# If (x + z) (x – 2y + z) = (x – z)2, where x, y and z are all real and distinct, then

1.  x, y and z are in A.P

2.  1/x, 1/y and 1/z are in A.P

3.  x, y and z are in G.P

4.  None  of  these

4

1/x, 1/y and 1/z are in A.P

Explanation :
No Explanation available for this question

# Mona and Sona start simultaneously from two towns, P and Q, towards Q and P respectively at 8:00 a.m. R is a checkpost which is midway between P and Q. Both Mona and Sona turn back towards their respective starting points whenever they reach R and every time they reach their starting points they turn back and return to R. If the speeds of Mona and Sona are 45 km/hr and 60 km/hr respectively and PQ = 24 km, when will they reach R at the same time

1.  10:24 a.m.

2.  11:36 a.m.

3.  2:12 p.m.

4.  None of these

4

None of these

Explanation :
No Explanation available for this question

# How many three digit numbers are there such that one of the digits is the arithmetic mean of the other two

1.  120

2.  112

3.  121

4.  129

4

121

Explanation :
No Explanation available for this question

# ABCD is a rhombus with O as its centre. P, Q and R are three ants travelling from A to C along the paths AOC, ADC and ABOC respectively. All the three ants leave A at the same time and reach C simultaneously. The ratio of the speeds of P and R is 2 : 3. If all the three ants travelled along the path ADOC, what will be the ratio of their travelling times

1.  4 : 5 : 6

2.  6 : 5 : 4

3.  15 : 12 : 10

4.  Cannot be determined

4

15 : 12 : 10

Explanation :
No Explanation available for this question

# What is the sum of the total surface areas of all the cubes formed when a cuboid of size  5.2 m x 13 m x 39 m is cut completely into the least possible number of cubes, all of which are identical

1.  6164 sq.m

2.  30452 sq.m

3.  6760 sq.m

4.  6084 sq.m

4

6084 sq.m

Explanation :
No Explanation available for this question

# A, B and C have a few chocolates among themselves. A gives to each of the other two half the number chocolates they already have. Similarly B and C (in that order) give each of the other two half the number of chocolates each of them already has. Now, if each of them has the same number of chocolates, what could be the minimum number of chocolates they have among themselves

1.  243

2.  81

3.  27

4.  None of these

4

81

Explanation :
No Explanation available for this question

# Amar, Akbar and Antony decide to go for a cycling race, for which they first have a practice race on a racetrack OR. P and Q are points on the track between O and R such that OP : PQ : QR is 1 : 2 : 3. The ratio of the speeds with which Amar, Akbar and Antony covered the leg OP is 2 :3: 4, while for the leg PQ it is 3 : 4 : 2 and for the leg QR it is 4 : 2 : 3. If the ratio of the speeds with which Amar covered the legs OP, PQ and QR is 2 : 3 : 4, who among Amar, Akbar and Antony completed the practice race first

1.  Amar

2.  Akbar

3.  Antony

4.  Cannot be determined

4

Amar

Explanation :
No Explanation available for this question

# A transport agency has 5 carriers, each of capacity 10 tonnes. The carriers are scheduled such that the first makes a trip every day, the second makes a trip every second day, the third makes a trip every third day and so on. Find the maximum number of times inan year that it is possible to dispatch a total shipment of 50 tonnes in a single day, if all the carriers started their operations on 7th of January and continued till the end of the year i.e. 31st of December, without any holidays.

1.  5

2.  72

3.  6

4.  7

4

6

Explanation :
No Explanation available for this question

# The two series a1, a2, ……… and b1, b2, ……. are two arithmetic progressions, where a1+ b1= 100 and a24– a21= b97– b100.  Find the sum of the 100 terms  (a1+ b100), (a2+ b99),…………. (a100+ b1).

1.  0

2.  9900

3.  9090

4.  10,000

4

10,000

Explanation :
No Explanation available for this question

1.  9

2.  19

3.  39

4.  59

4