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3951.

Find the principal amount if Compound interest earned is 170 for 2 years compounded annually at 1.5% p.a.

Answer» Find the principal amount if Compound interest earned is 170 for 2 years compounded annually at 1.5% p.a.
3952.

Arun's present age in years is 40% of Barun's. In another few years, Arun's age will be half of Barun's. By what percentage will Barun's age increase during this period?___

Answer»

Arun's present age in years is 40% of Barun's. In another few years, Arun's age will be half of Barun's. By what percentage will Barun's age increase during this period?___

3953.

If f1(x)=x2+11x+n and f2(x)=x, then the largest positive integer n for which the equation f1(x)=f2(x) has two distinct real roots, is___

Answer»

If f1(x)=x2+11x+n and f2(x)=x, then the largest positive integer n for which the equation f1(x)=f2(x) has two distinct real roots, is___

3954.

A, B and C can do a work together in a certain number of days. If A leaves after half the work is done, then the work takes 4 more days for completion, but if B leaves after half the work is done, the work takes 5 more days for completion. If A takes 10 more days than B to do the work alone, then in how many days can C alone do the work?

Answer»

A, B and C can do a work together in a certain number of days. If A leaves after half the work is done, then the work takes 4 more days for completion, but if B leaves after half the work is done, the work takes 5 more days for completion. If A takes 10 more days than B to do the work alone, then in how many days can C alone do the work?

3955.

X! is completely divisible by 1151 but not by 1152. What is the sum of digits of largest such number X?___

Answer» X! is completely divisible by 1151 but not by 1152. What is the sum of digits of largest such number X?___
3956.

The figure below represents sales and net profit (in Rs. crore) of IVP Ltd. For the 5 yr from 1994-99. During this period, the sales increased from Rs 100 crore to Rs 680 crore. Correspondingly, the net profit increased from Rs 2.5 crore to Rs 12 crore. Net profit is defined as the excess of sales over total costs. With profitability as defined in question 200, it can be concluded that

Answer» The figure below represents sales and net profit (in Rs. crore) of IVP Ltd. For the 5 yr from 1994-99. During this period, the sales increased from Rs 100 crore to Rs 680 crore. Correspondingly, the net profit increased from Rs 2.5 crore to Rs 12 crore. Net profit is defined as the excess of sales over total costs.

With profitability as defined in question 200, it can be concluded that
3957.

Sets A, B, C and D are all subsets of quadrilaterals. A is the set of rhombi, B is the set of rectangles, C is the set of parallelograms, and D is the set of kites. What is the set (A ∩ B) ∪ (C ∩ D)?

Answer»

Sets A, B, C and D are all subsets of quadrilaterals. A is the set of rhombi, B is the set of rectangles, C is the set of parallelograms, and D is the set of kites. What is the set (A B) (C D)?

3958.

Who among them is a woman librarian, who is neither post graduate nor belongs to urban area? Direction: In the following figure rectangle represents women, circle represents urban, triangle represents post graduates and square represents librarians

Answer»

Who among them is a woman librarian, who is neither post graduate nor belongs to urban area?

Direction: In the following figure rectangle represents women, circle represents urban, triangle represents post graduates and square represents librarians


3959.

If equation (k−1)x2+(k2+1)x+6=0 and 2x2+10x+12=0 have both roots common, the find the value of k

Answer»

If equation (k1)x2+(k2+1)x+6=0 and 2x2+10x+12=0 have both roots common, the find the value of k

3960.

Find the remainder when (17) (9!) + 2 (18!) is divided by (9!) 17408___

Answer» Find the remainder when (17) (9!) + 2 (18!) is divided by (9!) 17408___
3961.

What is the sum of interior angles in an acute angled triangle?

Answer»

What is the sum of interior angles in an acute angled triangle?

3962.

If (1+i1−i)m=1, then find the least positive intergral value of m.

Answer» If (1+i1i)m=1, then find the least positive intergral value of m.
3963.

Concentric circles are drawn with radii 1, 2, 3 … 100. The interior of the smallest circle is colored black and the annular regions are colored alternately red and black, so that no two adjacent regions are the same color. The total area of the red regions divided by the area of the largest circle is

Answer»

Concentric circles are drawn with radii 1, 2, 3 … 100. The interior of the smallest circle is colored black and the annular regions are colored alternately red and black, so that no two adjacent regions are the same color. The total area of the red regions divided by the area of the largest circle is

3964.

Two cars have the same cost price. One is sold at a profit of 15% and the other for Rs. 23000 more than the first. If the net profit is 20%, the cost price of each car is (in Rs.)___

Answer» Two cars have the same cost price. One is sold at a profit of 15% and the other for Rs. 23000 more than the first. If the net profit is 20%, the cost price of each car is (in Rs.)___
3965.

