Jobs By Batch
Jobs By Location
Jobs By Degree
Jobs By Branch
IT Jobs
Internships
Govt. Jobs
Admissions










Placement Updates





Study Material







Q #21
:

Directions: Read the following information to answer the question.

A and B are running a 400 m race (starting at the same time from the same point) After B has travelled 70 m he realizes that he is 30 m behind A, so he increases his speed by certain percentage so as to defeat A by 20 m at the end of the race. Find the percentage increase in speed.

Warning: Undefined array key 4 in /home/illumina/public_html/TyariOnline/tsd/moderate/index.php on line 278
+

Say SA, SB be the speed of A and B respectively. Since they are travelling for

the same time, therefore speed is directly proportional to distance.

SA/SB= 100/70 (by the time B has traveled 70 m A has traveled 100m)

To beat A by 20 m B will have to finish the race, by the time B will complete

380 m i.e., when A covers 280 m B will have to cover 330 m in the same time

so as to finish the race before A.

SA/SB’= 280/330, where SB’is the increased speed of B

SB’/SB = (33 × 10)/(28 × 7)

Now % increase will be {SB’/SA – 1} × 100 = {165/ 98 – 1} × 100 = 6.8%.


Q #22
:

Directions: Read the following information to answer the question.

Balu is a fat man. He jogs every morning at a rate of 6 steps/m. He jogs around track AB and then along BC and distances are in the ratio 18:24 (AB perpendicular to BC). If he returns along path AC to A, the total distance travelled is 48 m. How many steps does Balu take while travelling along AC?

Warning: Undefined array key 4 in /home/illumina/public_html/TyariOnline/tsd/moderate/index.php on line 536
+

18:24 can be reduced to 3:4

As AB and BC are perpendicular, so on ratio scale, value of AC has to be 5.

3 × x + 4 × x + 5 × x = 48 ⇒ 12 × x = 48 ⇒ x = 4.

So, distance along AC is 5 × 4 = 20m.

Number of steps taken are = 20 × 6 = 120 steps.


Q #23
:

Directions: Read the following information to answer the question.

A man rides a distance of 1 km in 4 equal slots. His average speed over first slot is 30 kmph, for 1st & 2nd slot combined it is 24 kmph, for 4th slot it is 40 kmph & for entire journey it is 19.2 kmph. Find his average speed over 2nd & 3rd slot combined?

Warning: Undefined array key 4 in /home/illumina/public_html/TyariOnline/tsd/moderate/index.php on line 791
+

30 kmph 20 kmph 10 kmph 40 kmph

A B C D E

250 m 250 m 250 m 250 m

Average AC = (2 × 30 × x)/(30 + x)

24 = 60x/(30 + x)

x = 20 kmph

Average AE = (Average AC & average CE)

19.2 = (2 × 24 × y)/(24 + y)

y = 16 kmph

Average CE = (2 × 40 × z)/(40 + z)

16 = 80z/(40 + z)

z = 10 kmph

Average BD = (2 × 20 × 10)/(20 + 10) = (400/30) = 13.33 kmph.


Q #24
:

Directions: Read the following information to answer the question.

Ajay and Vijay have a 100 m. swimming race in a 50 m. swimming pool. When Ajay takes a flip turn, he meets Vijay at the 48 m. mark. If Ajay clocks 1 min. 7.2 sec., how much does Vijay clock, assuming that both of them swim with a uniform speed throughout?

Warning: Undefined array key 4 in /home/illumina/public_html/TyariOnline/tsd/moderate/index.php on line 1047
+

When Ajay has covered 52 m., Vijay has covered 48 m in the same time.

∴ Ratio of speeds = (Sa/Sv) = 52/48.

∴ To swim equal distances, the ratio of the time taken by each = (ta/tv) = 48/52.

Since ta = 67.2 sec., tv = 72.8 sec. = 1 min. 12.8 sec.



Warning: Trying to access array offset on null in /home/illumina/public_html/TyariOnline/tsd/moderate/index.php on line 1113

Warning: Trying to access array offset on null in /home/illumina/public_html/TyariOnline/tsd/moderate/index.php on line 1114

Warning: Trying to access array offset on null in /home/illumina/public_html/TyariOnline/tsd/moderate/index.php on line 1116

Warning: Trying to access array offset on null in /home/illumina/public_html/TyariOnline/tsd/moderate/index.php on line 1117

Warning: Trying to access array offset on null in /home/illumina/public_html/TyariOnline/tsd/moderate/index.php on line 1117

Warning: Trying to access array offset on null in /home/illumina/public_html/TyariOnline/tsd/moderate/index.php on line 1117

Warning: Trying to access array offset on null in /home/illumina/public_html/TyariOnline/tsd/moderate/index.php on line 1117

Warning: Trying to access array offset on null in /home/illumina/public_html/TyariOnline/tsd/moderate/index.php on line 1125