The pattern in the series alternates between 3 and a number that increases by 3: 3 | 3 | 3 | 6 | 3 | 9 | 3 | ? The numbers in the positions 2, 4, and 6 (i.e., the non-3 positions) increase by 3: 3 → 6 → 9. Following this, the next non-3 number would logically be 12. Thus, the completed series is: 3 | 3 | 3 | 6 | 3 | 9 | 3 | 12.
A company has 10 members with an average age of 30. A new member aged 40 joins. What is the new average age?
Correct Answer: Option B — 31
Detailed Academic Explanation:
Total age of 10 members = Average × Number of members 30 × 10 = 300 Add the new member's age: 300 + 40 = 340 Total number of members now = 10 + 1 = 11 New average age = Total age ÷ Total members 340 /11 = 30.91 ≈ 31
Communication through gestures , body language, facial expressions, or posture is called non-verbal communication. Additional information : Examples : Waving hand, nodding, shaking head, thumbs up. Non-verbal cues often support or replace verbal messages.
If five cars are parked bumper to bumper, how many bumpers are touching each other?
Correct Answer: Option C — 8
Detailed Academic Explanation:
Each car has 2 bumpers (front and back). 5 cars x 2 bumpers = 10 total bumpers. The front bumper of the first car and the rear bumper of the last car are not touching another car. Therefore, 10 - 2 = 8 bumpers are involved in touching.
Mr. and Mrs. Sajjad have seven daughters. Each daughter has one brother. What is the total number of family members?
Correct Answer: Option B — 10
Detailed Academic Explanation:
Step 1: Count the parents Mr. and Mrs. Sajjad = 2 people Step 2: Count the daughters 7 daughters = 7 people Step 3: Count the sons The problem says “each daughter has one brother.” This does not mean each daughter has a separate brother . All 7 daughters share the same brother → 1 son Step 4: Total family members 2 (parents) + 7 (daughters) + 1 (son) = 10
Which one is different from other? Painting, Sketch, Drawing, Picture
Correct Answer: Option D — Picture
Detailed Academic Explanation:
Painting, Sketch, Drawing → All are forms of hand-made art. - Picture → Typically refers to a photograph or image captured with a camera, not hand-drawn. So, "Picture" is different from the rest.
1 week = 7 days = 168 hours = 10,080 minutes = 604,800 seconds. With respect to the Gregorian calendar: 1 Gregorian calendar year = 52 weeks + 1 day (2 days in a leap year)
If a person is traveling 440 km at an average speed, approximately how much time will it take to cover the distance in 2025?
Correct Answer: Option C — 6hrs
Detailed Academic Explanation:
The average speed, or - Enough info to assume a reasonable speed. Let’s assume an average speed of around 73–75 km/h, which is typical for long-distance travel on highways. Formula: Time = Distance ÷ Speed Time = 440 km ÷ 73.3 km/h ≈ 6 hours
Which of the following sequences is similar to 77677, 76767, 77767?
Correct Answer: Option D — 77677: 76767: 77767
Detailed Academic Explanation:
To determine which sequence is similar to the given sequence 77677: 76767: 77767, we need to identify the pattern and match it to on e of the provided options. Pattern in the Given Sequence (77677: 76767: 77767): The first sequence ( 77677): The digits are primarily "7," with the fourth digit being "6." Se cond sequence (76767) : The digits are primarily "7," with the third digit being "6." Third sequence (77767): The digits are all " 7" except for the fourth digit, which is "6." 7677: 76767: 77767 First sequence: 7677 ( no similarity in length and pattern). Second sequence: 76767 (similar to the second sequence of the given patter n). Third sequence: 77767 ( similar to the third sequence of the given pattern). Conclusion: Option 4 (7677: 76767: 77767) is the sequence most similar to the original sequence 77677: 76767: 77767, as it maintains the same pattern in the second and third sequences, with the only difference being the length of the first sequence.
If BOY is coded as 539 and GIRL is coded as 8627 then how would you encode GLORY?
Correct Answer: Option D — 87329
Detailed Academic Explanation:
From "BOY" = 539 So: - B = 5 - O = 3 - Y = 9 From "GIRL" = 8627 So: - G = 8 - I = 6 - R = 2 - L = 7 Now code GLORY using these values: - G = 8 - L = 7 - O = 3 - R = 2 - Y = 9 So, GLORY = 87329
What is found once in tea, twice in coffee, but never in milk?
Correct Answer: Option D — Letter- E
Detailed Academic Explanation:
The letter E appears once in the word "tea" - It appears twice in "coffee" - It does not appear in "milk." So, the riddle is about letters, not actual ingredients.
Raza ranked ninth from the top and thirty-eight from the bottom in a class. How many students are there in the class
Correct Answer: Option B — 46
Detailed Academic Explanation:
Raza is ranked ninth from the top. That means there are 8 students above Raza. Raza is 38th from the bottom. That means there are 37 students below him. So total students 8 + Raza + 37 = 46 students
How many words can be formed out of the letters of the word, ARTICLE, so that vowels occupy even places?
