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CTET Practice Test: Mathematics-1 - CTET & State TET MCQ


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20 Questions MCQ Test - CTET Practice Test: Mathematics-1

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

In a classroom there are certain number of benches. If 6 students are made to sit on a bench, then to accommodate all of them, one more bench is needed. However, if 7 students are made to sit on a bench, then, after accommodating all of them, space for 5 students is left. What is the total number of students in the class? 

Detailed Solution for CTET Practice Test: Mathematics-1 - Question 1

CTET Practice Test: Mathematics-1 - Question 2

The average monthly salary of the workers in a workshop is Rs. 8,500. If the average monthly salary of 7 technicians is Rs. 10,000 and the average monthly salary of the rest is Rs. 7,800, then the total number of workers in the workshop is 

Detailed Solution for CTET Practice Test: Mathematics-1 - Question 2

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CTET Practice Test: Mathematics-1 - Question 3

There were 35 students in a hostel. If the number of students increases by 7, the expenses of mess increase by Rs. 42 per day while the average expenditure per head diminishes by 1. Find the original expenditure of the mess. 

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CTET Practice Test: Mathematics-1 - Question 4

A man is 50 years old. His brother is 7 years older than him and his sister is 12 years younger than his brother. When his sister was 15 years old, then the men’s age was : 

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CTET Practice Test: Mathematics-1 - Question 5

A man walked diagonally across a square plot. Approximately what was the percent distance saved by not walking along the edges? 

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CTET Practice Test: Mathematics-1 - Question 6

The ratio of the number of boys to that of girls in a school is 4: 1. If 75% of boys and 70% of the girls are scholarship holders, then the percentage of students who do not get scholarship is 

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CTET Practice Test: Mathematics-1 - Question 7

A tradesman gives 4% discount on the marked price and gives 1 article free for buying every 15 articles and thus gains 35%. The marked price is increased above the cost price by. 

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CTET Practice Test: Mathematics-1 - Question 8

A certain amount earns simple interest of Rs. 1750 after 7 years. Had the interest per annum been 2% more, how much more interest would it have earned? 

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CTET Practice Test: Mathematics-1 - Question 9

Reena borrowed Rs. 6,450 at 5 percent simple interest repayable in 4 equal installments. What will be the annual installment payable by him? 

Detailed Solution for CTET Practice Test: Mathematics-1 - Question 9

Principal (P) = Rs. 6,450
Rate of interest (R) = 5%
Time (T) = 4 years (since it's repayable in 4 installments)

Simple Interest (SI) = (P × R × T) / 100
= (6,450 × 5 × 4) / 100
= Rs. 1,290

Total Amount Payable = Principal + Simple Interest
= Rs. 6,450 + Rs. 1,290
= Rs. 7,740

Since it's repayable in 4 equal installments: Annual Installment = Total Amount Payable / 4
= Rs. 7,740 / 4 = Rs. 1,935

So, the annual installment payable by Reena will be Rs. 1,935.

CTET Practice Test: Mathematics-1 - Question 10

Mr. X invested an amount for 2 years at 15% per annum at simple interest. Had the interest been compounded, he would have earned Rs. 450/- more as interest. What was the amount invested? 

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CTET Practice Test: Mathematics-1 - Question 11

In a business, Abhiram and Chiru invested amounts in the ratio 2: 1, whereas the ratio between amounts invested by Abhiram and Bikash was 3: 2. If Rs. 1,57,300 was their profit, how much amount did Bikash receive? 

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CTET Practice Test: Mathematics-1 - Question 12

Instead of dividing of Rs. 117 among P, Q, R in the ratio , it was divided in the ratio 2 : 3: 4 by mistake. Who gained in this transaction? 

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CTET Practice Test: Mathematics-1 - Question 13

An Insurance employer reduces the number of his employees in the ratio 9: 8 and increases their wages in the ratio 14: 15. If the original wage bill was Rs. 18,900, find the ratio of decreased wage and original wage. 

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CTET Practice Test: Mathematics-1 - Question 14

The number obtained by interchanging the digits of a two-digit number is less than the original number by 63. If the sum of the digits of the number is 11, what is the original number? 

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CTET Practice Test: Mathematics-1 - Question 15

The respective ratio between the present ages of Roshan and Rakesh is 6: 11. Four years ago, the ratio of the ages was 1: 2 respectively. What will be Rakesh’s age after five years? 

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CTET Practice Test: Mathematics-1 - Question 16

The numbers 11284 and 7655, when divided by a certain number of three digits, leave the same remainder. Find that number of three digits. 

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CTET Practice Test: Mathematics-1 - Question 17

Four Iron metal rods of lengths 78 cm, 104 cm, 117 cm, and 169 cm are to be cut into parts of equal length. Each part must be as long as possible. What is the maximum number of pieces that can be cut? 

Detailed Solution for CTET Practice Test: Mathematics-1 - Question 17

Since each Iron rod must be cut into parts of equal length and 
each part must be as long as possible, so HCF should be 
taken. 
HCF of 78, 104, 117 and 169 = 13. 
No. of parts from 78cm. rod = 78 /13=6 
No. of parts from 104 cm. rod =104/13=8 
No. of parts from 117 cm. rod =117/ 13=9 
No. of parts from 169 cm. rod =169 /13=13 
Maximum no. of pieces = 6 + 8 + 9 + 13 = 36 

CTET Practice Test: Mathematics-1 - Question 18

A person lent Rs. 5,000 partly at the rate of 4 percent and partly at the rate of 5 percent per annum, at simple interest for purchased a wristwatch. The total interest after 2 years is Rs. 440. The sum of money lent at each of the above rates is to be divided in the ratio: 

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CTET Practice Test: Mathematics-1 - Question 19

Simple interest on a certain amount is 9/16 of the principal. If the numbers representing the rate of interest in percent and time in years be equal, then time, for which the principal is lent out, is: 

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CTET Practice Test: Mathematics-1 - Question 20

Anubhav lends Rs. 2500 to Bose and a certain sum to Chandra at the same time at 7% annual simple interest. If after 4 years Anubhav received interest of Rs. 1120 from Bose and Chandra, the sum lent to Chandra is 

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