This section includes InterviewSolutions, each offering curated multiple-choice questions to sharpen your knowledge and support exam preparation. Choose a topic below to get started.
| 551. |
If three consecutive numbers are selected randomly from the first 100 natural numbers, then what is the probability that their product of the three numbers is divisible by 24? |
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Answer» If three consecutive numbers are selected randomly from the first 100 natural numbers, then what is the probability that their product of the three numbers is divisible by 24? |
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| 552. |
number of five digit numbers that have exactly three 5's is |
| Answer» number of five digit numbers that have exactly three 5's is | |
| 553. |
25.If vertices of a triangle ABC are A(0,0) B(1,0) and C(0,1) then prove that triangle ABC is right angled triangle. Also find the coordinates of its orthocentre. |
| Answer» 25.If vertices of a triangle ABC are A(0,0) B(1,0) and C(0,1) then prove that triangle ABC is right angled triangle. Also find the coordinates of its orthocentre. | |
| 554. |
Q 16/33 A bus is moving with a speed of 10 ms-1 ona straight road. A scooterist wishes to overtake thebus in 100 s. If the bus is at a distance of 1 km fromthe scooterist, with what speed should the scooteristchase the bus? |
| Answer» Q 16/33 A bus is moving with a speed of 10 ms-1 ona straight road. A scooterist wishes to overtake thebus in 100 s. If the bus is at a distance of 1 km fromthe scooterist, with what speed should the scooteristchase the bus? | |
| 555. |
Q. Read the following instructions: Which of the following means that C is the son of M? Q. निम्नलिखित निर्देशों को पढ़ें: निम्नलिखित में से किसका अर्थ है कि C, M का पुत्र है? |
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Answer» Q. Read the following instructions: Which of the following means that C is the son of M?Q. निम्नलिखित निर्देशों को पढ़ें: निम्नलिखित में से किसका अर्थ है कि C, M का पुत्र है? |
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| 556. |
P and Q were partners in a firm. Pass journal entries for the following transactions on dissolution of the firm after various assets and external liabilities have been transferred to Realisation A/c : (i) X, an unrecorded creditor of Rs. 10,000 was paid by partner P at a discount of 20%. (ii) Y, an unrecorded creditor of Rs. 25,000, took over Computer at Rs. 30,000. Balance was paid by him in cash. (iii) Computer of Rs. 25,000 and a Vehicle of Rs. 10,000 were appearing in the Balance Sheet but no other additional information was given regarding these items. (iv) A creditor to whom Rs. 10,000 were to be paid accepted an unrecorded asset of Rs. 15,000 in full settlement of his claim. (v) An unrecorded asset of Rs. 35,000 was given to an unrecorded creditor of Rs. 50,000 in settlement of his claim of Rs. 30,000 and the balance was paid to him in cash. (vi) P's loan was appearing on the liabilities side of the Balance Sheet at Rs. 50,000. He accepted an unrecorded asset of Rs. 40,000 at Rs. 35,000 and the balance was paid to him in Cash. |
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Answer» P and Q were partners in a firm. Pass journal entries for the following transactions on dissolution of the firm after various assets and external liabilities have been transferred to Realisation A/c : (i) X, an unrecorded creditor of Rs. 10,000 was paid by partner P at a discount of 20%. (ii) Y, an unrecorded creditor of Rs. 25,000, took over Computer at Rs. 30,000. Balance was paid by him in cash. (iii) Computer of Rs. 25,000 and a Vehicle of Rs. 10,000 were appearing in the Balance Sheet but no other additional information was given regarding these items. (iv) A creditor to whom Rs. 10,000 were to be paid accepted an unrecorded asset of Rs. 15,000 in full settlement of his claim. (v) An unrecorded asset of Rs. 35,000 was given to an unrecorded creditor of Rs. 50,000 in settlement of his claim of Rs. 30,000 and the balance was paid to him in cash. (vi) P's loan was appearing on the liabilities side of the Balance Sheet at Rs. 50,000. He accepted an unrecorded asset of Rs. 40,000 at Rs. 35,000 and the balance was paid to him in Cash. |
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| 557. |
Q16. Ram walks 10 metres south from his house, turns left, and walks 25 metres, again turns left and walks 40 metres, then turns right and walks 5 metres to reach the school. In which direction is the school from his house? |
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Answer» Q16. Ram walks 10 metres south from his house, turns left, and walks 25 metres, again turns left and walks 40 metres, then turns right and walks 5 metres to reach the school. In which direction is the school from his house? |
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| 558. |
A fair die is tossed repeatedly until a six is obtained. Let X denote the number of tosses required. The probability that X=3 equals |
