Multiple Choice QuestionsThe average of five consecutive positive integers is n. If the next two integers are also included, the average of all these integers will
increase by 1.5
increase by 1
remain the same
remain the same
If a hemisphere is melted and four spheres of equal volume are made, the radius of each sphere will be equal to
th of the radius of the hemisphere
radius of the hemisphere
of the radius of the hemisphere
of the radius of the hemisphere
If a shopkeeper wants to give 20% discount on a toy, he has to sell it for Rs.300. If he sells it at Rs. 405, then his gain percent is
5%
4%
8%
8%
The average age of 30 students of a class is 14 years 4 months. After admission of 5 new students in the class the average becomes 13 years 9 months. The youngest one of the five new students is 9 years 11 months old. The average age of the remaining 4 new students is
11 years 2 months
13 years 6 months
12 years 4 months
12 years 4 months
AD is perpendicular to the internal bisector of 
of Δ ABC. DE is drawn through D and Parallel to BC to meet AC at E. If the length of AC is 12 cm, then the length of AE (in cm.) is
3
8
4
4
The unit digit in the product (2467)153 x (341)172 is
7
8
4
4
A.
7
Unit digit in (2467)153
Cancel all (power digits except unit & ten's digit) and take it power to unit digit
Thus, we can write (7)53,
Now divide power 53 by 4, we get remainder 1. Make this remainder the power of (7) i.e. (7)1 = 7
∴ Unit digit in (2467)153 = 7 ...(i)
Similarly,
(341)72 = (1)72 on dividing power 72 by 4 we get remainder zero, when remainder is zero, take power 4
i.e. (1)4 = 1
∴ Unit digit in (341)72 = 1 ...(ii)
∴ Unit digit (2467)153 x (341)72 = 7 x 1 = 7
There is a wooden sphere of radius 
The surface area of the largest possible cube cut out from the sphere will be
864 cm2
462 cm2
462 cm2
A cylinder with base radius 8 cm and height 2cm is melted to form a cone of height 6 cm. The radius of the cone will be
6 cm
8 cm
4 cm
4 cm
Switch
, then the value of tan θ is (θ is acute)
