5411 + Interview Questions in Quantitative Aptitude Page 31 InterviewSolution

1501.	A trader has three bundles of string 392 m, 308 m and 490 m long. What is the great est length of string that the bundles can be cut up into without any left over string?
Answer» A trader has three bundles of string 392 m, 308 m and 490 m long. What is the great est length of string that the bundles can be cut up into without any left over string?

Discussion

1502.	How many factors of 19! are there, whose unit digit is 5? ___
Answer» How many factors of 19! are there, whose unit digit is 5? ___

Discussion

1503.	If roots of the equation (a−b)x2+(b−c)x+(c−a)=0 are equal, prove that 2a=b+c.
Answer» If roots of the equation $(a - b) x^{2} + (b - c) x + (c - a) = 0$ are equal, prove that $2 a = b + c$ .

Discussion

1504.	The following is the Wholesale Price Index (WPI) of a select list of items with the base year of 1993-94. In other words, all the item prices are made 100 in that year (1993-94). Price in all other year for an item are measured with respect to its price in the base year. For instance, the price of cement went up by 1% in 1994-95 as compared to 1993-94. Similarly, the price of power went up by 3% in 1996-97 as compared to 1993-94. Which item experience continuous price rise during the ten-year period?
Answer» The following is the Wholesale Price Index (WPI) of a select list of items with the base year of 1993-94. In other words, all the item prices are made 100 in that year (1993-94). Price in all other year for an item are measured with respect to its price in the base year. For instance, the price of cement went up by $1 %$ in 1994-95 as compared to 1993-94. Similarly, the price of power went up by $3 %$ in 1996-97 as compared to 1993-94. Which item experience continuous price rise during the ten-year period?

Discussion

1505.	Question 7 (ii)In which of the following situations, do the lists of numbers involved form an AP? Give reasons for your answers. The fee charged every month by a school from classes I to XII, when the monthly fee for class I is ₹ 250 and it increases by ₹ 50 for the next higher class.
Answer» Question 7 (ii) In which of the following situations, do the lists of numbers involved form an AP? Give reasons for your answers. The fee charged every month by a school from classes I to XII, when the monthly fee for class I is ₹ 250 and it increases by ₹ 50 for the next higher class.

Discussion

1506.	In a committee, 50 people speak French, 20 speak Spanish and 10 speak both Spanish and French. The number of persons speaking at least one of these two languages is _____.
Answer» In a committee, 50 people speak French, 20 speak Spanish and 10 speak both Spanish and French. The number of persons speaking at least one of these two languages is _____.

Discussion

1507.	There are 107 three-digit numbers between 250 and 1000 that are divisible by a natural number m. The 50th term and the last term of the AP formed by these three-digit numbers are 595 and 994 respectively. What is the value of m? m=?
Answer» There are 107 three-digit numbers between 250 and 1000 that are divisible by a natural number m. The 50th term and the last term of the AP formed by these three-digit numbers are 595 and 994 respectively. What is the value of m? m=?

Discussion

1508.	Find the highest power of 25 in 100!___
Answer» Find the highest power of 25 in 100!___

Discussion

1509.	How many four digit numbers are divisible by 5,12 and 18?
Answer» How many four digit numbers are divisible by 5,12 and 18?

Discussion

1510.	f(x)= sin¯¹ [2x] + cos¯¹ ([x] - 1). Domain of function = [a, b) & range of function = {c, d} then a+b+2d/c=?
Answer» f(x)= sin¯¹ [2x] + cos¯¹ ([x] - 1). Domain of function = [a, b) & range of function = {c, d} then a+b+2d/c=?

Discussion

1511.	Find the value of x and y if: (x+y,x−y)=(12,2).
Answer» Find the value of $x$ and $y$ if: $(x + y, x - y) = (12, 2)$ .

