SSC CHSL Tier 1 2013 General Intelligence & Reasoning Questions with Solutions

Explanation

Let the starting point be represented as (0, 0). Going 30 km North brings the cyclist to (0, 30). Turning East and traveling 40 km brings the cyclist to (40, 30). Turning right from East means heading South, and traveling 20 km brings the cyclist to (40, 10). Finally, turning right from South means heading West, and traveling 40 km brings the cyclist to (0, 10). The distance from the starting point (0, 0) to the final position (0, 10) is the difference in the vertical height, which is 30 - 20 = 10 km.

Explanation

By replacing the placeholders sequentially with the mathematical signs in Option A (+, -, ×, =), we form the following balanced equation:

9 + 7 - 2 × 3 = 10

Following the BODMAS rule, we perform the operations in the correct order:

First, perform the multiplication: 2 × 3 = 6

Now, substitute this back into the equation: 9 + 7 - 6 = 10

Next, perform the addition: 16 - 6 = 10

Finally, perform the subtraction: 10 = 10

The left-hand side is equal to the right-hand side, which balances the equation.

Explanation

Replacing the operators according to their respective meanings where + denotes ÷, - denotes ×, ÷ denotes +, and × denotes -, the expression 35 + 7 - 5 ÷ 5 × 6 becomes:

35 ÷ 7 × 5 + 5 - 6

Applying the BODMAS rule, we perform the operations in order:

Division: 35 ÷ 7 = 5, which simplifies the expression to 5 × 5 + 5 - 6

Multiplication: 5 × 5 = 25, which simplifies the expression to 25 + 5 - 6

Addition: 25 + 5 = 30, which simplifies the expression to 30 - 6

Subtraction: 30 - 6 = 24

Explanation

At 7:00 AM, the Sun is in the East. Walking with his back towards the Sun means Naresh is initially walking towards the West.

From the West direction, turning left directs Naresh towards the South.

From the South direction, turning right directs him towards the West.

Finally, turning left from the West direction directs him towards the South.

Explanation

The first statement defines education as a process of lighting, while the second statement asserts that the mind needs light to enlighten the core of its cognitive aspect. Combining these two statements leads directly to the conclusion that education serves as a light that enlightens the mind, thereby removing its darkness. Thus, conclusion I logically and directly follows from the premises.

Explanation

According to the first statement, all students in my class belong to the set of intelligent individuals. The second statement states that Sunil is not intelligent, which means he is outside the set of intelligent individuals. Since the set of students in my class is entirely contained within the set of intelligent individuals, anyone who is not intelligent cannot be a student of my class. Therefore, conclusion I logically follows. Conclusion II, which refers to working hard, cannot be deduced from the given statements because there is no mention of hard work in the premises. Thus, only conclusion I follows.

Explanation

Let A, B, and C represent the shares of the three workers. The total amount distributed is 178, which gives the equation: A + B + C = 178

According to the given conditions: A gets 4 less than C, which means C = A + 4. B gets 15 more than A, which means B = A + 15.

Substituting the expressions for B and C in terms of A into the total sum equation: A + (A + 15) + (A + 4) = 178 3A + 19 = 178 3A = 159 A = 53

Using this value of A to find the shares of B and C: B = 53 + 15 = 68 C = 53 + 4 = 57

The ratio of their shares A:B:C is therefore 53:68:57.

Explanation

Based on the clues provided, the sequence of the five boys from left to right can be determined step-by-step:

First, C is standing on the extreme right, which fixes C in the fifth position.

Second, B is on the left of E, but on the right of A. This gives the relative order of these three boys as A, B, E.

Third, D is on the right of E, but on the left of C. This places D between E and C, giving the relative order of E, D, C.

Combining these arrangements, the unique order of the five boys from left to right is A, B, E, D, C.

In this linear arrangement of five positions, the third position is the middle one, which is occupied by E.

Explanation

To find the even numbers that are preceded by an even number and followed by an odd number, we need to search for the pattern of three consecutive digits: Even, Even, Odd.

Analyzing the given sequence 86768932753422355228119, we find four instances that satisfy this condition:

The number 6 in the sequence 8-6-7, where the even number 6 is preceded by the even number 8 and followed by the odd number 7.