Some statements are given, followed by some conclusions. Consider the statements to be true even if they seem to be at variance from commonly known facts. Decide which of the given conclusions follow from the given statements. Statements: All pens are clocks. Some clocks are tyres. Some tyres are wheels. Some wheels are buses. Conclusions: I. Some buses are tyres. II. Some wheels are clocks. III. Some wheels are pens. IV. Some buses are clocks.

Answer» Some statements are given, followed by some conclusions. Consider the statements to be true even if they seem to be at variance from commonly known facts. Decide which of the given conclusions follow from the given statements.

Statements: All pens are clocks. Some clocks are tyres. Some tyres are wheels. Some wheels are buses.
Conclusions:
I. Some buses are tyres.
II. Some wheels are clocks.
III. Some wheels are pens.
IV. Some buses are clocks.
3966.

If l, m, n are 3 positive roots of the equation (p, q ϵ R), then the minimum value of l + 2m + 3n is

Answer»

If l, m, n are 3 positive roots of the equation (p, q ϵ R), then the minimum value of l + 2m + 3n is


3967.

Read the following passage and answer the questions that follow: Equal number of students from two schools are meeting in a sports meet and in this meet, total number of boys is equal to the total number of girls. Students of same sex and same school hug each other and students of same school but different sex handshake with each other. Total number of girls in the meet is 3 and each of the two schools is sending at least 1 boy and 1 girl to the meet. Q61. What is the total number of handshakes in the meet? निम्नलिखित परिचछेद को पढ़िए और इसके आगे आने वाले प्रश्नों के उत्तर दीजिएः एक स्पोर्ट्स बैठक (sports meet) में दो विद्यालयों से समान संख्या में विद्यार्थी भाग ले रहे हैं और इस बैठक में, लड़कों की कुल संख्या लड़कियों की कुल संख्या के बराबर है। एक हीं विद्यलाय के तथा सम लिंगी विद्यार्थी एक-दूसरे से गले मिलते हैं और एक हीं विद्यालय के परंतु विषम लिंगी विद्यार्थी एक-दूसरे से हाथ मिलाते हैं। बैठक में लड़कियों की कुल संख्या 3 हैं और दोनों में से प्रत्येक विद्यालय बैठक में कम से कम 1 लड़का और 1 लड़की भेज रहा है। Q61. बैठक में हाथ मिलाने की कुल संख्या कितनी है?

Answer»

Read the following passage and answer the questions that follow:

Equal number of students from two schools are meeting in a sports meet and in this meet, total number of boys is equal to the total number of girls. Students of same sex and same school hug each other and students of same school but different sex handshake with each other. Total number of girls in the meet is 3 and each of the two schools is sending at least 1 boy and 1 girl to the meet.

Q61. What is the total number of handshakes in the meet?

निम्नलिखित परिचछेद को पढ़िए और इसके आगे आने वाले प्रश्नों के उत्तर दीजिएः

एक स्पोर्ट्स बैठक (sports meet) में दो विद्यालयों से समान संख्या में विद्यार्थी भाग ले रहे हैं और इस बैठक में, लड़कों की कुल संख्या लड़कियों की कुल संख्या के बराबर है। एक हीं विद्यलाय के तथा सम लिंगी विद्यार्थी एक-दूसरे से गले मिलते हैं और एक हीं विद्यालय के परंतु विषम लिंगी विद्यार्थी एक-दूसरे से हाथ मिलाते हैं। बैठक में लड़कियों की कुल संख्या 3 हैं और दोनों में से प्रत्येक विद्यालय बैठक में कम से कम 1 लड़का और 1 लड़की भेज रहा है।

Q61. बैठक में हाथ मिलाने की कुल संख्या कितनी है?


3968.

Directions:- Study the following information carefully to answer the question given below. Eight colleagues A, B, C, D, E, F, G and H are sitting around a circular table facing the centre but not necessarily in the same order. Each one of them holds a different post viz. Manager, Company Secretary, Chairman, President. Vice -President, Group leader, Financial Advisor and Managing Director. A sits third to right of the Managing Director. Only two people sit between the Managing Director and H. Vice President and the Company Secretary are immediate neighbours of each other. Neither A nor H is a Vice President or a Company Secretary. Vice president is not an immediate neighbour of the Managing Director. Manager sits second to left of E. E is not an immediate neighbour of H. The Manager is an immediate neighbour of both the Group Leader and the Financial Advisor. Financial Advisor sits third to right of B. B is not the Vice president. C sits to the immediate right of the Chairman. A is not the Chairman. F is not an immediate neighbour of A. G is not an immediate neighbour of the Manager. Who amongst the following sit exactly between the Managing Director and H?