Discussion

1512.	Out of 40 persons in a class, 10 play football, 15 play cricket, 5 play both football and cricket. How many of them plays neither football nor cricket?undefinedundefinedundefinedundefined
Answer» Out of 40 persons in a class, 10 play football, 15 play cricket, 5 play both football and cricket. How many of them plays neither football nor cricket? undefined undefined undefined undefined

Discussion

1513.	What is Y's house number?
Answer» What is Y's house number?

Discussion

1514.	If the lines 2x+y−3=0,(5x+ky-3=0\)and 3x−y−2=0are concurrent,find the value of k
Answer» If the lines $2 x + y - 3 = 0$ , (5x+ky-3=0\) and $3 x - y - 2 = 0$ are concurrent, find the value of $k$

Discussion

1515.	At what time between 5:30 and 6:00 will the hands of a clock be at right angle?A. 54511 minutes past 5B. 43711 minutes past 5C. 63 minutes past 5D. 41 minutes past 5
Answer» At what time between $5 : 30$ and $6 : 00$ will the hands of a clock be at right angle? A. $54 \frac{5}{11}$ minutes past $5$ B. $43 \frac{7}{11}$ minutes past $5$ C. $63$ minutes past $5$ D. $41$ minutes past $5$

1515.

At what time between 5:30 and 6:00 will the hands of a clock be at right angle?A. 54511 minutes past 5B. 43711 minutes past 5C. 63 minutes past 5D. 41 minutes past 5

Answer»

At what time between $5 : 30$ and $6 : 00$ will the hands of a clock be at right angle?

A. $54 \frac{5}{11}$ minutes past $5$

B. $43 \frac{7}{11}$ minutes past $5$

C. $63$ minutes past $5$

D. $41$ minutes past $5$

Discussion

1516.	What is the position of `war' in Step VII?
Answer» What is the position of `war' in Step VII?

Discussion

1517.	ΔABC has a circle centred on vertex C that passes through points A and E. If ∠ABC ≈ ∠DEC, AC = 1 and CD = x, what is the distance between E and B?
Answer» $Δ$ ABC has a circle centred on vertex C that passes through points A and E. If $∠$ ABC $\approx$ $∠$ DEC, AC = 1 and CD = x, what is the distance between E and B?

Discussion

1518.	Write a function to return the second largest number from a list of numbers.
Answer» Write a function to return the second largest number from a list of numbers.

Discussion

1519.	Bank balance of Rs. 40,000 showed by the cash book of Atul on December 31, 2010. It was found that three cheques of Rs. 2,000, Rs. 5,000 and Rs. 8,000 deposited during the month of December were not credited in the passbook till January 2, 2010. Two cheques of Rs. 7,000 and Rs. 8,000 issued on December 28, were not presented for payment till January 3, 2010. In addition to it, the bank had credited Atul for Rs. 325 as interest and had debited him with Rs. 50 as bank charges for which there were no corresponding entries in the cash book. Prepare a bank reconciliation statement as on December 31, 2010.
Answer» Bank balance of Rs. 40,000 showed by the cash book of Atul on December 31, 2010. It was found that three cheques of Rs. 2,000, Rs. 5,000 and Rs. 8,000 deposited during the month of December were not credited in the passbook till January 2, 2010. Two cheques of Rs. 7,000 and Rs. 8,000 issued on December 28, were not presented for payment till January 3, 2010. In addition to it, the bank had credited Atul for Rs. 325 as interest and had debited him with Rs. 50 as bank charges for which there were no corresponding entries in the cash book. Prepare a bank reconciliation statement as on December 31, 2010.

1519.

Bank balance of Rs. 40,000 showed by the cash book of Atul on December 31, 2010. It was found that three cheques of Rs. 2,000, Rs. 5,000 and Rs. 8,000 deposited during the month of December were not credited in the passbook till January 2, 2010. Two cheques of Rs. 7,000 and Rs. 8,000 issued on December 28, were not presented for payment till January 3, 2010. In addition to it, the bank had credited Atul for Rs. 325 as interest and had debited him with Rs. 50 as bank charges for which there were no corresponding entries in the cash book. Prepare a bank reconciliation statement as on December 31, 2010.

