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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.
| 6401. |
Find the number of zeros at the end of the product of 2^222xx5^555 |
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Answer» Solution :Since the number of 2S are less than the number of 5s HENCE the restriction is IMPOSED by the number of 2s. Thus there can be only 222 pairs of `(5xx2)`. Hence the number of zeros at the end product of the GIVEN EXPRESSION will be 222. |
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| 6402. |
P and Q are centres of two circles with radii 9 cm and 2 cm respectively, where PQ = 17 cm, R is the centre of another circle of radius x cm which touches each of the above two circles externally. If angle PRQ = 90^(@), then the value of x is - |
| Answer» Answer :B | |
| 6403. |
Let D be the mid-point of a straight line AB and let C be a point different from D such that AC=BC, then. |
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Answer» `AC BOT AB` |
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| 6404. |
In the previous question what per cent of the time of the morning shift was utilised? |
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Answer» `33.33%` |
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| 6405. |
In a 800 m race ,A gives some start to B and this makes the length of race for B 725 m. What start does B get from A ? |
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Answer» 22 M |
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| 6406. |
The following pie chart shows the hourly distribution (in degrees) of all the major activities of a student.If he spends 1/3 rd time of homework in Mathematics then the no, of hours spends in rest of the subjects in homework |
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Answer» 1 |
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| 6407. |
Each coefficient in the equation ax^2+bx+c=0 is determined by throwing ordinary six faced die. Find the probability that the equation will have real roots. |
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Answer» `34/161` |
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| 6408. |
A water tank is 30 m long, 20 m wide and 12 m deep. It is made of iron sheet which is 3 m wide. The tank is open at the top. If the cost of iron sheet is Rs. 10 per sq m, then the total cost of iron sheet required to build the tank is |
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Answer» RS. 6,000 |
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| 6409. |
Two trains of length 512 m and 528 m are running to wards each other on parallel lines at 84km/h and 60 km/h, respectively. In what time, will they be clear of each other from the moment they meet? |
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Answer» 26s |
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| 6410. |
A car travelling with (5)/(7) of its usual speed covers 42 km in 1 hour 40 min 48 sec. What is the usual speed of the car? |
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Answer» |
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| 6411. |
If a/b= 3/2, then (a ^(2) +b ^(2) )/(a ^(2) - b ^(2)) = ? |
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Answer» `13/5` |
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| 6412. |
The sum and difference of a number with it sreciprocal are 113/56 and 15/56 respectively, the number is : |
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Answer» `11/4` |
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| 6413. |
Two squares are chosen at random on a chessboard, the probability that they have a side in common is: |
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Answer» `3/32` |
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| 6414. |
Two concentric circles with centre P have radii 6.5 cm and 3.3 cm. Through a point A of the larger circle, a tangent is drawn to the smaller circle touching it at B and the larger circle at C. find the length of the tangent |
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Answer» 5.6 CM |
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| 6415. |
Answer on the basis of the following statements. When two straight lines intersect, then : adjacent angles are complementary adjacent angles are supplementary opposite angles are equal opposite angles are supplementary |
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Answer» 2 and 3 are correct |
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| 6416. |
What is the respective ratio of total number of candidates clearing the entrance exam from stateB in the year 2004 to those clearing the entrance exam from state C in the same year? |
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Answer» `221 : 148` |
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| 6417. |
A trader sells two articles, one at a loss of 10% and another at a profit of 15% but finally there is no loss or gain. If the total sale price of these two articles is ₹ 30,000find the difference between their cost prices : |
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Answer» ₹ 5000 |
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| 6418. |
If the number 4 8 3 0 7 * 8 is divisible by divisible by 11, then the missing digit (*) is |
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Answer» 5 |
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| 6419. |
In the given diagram of DeltaABC, angleB=80^(@), angleC=30^(@) BF and CF are the angle bisectors of angleCBD and angleBCE respectively. Find the value of angleBFC : |
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Answer» `110^(@)` |
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| 6420. |
In a barrack of soldiers there was stock of food 190 days, for 4000 soldiers, after 30 days, 800 soldiers left the barrack. For how many days shall the leftover food for the remaining soldiers? |
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Answer» |
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| 6421. |
Ravish writes letters to his five friends and addresses the corresponding envelopes. In how many ways can the letters be placed in the envelopes so that at least two of them are in the wrong envelopes? |
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Answer» A. 120 |
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| 6422. |
If the roots are real and equal.then which of the following is always valid? |
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Answer» 1.`DGT0` |
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| 6423. |
If x + (1)/(x)=1, find x^(103) + x^(100) + x^(90) + x^(87) + x^(60) + x^(57) + x^(9) + x^(6) + x^(3) + 3= |
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Answer» |
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| 6424. |
(35)_(n) , (37)_(n), (45)_(n) and (51)_(n) all are written in base n then the value of n, such that all these four numbers when written in decimal system, then must be the cnsecutive prime numbers: |
| Answer» Answer :A | |
| 6425. |
Find the remainder in expression– (1234 xx 12345 )/(9) |
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Answer» 6 |
