Mathematical Operation Model Questions & Answers, Practice Test for ssc chsl tier 1 2023

Question :1

If A + D = B + C, A + E = C + D, 2C < A + E and 2A > B + D, then

Answer: (a)

2 C < A + E, A + E = C + D

⇒ 2C < C + D ⇒ C < D .........(1)

A + D = B + C, C < D ⇒ A < B .........(2)

2A > B + D, A < B ⇒ A > D ..........(3)

A + E = C + D , A > D ⇒ E < C ...........(4)

Question :2

If P denotes +, Q denotes –, R denotes × and S denotes ÷, which of the following statements is correct?

Answer: (d)

Using the proper notations in(d),

we get

8 × 8 + 8 ÷ 8 – 8 = 8 × 8 + 1 – 8 = 64 + 1 – 8 = 57

Question :3

The letters L, M, N, O, P, R, S and T in their order are substituted by nine integers 1 to 9 but not in that order. 4 is assigned to P. The difference between P and T is 5. The difference between N and T is 3. What is the integer assigned to N?

Answer: (b)

P = 4

Difference between P and T = 5

Hence, T is assigned = 9

Difference between N and T = 3

Hence, N is assigned = 6

Directions:

In the following questions, the symbols @ £ $ % and # are used with the following meanings as illustrated below :

  • 'A $ B' means ' A is not smaller than B'
  • 'A # B' means 'A' is not smaller than B'
  • 'A@ B' means 'A is neither smaller than nor equal to B'
  • 'A £ B' means 'A is equal to B'
  • 'A % B' means 'A' is neither greater than nor equal to B'
Now in each of the following questions, assuming the given statement to be true, find which of the three conclusions. I, II and III given below then is / are definitely true and give your answer accordingly.

Clearly, we have

  • A $ B ⇒ A < B ⇒ A ≥ B
  • A # B ⇒ A > B ⇒ A ≤ B.
  • A @ B ⇒ A < B and A # B ⇒ A > B,
  • A £ B ⇒ A > B and A # B ⇒ A < B.
Question :4

Statements :
H % J,
J £ N,
N @ R
Conclusions :

  1. R % J
  2. H @ J
  3. N @ H

Answer: (d)

Given statements : H < J, J = N, N > R.

I. Relation between R and J

R < N, N = J ⇒ R < N = J ⇒ R < J i.e, R % J

II. Relation between H and J : H < J i.e, H % J.

III. Relation between N and H.

N = J, J > H ⇒ N = J > H ⇒ N > H i.e, N @ H.

So , only I and III are true.

Question :5

Statements :
M @ J,
J $ T,
T £ N
Conclusion :

  1. N # J
  2. T % M
  3. M @ N

Answer: (d)

Given statements : M > J, J ≥ T, T = N

I. Relation between T and M

N = T, T ≤ J ⇒ N = T ≤ J ⇒ N > H i.e, N @ J.

II. Relation between T and M

T ≤ J , J < M ⇒ N = J < M ⇒ T < M i.e, T % M

III. Relation between M and N.

M > J, J ≥ T, T = N ⇒ M > J ≥ T = N ⇒ M > N i.e, M @ N.

Thus all I, II and III are true.

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