Answer»

Bank balance of Rs. 40,000 showed by the cash book of Atul on December 31, 2010. It was found that three cheques of Rs. 2,000, Rs. 5,000 and Rs. 8,000 deposited during the month of December were not credited in the passbook till January 2, 2010. Two cheques of Rs. 7,000 and Rs. 8,000 issued on December 28, were not presented for payment till January 3, 2010. In addition to it, the bank had credited Atul for Rs. 325 as interest and had debited him with Rs. 50 as bank charges for which there were no corresponding entries in the cash book.

Prepare a bank reconciliation statement as on December 31, 2010.

Discussion

1520.	Q5. Consider the following statements: 1. According to RBI norms, if the principal or interest is overdue for one day to 30 days, the account is identified as Special Mention Account – 0 (SMA-0) category. 2. If a loan is not repaid for more than 60 days, it is classified as non-performing asset (NPA). Which of the above statements are correct?
Answer» Q5. Consider the following statements: 1. According to RBI norms, if the principal or interest is overdue for one day to 30 days, the account is identified as Special Mention Account – 0 (SMA-0) category. 2. If a loan is not repaid for more than 60 days, it is classified as non-performing asset (NPA). Which of the above statements are correct?

1520.

Q5. Consider the following statements: 1. According to RBI norms, if the principal or interest is overdue for one day to 30 days, the account is identified as Special Mention Account – 0 (SMA-0) category. 2. If a loan is not repaid for more than 60 days, it is classified as non-performing asset (NPA). Which of the above statements are correct?

Answer»

Q5. Consider the following statements:

1. According to RBI norms, if the principal or interest is overdue for one day to 30 days, the account is identified as Special Mention Account – 0 (SMA-0) category.

2. If a loan is not repaid for more than 60 days, it is classified as non-performing asset (NPA).

Which of the above statements are correct?

Discussion

1521.	In a ΔABC, ∠B = 900 and the longest side is 5 cm more than the middle side and the middle side is 5 cm more than the shortest one. Find the shortest side.
Answer» In a $Δ$ ABC, $∠$ B = 90 $^{0}$ and the longest side is 5 cm more than the middle side and the middle side is 5 cm more than the shortest one. Find the shortest side.

Discussion

1522.	if in a triangle the sum of any two sides exceeds the third side by 8 cm, then its area will be
Answer» if in a triangle the sum of any two sides exceeds the third side by 8 cm, then its area will be

Discussion

1523.	The vectors from origin O to the points A and B are a→=2i^-3j^+2k^ and b→=2i^+3j^+k^ respectively, then area of triangle OAB is(a) 340 (b) 25 (c) 229 (d) 12229
Answer» The vectors from origin O to the points A and B are $\vec{a} = 2 \hat{i} - 3 \hat{j} + 2 \hat{k} and \vec{b} = 2 \hat{i} + 3 \hat{j} + \hat{k}$ respectively, then area of triangle OAB is (a) 340 $(b) \sqrt{25} (c) \sqrt{229} (d) \frac{1}{2} \sqrt{229}$

Discussion

1524.	A number 34A is exactly divisible by 2 and leaves a remainder 1, when divided by 5, find A.
Answer» A number 34A is exactly divisible by 2 and leaves a remainder 1, when divided by 5, find A.

Discussion

1525.	20. Find the least number which when divided by 20,25,35,and 40 leaves remainders 14,19,29 and 34 respectively
Answer» 20. Find the least number which when divided by 20,25,35,and 40 leaves remainders 14,19,29 and 34 respectively

Discussion

1526.	x-0/1=y+1/2=z-1/-1and x+1/k=y-3/-2=z-2/1 are at right angle value if k i
Answer» x-0/1=y+1/2=z-1/-1and x+1/k=y-3/-2=z-2/1 are at right angle value if k i

Discussion

1527.	In a bolt factory, machines A,B and C manufacture respectively 25%,35% and 40% of the total balls . Of their output 5, 4 and 2 percent are respectively defective bolts. A bolt is drawn at random from the product. If the bolt drawn is found to be defective, what is the probability that it is manufactured by the machine B.
Answer» In a bolt factory, machines A,B and C manufacture respectively 25%,35% and 40% of the total balls . Of their output 5, 4 and 2 percent are respectively defective bolts. A bolt is drawn at random from the product. If the bolt drawn is found to be defective, what is the probability that it is manufactured by the machine B.

