1 In the formula ¯x=a+∑fidi∑fi, for finding the mean of grouped data d′is are deviation from a of (a) lower limits of the classes (b) upper limits of the classes (c) mid-points of the classes (d) frequencies of the class marks |
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| 34. |
In the figure, given below, ABCD is a parallelogram. P is a point on BC such that BP : PC = 1 : 2. DP produced meets AB produced at Q. Given the area of triangle CPQ = 20 cm2. Calculate : (i) area of triangle CDP, (ii) area of parallelogram ABCD. |
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Answer» In the figure, given below, ABCD is a parallelogram. P is a point on BC such that BP : PC = 1 : 2. DP produced meets AB produced at Q. Given the area of triangle CPQ = 20 cm2.
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| 35. |
In the given figure, ∠B=∠E,∠ACD=∠BCE,AB=10.4 cm and DE = 7.8 cm. Find the ratio of areas of the ΔABC and ΔDEC. |
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Answer» In the given figure, ∠B=∠E,∠ACD=∠BCE,AB=10.4 cm and DE = 7.8 cm. Find the ratio of areas of the ΔABC and ΔDEC.
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| 36. |
The product of 2 consecutive natural numbers is 72. Find the numbers. |
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Answer» The product of 2 consecutive natural numbers is 72. Find the numbers. |
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| 37. |
If the product of the zeroes of kx2−6x−9 is 4 find the value of k __ |
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Answer» If the product of the zeroes of kx2−6x−9 is 4 find the value of k |
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| 38. |
A Shpere and Hemisphere has radius 'r'. (TSA - total surface area; CSA - Curved surface area) |
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Answer» A Shpere and Hemisphere has radius 'r'. (TSA - total surface area; CSA - Curved surface area) |
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| 39. |
Find the values of x satisfying this equation 4x2=25 |
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Answer» Find the values of x satisfying this equation 4x2=25 |
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| 40. |
Question 61 In the following question, state whether the given statement is true (T) or false (F). The smallest 4-digit number is the successor of the largest 3-digit number. |
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Answer» Question 61 |
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| 41. |
Using Euclid's division, find the HCF of 56, 96 and 404 |
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Answer» Using Euclid's division, find the HCF of 56, 96 and 404 |
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| 42. |
Question 6 The 26th, 11th and the last terms of an AP are 0, 3 and −15, respectively. Find the common difference and the number of terms. |
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Answer» Question 6 The 26th, 11th and the last terms of an AP are 0, 3 and −15, respectively. Find the common difference and the number of terms. |
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| 43. |
Solve for x: log3(x3)+log1/9(x)<1 |
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Answer» Solve for x: log3(x3)+log1/9(x)<1 |
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| 44. |
1) 3x/2-5y/3+2=0 X/3+y/2=13/6 Solved it by elimination of substitution 2) X/6+y/15=4 X/3-y/12=19/4 Solved it by elimination of substitution |
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Answer» 1) 3x/2-5y/3+2=0 X/3+y/2=13/6 Solved it by elimination of substitution 2) X/6+y/15=4 X/3-y/12=19/4 Solved it by elimination of substitution |
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| 45. |
Find the value of θ, in the right triangle △ ABC. __ |
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Answer» Find the value of θ, in the right triangle △ ABC. |
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| 46. |
What is sample space |
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Answer» What is sample space |
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| 47. |
If p:7 is the ratio in which the line segment joining the points (-3, 10) and (6, - 8) is divided by (-1, 6), what is the value of p?2 |
Answer» If p:7 is the ratio in which the line segment joining the points (-3, 10) and (6, - 8) is divided by (-1, 6), what is the value of p?
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| 48. |
A man has a certain number of chickens and goats. Their head count is 30. If the total number of their legs is 84, what is the ratio between the number of chickens and goats? |
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Answer» A man has a certain number of chickens and goats. Their head count is 30. If the total number of their legs is 84, what is the ratio between the number of chickens and goats? |
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| 49. |
If 40% of a number is equal to two-third of another number, what is the ratio of the first number to the second number? |
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Answer» If 40% of a number is equal to two-third of another number, what is the ratio of the first number to the second number? |
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| 50. |
Using quadratic formula solve the following quadratic equation: [3 MARKS] 9x2−9(a+b)x+(2a2+5ab+2b2)=0 |
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Answer» Using quadratic formula solve the following quadratic equation: [3 MARKS] 9x2−9(a+b)x+(2a2+5ab+2b2)=0 |
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