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4351.

A field is in the shape of trapezium whose parallell side are 10cm and 25cm respectively and non parellel sides are 13cm and 14cm, find its area?

Answer» A field is in the shape of trapezium whose parallell side are 10cm and 25cm respectively and non parellel sides are 13cm and 14cm, find its area?
4352.

Radhey, who keeps his books on Single Entry System, gives you the following information: Particulars1.1.201131.12.2011(Rs)(Rs)Assets:Stock-in-Trade18,70023,400Sundry Debtors12,00014,000Bills receivalbe4,0005,000Furniture600600Building12,00012,000Bank Balance4,350−Liabilities:Sudry Creditors9,0001,500Payable1,000200Bank Overdraft−3,350 You are required to calculate Profit by preparing statement of profit or Loss.

Answer»

Radhey, who keeps his books on Single Entry System, gives you the following information:

Particulars1.1.201131.12.2011(Rs)(Rs)Assets:Stock-in-Trade18,70023,400Sundry Debtors12,00014,000Bills receivalbe4,0005,000Furniture600600Building12,00012,000Bank Balance4,350Liabilities:Sudry Creditors9,0001,500Payable1,000200Bank Overdraft3,350

You are required to calculate Profit by preparing statement of profit or Loss.

4353.

Let C be a circle with centre P0 and AB be a diameter of C. Suppose P1 is the mid point of the line segment P0B,P2 is the mid-point of the line segment P1B and so on. Let C1,C2,C3,… be circles with diameters P0P1,P1P2,P2P3… respectively. Suppose the circles C1,C2,C3… are all shaded. The ratio of the area of the unshaded portion of C to that of the original circle C is :

Answer»

Let C be a circle with centre P0 and AB be a diameter of C. Suppose P1 is the mid point of the line segment P0B,P2 is the mid-point of the line segment P1B and so on. Let C1,C2,C3,… be circles with diameters P0P1,P1P2,P2P3… respectively. Suppose the circles C1,C2,C3… are all shaded. The ratio of the area of the unshaded portion of C to that of the original circle C is :

4354.

A boat running upstream takes 8 hours 48 minutes to cover a certain distance, while it takes 4 hours to cover the same distance running downstream. What is the ratio between the speed of the boat and speed of the water current respectively?

Answer» A boat running upstream takes 8 hours 48 minutes to cover a certain distance, while it takes 4 hours to cover the same distance running downstream. What is the ratio between the speed of the boat and speed of the water current respectively?
4355.

In the given figure XY || PQ, find the value of x:

Answer»

In the given figure XY || PQ, find the value of x:

4356.

Manish sold a tricycle at 8% gain. Had it been sold for 75rupees more, the gain would have been 14%. Find the cost price of the tricycle.

Answer» Manish sold a tricycle at 8% gain. Had it been sold for 75rupees more, the gain would have been 14%. Find the cost price of the tricycle.
4357.

An architecture company built 200 bridges 400 hospitals and 600 hotels. The probability of damage due to earthquake of a bridge. hospital and hotel is 0.01, 0.03 and 0.15 respectively. One of the construction gets damaged with earthquake. What is the probability that is a bridge?

Answer»

An architecture company built 200 bridges 400 hospitals and 600 hotels. The probability of damage due to earthquake of a bridge. hospital and hotel is 0.01, 0.03 and 0.15 respectively. One of the construction gets damaged with earthquake. What is the probability that is a bridge?

4358.

The interest charged on a certain sum is Rs.720 for one year and Rs. 1,497.60 for two years. Find whether the interest is simple or compound. Also calculate the rate% and the sum.

Answer» The interest charged on a certain sum is Rs.720 for one year and Rs. 1,497.60 for two years. Find whether the interest is simple or compound. Also calculate the rate% and the sum.
4359.

The sum of three consecutive terms in increasing order of a G.P. is 56. Subtracting 1, 7 and 21 respectively from them, an A.P. is formed. Find those numbers.

Answer» The sum of three consecutive terms in increasing order of a G.P. is 56. Subtracting 1, 7 and 21 respectively from them, an A.P. is formed. Find those numbers.
4360.

The average expenditure of a man for the first five months of a year is Rs 5,000 and for the next seven months it is Rs 5,400. He saves Rs 2,300 during the year. His average monthly income is:

Answer»

The average expenditure of a man for the first five months of a year is Rs 5,000 and for the next seven months it is Rs 5,400. He saves Rs 2,300 during the year. His average monthly income is:

4361.

