Geometry -18 (XAT-2011) (2 Marks)

A 25 ft long ladder is placed against the wall with its base 7 ft from the wall. The base of the ladder is drawn out so that the top comes down by half the distance that the base is drawn out. This distance is in the range:

(1)(2,7)                       (2)(5,8)                       (3)(9,10)         (4)(3,7)                       (5)None of these

Solution follows here:

P&C - 11 (IIFT-2010)

How many subsets of {1,2,3,…11} contain at least one even integer?

Solution follows here:

Arithmetic-21 (IIFT-2009)

A petrol tank at a filling station has a capacity of 400 litres. The attendant sells 40 litres of petrol from the tank to one customer and then replenishes it with kerosene oil. This process is repeated with six customers. What quantity of pure petrol will the seventh customer get when he purchases 40 litres of petrol?
A. 20.50 litres            B. 21.25 litres            C. 24.75 litres            D. 22.40 litres

Solution follows here:

Algebra-25 (IIFT-2009)

The number of distinct terms in the expansion of (X+Y+Z+W)³⁰ is:

(1)4060                      (2)5456                      (3)27405                    (4)46376

Solution follows here:

Progressions-9 (FMS-2010)

Three non-zero numbers a,b,c form an arithmetic progression. Increasing a by 1 or increasing c by 2 results in a geometric progression. Then b equals:

(1)16               (2)14               (3)12               (4)10

Solution follows here:

Geometry-17 (FMS-2010)

Six straight lines are drawn in a plane with no two parallel and no three concurrent. The number of regions in to which they divide the plane is:

 (1)16              (2)20               (3)22               (4)24

Solution follows here:

Arithmetic-20 (FMS-2011)

The times between 7 and 8’O clock, correct to the nearest minute, when the hands of a clock will form an angle of 84 degrees are:

(1)7:23 and 7:53       (2)7:20 and 7:50       (3)7:22 and 7:53       
(4)7:23 and 7:52

Solution follows here:

Profit & Loss

A and B invested capitals in the ratio of 3: 5 to start a business. A is the working partner and B is the sleeping partner. What percentage of total profit may be given as a salary to A, so that the ratio of the profit earned by them is 3: 2?

1)38%             2)24%             3)36%             4)40%             5) None of the above

Solution follows here:

Stocks-2 (SNAP-2008)

Which investment gives a better return, assuming the face value of the shares to be Rs. 10?

A.    5% stock at 75, subject to 30% income tax

B.     4% stock at 90, tax free

a.     B

b.     A

c.      Both A and B

d.     None of these

Solution follows here:

Stocks-1 (FMS-2009)

BSNL offers its share at a premium of Rs 40, where as its par value is Rs 160. Parul Mehra invested Rs 50,000 in this stock. After one year BSNL declared a dividend of 19%. What rate of interest did Ms Mehra receive on her investment?
(A)15.2%        (B)16.2%         (C)19%            (D)19.2%

For answer click on "Read more" below:

Geometry-2 (FMS-2009)

Let each side of a square is 20 cm. Four equal circles, each of radius 10 cm are drawn about the four corners of the square so that each touches two of the others. Find the area enclosed between the circumferences of the circles?

(1)86 sq.cm  (2)314 sq.cm    (3)78 sq.cm        (4)none of these

For answer click on "Read more" below:

Algebra-6 (FMS-2009)

If log₇log₅ (√(x+5) + √x) = 0, what is the value of x?               

(1)2                (2)3                (3)4               (4)5

For answer click on "Read more" below:

Arithmetic-6 (Profit & Loss)(SNAP2008)

A merchant wants to make profit by selling food grains. Which of the following would maximize his profit?

I.  Sell product at 30% profit

II. Increase the price by 15% over the cost price and reduce weight by 15%

III. Use 700gm of weight instead of 1 kg

IV. Mix 30% impurities in grains and sell it at cost price

(A) III

(B)  II and I

(C)  II

(D) All give same profit

Solution follows here:

Geometry -1 (IIFT-2008)

If D is the mid point of side BC of a triangle ABC and AD is the perpendicular to AC then:

(A)  3AC² = BC²-AB²

(B)  3BC² = AC²-3AB²

(C)  BC²+ AC² = 5AB²

(D) None of the above
To enter your answer, click on "comments" below:

Puzzle-8 (SNAP-2008)

In a row at a bus stop, A is 7th from the left and B is 9th from the right. They both interchange their positions. A becomes 11th from the left. How many people are there in the row?
(A)  18        (B)  19           (C)  20        (D) 21
Solution follows here:

Arithmetic -5 (SNAP-2008)

A cyclist drove one kilometer with the wind in his back, in three minutes and drove the same way back against the wind in four minutes. If we assume that the cyclist always puts constant force on the pedals, how much time would it take him to drive one kilometer without wind?

(A)  7/3    (B)  24/7    (C)  17/7    (D) 43/12

Solution follows here:

Progressions - 2 (IIFT-2008)

The interior angles of a polygon are in A.P. If the smallest angle is 120⁰ and common difference is 5⁰, then the number of sides in the polygon is:

(A) 7    (B) 8    (C) 9    (D)None of the above

Solution follows here:

Progressions - 1 (IIFT-2008)

If the positive real numbers a, b and c are in Arithmetic Progression, such that abc = 4, then minimum possible value of b is:

(A)  2^3/2

(B)   2^2/3

(C)   2^1/3

(D)None of the above
Solution follows here:

Arithmetic - 1 (clocks) (SNAP-2008)

A clock looses 12 minutes every 24 hours. It is set right at 7:25 p.m. on Monday. What will be the time when the clock shows 1:45 p.m. the following day? 

                          

(A)  1:20:35 p.m       (B)  1:35:50 p.m       (C) 1:25:35 p.m     (D)none of these

Solution follows here:

P & C - 3 (SNAP-2008)

There are 10 stations on a railway line. The number of different journey tickets that are required by the authorities is 

                          

(A)  10!       (B)  90       (C) 81        (D) 45   (E) 10

Solution follows here: