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2951.

Ramu has 50 kg of rice. He sells a part of it at 14% profit and the remaining at 6% loss. His overall loss was 4%. What is the quantity sold at 14% profit?

Answer»

Ramu has 50 kg of rice. He sells a part of it at 14% profit and the remaining at 6% loss. His overall loss was 4%. What is the quantity sold at 14% profit?


2952.

If α and β(α<β) are the roots of the equation x2+bx+c=0, where c<0<b, then:

Answer»

If α and β(α<β) are the roots of the equation x2+bx+c=0, where c<0<b, then:

2953.

The odds against a husband who is 50 years old living till he is 70 are 7:5 and the odds against his wife who is now 40, living till she is 60 are 5 : 3. Find the probability that the couple will be alive 20 years hence.

Answer»

The odds against a husband who is 50 years old living till he is 70 are 7:5 and the odds against his wife who is now 40, living till she is 60 are 5 : 3. Find the probability that the couple will be alive 20 years hence.

2954.

The product of four consecutive positive numbers is 840. Find the numbers.

Answer»

The product of four consecutive positive numbers is 840. Find the numbers.

2955.

Mean and standard deviation of runs scored by a cricket player are 80 and 4 respectively. Find coefficient of variation.

Answer» Mean and standard deviation of runs scored by a cricket player are
80 and 4 respectively. Find coefficient of variation.
2956.

The distance between the two stations was 550 km. Two trains start at same time from the two station on parallel track to cross one another .The speed of one train is 10 km per hour more than the other . If after 3 hours the train reaches 40 km, find their speed?

Answer»

The distance between the two stations was 550 km. Two trains start at same time from the two station on parallel track to cross one another .The speed of one train is 10 km per hour more than the other . If after 3 hours the train reaches 40 km, find their speed?

2957.

If 3sinx + 4cosx + r is always greater than or equal to 0, what is the smallest value that r can take?

Answer»

If 3sinx + 4cosx + r is always greater than or equal to 0, what is the smallest value that r can take?


2958.

In a college, 59th of the students are boys and the remaining are girls. On a particular day, 45th of the boys and 78th of the girls were absent. How many more boys were absent than the girls, if total number of boys is 80 more than the number of girls?

Answer»

In a college, 59th of the students are boys and the remaining are girls. On a particular day, 45th of the boys and 78th of the girls were absent. How many more boys were absent than the girls, if total number of boys is 80 more than the number of girls?


2959.

Q76)At what time between 4 and 5 o'clock will the hands of a watch point in opposite directions?

Answer»

Q76)At what time between 4 and 5 o'clock will the hands of a watch point in opposite directions?


2960.

The midpoint of the sides of a triangle is joined forming a second triangle. A third triangle is formed joining the midpoints of the sides of the second and the process is continued infinitely. If the area of the first triangle is 24 units, then find the sum of areas of all triangles.

Answer»

The midpoint of the sides of a triangle is joined forming a second triangle. A third triangle is formed joining the midpoints of the sides of the second and the process is continued infinitely. If the area of the first triangle is 24 units, then find the sum of areas of all triangles.


2961.

Find the number which when increased by 6% becomes 424.

Answer»

Find the number which when increased by 6% becomes 424.

2962.

The following list of numbers is given: 21, 40, 59, 78, 97, . . . , 4562. Find the number of integers in this list whose HCF with 240 is not more than 1.

Answer»

The following list of numbers is given: 21, 40, 59, 78, 97, . . . , 4562. Find the number of integers in this list whose HCF with 240 is not more than 1.


2963.

Suppose the employees are allowed to process multiple orders at a time, but the preference would be to finish orders of clients who placed their orders earlier. At what time is the order placed by Client 2 completely served?

Answer»

Suppose the employees are allowed to process multiple orders at a time, but the preference would be to finish orders of clients who placed their orders earlier.
At what time is the order placed by Client 2 completely served?


2964.

If the pass code for third batch is ‘at stark swarm and night chick good’, which batch will have the pass code ‘chick swarm night and stark good at?

Answer»

If the pass code for third batch is ‘at stark swarm and night chick good’, which batch will have the pass code ‘chick swarm night and stark good at?


2965.

If on selling 12 notebooks, a seller makes a profit equal to the selling price of 4 notebooks, what is his percent profit?