The salaries of A, B, and C are in the ratio of 1 : 2 : 3. The salary of B and C together is Rs. 6000. By what percent is the salary of C more than that of A?

Answer»

The salaries of A, B, and C are in the ratio of 1 : 2 : 3. The salary of B and C together is Rs. 6000. By what percent is the salary of C more than that of A?


4362.

A, B and C jointly thought of engaging themselves in a business venture. It was agreed that A would invest Rs. 6500 for 6 months, B Rs. 8400 for 5 months and C, Rs. 10,000 for 3 months. A wants to be the working member for which, he was to receive 5% of the profits. The profit earned was Rs. 7400. Calculate the share of B in the profit.

Answer»

A, B and C jointly thought of engaging themselves in a business venture. It was agreed that A would invest Rs. 6500 for 6 months, B Rs. 8400 for 5 months and C, Rs. 10,000 for 3 months. A wants to be the working member for which, he was to receive 5% of the profits. The profit earned was Rs. 7400. Calculate the share of B in the profit.


4363.

The shaded portion of figure shows the graph of which of the following?

Answer»

The shaded portion of figure shows the graph of which of the following?

4364.

A man , a woman and a child are doing a piece of work. A man can do it in 5 days, a woman can do it alone in 10 days and the child will take 20 days to complete it. During the first day the man is not feeling well and does not work properly, and from the next day onward he does not come for work. If the child got paid Rs.5100 out of a total of 18,000 for its share of work, find the efficiency of the man on the first day.

Answer»

A man , a woman and a child are doing a piece of work. A man can do it in 5 days, a woman can do it alone in 10 days and the child will take 20 days to complete it. During the first day the man is not feeling well and does not work properly, and from the next day onward he does not come for work. If the child got paid Rs.5100 out of a total of 18,000 for its share of work, find the efficiency of the man on the first day.


4365.

A number when successively divided by 2, 3, 5 it leaves the respective remainders 1, 2 and 3. What will be the remainder if this number will be divided by 7?___ (type '0' if it is cannot be determined)

Answer» A number when successively divided by 2, 3, 5 it leaves the respective remainders 1, 2 and 3. What will be the remainder if this number will be divided by 7?___ (type '0' if it is cannot be determined)
4366.

The area of circle C is 9 π. The area of square PQ RS is -

Answer»

The area of circle C is 9 π. The area of square PQ RS is -


4367.

If n is a positive integer greater than 1, then PRO(n) represents the product of all the prime numbers less than or equal to n. The largest prime factor of PRO(12)+11 is:

Answer»

If n is a positive integer greater than 1, then PRO(n) represents the product of all the prime numbers less than or equal to n. The largest prime factor of PRO(12)+11 is:


4368.

Consider the sequence defined recursively by p1=a (any positive integer), and pn+1=−1pn+1, n=1,2,3 For which of the following values of n must pn=a?

Answer»

Consider the sequence defined recursively by p1=a (any positive integer), and pn+1=1pn+1, n=1,2,3 For which of the following values of n must
pn=a?

4369.

An equilateral triangle plate is to be cut into n number of identical small equilateral triangle plates. Which of the following can be a value of n.

Answer»

An equilateral triangle plate is to be cut into n number of identical small equilateral triangle plates. Which of the following can be a value of n.

4370.

The sum of all the three digit numbers that leave a remainder of 3 when divided by 4 is___.

Answer» The sum of all the three digit numbers that leave a remainder of 3 when divided by 4 is___.
4371.

What is the minimum total time in which Bajaj can complete his journey within the given budget?

Answer»

What is the minimum total time in which Bajaj can complete his journey within the given budget?


4372.

Q60. A tourist drives 15 km eastward and turns right and takes a drive of 6 km. He again turns right to drive 6 Kms after which he turns left to drive 3 km. At this point, he turns right and drives 9 km. How far is he from his starting point and in which direction?

Answer»

Q60. A tourist drives 15 km eastward and turns right and takes a drive of 6 km. He again turns right to drive 6 Kms after which he turns left to drive 3 km. At this point, he turns right and drives 9 km. How far is he from his starting point and in which direction?


4373.

The sum of first ten terms of an A.P. is 155 and the sum of first two terms of a G.P is 9. The first term of the A.P. is equal to the common ratio of the G.P. and the first term of the G.P. is equal to the common difference of the A.P which can be the A.P. as per the given conditions?