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Answer» A fair die is tossed repeatedly until a six is obtained. Let X denote the number of tosses required. The probability that X=3 equals |
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| 559. |
Which of the following is the difference between the number of adult females in the cities A and D? |
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Answer» Which of the following is the difference between the number of adult females in the cities A and D? |
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| 560. |
In the given figure, MN is the common tangent to both the inner circles with M and N lying on the circumference of the biggest circle. MN=16. The centers of the smaller circles lie on the diameter of the biggest circle. Find the area of the shaded region |
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Answer» In the given figure, MN is the common tangent to both the inner circles with M and N lying on the circumference of the biggest circle. MN=16. The centers of the smaller circles lie on the diameter of the biggest circle. Find the area of the shaded region |
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| 561. |
A certain clock marks every hour by striking a number of times equal to the hour and the time required for a stroke is exactly equal to the time interval between strokes. At 9 : 00 a.m. the time lapse between the beginning of the first stroke and the end of the last stroke is 34 seconds. At 18 : 00 hrs. how many seconds elapse between the beginning of the first stroke and the end of the last stroke: |
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Answer» A certain clock marks every hour by striking a number of times equal to the hour and the time required for a stroke is exactly equal to the time interval between strokes. At 9 : 00 a.m. the time lapse between the beginning of the first stroke and the end of the last stroke is 34 seconds. At 18 : 00 hrs. how many seconds elapse between the beginning of the first stroke and the end of the last stroke: |
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| 562. |
For how many of the five products is the cost per unit more than the average cost of all the given products? |
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Answer» For how many of the five products is the cost per unit more than the average cost of all the given products? |
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| 563. |
A die is thrown twice and the sum of the numbers appearing is observed to be 9. What is the conditional probability that the number 4 has appeared at least once? |
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Answer» A die is thrown twice and the sum of the numbers appearing is observed to be 9. What is the conditional probability that the number 4 has appeared at least once? |
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| 564. |
If three positive real numbers x, y, z satisfy y - x = z - y and xyz = 4, then what is the minimum possible value of y ? |
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Answer» If three positive real numbers x, y, z satisfy y - x = z - y and xyz = 4, then what is the minimum possible value of y ? |
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| 565. |
Question 7 (i)In which of the following situations, do the lists of numbers involved form an AP? Give reasons for your answers.The fee charged from a student every month by a school for the whole session, when the monthly fee is Rs. 400. |
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Answer» Question 7 (i) In which of the following situations, do the lists of numbers involved form an AP? Give reasons for your answers. The fee charged from a student every month by a school for the whole session, when the monthly fee is Rs. 400. |
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| 566. |
415×313+?=20% of 120 |
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Answer» 415×313+?=20% of 120 |
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| 567. |
If a13+b13+c13=0 then (a+b+c)3=27abc how? |
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Answer» If a13+b13+c13=0 then (a+b+c)3=27abc how? |
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| 568. |
(19)2.5×(19)x=(19)5×(19)−1.5. Find x. |
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Answer» (19)2.5×(19)x=(19)5×(19)−1.5. Find x. |
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| 569. |
Question 3Draw the graphs of the equations x = 3, x = 5 and 2x – y – 4 = 0. Also find the area of the quadrilateral formed by the lines and the X – axis |
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Answer» Question 3 Draw the graphs of the equations x = 3, x = 5 and 2x – y – 4 = 0. Also find the area of the quadrilateral formed by the lines and the X – axis |
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| 570. |
The sum of the sequence Sn=(1(2∗3∗4))+(1(3∗4∗5)) + ........ till 21 terms is |
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Answer» The sum of the sequence Sn=(1(2∗3∗4))+(1(3∗4∗5)) + ........ till 21 terms is |