Discussion

1528.	What was the sum of the numbers of years spent by Mayank in U.P., Kishore in Maharashtra, Lokesh in U.P. and Neelam in M.P.?
Answer» What was the sum of the numbers of years spent by Mayank in U.P., Kishore in Maharashtra, Lokesh in U.P. and Neelam in M.P.?

Discussion

1529.	What will be the unit digit of the square of 121223?
Answer» What will be the unit digit of the square of 121223?

Discussion

1530.	The total number of soldiers who retired from the BSF in the years 2005 and 2006 together is approximately what percent of the total number of soldiers who retired from the Navy over all the years together?
Answer» The total number of soldiers who retired from the BSF in the years 2005 and 2006 together is approximately what percent of the total number of soldiers who retired from the Navy over all the years together?

Discussion

1531.	What is the difference between average demand and average production of the five companies taken together ?
Answer» What is the difference between average demand and average production of the five companies taken together ?

Discussion

1532.	If college T won a gold in Running and a silver in Cycling, who won a bronze in Horse Riding?
Answer» If college T won a gold in Running and a silver in Cycling, who won a bronze in Horse Riding?

Discussion

1533.	In 3 hours A can walk as much as B can walk in one hour. In Five hours A walks 1 Kilometre less then B walks in two hours. What will be the difference in terms of distance if both A and B walk for 15 hours each in the some direction starting from the same Point?
Answer» In 3 hours A can walk as much as B can walk in one hour. In Five hours A walks 1 Kilometre less then B walks in two hours. What will be the difference in terms of distance if both A and B walk for 15 hours each in the some direction starting from the same Point?

Discussion

1534.	24 men can complete a piece of work in 15 days. 2 days after the 24 men started working, 4 men left the work. How many more days will the remaining men now take to complete the remaining work?
Answer» 24 men can complete a piece of work in 15 days. 2 days after the 24 men started working, 4 men left the work. How many more days will the remaining men now take to complete the remaining work?

Discussion

1535.	In the given figure, O is the centre of the circle and B is a point of contact. seg OE ⊥ seg AD, AB = 12, AC = 8, find(1) AD (2) DC (3) DE.
Answer» In the given figure, O is the centre of the circle and B is a point of contact. seg OE ⊥ seg AD, AB = 12, AC = 8, find (1) AD (2) DC (3) DE.

Discussion

1536.	Mark the correct alternative in the following question:23 of a number is less than the original number by 20. The number is(a) 30 (b) 40 (c) 50 (d) 60
Answer» Mark the correct alternative in the following question: $\frac{2}{3}$ of a number is less than the original number by 20. The number is (a) 30 (b) 40 (c) 50 (d) 60

Discussion

1537.	P and Q are respectively the mid points of sides AB and BC of a triangle ABC and R is the midpoint of AP, show that 1) ar(PRQ)=12ar(ARC) 2) ar(RQC)=38ar(,ABC) 3) ar(PBQ)=ar(ARC)
Answer» P and Q are respectively the mid points of sides AB and BC of a triangle ABC and R is the midpoint of AP, show that 1) $a r (P R Q) = \frac{1}{2} a r (A R C)$ 2) $a r (R Q C) = \frac{3}{8} a r (, A B C)$ 3) $a r (P B Q) = a r (A R C)$

Discussion

1538.	In Fig 2, a circle with centre O is inscribed in a quadrilateral ABCD such that, it touches the sides BC, AB, AD and CD at points P, Q, R and S respectively. If AB=29 cm, AD=23 cm, ∠ 90∘ and DS= 5 cm, then the radius of the circle (in cm.) is:
Answer» In Fig 2, a circle with centre O is inscribed in a quadrilateral ABCD such that, it touches the sides BC, AB, AD and CD at points P, Q, R and S respectively. If AB=29 cm, AD=23 cm, $∠ 90^{\circ}$ and DS= 5 cm, then the radius of the circle (in cm.) is:

Discussion

1539.	If the determinant x+ap+ul+fy+bq+vm+gz+cr+wn+h splits into exactly k determinants of order 3, each element of which contains only one term, then k = __________.
Answer» If the determinant $\|\begin{matrix} x + a & p + u & l + f \\ y + b & q + v & m + g \\ z + c & r + w & n + h \end{matrix}\|$ splits into exactly k determinants of order 3, each element of which contains only one term, then k = __________.

