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A bag contains 5 green, 7 yellow, and 4 red balls. Three balls are drawn at random, find the probability that all the balls are of the same color.
Given: Green ball =5
Yellow ball =7
Red ball =4
Total ball =5+7+4=16
Probability that all the balls are of same colour
Hence, the correct option is (D).
Given:
We know that,
Hence, the correct option is (A).
P can do a piece of work in 15 days and Q in 20 days. With help of R, they finish the work in 5 days. In how many days R alone can do the same work?
P can do a piece of work in 15 days.
Part of work P can do in a day = 1/15
Q can do a piece of work in 20 days.
Part of work Q can do in a day = 1/20
Let, R can do a piece of work in x days.
Part of work R can do in a day = 1/x
P, Q and R together can do the work in 5 days.
∴ R can do a piece of work in 12 days.
Hence, the correct option is (B).
A cricketer scored some runs in his continuous 9 innings. He scored 100 runs in his 10th innings and increases his average by 8 runs. What was the average of his runs at the end of 10th innings?
Let, the average of an inning =x
Total runs scored in 9 innings =9x
Total runs scored in 10 innings =9x + 10
New average
since average increases by 8 ,
Average after 10 innings =20+8=28
Hence, the correct option is (C).
A person buys several fruits at the rate of 16 for Rs 24 and sells them at the rate of 8 for Rs 18. What is his gain percent?
Given: Cost price of 16 fruits = Rs 24
Sale price of 8 fruits = Rs 18
∴ Sale price of 16 fruits = Rs 36
Profit = Sale price − Cost price
= 36  24 = Rs 12
Thus, required gain percent
Hence, the correct option is (A).
Find the simple interest on Rs. 3000 at 25/4% per annum for the period from 4th Feb, 2005 to 18th April, 2005.
Given:
Time = 4th Feb, 2005 to 18th April, 2005
= (24+ 31+18)days = 73 days
= 73/365 year = 1/5 year
P= Rs. 3000 and R = 25/4% p.a
Hence, the correct option is (D).
Direction: In following alphabet series, one term missing as shown by question mark. Choose missing term from options.
SGU, VJX, ?, BPD, ESG
This question follows the following pattern:
So, YMA is the missing term in the series.
Hence, the correct option is (B).
Select the correct option that will fill in the blank and complete the series.
2, 3, 11, 38, __, 227, 443
Given series:
2, 3, 11, 38, __, 227, 443
The pattern followed is,
2 + 1^{3} = 3
3 + 2^{3} = 11
11 + 3^{3} = 38
38 + 4^{3} = 102
102 + 5^{3} = 227
227 + 6^{3} = 443
Hence, the correct option is (C).
Find the odd word from the given alternatives.
Each of the Teacher, Doctor and Lawyer can work independently but the Manager needs to be associated to a company whether his own or owned by someone else.
Hence, the correct option is (D).
The following equation is incorrect. Which two signs should be interchanged to correct the equation?
18 ÷ 2  25 × 9 + 6 = 38
Given:
18 ÷ 2  25 × 9 + 6 = 38
(A) + and × → 18 ÷ 2 – 25 + 9 × 6 = 38
(B) + and ÷ → 18 + 2 – 25 × 9 ÷ 6 =  17.5
(C)  and + → 18 ÷ 2 + 25 × 9 – 6 = 228
(D) ÷ and × → 18 × 2 – 25 ÷ 9 + 6 = 39.2222
Hence, the correct option is (A).
Direction: What will come in place of the question mark (?) in the following number series?
17,18,57,290, ?
The series is:
17×1+1=18
18×3+3=57
57×5+5=290
290×7+7=2037
Hence, the correct option is (C).
A train of length 350 meters can cross a pole and platform of a certain length in 21 seconds and 36 seconds respectively, then what is the length of the platform?
Let the length of the platform and speed of train be x m and y km/h respectively.
According to the question:
y = 60 km/h
And,
x = 250 meters
Hence, the correct option is (B).
In the following question, find out the alternative which will replace the question mark.
Pediatricians : Children :: Podiatrists : ?
Pediatricians care for children from birth to young adulthood.
Similarly, Podiatrists care for problems in ankles and feet.
So, "ankle" is the correct answer.
Hence, the correct option is (A).
Find the minimum number of straight lines required to make the given figure.
We will label the figure as shown below:
The horizontal straight lines are BC,IL,FH and DE, i.e. 4.
The lines sloping to your left are IM,FN,DO and AC, i.e. 4.
The lines sloping to the right are LO,HN,EM and AB, i.e. 4.
Thus, the number of straight lines =3 x 4=12
Hence, the correct option is (B).
In the following question choose the appropriate option from the given alternatives.
Pigeon : Peace : : White flag : ?
Pigeon is a symbol of peace.
Similarly, the white flag is a symbol of surrender.
Hence, the correct option is (C).
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