SSC CHSL Tier 1 2017 General Intelligence & Reasoning Questions with Solutions

Explanation

The operation represented by the symbol * follows the pattern: a * b = 10 × (a - b)

Verifying this relationship with the given equations: 3 * 1 = 10 × (3 - 1) = 10 × 2 = 20 6 * 1 = 10 × (6 - 1) = 10 × 5 = 50 2 * 6 = 10 × (2 - 6) = 10 × (-4) = -40

Applying the same pattern to find the value of 5 * 8: 5 * 8 = 10 × (5 - 8) = 10 × (-3) = -30

Explanation

By setting the starting point at coordinate (0, 0) where the y-axis represents North-South and the x-axis represents East-West:

First, moving 6 km South brings the courier to the coordinate (0, -6).

Next, turning West and cycling 2 km brings him to (-2, -6).

Then, turning to his right (which faces North) and cycling 6 km brings him to (-2, 0).

Finally, turning West and cycling 8 km brings him to (-10, 0).

Calculating the net displacements:

In the North-South direction, the net displacement is 6 km South followed by 6 km North, which equals 0 km.

In the East-West direction, the net displacement is 2 km West followed by 8 km West, which equals 10 km West.

This leaves him exactly 10 km West of his starting position.

Explanation

Let matchboxes be denoted by M, lighters by L, and fire by F.

According to Statement I, all matchboxes are lighters (M is a subset of L). According to Statement II, some fire are matchboxes (F intersects M).

Because the entire set of matchboxes is inside the set of lighters, any element of fire that is also a matchbox must also be a lighter. This guarantees that some fire are lighters.

Conclusion I states that no lighters are fire. This is false because the intersection between fire and lighters is non-empty.

Conclusion II states that all fire are lighters. While it is certain that some fire are lighters, there is no information to prove that all fire are lighters. Therefore, Conclusion II does not definitely follow.

Explanation

The series follows a consistent decreasing pattern for each corresponding letter position.

For the first letter of each term, the positions decrease by 2: C - 2 = A A - 2 = Y Y - 2 = W W - 2 = U

For the second letter of each term, the positions decrease by 3: A - 3 = X X - 3 = U U - 3 = R R - 3 = O

For the third letter of each term, the positions decrease by 4: P - 4 = L L - 4 = H H - 4 = D D - 4 = Z

Applying these three patterns sequentially results in the missing term UOZ.

Explanation

The given number series is 59, 68, 78, 89, 101, ?

To find the missing number, we observe the differences between consecutive terms:

68 - 59 = 9 78 - 68 = 10 89 - 78 = 11 101 - 89 = 12

The difference between successive terms increases by 1 each time. Following this pattern, the next difference must be 13.

Adding 13 to the last term: 101 + 13 = 114

Explanation

The common rule among the similar groups is that the second number is obtained by multiplying the first number by 2, and the third number is obtained by multiplying the first number by 4, representing the sequence as x, 2x, 4x. In the group 7, 14, 21, the second number is twice the first (7 × 2 = 14), but the third number is three times the first (7 × 3 = 21) instead of four times (7 × 4 = 28). This makes it the odd one out as it deviates from the established logic of the other groups.

Explanation

According to the given matrices and the coding rule where a letter is represented first by its row number and then by its column number, the set of numbers 22, 41, 65, 11 is decoded as follows:

The number 22 refers to the element at Row 2 and Column 2 of Matrix-I, which is B. The number 41 refers to the element at Row 4 and Column 1 of Matrix-I, which is A. The number 65 refers to the element at Row 6 and Column 5 of Matrix-II, which is N. The number 11 refers to the element at Row 1 and Column 1 of Matrix-I, which is G.

Combining these letters in sequence yields the word BANG.