Answer»

The sum of first ten terms of an A.P. is 155 and the sum of first two terms of a G.P is 9. The first term of the A.P. is equal to the common ratio of the G.P. and the first term of the G.P. is equal to the common difference of the A.P which can be the A.P. as per the given conditions?


4374.

If α,β,γ are the roots of the equation x3−3x+11=0, then the equation whose roots are (α+β),(β+γ) and (γ+α) is :

Answer»

If α,β,γ are the roots of the equation x33x+11=0, then the equation whose roots are (α+β),(β+γ) and (γ+α) is :

4375.

In quadrilateral PQRS diagonal PR and QS intersects at O such that Area(ΔPOS)= Area(ΔQOR) .If the distance between side PQ and SR is 4 cm, PQ=3cm, SR=7 cm. Find ar (PQRS).

Answer» In quadrilateral PQRS diagonal PR and QS intersects at O such that Area(ΔPOS)= Area(ΔQOR) .If the distance between side PQ and SR is 4 cm, PQ=3cm, SR=7 cm. Find ar (PQRS).
4376.

If a card is drawn at random from a well shuffled pack of 52 cards, find the probability of getting a black coloured ace. यदि अच्छी तरह मिलाए गए ताश के 52 पत्तों में से एक पत्ता यादृच्छिक रूप से निकाला जाता है, तो काले रंग के इक्के के निकलने की प्रायिकता ज्ञात करें।

Answer»

If a card is drawn at random from a well shuffled pack of 52 cards, find the probability of getting a black coloured ace.

यदि अच्छी तरह मिलाए गए ताश के 52 पत्तों में से एक पत्ता यादृच्छिक रूप से निकाला जाता है, तो काले रंग के इक्के के निकलने की प्रायिकता ज्ञात करें।

4377.

If x ϵ R, and α=x2(1+x4) then

Answer»

If x ϵ R, and α=x2(1+x4) then

4378.

In 2012, registered foreigners were 4% of the total population. From 2000 to 2012, the total population increased by 55% and the number of registered foreigners increased by 670%. Hence, from 2000 to 2012 the number of unregistered foreigners increased by

Answer»

In 2012, registered foreigners were 4% of the total population. From 2000 to 2012, the total population increased by 55% and the number of registered foreigners increased by 670%. Hence, from 2000 to 2012 the number of unregistered foreigners increased by


4379.

Find the remainder when 287 is divided by 100

Answer»

Find the remainder when 287 is divided by 100


4380.

The school had its highest strength in the year :

Answer»

The school had its highest strength in the year :

4381.

P,Q,R,S,T are points on a circle with centre O so that ∠PTQ= 2 x ∠RTS and PQ is parallel to RS. If P,O,Q are in a straight line, then the value of ∠SOQ is ___.

Answer»

P,Q,R,S,T are points on a circle with centre O so that PTQ= 2 x RTS and PQ is parallel to RS. If P,O,Q are in a straight line, then the value of SOQ is ___.

4382.

A and B were able to solve section A and section B respectively in a paper containing only two sections. If A can complete 6 questions in an hour whereas B is 50% more efficient than A, how many questions were given in the exam if the exam duration is 3 hours?

Answer»

A and B were able to solve section A and section B respectively in a paper containing only two sections. If A can complete 6 questions in an hour whereas B is 50% more efficient than A, how many questions were given in the exam if the exam duration is 3 hours?


4383.

If ABCD is a square and E is the midpoint of BC, then find the ratio of area of △ ABE to that of ABCD.

Answer»

If ABCD is a square and E is the midpoint of BC, then find the ratio of area of ABE to that of ABCD.


4384.

Find the value of k such that 3x2+2kx+x−k−5 has the sum of the zeros as half of their product.

Answer» Find the value of k such that 3x2+2kx+xk5 has the sum of the zeros as half of their product.
4385.

Child development specialists have observed that adolescents who receive large weekly allowances tend to spend money on items considered frivolous by their parents whereas adolescents who receive small weekly allowances do not. Thus, in order to ensure that their children do not spend money on frivolous items, parents should not give their children large weekly allowances. Which of the following pieces of information would be most useful in evaluating the validity of the conclusion above?

Answer» Child development specialists have observed that adolescents who receive large weekly allowances tend to spend money on items considered frivolous by their parents whereas adolescents who receive small weekly allowances do not. Thus, in order to ensure that their children do not spend money on frivolous items, parents should not give their children large weekly allowances.

