Mahatmas TOP MCQS
All Questions for: Mahatmas TOP MCQS
Question 1: The value of log (36)/ log (6) is......
- A 4
- B 3
- C 1
Explanation: The value of log (36)/ log (6) is...... 2 1 3 4 = log36 / log 6 ND22-1-2023 ** = 1.556 / 0.778 = 3
Question 2: What is the smallest number of ducks that could swim in this formation. Two ducks in front of a duck, two ducks behind a duck and a duck between two ducks?
- A 4
- B None of these
- C 5
Explanation: What is the smallest number of ducks that could swim in this formation. Two ducks in front of a duck, two ducks behind a duck and a duck between two ducks? 3 4 5 None of these Duck 1 has two ducks (2 and 3) behind it. Let's analyze the formation requirements: 1. Two ducks in front of a duck 2. Two ducks behind a duck 3. A duck between two ducks The smallest number that satisfies all these conditions is *3* ducks in a line: Duck 1 (front), Duck 2 (middle), Duck 3 (back) For Duck 2: Duck 1 and Duck 3 satisfy the "two ducks" condition in relation to their positions. Duck 3 has two ducks (1 and 2) in front of it. Duck 2 is between Duck 1 and Duck
Question 3: There are 12 pens on the table, you took 3. How many do you have?
- A 9
- B 12
- C None of these
Explanation: There are 12 pens on the table, you took 3. How many do you have? 3 12 9 None of these You took 3 pens , so you have 3 pens .
Question 4: Arrange the words given below in a meaningful sequence: 1. Family, 2. Community, 3. Member, 4. Locality, 5. Country
- A 3, 1, 2, 4, 5
- B None of these
- C 1, 2, 3, 4, 5
Explanation: Arrange the words given below in a meaningful sequence: 1. Family, 2. Community, 3. Member, 4. Locality, 5. Country 3, 1, 2, 4, 5 1, 2, 3, 4, 5 3, 1, 2, 4, 5 None of these Logic : ? Member is an individual person, so member is the smallest unit of the given order. ? Members lead to formation of family, family leads to formation of community. ? Community leads to formation of locality, locality leads to formation of country. ? Member < Family< Community < Locality < Country .
Question 5: When n is divided by 8, the remainder is 7. What is the remainder when n is divided by 4?
- A None of these
- B 2
- C 4
Explanation: When n is divided by 8, the remainder is 7. What is the remainder when n is divided by 4? 3 2 4 None of these When n is divided by 8, the remainder is 7. This means n can be represented as: n = 8k + 7 Let's see what happens when n is divided by 4: n = 8k + 7 = 8k + 4 + 3 = 4(2k + 1) + 3 So, when n is divided by 4, the remainder is 3 .
Question 6: What comes next in the series: 63, 48, 35, 15, ___?
- A 7
- B 5
Explanation: What comes next in the series: 63, 48, 35, 15, ___? 2 7 5 0 63, 48, 35, 15, ? Now, find the differences between consecutive terms: - 63 ? 48
Question 7: Ali is a very hungry, his stomach is completely empty. He has many cookies with him and he eats one by one. How many cookies can Ali eat in his completely empty stomach?
- A 3
- B None of these
- C 2
Explanation: Ali is a very hungry, his stomach is completely empty. He has many cookies with him and he eats one by one. How many cookies can Ali eat in his completely empty stomach? 1 2 3 None of these The question asks how many cookies Ali can eat in his completely empty stomach. The answer is 1 because after eating the first cookie, his stomach won't be empty anymore.
Question 8: For two non-empty sets A and B, B - A?
- A None of these
- B {x/x ? or x ? B}
- C {x/x ? And x ? B}
Explanation: For two non-empty sets A and B, B - A? {x/x ? and x ? B} {x/x ? or x ? B} {x/x ? And x ? B} None of these B - A represents the set of elements that are in B but not in A. The correct notation is: {x | x ? B and x ? A}
Question 9: The number of solutions of a Quadratic equation ax
- A None of these
- B 3
- C 1
Explanation: The number of solutions of a Quadratic equation ax
Question 10: The median of 3, 1, 8, 6, 9, is....
- A 6
- B 8
- C 9
Explanation: The median of 3, 1, 8, 6, 9, is.... 3 6 8 9 n = 5 which is odd. ? median = value of
Question 11: What letter comes Alphabetically in order in the word DRAWING?
- A D
- B G
- C W
Explanation: What letter comes Alphabetically in order in the word DRAWING? A G W D The letter that comes first alphabetically in the word "DRAWING" is A. The letters in DRAWING are D, R, A, W, I, N, G. When arranged in alphabetical order, they becom e A, D, G, I, N, R, W, withbeing the first.
Question 12: 1.5% of 100 is?
- A 10
- B 15
- C 0.15
Explanation: 1.5% of 100 is? 1.5 0.15 15 10 - Percent means
Question 13: The number of solutions of an equation x
- A 3
- B 1
- C None of these
Explanation: The number of solutions of an equation x
Question 14: A three by three matrix has _____ diagonal/diagonals.
