Placement Paper 1:

If a and b are odd numbers, then which of the following is even ? A. a + b B. a + b + 1 C. ab D. ab + 2 E. None of these

A.

A man is standing on a railway bridge which is 180 m long. He finds that a train crosses the bridge in 20 seconds but himself in 8 seconds. Find the length of the train and its speed?

Length of the train is 120m, speed is 15 m/s or 54 kmph. Basically, train length is x meters. Train moves x meters in 8 seconds. Train moves (x + 180) meters in 20 seconds. Remember that the train covers a certain distance, then covers the length of itself.

Find the missing figures : (i) ?% of 25 = 20125 (ii) 9% of ? = 63 (iii) 0.25% of ? = 0.04

i) 805% ii) 700 iii) 16

39 persons can repair a road in 12 days, working 5 hours a day. In how many days will 30 persons, working 6 hours a day, complete the work?

13. 39 ppl x 5 hrs of work per person, 195 hrs of work. 30 ppl x 6 hrs of work per person, 180 hours of work. 195/180 multiplied by 12 = 13 days.

The set of all integers x such that |x - 3| < 2 is equal to

{2, 3, 4}.

Sixty five percent of a number is 21 less than four fifth of that number. What is the number ?

-140

3, 8, ?, 24, ?, 48, 63

15, 35. Plus 5/7/9....

A dog takes 4 leaps for every 5 leaps of a hare but 3 leaps of a dog are equal to 4 leaps of the hare. Compare their speeds.

16/15. The dog takes less leaps(4 for every 5 of a hare's), but takes longer ones (every 3 dog leaps are equal to 4 hare leaps).

Arrange the fractions 5/8, 7/12, 13/16, 16/29 and 3/4 in ascending order of magnitude.

16/29, 7/12, 5/8, 3/4, 13/16

A garrison of 3300 men has provisions for 32 days, when given at a rate of 850 grams per head. At the end of 7 days a reinforcement arrives and it was found that now the provisions will last 8 days less, when given at the rate of 825 grams per head. How many more men can it feed?

1700. Find initial resource amount, how many used after 7 days, then how many soldiers added required to use up said resource amount in remaining number of days.

123 135 148 160 173 ...

185. Plus 12, plus 13, plus 12, plus 13, so on.

If 'P + Q' means 'P is the brother of Q'; 'P × Q' means 'P is the father of Q', 'P ÷ Q' means 'P is the mother of Q'; which of the following would mean 'R is the son of M'?

(M / R) * S.

A train running at 72 kms per hour crosses a coconut tree standing by the side of the track in 7 seconds.The length of the train is:

140 m!

If 3*2=46 2*5=104 4*3=68 then 4*7=?

148. Another number trick. Reverse digits then multiply by 2.

5, 6, 7, 8, 10, 11, 14, ?, ?

15, 19. Interleaved increasing series. (+2, +3.. and so on).

If two pipes function simultaneously, the reservoir will be filled in 12 hours. One pipe fills the reservoir 10 hours faster than the other. How many hours does it take the second pipe to fill the reservoir?

30. Same invert, but realize that since one pipe is 10 hours faster than the other and what's needed is work done per hour. You'll have to take the factorial here, so remember that dumb cross rule. Last number at the top, second number in the bottom. Multiply to get top and add to get bottom.

4/15 of 5/7 of a number is greater than 4/9 of 2/5 of the same number by 8. What is half of that number?

315.

48, 46, 42, 38, ?

34. (48 - 2) (48 - 6) (48 - 10) (48 - 14). The subtracted number increases by 4, I guess. Rather than difference between all the numbers, can be from the first to find the pattern.

You have plastic chips in your hand which are red on top and blue on the bottom. If you dropped 8 plastic chips, how many would probably land with the red side up?

4.

-972 324 -108 36 -12 ?

4. Divided by negative 3.

A computer printer produces 176400 lines in a given day. If the printer is in operation for 7 hrs during the day how many lines did it print per minute?

420

Two trains 100 meters and 120 meters long are running in the same directions with speed of 72 km/hr and 54 km./hr. When will the first train cross the second?

44 seconds. Why? Think about it. The first train to cross the second, so the first train's bottom is aligned with the second train's top. So basically, add them together then divide by m/s to get the number of seconds for this distance to be crossed.

54, 49, ?, 39, 34

44. Just minus 5, easy series.

Find the wrong number in the following series: 1, 2, 4, 7, 13, 24, 54, 81

54 should be 44. Three numbers add up to create the next digit.

Rajeev can cover a certain distance in 1 hr. 24 min. by covering two-third of the distance at 4 kmph and the rest at 5 kmph. Find the total distance.

6 km. 2/3rds of distance at 4 kmph, 1/3 at 5 kmph, find out total distance covered in 1 hr. 24 mins.

If three numbers are added in pairs, the sums equal 10, 19 and 21. Find the numbers

6, 4, 15. Just used trial and error. To solve with formulas, trick is to sum it all up and realize that when adding pairs, all numbers are added twice. So 2(a + b + c) = 50. And use that to solve the other 3 equations.

The sixth term of a HP is 1/61 and the 10th term is 1/105. The first term of the H.P. is

6. Just add by 11.

A number is as much greater than 36 as is less than 86. Find the number

61. x - 36 = 86 - x

Find out the wrong number in the given sequence of numbers. 1, 2, 6, 15, 31, 56, 91

91 should be 92.

The clinic of a Doctor faces the West. From the backside of his clinic, he walks straight 100 metres then turn to the left and walks 100 metres again. Finally, he turns towards right and stops after walking 50 metres. Now in which direction is Doctor from the starting point?

North-East

T, V, X, Z, ?

B. Skip a letter and go to next, after Z it rolls over A.

Shyam's car gives an average of 20 km per litre,then the difference in the cost of travel per kilometre betweenthe two cars is

Cannot be determined, only one car is mentioned...

If the value of x lies between 0 & 1 which of the following is the largest? A. x C. -x B. x2 D. 1/x

D.

The letters A, B, C, D, E, F and G, not necessarily in that order, stand for seven consecutive integers from 1 to 10. D is 3 less than A B is the middle term F is as much less than B as C is greater than D G is greater than F The fifth integer is.... A is as much greater than F as which integer is less than G If A = 7, the sum of E and G is

EFDBCAG. 5th integer is C. D 10

A is twice as good a workman as B and together they finish a piece in 18 days. In how many days will A alone finish the work?

Inverting concept. 27 days!

Find the total number of prime factors in the expression 4^11 x 7^5 x 11^2.

N = a^p * b^q * c^r 2^22, 7^5, 11^2 22 + 5 + 2 = 29

5 mangoes and 4 oranges cost as much as 3mangoes and 7 oranges. What is the ratio of cost of onemango to the cost of one orange?

One mango is worth 3/2 oranges.

Apartments in the Riverdale Manor cost less than apartments in The Gaslight Commons. Apartments in the Livingston Gate cost more than apartments in the The Gaslight Commons. Of the three apartment buildings, the Livingston Gate costs the most. If the first two statements are true, the third statement is

True.