Answer»

Directions:- Study the following information carefully to answer the question given below.

Eight colleagues A, B, C, D, E, F, G and H are sitting around a circular table facing the centre but not necessarily in the same order. Each one of them holds a different post viz. Manager, Company Secretary, Chairman, President. Vice -President, Group leader, Financial Advisor and Managing Director.
A sits third to right of the Managing Director. Only two people sit between the Managing Director and H. Vice President and the Company Secretary are immediate neighbours of each other. Neither A nor H is a Vice President or a Company Secretary. Vice president is not an immediate neighbour of the Managing Director. Manager sits second to left of E. E is not an immediate neighbour of H. The Manager is an immediate neighbour of both the Group Leader and the Financial Advisor. Financial Advisor sits third to right of B. B is not the Vice president. C sits to the immediate right of the Chairman. A is not the Chairman. F is not an immediate neighbour of A. G is not an immediate neighbour of the Manager.

Who amongst the following sit exactly between the Managing Director and H?

3969.

Prove that 5k−5 is multiple of 4

Answer»

Prove that 5k5 is multiple of 4

3970.

What is collinear?

Answer» What is collinear?
3971.

Multiply: 212×223= _____.

Answer»

Multiply: 212×223= _____.


3972.

A trader bought a number of articles for Rs.900, five were damaged and he sold each of the rest at Rs.2 more than what he paid for it. If on the whole he gains Rs.80, find the number of articles bought.

Answer» A trader bought a number of articles for Rs.900, five were damaged and he sold each of the rest at Rs.2 more than what he paid for it. If on the whole he gains Rs.80, find the number of articles bought.
3973.

Q15. Which of the given number will replace question mark? Q15. दिए गए संख्याओं में से ‘?’ के स्थान पर क्या होगा?

Answer»

Q15. Which of the given number will replace question mark?

Q15. दिए गए संख्याओं में से ‘?’ के स्थान पर क्या होगा?


3974.

A man borrowed Rs.20000 at the rate of 10% per annum compounded annually and let the total amount needs to be paid at the end of one, two, three and four years be a, b, c and d respectively. Then d−ac−b=220000k , find the value of k.

Answer»

A man borrowed Rs.20000 at the rate of 10% per annum compounded annually and let the total amount needs to be paid at the end of one, two, three and four years be a, b, c and d respectively. Then dacb=220000k , find the value of k.


3975.

The remainder obtained when 10141 is divided by 41 is

Answer»

The remainder obtained when 10141 is divided by 41 is


3976.

There are 12 volleyball players in all in a college, out of which a team of 9 players is to be formed. If the captain always remains the same, then in how many ways can the team be formed?

Answer»

There are 12 volleyball players in all in a college, out of which a team of 9 players is to be formed. If the captain always remains the same, then in how many ways can the team be formed?


3977.

In triangle ABC the medians AD,BE,CF intersect at G. Prove that ar(AGB) = 13 ar(ABC)

Answer» In triangle ABC the medians AD,BE,CF intersect at G. Prove that ar(AGB) = 13 ar(ABC)
3978.

Prove that ∠PFG = 90∘ in the given figure.

Answer» Prove that PFG = 90 in the given figure.

    3979.

    How many numbers have at least one number preceding or succeeding them?

    Answer»

    How many numbers have at least one number preceding or succeeding them?


    3980.

    xa+xb+xc=1.Find the value of x.

    Answer»

    xa+xb+xc=1.Find the value of x.


    3981.

    In triangle ABC, side AB = 20, AC = 11, and BC = 13. The diameter of the semicircle inscribed in ABC, whose diameter lies on AB, and that is tangent to AC and BC is ___

    Answer» In triangle ABC, side AB = 20, AC = 11, and BC = 13. The diameter of the semicircle inscribed in ABC, whose diameter lies on AB, and that is tangent to AC and BC is ___
    3982.

    Given that p>1. What is the minimum value of ?

    Answer»

    Given that p>1. What is the minimum value of ?


    3983.

    In how many of these years, the aggregate number of marks allotted to all the topics is less than the aggregate number of marks allotted to all the topics in the year 1999 but more than aggregate number of marks allotted to all the topics in the year 2001?

    Answer»

    In how many of these years, the aggregate number of marks allotted to all the topics is less than the aggregate number of marks allotted to all the topics in the year 1999 but more than aggregate number of marks allotted to all the topics in the year 2001?