- A None of these
- B 1
- C 3
Explanation: A three by three matrix has _____ diagonal/diagonals. 2 1 3 None of these (or A . These diagonals consist of the elements that lie along those two paths primary ) diagonal (from top-left to bottom-right) and 3
Question 15: 1.8 x 1.5 = ?
- A 3
- B non3
- C 2
Explanation: 1.8 x 1.5 = ? 2.7 2 3 non3 27
Question 16: If Ali completes a particular work in 4 days and Hyder completes the same work in 12 days. How many days will it take if they work together?
- A 4
- B None of these
- C 7
Explanation: If Ali completes a particular work in 4 days and Hyder completes the same work in 12 days. How many days will it take if they work together? 3 7 4 None of these 3 days Let's calculate their combined work rate: Ali's rate = 1 work / 4 days = 1/4 work per day Hyder's rate = 1 work / 12 days = 1/12 work per day Combined rate = 1/4 + 1/12 = 3/12 + 1/12 = 4/12 = 1/3 work per day Time to complete the work together = 1 / (1/3) =
Question 17: log 729 (base 10) is approximately equal to?
- A 3.00
- B 3.56
- C 4.00
Explanation: log 729 (base 10) is approximately equal to? 2.86 3.00 3.56 4.00 log??(729) ? 2.8627 So the correct approximate value is: ? 2.86
Question 18: 23m = 69 then m = ?
- A 2
- B 4
- C 1
Explanation: 23m = 69 then m = ? 3 1 2 4 m = 69
Question 19: In a lake, there are 10 steps labelled using alphabets from A to J. Starting from step A, every minute a frog jumps to the 4th step from where it started - that is from the step A it would go to the step E and from E it would go to the step 1 and from I it would go to C etc. Where would the frog be at the 60th minute if it starts at the step A?
- A None of these
- B B
- C D
Explanation: In a lake, there are 10 steps labelled using alphabets from A to J. Starting from step A, every minute a frog jumps to the 4th step from where it started - that is from the step A it would go to the step E and from E it would go to the step 1 and from I it would go to C etc. Where would the frog be at the 60th minute if it starts at the step A? A D B None of these ? A (5th minute) The frog jumps 4 steps from where it starts. Let's track its movement: A (0th minute) ? E (1st minute) E ? I (2nd minute) I ? C (3rd minute) C ? G (4th minute) G The frog returns to A after 5 minutes. Since 60 is divisible by 5 (60 = 5
Question 20: The value of log??(1000)?
- A 2
- B 5
- C 6
Explanation: The value of log??(1000)? 3 2 5 6 log??(1000) means
Question 21: x + 2 = 5 then x = _____?
- A 2
- B 1
- C None of these
Explanation: x + 2 = 5 then x = _____? 3 1 2 None of these x + 2 = 5 x = 5 ? 2 = 3
Question 22: ? (pi) = _____?
- A 31.4
- B 3.12
- C None of these
Explanation: ? (pi) = _____? 3.14 31.4 3.12 None of these ? (pi) is approximately 3.14159 . The value of Pi (?) is the ratio of the circumference of a circle to its diameter.
Question 23: What is the number that is 1/3 of 1/5 of 1/10 of 300?
- A None of these
- B 30
- C 15
Explanation: What is the number that is 1/3 of 1/5 of 1/10 of 300? 2 15 30 None of these Let's calculate step by step: 1/10 of 300 = 300 / 10 = 30 1/5 of 30 = 30 / 5 = 6 1/3 of 6 = 6 / 3 = 2
Question 24: A man going to a mosque meets another man with his 7 spouses. Each spouse has a child in their arms. What is the total number of people going to mosque?
- A 22
- B 24
- C 18
Explanation: A man going to a mosque meets another man with his 7 spouses. Each spouse has a child in their arms. What is the total number of people going to mosque? 1 18 22 24 - 1 man is going to the mosque. - The man h e meets + 7 wives + 7 children = 15 people, but they are not going to the mosque.
Question 25: (((3)
- A None of these
- B 3?
- C 3
Explanation: (((3)
Question 26: If x
- A 6
- B 5
- C None of these
Explanation: If x
Question 27: Quarter of 1/10 of 120 is?
- A 12
- B 2
- C 6
Explanation: Quarter of 1/10 of 120 is? 3 2 6 12 Step 1: Find 1/10 of 120 Step 2: Find quarter of that (i.e., 1/4 of 12)
Question 28: The number of real solution(s) of the equation x
- A None of these
- B 3
- C 2
Explanation: The number of real solution(s) of the equation x
Question 29: A man had 20 chickens, all but 2 died. How many chickens are alive?
- A 18
- B 20
- C None of these
Explanation: A man had 20 chickens, all but 2 died. How many chickens are alive? 2 18 20 None of these " All but 2 died " means only 2 are still alive.
Question 30: Cos2?/Cos??-Sin?? = _____?
- A None of these
- B -1
Explanation: Cos2?/Cos??-Sin?? = _____? 1 -1 0 None of these
Question 31: sin
- A 4
- B 5
- C 2
Explanation: sin
Question 32: There are _____ types of rational fractions.