Correct Answer: Option B — 144
Detailed Academic Explanation:
The word ARTICLE has 7 letters: A, R, T, I, C, L, E Vowels = A, I, E (3 vowels) Consonants = R, T, C, L (4 consonants) Even positions in a 7-letter word: 2, 4, 6 → 3 even positions Step 1: Place vowels in even positions We have 3 vowels and 3 even positions → Number of ways = 3! = 6 Step 2: Place consonants in the remaining 4 positions → Number of ways = 4! = 24 Step 3: Total number of words = 3! × 4! = 6 × 24 = 144
Two numbers 4:5 having LCM=180. What is smallest no.
Correct Answer: Option C — 36
Detailed Academic Explanation:
Let two numbers be 4x and 5x Their LCM = 180 and HCF = x Now, 1st number × 2nd number = LCM × HCF Or, 4x × 5x = 180 × x Or, 20x = 180 Or, x = 9 Then, the smaller number = 4 × 9 = 36
The ratio of A and B's ages is 6:5. After 5 years, it becomes 9:8. What is their age difference?
Correct Answer: Option D — 8 years
Detailed Academic Explanation:
Given: - Ratio of ages of A and B = 6 : 5 - After 5 years, ratio = 9 : 8 Let the ages be: A = 6x B = 5x After 5 years: (A + 5) / (B + 5) = 9 / 8 => (6x + 5) / (5x + 5) = 9 / 8 Cross multiply: 8(6x + 5) = 9(5x + 5) 48x + 40 = 45x + 45 48x - 45x = 45 - 40 3x = 5 x = 5 / 3 Age difference = A - B = 6x - 5x = x = 5/3 years
A and B work 7 hours a day. A completes a task in 6 days, B in 8 days. In how many days will they complete it together working 8 hours/day?
Correct Answer: Option B — 3 days
Detailed Academic Explanation:
Work done by A per hour = 1/(6*7) = 1/42 Work done by B per hour = 1/(8*7) = 1/56 Combined work per hour = 1/42 + 1/56 = (4/168 + 3/168) = 7/168 = 1/24 At 8 hours/day, work per day = 8 * 1/24 = 1/3 Total days to complete = 1 / (1/3) = 3 days
An arithmetic progression has 2nd term = 20 and 8th term = 60. What is the 20th term?
Correct Answer: Option B — 140
Detailed Academic Explanation:
aₙ = a + (n - 1)d Let a be the first term, d the common difference. Given: 2nd term: a + d = 20 8th term: a + 7d = 60 Subtract the two equations: (a + 7d) - (a + d) = 60 - 20 6d = 40 ⇒ d = 40 / 6 = 20 / 3 Now plug d = 20/3 into a + d = 20: a = 20 - 20/3 = (60 - 20)/3 = 40/3 Now find the 20th term: a + 19d = 40/3 + 19 × (20/3) = (40 + 380)/3 = 420/3 = 140
Two numbers are in ratio 3 : 4 and their LCM is 240. The smallest such pair’s smaller number is:
Correct Answer: Option C — 60
Detailed Academic Explanation:
Let the two numbers be 3x and 4x. LCM of 3x and 4x = LCM(3,4) × x = 12x We’re given that: 12x = 240 ⇒ x = 20 So, the two numbers are: 3x = 60 and 4x = 80 Smaller number = 60
Q is as much younger than R as he is older than T. If the sum of the ages of R and T is 50 years, what is the difference between R and Q's age?
Correct Answer: Option D — Data inadequate
Detailed Academic Explanation:
Given: - Q is as much younger than R as he is older than T ⇒ R - Q = Q - T ⇒ Rearranged: R + T = 2Q ...(1) Also given: - R + T = 50 ...(2) From (1) and (2): 2Q = 50 ⇒ Q = 25 Now put Q = 25 into equation: R + T = 50 So, we still don’t know individual values of R or T, but we can find difference between R and Q: From earlier: R - Q = Q - T ⇒ R - 25 = 25 - T ⇒ R + T = 50 (same again) Now solve: R - 25 = 25 - T Add both sides: R - 25 + T = 25 ⇒ R + T = 50 So we get consistent results. Now, what is R - Q? Let’s find R: From earlier: R - 25 = 25 - T ⇒ R = 50 - T Now R - Q = R - 25 = (50 - T) - 25 = 25 - T So unless T is given, we can’t determine exact value of R - Q Correct Answer: D) Data inadequate
If the 3rd term of AP is 8 and 6th term of AP is 17 what is the 8th term of AP?
Correct Answer: Option B — 23
Detailed Academic Explanation:
We are given: - 3rd term = 8 - 6th term = 17 - We need to find the 8th term. Formula for nth term of an AP: Tₙ = a + (n - 1)d Let’s form equations: 1) T₃ = a + 2d = 8 2) T₆ = a + 5d = 17 Subtract (1) from (2): (a + 5d) - (a + 2d) = 17 - 8 ⇒ 3d = 9 ⇒ d = 3 Now plug back to find a: a + 2(3) = 8 ⇒ a + 6 = 8 ⇒ a = 2 Now find the 8th term: T₈ = a + 7d = 2 + 7(3) = 2 + 21 = 23
In competitive commission exams (FPSC, PPSC, KPPSC, SPSC, CSS, PMS), questions are frequently phrased with distractor options designed to catch rote learners. Whenever you answer an MCQ, read the Detailed Academic Explanation and Conceptual Anchor to understand why the remaining options are incorrect.