Discussion

1540.	If 8% of a number is 6, then the number is(a) 96(b) 60(c) 96(d) 75
Answer» If 8% of a number is 6, then the number is (a) 96 (b) 60 (c) 96 (d) 75

Discussion

1541.	What is ratio of total population of city D and city E?
Answer» What is ratio of total population of city D and city E?

Discussion

1542.	Let P, Q, R be three points on a Parabola, normals at which are concurrent. The centroid of the triangle Park must lie on 1. A LINE PARALLEL TO DIRECT RIG. 2.THE AXIS OF THE PARABOLA. 3.A LINE OF SLOPE 1 PASSING THROUGH THE VERTEX.
Answer» Let P, Q, R be three points on a Parabola, normals at which are concurrent. The centroid of the triangle Park must lie on 1. A LINE PARALLEL TO DIRECT RIG. 2.THE AXIS OF THE PARABOLA. 3.A LINE OF SLOPE 1 PASSING THROUGH THE VERTEX.

Discussion

1543.	Cost price of two motorbikes is same. One is soldat a profit 20% and the other for `5200 more thanthe first. If the net profit is 25%, then the cost priceof each motorbike is(1) `48000 (2) `50000(3) `52000 (4) `60000
Answer» Cost price of two motorbikes is same. One is sold at a profit 20% and the other for `5200 more than the first. If the net profit is 25%, then the cost price of each motorbike is (1) `48000 (2) `50000 (3) `52000 (4) `60000

Discussion

1544.	Q54. A trader bought Q chairs at Rs 150 per chair and W tables at Rs 300 per table. What is the total price of the chairs and the tables? (1) Q chairs cost Rs 600. (2) Q + 2W = 12.
Answer» Q54. A trader bought Q chairs at Rs 150 per chair and W tables at Rs 300 per table. What is the total price of the chairs and the tables? (1) Q chairs cost Rs 600. (2) Q + 2W = 12.

1544.

Q54. A trader bought Q chairs at Rs 150 per chair and W tables at Rs 300 per table. What is the total price of the chairs and the tables? (1) Q chairs cost Rs 600. (2) Q + 2W = 12.

Answer»

Q54. A trader bought Q chairs at Rs 150 per chair and W tables at Rs 300 per table. What is the total price of the chairs and the tables?

(1) Q chairs cost Rs 600.

(2) Q + 2W = 12.

Discussion

1545.	Mr. Rishab Bajaj, an entrepreneur in New York City, places a bet with some friends that he can travel around the world in 8 days by spending not more than $8000. His friends give him a list of 10 cities which he should pass through on this journey around the world. The fares and times by different modes of transport from each city to the next are given in the table below. Assume that Mr. Bajaj will spend 3 hours in every city if he has to change the mode of transport and 2 hours if he has to continue with the same mode of transport. Mr. Bajaj realizes that he will also have to spend on food and other expenses throughout the journey. Therefore, he will have only $7500 to pay for the travel fares. What is the minimum total time in which Bajaj can complete his journey within the given budget?
Answer» Mr. Rishab Bajaj, an entrepreneur in New York City, places a bet with some friends that he can travel around the world in 8 days by spending not more than $$$ 8000. His friends give him a list of 10 cities which he should pass through on this journey around the world. The fares and times by different modes of transport from each city to the next are given in the table below. Assume that Mr. Bajaj will spend 3 hours in every city if he has to change the mode of transport and 2 hours if he has to continue with the same mode of transport. Mr. Bajaj realizes that he will also have to spend on food and other expenses throughout the journey. Therefore, he will have only $$$ 7500 to pay for the travel fares. What is the minimum total time in which Bajaj can complete his journey within the given budget?

