# In a four-digit number, the sum of the first two digits is four-fifth of the sum of the last two digits, while the sum of the first and last digits equals the sum of the other two digits.If the first digit is less than the second digit, how many such four-digit numbers exist

1.  2

2.  3

3.    4

4.  5

4

3

Explanation :
No Explanation available for this question

# If logn 54=a and logn72=b, find logn 1728 in terms of a and b.

1.  (1/5)(15a – 7b)

2.  (1/7)(15b – 3a)

3.     (1/5)(27a – 3b)

4.  (1/7)(12b - 27a)

4

(1/7)(15b – 3a)

Explanation :
No Explanation available for this question

# In a city, the local shuttle trains start from and arrive at the station at fixed intervals and run at a uniform speed.A boy was walking down the railway track at a certain speed.Every half an hour, a local train overtook him and every 20 minutes, a local train passed him in the opposite direction.Find the time interval between a local train passing a certain point on the railway track and the immediately next local train passing that point in the same direction.

1.  26 minutes

2.  24 minutes

3.    27 minutes

4.  28 minutes

4

24 minutes

Explanation :
No Explanation available for this question

# How many three-digit numbers satisfy all the following conditions I.When divided by 29 or 3, they leave a remainder of 2 in each case. II.When divided by 17 and 38, they leave remainders of 6 and 24 respectively. III.When divided by 18 and 21, they leave remainders of 14 and 8 respectively.

1.  1

2.    2

3.  3

4.  more than three

4

1

Explanation :
No Explanation available for this question

# How many natural numbers less than 1000 can be expressed as the difference of two perfect squares in at least one way

1.  750

2.  811

3.  810

4.  749

4

749

Explanation :
No Explanation available for this question

# Ram has four children whose nicknames are Honey, Sunny, Moni and Bunny.He had a total of 12 mangoes to distribute among them such that each child got at least one mango.Find the number of 'ways of distributing the mangoes such that Bunny receives exactly 5 mangoes.

1.  4

2.  9

3.  15

4.    24

4

15

Explanation :
No Explanation available for this question

# In ΔABC, D is a point on Be.P and Q are points on AS and AC respectively such that DP is perpendicular to AB and DQ is perpendicular to AC.If the altitudes from B to AC and C to AB are 30 cm and 40 cm respectively and DQ = 6, find DP.

1.  24 cm

2.  36 cm

3.    32 cm

4.  Cannot be determined

4

36 cm

Explanation :
No Explanation available for this question

# P and Q are natural numbers. When P is divided by Q, the remainder left is 13.When P is divided by 9Q, the remainder left is 49.Find the remainder when P is divided by 3Q

1.  7

2.  13

3.  49

4.    cannot be determined

4

49

Explanation :
No Explanation available for this question

# If a, b, c, d and e are distinct natural numbers such that a + b+ c + d + e=55, and a2 + b2 + c2 + d2 + e2 =S then

1.  440 ≤ S ≤ 3025

2.  550 ≤ S ≤ 2055

3.  660 ≤ S ≤ 3025

4.  615 ≤ S ≤ 2055

4

615 ≤ S ≤ 2055

Explanation :
No Explanation available for this question

1.  6 m

2.  10 m

3.    10Ö3 m

4.  6Ö3 m

4