32) There is a group of 6 people: A, B, C, D, E and F (not necessarily in the same order). D is taller than A and E. F is taller than B and C. E is taller than F. A is taller than F. Which of the following can be the shortest person?
A) C or F
B) B or C
C) A or C
D) B or E
View Answer
B) B or C
Explanation:Let’s break down the given conditions:
»1. D is taller than A and E.
– D is taller than both A and E.
»2. F is taller than B and C.
– F is taller than both B and C.
»3. E is taller than F.
– E is taller than F.
»4. A is taller than F.
– A is taller than F.
Step-by-Step Analysis:
From the above information, let’s start constructing the height order.
– D is taller than A and E, so D > A and D > E.
– F is taller than B and C, so F > B and F > C.
– E is taller than F, so E > F.
– A is taller than F, so A > F.
This means the relative order so far is:
D > A > F > E > B, C
Now, let’s figure out the possible shortest person.
– From the relative height order, B and C are the shortest people in the list.
Conclusion:
The shortest person can be either B or C.
Thus, the correct answer is:
Option 2: B or C.
33) What is the difference in the mode and the mean of the observations?
4, 5, 6, 7, 8, 12, 9, 12, 5, 12
A) 4
B) 4.2
C) 5.1
D) 4.6
View Answer
A) 4
Explanation:To find the difference between the mode and the mean of the given observations, let’s proceed step by step.
Given Observations:
4, 5, 6, 7, 8, 12, 9, 12, 5, 12
Step 1: Find the Mode:
The mode is the number that appears most frequently in the data set.
– The number 12 appears 3 times.
– The numbers 5 and 4 appear twice.
– All other numbers appear once.
Therefore, the mode is 12, as it occurs most frequently.
Step 2: Find the Mean:
The mean is calculated by summing all the values and dividing by the number of observations.
The sum of the observations is:
4 + 5 + 6 + 7 + 8 + 12 + 9 + 12 + 5 + 12 = 80
There are 10 observations.
The mean is:
Step 3: Find the Difference between Mode and Mean:
The mode is 12, and the mean is 8.
The difference is:
Difference = 12 – 8 = 4
34) In the year 2021, DRDO launched which satellite by PSLV-C51 to enhance India’s surveillance capability in the Indian Ocean Region (IOR)?
A) Satish Dhawan Satellite
B) Sindhu Netra Satellite
C) Sindhu Durga Satellite
D) Sri Shakti Satellite
View Answer
B) Sindhu Netra Satellite
35) Select the number from among the given options that can replace the question mark (?) in the following series.
86, 74, 62, 54, ?, 42, 38
A) 50
B) 43
C) 46
D) 44
View Answer
C) 46
Explanation:Shortcut Method
To quickly identify the missing number in the series:
Step 1. Observe the Tens Digits:
– The tens digits decrease by 1 each time:
8 (86), 7 (74), 6 (62), 5 (54), 4 (?), 4 (42), 3 (38)
– The missing tens digit is 4.
Step 2. Predict the Missing Number:
– The missing number is 4_, where the units digit needs to be determined.
Step 3. Check the Units Digits:
– The units digits alternate or follow a pattern:
6, 4, 2, 4, ?, 2, 8
– A reasonable prediction for the missing units digit is 6.
Step 4. Combine Tens and Units Digits:
– The missing number is 46.
