34692.How many numbers are divisible by 4 between 1 to 100
26
24
28
22
Explanation:
There are 25 numbers which are divisible by 4 till 100. (100/4 = 25). But we should not consider 100 as we are asked to find the numbers between 1 to 100 which are divisible by 4. So answer is 24.
34693.There are 16 people, they divide into four groups, now from those four groups select a team of three members,such that no two members in the team should belong to same group.
262
256
282
280
Explanation:
We can select any three of the 4 groups in $^4C_{3}$ ways. Now from each of these groups we can select 1 person in 4 ways.
So total ways = 4 x 4 x 4 x 4 = 256
34694.7 people have to be selected from 12 men and 3 women, Such that no two women can come together. In how many ways we can select them?
2762
2732
2772
2742
Explanation:
We can select only one woman, and remaining 6 from men.
So $^{12}C_{6} \times ^3C_{1}$ = 2772
34695.Tennis players take part in a tournament. Every player plays twice with each of his opponents. How many games are to be played?
210 games
250 games
260 games
280 games
Explanation:
We can select two teams out of 15 in $^{15}C_{2}$ ways. So each team plays with other team once. Now to play two games, we have to conduct $^{15}C_{2}$ x 2 = 210 games.
34698.Census population of a district in 1981 was 4.54 Lakhs, while in year 2001 it was 7.44 Lakhs. What was the estimated mid-year population of that district in year 2009.
8.4 Lakhs
8.6 Lakhs
8.8 Lakhs
8.2 Lakhs
Explanation:
1981 ? 4.54
2001 ? 7.44
Difference ( year ) = 20
Difference ( population ) = 2.9
So population per year = $\dfrac{20}{20}$ = 0.145
2009 ? x = ?
Hence x = 7.44 + 8 $\times$ 0.145 = 8.6 Lakhs
34699.Find the maximum value of n such that 50! is perfectly divisible by $2520^n$ .
$2520^6$
$2520^4$
$2520^8$
$2520^2$
Explanation:
2520 = $2^3 \times 3^2 \times 5 \times 7$
Here 7 is the Highest prime So find the number of 7s in 50! only.
Number of 7s in 50! =$ \left[\dfrac{50}{7}\right] +\left[ \dfrac{50}{7^2}\right]$ = 7+1 = 8
For n(max) = 8, 50! is perfectly divisible by $2520^8$
34700.A girl leaves from her home. She first walks 30 metres in North-west direction and then 30 metres in South-west direction. Next, she walks 30 metres in South-east direction. Finally, she turns towards her house. In which direction is she moving?
North-east
North-west
South-east
South-west
34701.There is well of depth 30 m and frog is at bottom of the well. He jumps 3 m in one day and falls back 2 m in the same day. How many days will it take for the frog to come out of the well?
28 days
24 days
26 days
22 days
Explanation:
Frog jumps 3 m in day & falls back 2 m at night
so,frog will be 3 - 2 = 1 m up in a day.
Thus, in 27 days it will be 27 m up
On 28th day it will be at top i.e 27 + 3 = 30 m & will not fall down.
34702.Find the next term in the given series 47, 94, 71, 142, 119, 238, _ ?
331 , 360
320 , 340
215 , 430
340 , 360
Explanation:
(47, 94) (71, 142) (119, 238) (X, Y)
47 $\times$ 2 = 94
94 - 23 = 71
71 $\times$ 2=142
142 - 23 = 119
119 $\times$ 2 = 238
238 - 23 = 215
215 $\times$ 2 = 430
So the next 2 terms are 215 , 430
34703.A train leaves Meerut at 5 a.m. and reaches Delhi at 9 a.m. Another train leaves Delhi at 7 a.m. and reaches Meerut at 10.30 a.m. At what time do the two trains travel in order to cross each other ?
6:56 am
8:58 am
7:56 am
4:54 am
Explanation:
Let the total distance be x
So the speed of 1st train is x/4 and 2nd train x/3.5
In 2 hours 1st train covers half of the total distance .
So remaining is only half of the total distance(ie x/2).
34704.`A` and `B` started a business in partnership investing Rs 20000/- and Rs 15000/- respectively. After six months `C` jointed them with Rs 20000/-. What will be B`s share in the total profit of Rs 25000/- earned at the end of two years from the starting of the business?