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| 571. |
How to make 999 into Roman number. |
| Answer» How to make 999 into Roman number. | |
| 572. |
Ramesh writes down the first 2018 positive integers in order 1,2,3,…,2018. Then for each power of 2 that appears, he crosses out that number as well as the number 1 greater than that power of 2. After he is done, how many numbers are not crossed out? |
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Answer» Ramesh writes down the first 2018 positive integers in order 1,2,3,…,2018. Then for each power of 2 that appears, he crosses out that number as well as the number 1 greater than that power of 2. After he is done, how many numbers are not crossed out? |
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| 573. |
If X and Y are two discrete random variables and H(V) represents the entropy of the variable V, then consider the following relations:Select the correct relations using the codesgiven below.R1:H(X)≥H(X|Y)R2:H(X,Y)≥H(X)+H(Y)R3:H(x)−H(Y)=H(X|y)−H(Y|X) |
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Answer» If X and Y are two discrete random variables and H(V) represents the entropy of the variable V, then consider the following relations:Select the correct relations using the codesgiven below.R1:H(X)≥H(X|Y)R2:H(X,Y)≥H(X)+H(Y)R3:H(x)−H(Y)=H(X|y)−H(Y|X) |
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| 574. |
area of triangle is 60 cm. if sides of triangle become 4 times then find the area of new triangle |
| Answer» area of triangle is 60 cm. if sides of triangle become 4 times then find the area of new triangle | |
| 575. |
Question 7If b = 0, c <0, is it true that the roots of x2 + bx + c = 0 are numerically equal and opposite in sign ? Justify your answer. |
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Answer» Question 7 |
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| 576. |
Rotational symmetry |
| Answer» Rotational symmetry | |
| 577. |
In a didybrid cross between RRYY and rryy, the number of RrYy F2 genotypes will be |
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Answer» In a didybrid cross between RRYY and rryy, the number of RrYy F2 genotypes will be |
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| 578. |
In first 1000 natural numbers, how many numbers exists such that when divided by 7 leaves a remainder of 6? |
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Answer» In first 1000 natural numbers, how many numbers exists such that when divided by 7 leaves a remainder of 6? |
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| 579. |
One litre mixture of CO and CO2 is passed through red-hot charcoal in a tube. The new volume becomes 1.4 L. Fine out the composition of the mixture by volume. |
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Answer» One litre mixture of CO and CO2 is passed through red-hot charcoal in a tube. The new volume becomes 1.4 L. Fine out the composition of the mixture by volume. |
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| 580. |
Enter the correct sequence in the blank provided. 1. How does an average Indian identify himself with Shakespeare? A) Is this not a common story in India? B) King Lear had two ungrateful daughters but he also had a wonderful third daughter who looked after him. C) Its fascinating power politics is seen in every little group in India. D) Take ‘Macbeth’ as a piece for further illustration. 6. Thus there is ample comparison between Shakespeare’s and Indian society at large. ___ |
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Answer» Enter the correct sequence in the blank provided. 1. How does an average Indian identify himself with Shakespeare? A) Is this not a common story in India? B) King Lear had two ungrateful daughters but he also had a wonderful third daughter who looked after him. C) Its fascinating power politics is seen in every little group in India. D) Take ‘Macbeth’ as a piece for further illustration. 6. Thus there is ample comparison between Shakespeare’s and Indian society at large. |
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| 581. |
What is the population of State F in lakhs? |
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Answer» What is the population of State F in lakhs? |
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| 582. |
No. Of nodal plane in sigma*1s, sigma2pz, sigma*2pz |
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Answer» No. Of nodal plane in sigma*1s, sigma2pz, sigma*2pz |
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| 583. |
In the orange garden of Mr. Madhusudan there are 150 orange trees. The number of trees in each row is 5 more than that in each column. Find the number of trees in each row and each column with the help of following flow chart. |
Answer» In the orange garden of Mr. Madhusudan there are 150 orange trees. The number of trees in each row is 5 more than that in each column. Find the number of trees in each row and each column with the help of following flow chart.
