National Level Solved Paper (MAT)- 2020-21 - Class 10 MCQ

Direction: Read the following passage and answer the questions given below:
In the administrative structure of an academic institution, the highest body is the Executive Council (EC). There are Academic Programme Committee (APC), Finance Committee (FC), Planning Division (PD) who have to report to the EC. The Vice Chancellor chairs the APC, FC and PD while the Chancellor chairs the EC. The Schools of Studies (Science / Humanities / Social Science / Commerce / Education / Engineering and Technology) come under the jurisdiction of APC.

Q. Which among the following statement is correct in respect of hierarchy?

In the following question, five statements have been provided which are to be considered as true, even if they do not corroborate our real life experiences. There are followed by four conclusions as the alternatives. Now in the given statements, which one among the four conclusions is definitely false.
Statements: Some donuts are dumb. Some dumbs are sweets. All sweets are tall. No tall is a donut. All donuts are sugar.

‘BUILD’ is related to ‘ CAWRQ’ , such that the letters having reflection symmetry with respect to a mirror placed on the right side at the same positions. Which among the following pairs bears the same relationship?

An old couple with memory issues had forgotten their anniversary and were trying to recollect the date. The lady clearly remembers that they got married in the month of February of the year 1955. The man clearly remembers that he celebrated his 21^st birthday with same year, and it was Thursday, the 3^rd of February, as a bachelor. The lady then remembers that they definitely got married before the 13^th of February. The man knows it had to be a weekend, since he was working on other days from Monday to Friday. The lady and the man then agree that it was a Sunday. Help them find the date of their wedding which was in the year 1955?

Direction: Read the following information carefully and answer the questions given below:
(i) A ‘+’ B means ‘ A’ is the mother of ‘B’
(ii) A ‘– ‘ B means ‘ A’ is the wife of ‘B’
(iii) A ‘x´ B means 'A' is the brother of 'B'
(iv) A '÷' B means  A is the son of 'B' .

Q. If P ‘x´ Z '÷' D '-' V, then how is 'V' related to 'P'?

Direction: Read the following information carefully and answer the questions given below:
(i) A ‘+’ B means ‘ A’ is the mother of ‘B’
(ii) A ‘– ‘ B means ‘ A’ is the wife of ‘B’
(iii) A ‘x´ B means 'A' is the brother of 'B'
(iv) A '÷' B means  A is the son of 'B' .

Q. If M '÷'C'+' P '-' L, then how is 'M' related to 'L'?

The objects or words given below form a certain group. Which one of the following does not belong to the group?
Spectacles, Earrings, Bicycle, Shoes, Bangles

There is a 3-digit code to open a lock. There are four 3-digit numbers and hints have been provided corresponding to those numbers to crack the code. Crack the code and mark that as your answer.
821 – One digit is correct but wrongly placed.
379 – None of the digit are correct.
486 – Two digit are correct but wrongly placed.
538 – Two digit are correct and rightly placed. 

Rohan moves 1 km to East and then turn to South and moves 5 km. He again turns to East and walks 2 km. After this, he turns to North and moves 9 km. What is the distance from his starting point to the present point?

Direction: In the following questions, the question is followed by two Statements (i) and (ii). You have to determine whether.
Only statement (i) is sufficient to answer the question.
Only statement (ii) is sufficient to answer the question.
Both statement (i) and statement (ii) are needed to answer the question.
Neither statement (i) nor statement (ii) is sufficient to answer the question.

Q. What is the date today?
Statement:
(i) We are in the second week of March.
(ii) The date today is an odd number.

Direction: In the following questions, the question is followed by two Statements (i) and (ii). You have to determine whether.
Only statement (i) is sufficient to answer the question.
Only statement (ii) is sufficient to answer the question.
Both statement (i) and statement (ii) are needed to answer the question.
Neither statement (i) nor statement (ii) is sufficient to answer the question.

Q. What is the two-digit number?
Statements:
(i) Both the digits of the two-digit number are even and the sum of their digits is 12.
(ii) The two digits of the two-digit number are not the same.

Direction: In the following questions, the question is followed by two Statements (i) and (ii). You have to determine whether.
Only statement (i) is sufficient to answer the question.
Only statement (ii) is sufficient to answer the question.
Both statement (i) and statement (ii) are needed to answer the question.
Neither statement (i) nor statement (ii) is sufficient to answer the question.

Q.Who is the tallest amongst the four friends kimaya, Ashvi, Vihana and Pari?
Statements:
(i) Ashvi is not the tallest but taller then Vihana and Kimaya.
(ii) Vihana is the shortest amongst the four friends.

In the word ‘PACEMAKING’ , if the first letter is interchanged with the second letter, the third letter is interchanged with the fourth letter and so on till the ninth letter is interchanged with the tenth letter, what would be the seventh letter from the right after such arrangement?

In the following letter series, find the letters to replace the question-mark(?) to complete the series:
ZXW VTS RPO NLK ? FDC

A museum has an average of 520 visitors on Sunday and an average of 100 visitors on other days. What is the average number of visitors per day in a month of 30 days beginning with a Sunday?

Rishi decides to drive to a party. From his house, he drives 10 km North. There he decides to pick-up his friend, so he takes a left turn and drives for another 2 km. On picking-up his friend, he has to take a right turn and drive for another 5 km. Finally he takes another right turn and drives for another 2 km to reach his destination. How many kilometers Rishi would have required to drive, has he drove straight from his house to the party?

In a queue, Mr. X is 14^th from the start and Mr. Y is 17^th from the end, while Mr. Z is exactly in the middle of Mr. X and Mr. Y. Mr X is ahead of Mr. Y and there are 48 persons in the queue. How many persons are there between Mr. X and Mr. Z?

Find the next number in the series:
13, 13, 65, 585, 7605, 129285, ?

Find the missing number (?) in the series:
4, 55, 576, ?, 21280, 64083, 64204

Complete the series:
Z = 2197, R = 729, P = 512, J = ?

Sunil is the son of Anil, Shweta Anil’ s sister has a son Maruti and daughter Sita. Prem is the maternal uncle of Maruti. How is Sunil related to Maruti.

In the given figure, the triangle represents girls, the square represents sports persons, and the circle represents coaches. The portions in the figure which represents girls are sports persons but not coaches is labeled as:

A dice is numbered from 1 to 6 in different ways. If 1 is adjacent to 2, 4 and 6, then which of the following statements is necessarily true?

In certain code language ‘sun shines brightly’ is written as ‘ba lo sul’, ‘houses are brightly lit’ as ‘kado ula ari ba’ and ‘light comes from sun’ as ‘dopi kup lo nro’. What code words are written for ‘ sun’ and ‘ brightly’ ?

Study the following figure:

A person goes from A to B always moving to the right or downward along the lines. How many different routes can he adopt?

Consider the following figure and answer the items that follows:

What is the total number of triangles in the above grid? 

Kunal walks 10 km towards North. From there, he walks 6 km towards South. Then, he walks 3 km towards East. How far and in which direction is he, with reference to his starting point?