Which of the following pieces of information would be most useful in evaluating the validity of the conclusion above?

4386.

If a=14(2x−1),b=−15(4x+1), a-b=2, Find the value of x.

Answer»

If a=14(2x1),b=15(4x+1), a-b=2, Find the value of x.


4387.

Statements All countries are streets. No street is flag. Some flags are avenues. Conclusions I. Some avenues being streets is a possibility. II. Some countries are flags.

Answer»

Statements

All countries are streets.

No street is flag.

Some flags are avenues.

Conclusions

I. Some avenues being streets is a possibility.

II. Some countries are flags.


4388.

If, in the case of Ramesh, the marks scored by him in Externals in Finance is less than that scored by him in Economics and Accounts, then what is the ratio of total marks scored by all students in Finance put together to the total marks scored by all six students in all the subjects put together?

Answer»

If, in the case of Ramesh, the marks scored by him in Externals in Finance is less than that scored by him in Economics and Accounts, then what is the ratio of total marks scored by all students in Finance put together to the total marks scored by all six students in all the subjects put together?


4389.

3x + 4 |y| = 33. How many integer values of (x,y) are possible?

Answer»

3x + 4 |y| = 33. How many integer values of (x,y) are possible?


4390.

Three years ago, the average age of A and B was 18 yr. When C joins them, the average becomes 22 yr. How old (in years) is C now?

Answer» Three years ago, the average age of A and B was 18 yr. When C joins them, the average becomes 22 yr. How old (in years) is C now?
4391.

The mean of 4 consecutive odd natural numbers is 20. What is the largest of the four? ____________.

Answer» The mean of 4 consecutive odd natural numbers is 20. What is the largest of the four? ____________.
4392.

A is thrice as good as workman as B and therefore is able to finish a job in 60 days less than B. Working together, they can do it in:

Answer» A is thrice as good as workman as B and therefore is able to finish a job in 60 days less than B. Working together, they can do it in:
4393.

A triangle ABC is drawn to circumscribe a circumscribe a circle of radius 4 cm such that the segments BD and DC into which BC is divided by the point of contact D are of lengths 8 cm and 6 cm respectively. Find the sides AB and AC.

Answer» A triangle ABC is drawn to circumscribe a circumscribe a circle of radius 4 cm such that the segments BD and DC into which BC is divided by the point of contact D are of lengths 8 cm and 6 cm respectively. Find the sides AB and AC.

4394.

Find a if Sn = 5n−n2

Answer» Find a if Sn = 5nn2
4395.

Directions: Study the following table carefully and answer the questions that follows: Chart showing schedule of train from Dadar to Bhuj and number of passengers boarding from each station What is the respective ratio between the number of passengers boarding from Vasai Road and from Ahmedabad in the train?

Answer»

Directions: Study the following table carefully and answer the questions that follows:
Chart showing schedule of train from Dadar to Bhuj and number of passengers boarding from each station

What is the respective ratio between the number of passengers boarding from Vasai Road and from Ahmedabad in the train?

4396.

If b>a, then the equation (x-a)(x-b)-1=0, has:

Answer» If b>a, then the equation (x-a)(x-b)-1=0, has:
4397.

In a two digit number, 76% of the digit in ten’s place is equal to 19% of the digit in unit's place. The two digit number can be -

Answer»

In a two digit number, 76% of the digit in ten’s place is equal to 19% of the digit in unit's place. The two digit number can be -


4398.

In the below question, one or more dots are placed in the problem figure (X) followed by four alternatives (a), (b), (c) and (d). One out of these four alternatives contain region(s) common to the circle, square, triangle and rectangle similar to that marked by the dot in figure (X).

Answer»

In the below question, one or more dots are placed in the problem figure (X) followed by four alternatives (a), (b), (c) and (d). One out of these four alternatives contain region(s) common to the circle, square, triangle and rectangle similar to that marked by the dot in figure (X).


4399.

The fourth and sixteenth term of an A.P are 4 and 23 respectively. Then the tenth term of the A.P. is

Answer»

The fourth and sixteenth term of an A.P are 4 and 23 respectively. Then the tenth term of the A.P. is


4400.

Oranges are priced at 30% of the cost of grapes, in the early season. If cost of grapes is Rs. 450, what is the cost (in Rs.) of oranges? (All the units in kg)

Answer»

Oranges are priced at 30% of the cost of grapes, in the early season. If cost of grapes is Rs. 450, what is the cost (in Rs.) of oranges? (All the units in kg)