# If l + m + n=0, which of the following conditions must l, m and n satisfy so that the system of simultaneous linear equations x + 3y -4z = l, 2x - y - z = m, x + y - 2z = n has at least one

1.  3l - 2m + 7n = 0

2.  3l - 2m - 7n = 0

3.  3l + 2m - 7n = 0

4.  2l + 3m + 7n = 0

5.  2l + 3m - 7n = 0

5

2l + 3m + 7n = 0

Explanation :
No Explanation available for this question

# There are n terms in an arithmetic progression. The n terms of the arithmetic progression are now distributed into eight sub-series - S1, S2and S8 - as follows. The 1st, 9th, 17th terms and so on go into S1; the 2nd, 10th, 18th terms and so on go into S2; the 3st, 11th, 19th terms and so on go into S3, and so on for S4 till S8. If for exactly three of the eight sub-series, the average of the sub-series is a term of the same sub-series, which of the following could be a possible value of n

1.  37

2.  53

3.  49

4.  50

5.  51

5

51

Explanation :
No Explanation available for this question

# What is the minimum value of the expression 2x2 + 3y2 - 4x - 12y+ 18

1.  18

2.  10

3.  4

4.  0

5.  -10

5

4

Explanation :
No Explanation available for this question

# One day the king summoned all the soldiers in his army and made them stand in a queue. To the first soldier, he gave three gold coins and to every subsequent soldier, he gave four gold coins more than what he gave to the previous soldier. Then the king ordered each soldier to distribute all the coins that he received among the peasants, if and only if it is possible to distribute the coins such that each peasant to whom the soldier distributes gets as many coins as the number of peasants to whom the soldier distributes the coins. If no two soldiers were allowed to distribute coins to the same peasant and there were a total of 4000 soldiers in the king's army, how many peasants received at least one gold coin

1.  386

2.  284

3.  576

4.  4000

5.  None of these

5

None of these

Explanation :
No Explanation available for this question

# Two cyclists, Arjun and Bhim, started towards O from P and Q respectively, along the path shown below, in opposite directions. They met for the first time at 9:00 a.m. at O. At this moment, they reversed their directions but maintained their respective initial speeds and met for the second time at 10:30 a.m., following which Arjun reached O for the second time 75 minutes after Bhim reached O for the second time. What is the ratio of the speeds of Arjun and Bhim

1.  1:2

2.   2:3

3.  3:4

4.  1:3

5.  Cannot be determined

5

2:3

Explanation :
No Explanation available for this question

# Which of the following is NOT a possible number of regions into which three straight lines (of infinite extent) can divide a plane

1.  7

2.  6

3.  5

4.  4

5.   None of these

5

5

Explanation :
No Explanation available for this question

# The product of three numbers is 1620. If the HCF of any two out of the three numbers is 3, what is their LCM

1.  180

2.  135

3.  90

4.  270

5.  288

5

180

Explanation :
No Explanation available for this question

# If the total number of ants and beetles initially is 13 and 27 respectively, then the total number of survivors after the two files completely cross each other is

1.  18

2.  19

3.  22

4.  20

5.  None of these

5

None of these

Explanation :
No Explanation available for this question

# If the size of the file of ants is 13, then the minimum file size of the beetles such that the casualties on either side are the same is

1.  33

2.  35

3.  32

4.  31

5.  39

5

35

Explanation :
No Explanation available for this question

1.  90m

2.  100m

3.  120m

4.  140m

4