- A 4
- B None of these
- C 2
Explanation: There are _____ types of rational fractions. 3 2 4 None of these Proper fractions ? numerator degree < denominator degree. In algebra, rational fractions are classified into 3 types : Improper fractions ? numerator degree ? denominator degree. Mixed fractions ? combination of a polynomial and a proper fraction.
Question 33: What is the mean of first five natural number?
- A 2
- B 5
- C 6
Explanation: What is the mean of first five natural number? 3 2 5 6 The mean of the first five natural numbers (1, 2, 3, 4, 5) is 3 Calculated by summing the numbers (1 + 2 + 3 + 4 + 5 = 15) and dividing by the count of numbers (5).
Question 34: On fifth of on tenth of one quarter of 250 is ?
- A 3.5
- B 4.5
- C 2.5
Explanation: On fifth of on tenth of one quarter of 250 is ? 1.25 2.5 3.5 4.5 One quarter of 250 = 250
Question 35: log 10 is equal to?
- A 3
- B 2
- C 4
Explanation: log 10 is equal to? 1 2 3 4 loge 10 or ln(10) is 2.302585 . ND18-9-2023 The value of the log can be either with base 10 or with base e. The log10 10 value is 1 while the value of
Question 36: If 36xy = 18xyz, then z equal to _____?
- A 4
- B None of these
- C 3
Explanation: If 36xy = 18xyz, then z equal to _____? 2 4 3 None of these Given: 36xy = 18xyz Divide both sides by 18xy: 2 = z
Question 37: The number of subsets of the set (0,1) is:
- A 2
- B 3
- C none
Explanation: The number of subsets of the set (0,1) is: 1 2 3 none 1 },{0,1}. ND5-07-2023
Question 38: Find Odd one out: 2, 3, 7, 11
- A 7
- B 5
- C 11
Explanation: Find Odd one out: 2, 3, 7, 11 2 5 7 11
Question 39: 2 + 2 / 2 = ?
- A 5
- B 2
- C 4
Explanation: 2 + 2 / 2 = ? 3 2 4 5 Division first ? ? Then addition
Question 40: 1/6 + 2/6 + 3/6 = _____?
- A 3
- B None of these
- C 2
Explanation: 1/6 + 2/6 + 3/6 = _____? 1 2 3 None of these Let's calculate: 1/6 + 2/6 + 3/6 = (1 + 2 + 3)/6 = 6/6 = 1
Question 41: (2??? ? 4??
- A 0.6
- B 0.2
- C None of these
Explanation: (2??? ? 4??
Question 42: 3 4/5 is expressed as a decimal is _____?
- A None of these
- B 3.5
- C 3.4
Explanation: 3 4/5 is expressed as a decimal is _____? 3.8 3.5 3.4 None of these To convert 3 4/5 to a decimal: 3 + 4/5 = 3 + 0.8 = 3.8
Question 43: Let U be a universal set and A and B be subsets of U. Which of the following is TRUE according to DeMorgan
- A (?? ? ??)? = ??? ? ???
- B (?? ? ??)? = ??? ????
- C None of these
Explanation: Let U be a universal set and A and B be subsets of U. Which of the following is TRUE according to DeMorgan
Question 44: The number of roots of a cubic equation is?
- A None of these
- B 2
- C 4
Explanation: The number of roots of a cubic equation is? 3 4 2 None of these A cubic equation is a polynomial equation of degree 3 , and it can have up to 3 real roots.
Question 45: 18
- A 2.59
- B 2.54
- C 2.57
Explanation: 18
Question 46: What is 10 percent of quarter?
- A 0.1
- B 0.05
- C 0.2
Explanation: What is 10 percent of quarter? 2.5 0.05 0.1 0.2 Step 1: Write as a fraction Step 2: Find 10% of it Step 3: Multiply or Step 4: Convert to a fraction/percentage
Question 47: Tan 45
- A 0.5
- B None of these
- C -1
Explanation: Tan 45
Question 48: 3
- A 5
- B 4
- C None of these
Explanation: 3
Question 49: If p + 2q = 14 and 3p + q = 12 then p = ____?
- A None of these
- B 6
- C 3
Explanation: If p + 2q = 14 and 3p + q = 12 then p = ____? 2 6 3 None of these 2 Given equations: p + 2q = 14 ... (1) 3p + q = 12 ... (2) Multiply (2) by 2: 6p + 2q = 24 ... (3) Subtract (1) from (3): (6p - p) + (2q - 2q) = 24 - 14 5p = 10 p =
Question 50: Price of one banana is Rs. 8 and price of an orange is Rs. 7. Aslam spent Rs. 30 to purchase these fruits. How many bananas did he purchase?
- A 6
- B None of these
- C 4
Explanation: Price of one banana is Rs. 8 and price of an orange is Rs. 7. Aslam spent Rs. 30 to purchase these fruits. How many bananas did he purchase? 2 6 4 None of these Let's assume Aslam purchased x bananas and y oranges. The total cost is 8x + 7y = 30. We need to find a combination of x and y that satisfies the equation. If x = 2 and y = 2: 8(2) + 7(2) = 16 + 14 = 30 This combination works, so Aslam purchased 2 bananas and 2 oranges.