    3984.

    A hunter spots a bird flying in the sky at an elevation 60∘ from his line of sight. Keeping in mind the speed of the bird, he fires his gun at an elevation 45∘ with his line of sight. However, the bird changes its direction by the time the bullet crosses the bird, the bird has flown down to an elevation 30º from his line of sight. At the time the bullet and the bird are vertically in-line, what would be the distance between them (Assume initial height of the bird from the ground = 2000m)?

    Answer»

    A hunter spots a bird flying in the sky at an elevation 60 from his line of sight. Keeping in mind the speed of the bird, he fires his gun at an elevation 45 with his line of sight. However, the bird changes its direction by the time the bullet crosses the bird, the bird has flown down to an elevation 30º from his line of sight. At the time the bullet and the bird are vertically in-line, what would be the distance between them (Assume initial height of the bird from the ground = 2000m)?


    3985.

    In the adjoining figure ABCD is a rectangle. Find the maximum number of rectangles including the largest possible rectangle :

    Answer»

    In the adjoining figure ABCD is a rectangle. Find the maximum number of rectangles including the largest possible rectangle :


    3986.

    Eight football teams - Italy, Norway, Brazil, Spain, Germany, Argentina, England and Portugal - participated in the mini world cup. These eight teams are divided into two groups. A and B - of four teams each group, every team played exactly one league match with every other team. The top two teams from each group, based on the number of points scored in the league matches, qualify for the next round, i.e., the semifinals. In the semifinals, the team with the highest number points from Group A will play with the second highest number of points from Group B, and the team with the highest number of points from group B will play with the team with second highest number of points from Group A. No game among the semifinals or the finals ends as a draw. For every team, a win earns have points, draw earns one point and a loss does not earn any points. Further the following information is known. 1. Germany won against Portugal in the finals. 2. In neither of the groups did any two teams score the same number of points during the league matches. 3. Spain had only one draw and that was with England. 4. Portugal, which stood second in Group B, did not play against Norway in the semifinals. 5. Though Brazil scored the same number of points as Argentina did, it did not qualify for the semifinals whereas Argentina did. 6. Both Argentina and Brazil scored 3 points in their group stage. Q. Which of the following teams are in group A?

    Answer»

    Eight football teams - Italy, Norway, Brazil, Spain, Germany, Argentina, England and Portugal - participated in the mini world cup. These eight teams are divided into two groups. A and B - of four teams each group, every team played exactly one league match with every other team. The top two teams from each group, based on the number of points scored in the league matches, qualify for the next round, i.e., the semifinals. In the semifinals, the team with the highest number points from Group A will play with the second highest number of points from Group B, and the team with the highest number of points from group B will play with the team with second highest number of points from Group A. No game among the semifinals or the finals ends as a draw. For every team, a win earns have points, draw earns one point and a loss does not earn any points. Further the following information is known.

    1. Germany won against Portugal in the finals.
    2. In neither of the groups did any two teams score the same number of points during the league matches.
    3. Spain had only one draw and that was with England.
    4. Portugal, which stood second in Group B, did not play against Norway in the semifinals.
    5. Though Brazil scored the same number of points as Argentina did, it did not qualify for the semifinals whereas Argentina did.

    6. Both Argentina and Brazil scored 3 points in their group stage.

    Q. Which of the following teams are in group A?


    3987.

    If 2k > 111111.11111 , then the minimum integral value of k that satisfies the given condition is (given that log 2 = 0.3010 and log 3 = 0.4771 )

    Answer»

    If 2k > 111111.11111 , then the minimum integral value of k that satisfies the given condition is (given that log 2 = 0.3010 and log 3 = 0.4771 )


    3988.

    Complete the following number series? 18, 23, 20, 25, 22, 27?

    Answer»

    Complete the following number series?

    18, 23, 20, 25, 22, 27?


    3989.

    Two rugby teams (thirty players) have been selected to play for their school. Five of the players speak Spanish, Afrikaans and English. Nine of them speak only Spanish and English. Twenty speak Afrikaans, of which twelve also speak Spanish. Eighteen speak English. No one speaks only Spanish. How many players speak only English?___

    Answer» Two rugby teams (thirty players) have been selected to play for their school. Five of the players speak Spanish, Afrikaans and English. Nine of them speak only Spanish and English. Twenty speak Afrikaans, of which twelve also speak Spanish. Eighteen speak English. No one speaks only Spanish. How many players speak only English?___
    3990.

    A person saves 40% of his monthly salary. If his monthly expenditure is Rs. 5400, then his monthly savings (in Rs.) is:

    Answer»

    A person saves 40% of his monthly salary. If his monthly expenditure is Rs. 5400, then his monthly savings (in Rs.) is:


    3991.