Discussion

1546.	A rectangular sheet of paper is folded so that two diagonally opposite corners come together. If the crease formed is the same length as the longer side of the sheet, what is the ratio of the longer side of the sheet to the shorter side?
Answer» A rectangular sheet of paper is folded so that two diagonally opposite corners come together. If the crease formed is the same length as the longer side of the sheet, what is the ratio of the longer side of the sheet to the shorter side?

Discussion

1547.	Ritu brought a saree for Rs 60x and sold it for Rs (500+4x) at a loss of x percent.Find the cost price.
Answer» Ritu brought a saree for Rs 60x and sold it for Rs (500+4x) at a loss of x percent.Find the cost price.

Discussion

1548.	In a game of cricket, the score of team with respect to wickets follows Arithmetic progression. First wicket falls on score 35, second falls on 62, third on 89 ___. What would be the final score of team.
Answer» In a game of cricket, the score of team with respect to wickets follows Arithmetic progression. First wicket falls on score 35, second falls on 62, third on 89 ___. What would be the final score of team.

Discussion

1549.	An aeroplane is running downwards making 45 angle with the plane with reterdation 2m/s 2. What will be the time period of a simple pendulam in the aeroplane?
Answer» An aeroplane is running downwards making 45 angle with the plane with reterdation 2m/s 2. What will be the time period of a simple pendulam in the aeroplane?

Discussion

1550.	There are 10 persons named P1, P2, P3, ...., P10. Out of 10 persons, 5 persons are to be arranged in a line such that in each arrangement P1 must occur whereas P4 and P5 do not occur. Find the number of such possible arrangements.
Answer» There are 10 persons named $P_{1}, P_{2}, P_{3}, . . . ., P_{10}$ . Out of 10 persons, 5 persons are to be arranged in a line such that in each arrangement P₁ must occur whereas P₄ and P₅ do not occur. Find the number of such possible arrangements.

Discussion

Explore topic-wise InterviewSolutions in .

A trader has three bundles of string 392 m, 308 m and 490 m long. What is the great est length of string that the bundles can be cut up into without any left over string?

How many factors of 19! are there, whose unit digit is 5? ___

If roots of the equation (a−b)x2+(b−c)x+(c−a)=0 are equal, prove that 2a=b+c.

Question 7 (ii)In which of the following situations, do the lists of numbers involved form an AP? Give reasons for your answers. The fee charged every month by a school from classes I to XII, when the monthly fee for class I is ₹ 250 and it increases by ₹ 50 for the next higher class.

In a committee, 50 people speak French, 20 speak Spanish and 10 speak both Spanish and French. The number of persons speaking at least one of these two languages is _____.

There are 107 three-digit numbers between 250 and 1000 that are divisible by a natural number m. The 50th term and the last term of the AP formed by these three-digit numbers are 595 and 994 respectively. What is the value of m? m=?

Find the highest power of 25 in 100!___

How many four digit numbers are divisible by 5,12 and 18?

f(x)= sin¯¹ [2x] + cos¯¹ ([x] - 1). Domain of function = [a, b) & range of function = {c, d} then a+b+2d/c=?

Find the value of x and y if: (x+y,x−y)=(12,2).

Out of 40 persons in a class, 10 play football, 15 play cricket, 5 play both football and cricket. How many of them plays neither football nor cricket?undefinedundefinedundefinedundefined

What is Y's house number?

If the lines 2x+y−3=0,(5x+ky-3=0\)and 3x−y−2=0are concurrent,find the value of k

At what time between 5:30 and 6:00 will the hands of a clock be at right angle?A. 54511 minutes past 5B. 43711 minutes past 5C. 63 minutes past 5D. 41 minutes past 5

What is the position of `war' in Step VII?

ΔABC has a circle centred on vertex C that passes through points A and E. If ∠ABC ≈ ∠DEC, AC = 1 and CD = x, what is the distance between E and B?

Write a function to return the second largest number from a list of numbers.

In a ΔABC, ∠B = 900 and the longest side is 5 cm more than the middle side and the middle side is 5 cm more than the shortest one. Find the shortest side.

if in a triangle the sum of any two sides exceeds the third side by 8 cm, then its area will be

The vectors from origin O to the points A and B are a→=2i^-3j^+2k^ and b→=2i^+3j^+k^ respectively, then area of triangle OAB is(a) 340 (b) 25 (c) 229 (d) 12229

A number 34A is exactly divisible by 2 and leaves a remainder 1, when divided by 5, find A.