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| 584. |
89.Distance between a frog and an insect on a horizontal plane is 5 m. Frog can jump with a maximum speed of 10m/s.g=10 m/s2.Find the minimum number of jumps required by the frog to catch the insect, |
| Answer» 89.Distance between a frog and an insect on a horizontal plane is 5 m. Frog can jump with a maximum speed of 10m/s.g=10 m/s2.Find the minimum number of jumps required by the frog to catch the insect, | |
| 585. |
The maximum number of values of x if |x-2|+|x-4|=2 is(1) 1(2) 2(3) 3(4) Infinitely many |
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Answer» The maximum number of values of x if |x-2|+|x-4|=2 is (1) 1 (2) 2 (3) 3 (4) Infinitely many |
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| 586. |
A bus is moving with a speed of 10 ms-1 on a straight road. A scooterist wishes to overtake the bus in 100s. If athe bus is at a distance of 1 km from the scooterist with what speed should the scooterist chase the bus |
| Answer» A bus is moving with a speed of 10 ms-1 on a straight road. A scooterist wishes to overtake the bus in 100s. If athe bus is at a distance of 1 km from the scooterist with what speed should the scooterist chase the bus | |
| 587. |
[3√2√6−√3−4√3√6−√2−6√8−√12]=? |
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Answer» [3√2√6−√3−4√3√6−√2−6√8−√12]=? |
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| 588. |
The sum of n terms of the series1/(1∗2)+1/(2∗3)+1/(3∗4)+1/(4∗5)+...... |
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Answer» The sum of n terms of the series1/(1∗2)+1/(2∗3)+1/(3∗4)+1/(4∗5)+...... |
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| 589. |
5. A policeman travelling at 75 km/h chases a thief 1500m away from him and travelling at 60 km/h. What is the time taken by the policeman to catch the thief? |
| Answer» 5. A policeman travelling at 75 km/h chases a thief 1500m away from him and travelling at 60 km/h. What is the time taken by the policeman to catch the thief? | |
| 590. |
At the foot of a mountain, the elevation of its summit is 45∘. After ascending 1000 m towards the mountain up a slope of 30∘ inclination, the elevation is found to be 60∘. Find the height of the mountain. |
| Answer» At the foot of a mountain, the elevation of its summit is 45∘. After ascending 1000 m towards the mountain up a slope of 30∘ inclination, the elevation is found to be 60∘. Find the height of the mountain. | |
| 591. |
Which letter occurs the most number of times in the given lines of the poem? |
Answer» Which letter occurs the most number of times in the given lines of the poem?![]() |
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| 592. |
If (x-a)²+(y-a)²=a² ,then prove that (x+yy1)² = 2(y1+1)(x+yy1)(x+y) - (x²+y²)(y1+y)² [Where y1=dy/dx] |
| Answer» If (x-a)²+(y-a)²=a² ,then prove that (x+yy1)² = 2(y1+1)(x+yy1)(x+y) - (x²+y²)(y1+y)² [Where y1=dy/dx] | |
| 593. |
4. The center of a square ABCD is at z = 0, A is z1, then the centroid of ABC, is |
| Answer» 4. The center of a square ABCD is at z = 0, A is z1, then the centroid of ABC, is | |
| 594. |
For the pair of linear equations, px + qy – 1 = 0 (p 2 + q 2)(qx + py) – 2pq = 0 The value of x + y is |
| Answer» For the pair of linear equations, px + qy – 1 = 0 (p 2 + q 2)(qx + py) – 2pq = 0 The value of x + y is | |
| 595. |
Find the sum of the odd numbers between 0 and 50. |
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Answer» Find the sum of the odd numbers between 0 and 50. |
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| 596. |
The conditional probability that x>6 given x≥2 equals |
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Answer» The conditional probability that x>6 given x≥2 equals |
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| 597. |
When a person walks at 45th of his usual speed, he is late by 5 hrs. The usual time is |
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Answer» When a person walks at 45th of his usual speed, he is late by 5 hrs. The usual time is |
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| 598. |
Solve 34+25 |
| Answer» Solve 34+25 | |
| 599. |
From the top of the building and 78.4 M high A ball is thrown horizontally with its a ground the line joining the top of the building to the point where the ball hits the ground makes an angle of 45^° with the horizontal the initial velocity of the ball is |
| Answer» From the top of the building and 78.4 M high A ball is thrown horizontally with its a ground the line joining the top of the building to the point where the ball hits the ground makes an angle of 45^° with the horizontal the initial velocity of the ball is | |
| 600. |
Which of the following cars has/have the highest magnitude of difference with Joy? |
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Answer» Which of the following cars has/have the highest magnitude of difference with Joy? |
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