Answer»

If on selling 12 notebooks, a seller makes a profit equal to the selling price of 4 notebooks, what is his percent profit?


2966.

What is the smallest of the numbers between 613,2416 and 814?

Answer» What is the smallest of the numbers between 613,2416 and 814?
2967.

A right - angled triangle ABC is right - angled at B. The point o contact of the incircle with the hypotenuse, divides it, in the ratio 3:2. If the perimeter of the triangle ABC is 36 cm, find its inradis.

Answer» A right - angled triangle ABC is right - angled at B. The point o contact of the incircle with the hypotenuse, divides it, in the ratio 3:2. If the perimeter of the triangle ABC is 36 cm, find its inradis.
2968.

If a,b,c,d are integers, then what 4 digit number abcd satisfies the equation 4 x abcd =dcba

Answer»

If a,b,c,d are integers, then what 4 digit number abcd satisfies the equation 4 x abcd =dcba

2969.

Find out the appropriate word which fits the 4th blank.

Answer»

Find out the appropriate word which fits the 4th blank.


2970.

The number X4531Y, where X and Y are single-digit numbers, is divisible by 72. Then X - Y is equal to:

Answer»

The number X4531Y, where X and Y are single-digit numbers, is divisible by 72. Then X - Y is equal to:

2971.

ABCD is a parallelogram. E is a point on CD such that BE bisects ∠ABC. BE = 12 cm, CE = 19 cm, ∠BEC = ∠AED. DE = ___ cm.

Answer»

ABCD is a parallelogram. E is a point on CD such that BE bisects ABC. BE = 12 cm, CE = 19 cm, BEC = AED. DE = ___ cm.

2972.

An elevator has a weight limit of 630 kg. It is carrying group of people of whom the heaviest weighs 57 kg and the lightest weighs 53 kg. What is the maximum possible number of people in the group?___

Answer»

An elevator has a weight limit of 630 kg. It is carrying group of people of whom the heaviest weighs 57 kg and the lightest weighs 53 kg. What is the maximum possible number of people in the group?___

2973.

The greatest perfect square less than 20000 which is divisible by each of 2,5,7 and 8 is :___

Answer» The greatest perfect square less than 20000 which is divisible by each of 2,5,7 and 8 is :___
2974.

Which of the following is correct if no one shifted between Matonline and Gurumath at the beginning of September? I) One student shifted out of Gurumath at the beginning of September II) 2 students shifted to Matonline

Answer»

Which of the following is correct if no one shifted between Matonline and Gurumath at the beginning of September?

I) One student shifted out of Gurumath at the beginning of September

II) 2 students shifted to Matonline


2975.

The lab has decided to allow a variation in the sequence of scans of the five fingers so that at most two scans (out of five) are out of place. For example, if the original sequence is Thumb (T), index finger (I), middle finger (M), ring finger(R) and little finger (L) then TLMRI is also allowed, but TMRLI is not. How many different sequences of scans are allowed for any given person's original scan?___

Answer» The lab has decided to allow a variation in the sequence of scans of the five fingers so that at most two scans (out of five) are out of place. For example, if the original sequence is Thumb (T), index finger (I), middle finger (M), ring finger(R) and little finger (L) then TLMRI is also allowed, but TMRLI is not.
How many different sequences of scans are allowed for any given person's original scan?___
2976.

How many pairs of co-prime natural numbers a and b exist such that a + b = 510?

Answer»

How many pairs of co-prime natural numbers a and b exist such that a + b = 510?

2977.

A student has 60% chances of passing in English and 54% chances of passing in both English and Mathematics. What is the percentage probability that he will fail in Mathematics?

Answer»

A student has 60% chances of passing in English and 54% chances of passing in both English and Mathematics. What is the percentage probability that he will fail in Mathematics?


2978.

The expression E=secθ+tanθ−1tanθ−secθ+1 can be simplified to -

Answer»

The expression E=secθ+tanθ1tanθsecθ+1 can be simplified to -


2979.

Find the values of 't' in the equation x2 - 2tx + t2 - 1 = 0 such that exactly one root lies in between the numbers 2 and 4, and no root of the equation is either 2 (or) 4.

Answer»

Find the values of 't' in the equation x2 - 2tx + t2 - 1 = 0 such that exactly one root lies in between the numbers 2 and 4, and no root of the equation is either 2 (or) 4.