    If 0 < x < 1000 and [x2]+[x3]+[x5]=3130x, where [x] is the greatest integer less than or equal to x, then the number of possible values of x is? ___

    Answer» If 0 < x < 1000 and [x2]+[x3]+[x5]=3130x, where [x] is the greatest integer less than or equal to x, then the number of possible values of x is? ___
    3992.

    In a college that has 100 arts students, there are 5 optional subjects among History, Music, Dance, Debate and Photography to choose from. 99% of them choose at least one subject, 49% choose at least 2 subjects, 24% choose at least 3 subjects, 14% choose at least 4 subjects and 4% choose all the subjects. What is the sum of number of students who choose exactly three subjects and who choose exactly 4 subjects?

    Answer»

    In a college that has 100 arts students, there are 5 optional subjects among History, Music, Dance, Debate and Photography to choose from. 99% of them choose at least one subject, 49% choose at least 2 subjects, 24% choose at least 3 subjects, 14% choose at least 4 subjects and 4% choose all the subjects. What is the sum of number of students who choose exactly three subjects and who choose exactly 4 subjects?


    3993.

    For how many integers n, will the inequality (n−5)(n−10)−3(n−2)≤0 be satisfied?___

    Answer»

    For how many integers n, will the inequality (n5)(n10)3(n2)0 be satisfied?___

    3994.

    A person forgot his laptop password and he kept hint for the password in the following manner: Password is summation of ( Z + X + Y + W + A ) + (F + C + D + B + E ) + (K + H + J + G + I ) + (N + M + L + P + O ) + (V + T + S + R + Q + U) and A = 1256, B = 1257, C = 1258 …….. Z = 1281. The laptop password is ___.

    Answer»

    A person forgot his laptop password and he kept hint for the password in the following manner:
    Password is summation of ( Z + X + Y + W + A ) + (F + C + D + B + E ) + (K + H + J + G + I ) + (N + M + L + P + O ) + (V + T + S + R + Q + U) and A = 1256, B = 1257, C = 1258 …….. Z = 1281.
    The laptop password is ___.

    3995.

    If the pass code for 7 pm to 8 pm batch is ‘pen with worth please nice tank day’, what will be the pass code for 11 am to 12 noon?

    Answer»

    If the pass code for 7 pm to 8 pm batch is ‘pen with worth please nice tank day’, what will be the pass code for 11 am to 12 noon?


    3996.

    The company is negotiating to sell its profitable credit card subsidiary, which it plans to use money from to acquire some of the mortgage-servicing operations that are being sold by troubled savings institutions. (A) subsidiary, which it plans to use money from (B) subsidiary, from which it plans to use money (C) subsidiary, and it plans the use of money from that (D) subsidiary and plans to use money from that sale (E) subsidiary and plans the use of money from that sale ___

    Answer» The company is negotiating to sell its profitable credit card subsidiary, which it plans to use money from to acquire some of the mortgage-servicing operations that are being sold by troubled savings institutions.

    (A) subsidiary, which it plans to use money from

    (B) subsidiary, from which it plans to use money

    (C) subsidiary, and it plans the use of money from that

    (D) subsidiary and plans to use money from that sale

    (E) subsidiary and plans the use of money from that sale

    ___
    3997.

    Q15. Which of the following is correctly matched? 1. SAMADHAN: Vehicle Management System 2. SUVIDHA: Single Window Permission System 3. SUGAM: Public Grievance Redressal and Monitoring System Which of the statements are correct?

    Answer»

    Q15. Which of the following is correctly matched?

    1. SAMADHAN: Vehicle Management System

    2. SUVIDHA: Single Window Permission System

    3. SUGAM: Public Grievance Redressal and Monitoring System

    Which of the statements are correct?


    3998.

    In the figure below, C is the center of the square. Find the area of the shaded area?___

    Answer» In the figure below, C is the center of the square. Find the area of the shaded area?___

    3999.

    A pump can fill a tank in 3 hrs. Due to a leakage, it took 312 hrs to fill it up completely. If the tank is full, how long will it take for the leakage to empty it?

    Answer»

    A pump can fill a tank in 3 hrs. Due to a leakage, it took 312 hrs to fill it up completely. If the tank is full, how long will it take for the leakage to empty it?


    4000.

    Find the least number which when divided by 9,10 and 11 give remainders of 2,3 and 5 respectively?

    Answer»

    Find the least number which when divided by 9,10 and 11 give remainders of 2,3 and 5 respectively?