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A ramp makes an angle of 60 degrees with the ground. If I walk up 200 metres on the ramp, at what height from the ground will I reach?


A100 m

B200 m

C150 m

D173.2 m

E120 m

Answer: Option D

Explanation:

Since 200 metres is travelled along the ramp,
Hypotenuse =200
Angle given = 60 degree
Therefore applying trigonometry,
sine x = Hypotenuse/height [Formula]
sin 60 = 200/h
Therefore, h=(sqrt(3)/2)*200=173.2 metres.

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Consider the series A9GCDE5KP. If every letter in the series represents a number and the sum of any three consecutive terms in the series is 20, what number does P stand for?


A8

B9

C5

D6

E7

 View Answer |  Submit Your Solution | Topic: Uncategorized| Asked In TCS |

Answer: Option D

Explanation:

9+G+C=20
G+C=11

G+C+D=20
D=9

D+E+5=20
E=6

E+5+K=20
K=9

5+K+P=20
P=6

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22
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If you deposit Rs. 110 in a bank at a simple interest of 12% per year, how much money will you have in the bank after 2 years?


A134

B136.4

C26.4

D24

E136

Answer: Option B

Explanation:

SI=PTR/100
SI=(110*2*12)/100
SI=26.4
Total amount aftr 2 yrs=P+SI=110+26.4=136.4

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In how many possible ways can you write 1800 as a product of 3 positive integers a,b and c.


A340

B360

C260

D45

Answer: Option B

Explanation:

Formula (n+r-1) C (r-1)
where n=power
r=no of integers
1800=3^2*5^2*2^3
hence (2+3-1) C (3-1)=6
(2+3-1) C (3-1)=6
(3+3-1) C (3-1)=10
=> 6*6*10=360

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An ant smartly moves across a staircase taking the shortest distance. Calculate the distance it takes to reach top to B from A. Given that staircase consist of 2 steps. It also known that the length,breadth and height is 6cm,2cm and 1cm respectively.


A3

B6 _/3

C6 _/2

DNone of these

Answer: Option C

Explanation:

Assume there is a staircase with 2 steps length = 6cm and breadth and height are 1 and 2
so the shortest distance is from left end of the 1st step to right end of the 2nd step which forms a right angled triangle, triangle side are AB, AC and BC.
By using pythagoras theorem,
AC^2 = AB^2+BC^2
AC^2 = 6^2+(2+1+2+1)^2 [height + breath of 2 steps]
AC^2 = 36+36
AC = 6 _/ 2

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Ramesh is taller than Suresh but not as tall as Vignesh. Harish is shorter than Suresh. Girish is not as tall as Ramesh. Rajesh is taller than Harish. Which of these could be the shortest guy?


ARamesh

BVignesh

CSuresh

DRajesh

EGirish

Answer: Option E

Explanation:

Ramesh > Suresh
Harish < Suresh
Rajesh > Harish
Vignesh >Ramesh > Suresh>Rajesh > Harish>Girish

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22
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A is twice as good a workman as B and together they finish a piece of work in 18 days. In how many days will A alone finish the work


A7 days

B21 days

C27 days

DNone of these

Answer: Option C

Explanation:

assume B completes 1unit of work per day.
=>A completes 2 units per day
=>both A and B complete 3 units per day
=>total units of work=3u*18=54 units
=> ANS :no of days for A alone=54/2 = 27 days

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Find the last digit of the following expression:
4+9^2+4^3+9^4+4^5+9^6+....+9^100


A0

B1

C3

D7

ENone of these

Answer: Option A

Explanation:

Last digit of 4^1 = 4 ; 4^3 = 4 ; 4^5= 4....
So, 99 = 1+(n-1)*2 n = 50 i.e. 4+4+4....50 times i.e. 4*50 = 200 (last digit 0)
Similarly, last digit of 9^2=1 ; 9^4 = 1....
So, 100 = 2+(n-1)*2 n=50 i.e. 9+9+9+....50 times i.e. 9*50 = 450 (last digit 0)
So, 200+450 = 650 i.e. last digit is '0'.

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Two cards are drawn at random from an ordinary pack of cards . Find the probability that they will consist of a king


A1/52

B1/1326

C1/221

DNone of these

Answer: Option C

Explanation:

Sample space is 50C2 which is equal to 1326. Events of getting 2 kings out of 4 is 4C2 which is equals to 6. So probability of getting two kings is 6/1326 = 1/221.

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Average age of 22 students is 21 years, if avreage is increased by 1 then teacher included what is the age of teacher


A34

B44

C23

DNone of these

Answer: Option B

Explanation:

total age of students = 22 x 21 = 462
if teacher is included no of persons will be 23 avg will be 22 yrs
total age (if teacher included) = 23 x 22 = 506
Age of teacher = 506 - 462 = 44

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