2980.

The work done by a man, a woman and a child is in the ratio of 3: 2: 1 and the wages that they receive are proportional to the work done by them in a week. There are 20 men, 30 women and 36 children in a factory. Their weekly wages amount to Rs.780. What will be the wages of 15 men, 21 women and 30 children for a month, which is made of 4 working weeks?

Answer»

The work done by a man, a woman and a child is in the ratio of 3: 2: 1 and the wages that they receive are proportional to the work done by them in a week. There are 20 men, 30 women and 36 children in a factory. Their weekly wages amount to Rs.780. What will be the wages of 15 men, 21 women and 30 children for a month, which is made of 4 working weeks?


2981.

Q1. In a journey, a man covers a part of the distance in a bus and the rest in a train. If the ratio of the speeds of the bus and that of the train is 5:3 and the ratio of the distances covered by the train and that by the bus is 7:9, then what is the ratio of the time spent in the bus to that spent in the train? एक यात्रा में, एक आदमी कुछ दूरी बस द्वारा और शेष ट्रेन द्वारा तय करता है। यदि बस की चाल और ट्रेन की चाल का अनुपात 5:3 है तथा ट्रेन द्वारा तय की गई दूरी और बस द्वारा तय की गई दूरी का अनुपात 7:9 है, तो उस आदमी के द्वारा बस में बिताए गए समय और ट्रेन में बिताए गए समय का अनुपात क्या है?

Answer»

Q1. In a journey, a man covers a part of the distance in a bus and the rest in a train. If the ratio of the speeds of the bus and that of the train is 5:3 and the ratio of the distances covered by the train and that by the bus is 7:9, then what is the ratio of the time spent in the bus to that spent in the train?

एक यात्रा में, एक आदमी कुछ दूरी बस द्वारा और शेष ट्रेन द्वारा तय करता है। यदि बस की चाल और ट्रेन की चाल का अनुपात 5:3 है तथा ट्रेन द्वारा तय की गई दूरी और बस द्वारा तय की गई दूरी का अनुपात 7:9 है, तो उस आदमी के द्वारा बस में बिताए गए समय और ट्रेन में बिताए गए समय का अनुपात क्या है?


2982.

80 litres of milk is kept in a container. From this volume, 8 litres of milk was taken out and replaced by water. This process was repeated two more times. How much milk (approximately) is now present in the container?

Answer»

80 litres of milk is kept in a container. From this volume, 8 litres of milk was taken out and replaced by water. This process was repeated two more times. How much milk (approximately) is now present in the container?


2983.

Which one of the following groups CANNOT march immediately behind the gymnasts?

Answer»

Which one of the following groups CANNOT march immediately behind the gymnasts?


2984.

Q. The Venn diagram given below shows the estimated readership (in lakhs) of 3 leading newspaper dailies (ABC, DEF, and GHI) in the city M&amp;M, which has an estimated population of 8.9 million. It is also known that the total readership of ABC is 9.7 lakhs, DEF is 9.1 lakhs, and that of GHI is 8.9 lakhs. What percent of the total population of M&amp;M reads at least one of these three newspapers? Q. नीचे दिए गए वेन आरेख, शहर M&amp;M में 3 प्रमुख दैनिक समाचार पत्रों (ABC, DEF, और GHI) के अनुमानित पाठकों (लाखों में) की संख्या को व्यक्त करते हैं , शहर की अनुमानित जनसंख्या 8.9 मिलियन है। यह भी ज्ञात है कि ABC के पाठकों की कुल संख्या 9.7 लाख है, DEF की 9.1 लाख और GHI की 8.9 लाख है। M &amp; M की कुल जनसंख्या का कितना प्रतिशत इन तीन अखबारों में से कम से कम एक को पढ़ता है?

Answer»

Q. The Venn diagram given below shows the estimated readership (in lakhs) of 3 leading newspaper dailies (ABC, DEF, and GHI) in the city M&M, which has an estimated population of 8.9 million. It is also known that the total readership of ABC is 9.7 lakhs, DEF is 9.1 lakhs, and that of GHI is 8.9 lakhs.
What percent of the total population of M&M reads at least one of these three newspapers?