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| 6426. |
Find the value of 1^(3) + 3^(3) + 5^(3) + 7^(3) + …….. + 29^(3) |
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Answer» 36100 |
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| 6427. |
A tank was full of pure milk. Half of milk was sold and then the tank was refilled with water. Again half of milk (mixture) was sold and the tank was refilled with water and now for the third time half of milk was sold and tank was refilled with water. In the last what will be the percentage of milk? |
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Answer» |
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| 6428. |
If a rectangle and a parallelogram are equal in area and have the same base and are situated on the same side, then the ratio of perimeter of rectangle and that of parallelogram is k, then k is : |
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Answer» `K GT 1` |
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| 6429. |
If ""^(n-1)C_r=(k^2-3)""^nC_(r+1), then kin : |
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Answer» `(-ALPHA -2]` |
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| 6430. |
If a six digit number is formed by repeating a three digit number (e.g. 656656, 214214), then that number will be divisible by : |
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Answer» Only 7 |
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| 6431. |
A line passing through the points A(2, -3) and B(6, 3). Find the slope of the line which is perpendicular to AB : |
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Answer» `-4/3` |
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| 6432. |
In a 600 m race Prabhat has a start of 200 m and the ratio of speeds of prabhatand Nishith is 4:5 then the distance by which prabhat wins by: |
| Answer» Answer :A | |
| 6433. |
Let T_rbe the rth term of an A.P., for r=1,2,3,If for some positive integers m ,n ,we have T_m=1/na n dT_n=1/m ,t h e nT_(m n)equals1/(m n)b. 1/m+1/nc. 1d. 0 |
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Answer» 1/mn |
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| 6434. |
A and B can do a work in 15 days and 20 days respectively B started the work and they work on alternate days. Find the number of days it will take them to complete the work. |
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Answer» |
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| 6435. |
A sum of Rs. 427 is to be divided among A, B and C in such a way that 3 times A’s share, 4 times B’s share and 7 times C’s share are all equal. The share of C is ? |
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Answer» A) 64 |
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| 6436. |
A dishonest milkman buy 40 lt milk at Rs. 193/lt and mixed some water to this milk and then sold itRs. 193 /lt and gains 25 % profit. Find the quantity of water that he mixed. |
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Answer» |
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| 6437. |
If a cone is cut into two parts by a horizontal plane passing through the mid point of its axis , the ratio of the volumes of the upper part and the frustum is : |
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Answer» `1:1` |
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| 6438. |
A merchant marks his goods at ₹ 900 and allows a discount of 25%'. If he still gain 12.5%, then the cost price of the article is : |
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Answer» ₹ 500 |
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| 6440. |
2 men or 5 women or 7 boys can finish a work in 469 days. then the number of days taken by 7 men, 5 women and 2 boys to finish the work is : |
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Answer» 134 |
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| 6441. |
Rahul gets 34% of the full marks in an exam and fails by 90 marks. Rishi gets 36% of the marks in the same exam and also fails by 72 marks. What is the minimum percentage of marks a student should obtain to pass the exam. |
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Answer» a.45 |
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| 6442. |
2 women and 10 children together take 8 days to complete a piece of work. How many days will 10 children alone take to complete the piece of work if 8 women alone can complete the piece of work in 6 days ? |
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Answer» 15 `THEREFORE` 2 women can do same work in `(8xx6)/2 = 24` days `therefore` 2 women can do 1/24 work in 1 DAY. `therefore` (2 women + 10 children) can do a work in 8 days. `therefore` (2 women + 10 children)'s 1 days work 1/8 10 Children 1 day work `=1/8-1/24=1/12` work Hence 10 children can do same work in 12 days. |
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| 6443. |
Divide 14 toffees among Ankita and Anshual on the ratio 5:2. |
Answer» Solution :According to the QUESTION, if there are 7 toffees then ANKITA will have 5 and Anshul will have 2 toffees but since there are 14 toffees, which is TWICE of 7. So Ankita will have 10 toffees and Anshul will have 4 toffees.
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| 6444. |
A train of length 100 m takes 1/6 minute to pass over another train 150 m long coming from the opposite direction if the speed of first train is 60 km/h the speed of the second train is: |
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Answer» 45 km/h |
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| 6445. |
A, B and C participated in a race. A covers the same distance in 49 steps, as B covers in 50 steps and C in 51 steps. A takes 10 steps in the same time as B takes 9 steps and C takes 8 steps. Who is the winner of the race? |
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Answer» A |
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| 6446. |
If A=(1,2,3),B=(2,3,4) and AB is produced upto C such that 2AB=BC, then C= |
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Answer» A. (5,4,6) |
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| 6447. |
Which one of the following is correct? (i) (123)^(369) > (369)^(123) "" (II) (246)^(642) < (642)^(246) (iii) (50)^(50!) = (50!)^(50) "" (iv) 3^(4^(5)) > 5^(4^(3)) |
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Answer» (i) and (II) |
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| 6448. |
Which of the following are correct statements about C_(2)H_(5)Br. |
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Answer» (i), (III) and (IV) only |
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| 6449. |
Solve the following problems independently of each otherIf 6 straight lines be drawn in a plane such that no two of them being parallel and no three of them being concurrent, the maximum number of regions into which this plane will be divided |
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Answer» 30 |
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| 6450. |
sin36^(@).sin72^(@).sin108^(@).sin144^(@)=? |
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Answer» `(5)/(16)` |
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