20. Find the least number which when divided by 20,25,35,and 40 leaves remainders 14,19,29 and 34 respectively

x-0/1=y+1/2=z-1/-1and x+1/k=y-3/-2=z-2/1 are at right angle value if k i

What was the sum of the numbers of years spent by Mayank in U.P., Kishore in Maharashtra, Lokesh in U.P. and Neelam in M.P.?

What will be the unit digit of the square of 121223?

The total number of soldiers who retired from the BSF in the years 2005 and 2006 together is approximately what percent of the total number of soldiers who retired from the Navy over all the years together?

What is the difference between average demand and average production of the five companies taken together ?

If college T won a gold in Running and a silver in Cycling, who won a bronze in Horse Riding?

In 3 hours A can walk as much as B can walk in one hour. In Five hours A walks 1 Kilometre less then B walks in two hours. What will be the difference in terms of distance if both A and B walk for 15 hours each in the some direction starting from the same Point?

24 men can complete a piece of work in 15 days. 2 days after the 24 men started working, 4 men left the work. How many more days will the remaining men now take to complete the remaining work?

In the given figure, O is the centre of the circle and B is a point of contact. seg OE ⊥ seg AD, AB = 12, AC = 8, find(1) AD (2) DC (3) DE.

Mark the correct alternative in the following question:23 of a number is less than the original number by 20. The number is(a) 30 (b) 40 (c) 50 (d) 60

P and Q are respectively the mid points of sides AB and BC of a triangle ABC and R is the midpoint of AP, show that 1) ar(PRQ)=12ar(ARC) 2) ar(RQC)=38ar(,ABC) 3) ar(PBQ)=ar(ARC)

In Fig 2, a circle with centre O is inscribed in a quadrilateral ABCD such that, it touches the sides BC, AB, AD and CD at points P, Q, R and S respectively. If AB=29 cm, AD=23 cm, ∠ 90∘ and DS= 5 cm, then the radius of the circle (in cm.) is:

If the determinant x+ap+ul+fy+bq+vm+gz+cr+wn+h splits into exactly k determinants of order 3, each element of which contains only one term, then k = __________.

If 8% of a number is 6, then the number is(a) 96(b) 60(c) 96(d) 75

What is ratio of total population of city D and city E?

Let P, Q, R be three points on a Parabola, normals at which are concurrent. The centroid of the triangle Park must lie on 1. A LINE PARALLEL TO DIRECT RIG. 2.THE AXIS OF THE PARABOLA. 3.A LINE OF SLOPE 1 PASSING THROUGH THE VERTEX.

Cost price of two motorbikes is same. One is soldat a profit 20% and the other for `5200 more thanthe first. If the net profit is 25%, then the cost priceof each motorbike is(1) `48000 (2) `50000(3) `52000 (4) `60000

Q54. A trader bought Q chairs at Rs 150 per chair and W tables at Rs 300 per table. What is the total price of the chairs and the tables? (1) Q chairs cost Rs 600. (2) Q + 2W = 12.

A rectangular sheet of paper is folded so that two diagonally opposite corners come together. If the crease formed is the same length as the longer side of the sheet, what is the ratio of the longer side of the sheet to the shorter side?

Ritu brought a saree for Rs 60x and sold it for Rs (500+4x) at a loss of x percent.Find the cost price.

In a game of cricket, the score of team with respect to wickets follows Arithmetic progression. First wicket falls on score 35, second falls on 62, third on 89 ___. What would be the final score of team.

An aeroplane is running downwards making 45 angle with the plane with reterdation 2m/s 2. What will be the time period of a simple pendulam in the aeroplane?

There are 10 persons named P1, P2, P3, ...., P10. Out of 10 persons, 5 persons are to be arranged in a line such that in each arrangement P1 must occur whereas P4 and P5 do not occur. Find the number of such possible arrangements.