Q. नीचे दिए गए वेन आरेख, शहर M&M में 3 प्रमुख दैनिक समाचार पत्रों (ABC, DEF, और GHI) के अनुमानित पाठकों (लाखों में) की संख्या को व्यक्त करते हैं , शहर की अनुमानित जनसंख्या 8.9 मिलियन है। यह भी ज्ञात है कि ABC के पाठकों की कुल संख्या 9.7 लाख है, DEF की 9.1 लाख और GHI की 8.9 लाख है।
M & M की कुल जनसंख्या का कितना प्रतिशत इन तीन अखबारों में से कम से कम एक को पढ़ता है?

2985.

Q24. Let there are three numbers which are in the ratio of 2:3:4 and the value of their LCM is 948 so what is the smallest of three numbers?

Answer»

Q24. Let there are three numbers which are in the ratio of 2:3:4 and the value of their LCM is 948 so what is the smallest of three numbers?


2986.

Given: PQ is a tangent. AB is a diameter, ∠CAB=30∘∠PCA=?

Answer» Given: PQ is a tangent. AB is a diameter, CAB=30PCA=?
2987.

PQ and RS are two parallel chords of a circle such that PQ=10 cm &amp; RS=24cm. If the chords are on the opposite sides of the centre and the distance between them is 17 cm, find the radius of the circle.

Answer»

PQ and RS are two parallel chords of a circle such that PQ=10 cm & RS=24cm. If the chords are on the opposite sides of the centre and the distance between them is 17 cm, find the radius of the circle.

2988.

A tank is filled in 5 hours by three pipes A, B and C. The pipe C is twice, as fast as B and B is twice as fast as A. How much time will pipe A alone take to fill the tank?

Answer»

A tank is filled in 5 hours by three pipes A, B and C. The pipe C is twice, as fast as B and B is twice as fast as A. How much time will pipe A alone take to fill the tank?


2989.

There are nine distinct numbers of which five numbers are positive and four numbers are negative. Three numbers are chosen at random and the product of these numbers is found. How many of these products are positive?

Answer»

There are nine distinct numbers of which five numbers are positive and four numbers are negative. Three numbers are chosen at random and the product of these numbers is found. How many of these products are positive?


2990.

Find the highest power of 2 in [10301010+30]; where [x] is the greatest integer function.

Answer»

Find the highest power of 2 in [10301010+30]; where [x] is the greatest integer function.


2991.

Find out the greatest possible sum of the terms of AP: 20, 17, 14, 11............

Answer»

Find out the greatest possible sum of the terms of AP: 20, 17, 14, 11............

2992.

The remainder when 445+444+443+442+441+...........+40 is divided by 17 is:-

Answer»

The remainder when 445+444+443+442+441+...........+40 is divided by 17 is:-


2993.

How many two digits odd numbers are there with 10 factors?

Answer»

How many two digits odd numbers are there with 10 factors?


2994.

In the adjoining figure, ABCD is a cyclic quadrilateral. Then r + s is equal to

Answer»

In the adjoining figure, ABCD is a cyclic quadrilateral. Then r + s is equal to


2995.

Find the domain of y=1√(|x|−x)

Answer»

Find the domain of y=1(|x|x)

2996.

Pavani has passed BMS degree examination in second class with 58% marks and HSC in first class with 65% marks. She has completed a diploma in Computer Science. She has completed 35 years of age in November 2009.

Answer»

Pavani has passed BMS degree examination in second class with 58% marks and HSC in first class with 65% marks. She has completed a diploma in Computer Science. She has completed 35 years of age in November 2009.


2997.

The figure below is a regular octagon. What fraction of its area is shaded?

Answer»

The figure below is a regular octagon. What fraction of its area is shaded?


2998.

A certain sum of money amounts to Rs7650 in 4years and to Rs 8100 in6 years.find the sum and the rate of interest.

Answer» A certain sum of money amounts to Rs7650 in 4years and to Rs 8100 in6 years.find the sum and the rate of interest.
2999.

Find the remainder when 9400+9401+9402..........9410is divided by 6?

Answer»

Find the remainder when 9400+9401+9402..........9410is divided by 6?


3000.

The fourth term of an A.P. is ten times the first. Prove that the sixth term is four times as greater as second term.

Answer» The fourth term of an A.P. is ten times the first. Prove that the sixth term is four times as greater as second term.