Question
The average of 20 numbers is 75. The average of the
first 12 numbers is 80, while the average of the last 11 numbers is 68. If the 12th number is removed, what will be the average of the remaining 19 numbers?Solution
ATQ, Sum of 20 numbers = 75 × 20 ⇒ 1500 Sum of first 12 numbers = 80 × 12 ⇒ 960 Sum of last 11 numbers = 11 × 68 ⇒ 748 Let the 12th number be x Sum of 20 numbers = Sum of first 12 numbers + Sum of last 11 numbers - 12th number ⇒ 1500 = 960 + 748 - x ⇒ 1500 = 1708 - x ⇒ x = 1708 - 1500 ⇒ x = 208 Sum of remaining numbers = 1500 - 208 ⇒ 1292 Remaining numbers = 19 Average of remaining numbers = 1292 / 19 ⇒ 68
Select the number from among the given options that can replace the question mark (?) in the following series.
18, 27, 34, 39, 42, ?
In a race, Gary ran faster than Jai. Neil ran faster than Jai. Sam ran slower than Gary. Who came first in the race?
Select the Venn diagram that best illustrates the relationship between the following classes.
Dubai, Asia, Africa
Three of the following four are alike in a certain way and so form a group.
Which one does not belong to that group?
Select the Venn diagram that best illustrates the relationship between the following classes.
Vehicle, Car, Motorbike
In a code language, 'PLUMAGE' is written as ‘GICOWNR’ and 'CRUSH' is written as 'JUWTE'. How will 'TRIBAL' be written in that language?
Which of the following letter-clusters will replace the question mark (?) in the given series?
YTM, AQQ, CNU, ?, GHC
Which letter-cluster will replace the question mark (?) and complete the given series?
UZVD, SCTG, ?, OIPM, MLNP
Select the option that is related to the third word in the same way as the second word is related to the first word. (The words must be considered as me...