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Olympiad Test: Mathematical Reasoning - 1 - Class 7 MCQ


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15 Questions MCQ Test Mathematics Olympiad Class 7 - Olympiad Test: Mathematical Reasoning - 1

Olympiad Test: Mathematical Reasoning - 1 for Class 7 2024 is part of Mathematics Olympiad Class 7 preparation. The Olympiad Test: Mathematical Reasoning - 1 questions and answers have been prepared according to the Class 7 exam syllabus.The Olympiad Test: Mathematical Reasoning - 1 MCQs are made for Class 7 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Olympiad Test: Mathematical Reasoning - 1 below.
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Olympiad Test: Mathematical Reasoning - 1 - Question 1

Ravi got twice as many sums wrong as he got correct. If he attempted 96 sums in all. How many sums did he solve correctly.

Detailed Solution for Olympiad Test: Mathematical Reasoning - 1 - Question 1

Let Ravi gets x sums correct.
∴ Wrong sums = 2x
Now x  + 2x = 96 ⇒ 3x = 96.

Olympiad Test: Mathematical Reasoning - 1 - Question 2

In the numbers from 1 to 100, how many times 7 occurs?

Detailed Solution for Olympiad Test: Mathematical Reasoning - 1 - Question 2

From 1 to 100, there are ten numbers with 7 as unit’s digit –
7, 17, 27, 37, 47, 57, 67, 77, 87,97.
And ten number with 7 as ten’s digit –
70, 71, 72, 73,74, 75, 76, 77, 78, 79. 
Required number = 10 + 10 = 20

Olympiad Test: Mathematical Reasoning - 1 - Question 3

If 100 workers can finish a work in 100 days. then 40 workers can finish the work in how many days?

Detailed Solution for Olympiad Test: Mathematical Reasoning - 1 - Question 3

∵ 100 workers finish a work in 100 days 
∴ 1 worker finish a work in 100 × 100
∴ 40 workers finish a work = 
= 250 days

Olympiad Test: Mathematical Reasoning - 1 - Question 4

A number of students decided to go on a picnic and decided to spendRs. 96 on eatables. Four of them did not turn up, after that the remaining once had to contribute Rs. 4 each extra. What was the number of students in starting?

Detailed Solution for Olympiad Test: Mathematical Reasoning - 1 - Question 4


⇒ x2 + 4x – 96 = 0
⇒ x2 + 12x – 8x – 96 = 0
⇒ x(x + 12) – 8 (x + 12) = 0
⇒ (x – 8) (x + 12) = 0 ( ∵x ≠ – 12) 
⇒ x – 8 = 0 ⇒ x = 8

Olympiad Test: Mathematical Reasoning - 1 - Question 5

A bus starts from city A. the number of women in the bus is half of the number of men. In city B, 10 men leaves the bus and 5 women enters. Now number of men and women is equal. What is the number of passengers in the beginning?

Detailed Solution for Olympiad Test: Mathematical Reasoning - 1 - Question 5

Let the number of women = x
Then number of men = 2x
In city B,
2x – 10 = x + 5 
⇒ 2x – x = 5 + 10 
⇒ x = 15
Total number of passengers in the beginning
= x  + 2x = 3x = 3 × 15 = 45 

Olympiad Test: Mathematical Reasoning - 1 - Question 6

What is the smallest number of ducks that can swim in the way such that two ducks to front of a duck, two ducks behind a duck and a duck between two ducks?

Detailed Solution for Olympiad Test: Mathematical Reasoning - 1 - Question 6


Smallest no. of ducks = 3 

Olympiad Test: Mathematical Reasoning - 1 - Question 7

If a clock takes seven seconds to strike seven. How long will it take to strike 10?

Detailed Solution for Olympiad Test: Mathematical Reasoning - 1 - Question 7

Seven strike of ducks = 3 intervals.
10 strikes have 9 intervals.
∵ 6 intervals have 7 sec and
∴ 1 interval have 7/6 second
∴ 9 intervals have 

Olympiad Test: Mathematical Reasoning - 1 - Question 8

The total present age of Mihir, Sonu and Ritesh is 86 years. What will be the total age of these three persons after 2 years?

Detailed Solution for Olympiad Test: Mathematical Reasoning - 1 - Question 8

Total ages of three persons = 86 years
Total ages of three persons after 2 years
= 86 + 2 + 2 + 2
= 92 years 

Olympiad Test: Mathematical Reasoning - 1 - Question 9

In a caravan, in addition to 50 hens, there are 45 goats and 8 camels with some keepers. If the total number of feet be 224 more than the number of heads in the caravan, what is the number of keepers?

Detailed Solution for Olympiad Test: Mathematical Reasoning - 1 - Question 9

Let the number of keepers be x.
A/Q, Total number of feet
= total no. of heads + 224
⇒ 50 × 2 + 45 × 4 + 8 × 4 + 2 × x
= 50 + 45 + 8 + x + 224
⇒ 100 + 180 + 32 + 2x = 327 + x
⇒ 312 + 2x = 327 + x
⇒ 2x – x = 327 – 312 
⇒ x = 15 

Olympiad Test: Mathematical Reasoning - 1 - Question 10

Out of 450 students, 270 students passed. What is the percentage of students who did not pass?

Detailed Solution for Olympiad Test: Mathematical Reasoning - 1 - Question 10

Number of students who did not pass
= 450 – 270 = 180

Olympiad Test: Mathematical Reasoning - 1 - Question 11

What is that number which when added to itself 13 times, gives 112?

Detailed Solution for Olympiad Test: Mathematical Reasoning - 1 - Question 11

Here,  x + 13x = 112

Olympiad Test: Mathematical Reasoning - 1 - Question 12

In a family, each daughter has the same number of brothers as she has sisters and each son has twice as many sisters as he has brothers. How many sons are there in the family?

Detailed Solution for Olympiad Test: Mathematical Reasoning - 1 - Question 12

Let d be the daughter and s be the son.
d – 1 = s ⇒ d – s = 1 ….(1)
2 (s – 1) = d ⇒ 2s – d = 2 …..(2)
From (1) and (2)
– s  + d = 1
2s – d = 2
__________
Adding s = 3 

Olympiad Test: Mathematical Reasoning - 1 - Question 13

The total of the ages of Ram, Shyam & Mohan is 96 years. What was the total of their ages three years ago?

Detailed Solution for Olympiad Test: Mathematical Reasoning - 1 - Question 13

Total ages of 3 persons = 96.
Three years ago, total age of 3 persons
= 96 – 3 – 3 – 3
= 96 – 9 = 87 years 

Olympiad Test: Mathematical Reasoning - 1 - Question 14

Mr. Sharma is three times as old as his son. Five years back, he was four times as old as his son. What is the age of Mr. Sharma?

Detailed Solution for Olympiad Test: Mathematical Reasoning - 1 - Question 14

Let son’s age be x.
Mr. Sharma’s age = 3x.
A/Q, 3x – 5 = 4 (x – 5)
⇒ 3x – 5 = 4x – 20 
⇒ 4x – 3x = – 5 + 20 
⇒ x = 15
Age of Mr. Sharma = 3x = 3 × 15 = 45 years. 

Olympiad Test: Mathematical Reasoning - 1 - Question 15

A train is running at the speed of 72 km/hr In how many seconds it will cross an electric pole if the length of the train is 360m?

Detailed Solution for Olympiad Test: Mathematical Reasoning - 1 - Question 15

Speed of train = 72 km/hr.

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