NTSE MAT Class 8 Mathematics Questions and Answers Set 03

Question. Completing the Analogous Pair
Boat : Oar : : Bicycle : ?
(a) Pedal
(b) Seat
(c) Road
(d) Wheel
Answer: (a) Pedal
Sol: Second denotes that part of the first, on which the effort is applied to move it.

Question. Choosing a Similar
Bhilai, Durgapur, Bokaro
(a) Baroda
(b) Chennai
(c) Chandigarh
(d) Rourkela
Answer: (d) Rourkela
Sol: (d) All cities are famous for steel plants

Question. How many such pairs of letters are there in the word ‘CHANNEL’, which has as many letters between them in the word as in the English alphabet?
(a) None
(b) One
(c) Two
(d) Three
(e) More than three
Answer: (c) Two

Question. In a certain language, the word ‘REJECT’ is written as ‘SGMIHZ’. How will the word ‘ACCEPT’ be written?
(a) BEFIUV
(b) BEFMUZ
(c) BEEIUZ
(d) BEFIUZ
Answer: (d) BEFIUZ

Question. 1296, 648, 216, ?, 36, 18, 6, 3
(a) 112
(b) 108
(c) 106
(d) 110
Answer: (b) 108

Question. Choose the incorrect
56, 58, 62, 70, 84, 118, 182
(a) 58
(b) 62
(c) 84
(d) 118
Answer: (c) 84

Question. Pointing to a photograph, a lady tells, Amit, “I am the only daughter of this lady and her son is your maternal uncle.” How is the speaker related to Amit’s father?
(a) Sister-in-law
(b) Wife
(c) Either (a) or (b)
(d) Neither (a) nor (b)
Answer: (b) Wife
Sol: The lady who is talking to Amit is the daughter of the lady in the photograph. The son of that lady who is the brother of the lady who is talking to Amit. The brother of this lady is the maternal uncle of Amit. The lady is the mother of Amit & wife of Amit’s Father.

Question. A x B means A is the sister of B,
A / B means A is the daughter of B,
A – B means A is the son of B.
On the basis of this information you have to tell, how is P related to S in the relationship
P – Q x R / S
(a) Brother
(b) Son
(c) Grandson
(d) Daughters son
Answer: (d) Daughters son
Sol: (d) According to the directions P is the son of the daughter of S.

Question. What was the day of the week on \( 15^{th} \) August, 1947?
(a) Monday
(b) Tuesday
(c) Friday
(d) Saturday
Answer: (c) Friday
Sol: \( 15^{th} \) August, 1947 = (1946 years + Period from 1.1.1947 to 15.8.1947)
Odd days in 1600 years = 0
Odd days in 300 years = \( (5 \times 3) = 15 \equiv 1 \) odd day
1946 years = (11 leap years + 35 ordinary years)
= \( (11 \times 2 + 35 \times 1) \) odd days = 57 odd days
= (8 weeks + 1 day) = 1 odd day
Odd days in 1946 years = (0 + 1 + 1) = 2
Jan. Feb. March April May June July Aug.
(31 + 28 + 31 + 30 + 31 + 30 + 31 + 15) = 227 days
227 days = (32 weeks + 3 days) = 3 odd days
Total number of odd days = (2 + 3) = 5
Hence, the required day is Friday.

Question. At 4 : 30, what is the angle formed between hour hand and minute hand?
(a) \( 40^\circ \)
(b) \( 60^\circ \)
(c) \( 30^\circ \)
(d) \( 45^\circ \)
Answer: (d) \( 45^\circ \)
Sol: At 4 O’clock angle between hour and min. hand is of \( 120^\circ \) because in 30 min. minute hand make an angle of \( 180^\circ \). So, the resultant angle of \( 60^\circ \). But in 30 min. hour hand will also cover an angle of \( 15^\circ \). Hence, the final angle between both hands is \( 60^\circ – 15^\circ = 45^\circ \)

Directions: Read the following information’s carefully and answer the given questions. P, Q, R, S, T, V and W are the seven members of a family. There are three female members, each of them has a different profession – Lawyer, Chartered Accountant (CA), Engineer, Teacher, Doctor, Architect and Pharmacist. No lady is either Pharmacist or Chartered Accountant. Each of them has a different monthly income. The Chartered Accountant earns the most. S, Engineer, earns less than V, the Doctor. R, the Teacher, earns more than P and less than S. W’s wife earns the least. T is an unmarried lady lawyer and she earns less than P and more than only Q. The Pharmacist’s income is not the lowest.

Question. Who earns the least?
(a) P
(b) Q
(c) P or Q
(d) R
(e) None of the above
Answer: (b) Q
Sol: Based on the summary: Q < T < P < R < S < V < W. Therefore, Q earns the least.

Question. What is P’s profession?
(a) Pharmacist
(b) Lawyer
(c) Teacher
(d) Cannot be determined
(e) None of the above
Answer: (a) Pharmacist
Sol: From the deduction table, P is the Pharmacist.

Question. How many members earn less than the Doctor?
(a) 2
(b) 3
(c) 4
(d) 5
(e) None of these
Answer: (d) 5
Sol: V is the Doctor. Members earning less are Q, T, P, R and S (Total 5).

Question. Which of the following represents the three female members of the family?
(a) PTQ
(b) TRQ
(c) VTQ
(d) VTR
(e) Cannot be determined
Answer: (e) Cannot be determined

Question. Which one of the four interchanges in signs and numbers would make the given equation correct?
3 + 5 – 2 = 4
(a) + and –, 2 and 3
(b) + and –, 2 and 5
(c) + and –, 3 and 5
(d) None of these
Answer: (c) + and – 3, and 5
Sol: By making the interchange given in (c), we get the equation as 5 – 3 + 2 = 4 or 4 = 4, which is true.

Question. Of the five villages P, Q, R, S and T situated close to each other, P is to the West of Q, R is to the South of P, T is to the North of Q and S is to the East of T. Then, in which direction R is with respect to S?
(a) North – West
(b) South – East
(c) South – West
(d) Data inadequate
Answer: (c) South – West

Question. In a class, boys stand in a single line. One of the boys is nineteenth in order from both the ends. How many boys are there in the class?
(a) 27
(b) 37
(c) 38
(d) 39
Answer: (b) 37