The number 8 in the sequence 6-8-9, where the even number 8 is preceded by the even number 6 and followed by the odd number 9.

The second 2 in the sequence 4-2-2-3, forming the triplet 2-2-3, where this even number 2 is preceded by the even number 2 and followed by the odd number 3.

The number 8 in the sequence 2-2-8-1, forming the triplet 2-8-1, where the even number 8 is preceded by the even number 2 and followed by the odd number 1.

Explanation

The total number of people going to the market can be calculated by identifying each individual in the group:

First, there is the main man going to the market: 1 person.

Second, he is accompanied by his three brothers: 3 people.

Third, each of the three brothers is carrying one child: 3 × 1 = 3 children.

Adding these individuals together:

1 (the man) + 3 (his brothers) + 3 (the children) = 7 people in total.

Explanation

The logic followed by the numbers in the series is to multiply the previous number by 2 and add consecutive natural numbers starting from 1.

8 × 2 + 1 = 17 17 × 2 + 2 = 36 36 × 2 + 3 = 75 75 × 2 + 4 = 154 154 × 2 + 5 = 313

In the given series, the last term is 308, whereas the correct value should be 313.

Explanation

Following the order of operations (BODMAS), we substitute the symbols with their respective mathematical operators in the expression 16A8R2Q3V5:

16 + 8 ÷ 2 - 3 × 5

First, perform the division: 8 ÷ 2 = 4

Next, perform the multiplication: 3 × 5 = 15

Substituting these results back into the expression gives: 16 + 4 - 15

Performing addition and subtraction from left to right: 20 - 15 = 5

Explanation

Let the number of tiles picked up by Geeta be x. Since Leela picked up 30 tiles more than Geeta, the number of tiles picked up by Leela is x + 30.

The total number of tiles picked up by both of them is 1460. This can be represented by the equation: x + (x + 30) = 1460

Solving for x: 2x + 30 = 1460 2x = 1430 x = 715

Thus, Geeta picked up 715 tiles.

Explanation

The relationship in the first pair is that of cause and effect: smoke causes pollution. Applying the same relationship to the second pair, war causes destruction.

Explanation

The relationship between the first pair of numbers is established by multiplying the first number by 2.5 to obtain the second number.

12 × 2.5 = 30

Applying the same logical pattern to the third number:

18 × 2.5 = 45

This can also be expressed by multiplying the number by 2 and adding half of the number itself:

12 × 2 + 12/2 = 24 + 6 = 30 18 × 2 + 18/2 = 36 + 9 = 45

Explanation

The relationship between the first pair of numbers is established by multiplying the individual digits of the number.

For the first pair: 8 × 5 = 40

Applying the exact same logic to the second pair: 7 × 7 = 49

The product of the digits of the number 77 yields 49.

Explanation

The relationship between the first two terms is established by shifting each letter forward by one position in alphabetical order: K + 1 = L N + 1 = O Q + 1 = R T + 1 = U

Applying this same logic to the third term ADGJ: A + 1 = B D + 1 = E G + 1 = H J + 1 = K

This yields the letters BEHK.

Explanation

The letters of the word DRIVEN are written in reverse order to form NEVIRD. Applying the same pattern to the word BEGUM, writing its letters in reverse order yields MUGEB.

Explanation

The first term represents a sensory perception, and the second term represents the source object from which that sensation is experienced. Just as a flower is the object that provides the sensation of smell, food is the object that provides the sensation of taste.

Explanation

Introvert and Extrovert are antonyms. Similarly, Against and Favour are antonyms, representing opposite attitudes or stances, which perfectly maintains the same analogous relationship.

Explanation

A plane (or plain) represents a flat, level landform with minimal elevation, whereas the other terms refer to elevated geographical landforms that rise significantly above their surroundings. This distinction in elevation makes it the odd one out.

Explanation

The difference between the two numbers in this pair is 20 (68 - 48 = 20), whereas the other pairs have a constant difference of 16 between their two numbers.

Explanation

The letter group LNOQ has alphabetical positions 12, 14, 15, and 17. The differences between successive letters in this group are N - L = 2, O - N = 1, and Q - O = 2, which gives a pattern of +2, +1, +2. This is different from the common pattern of +3, +1, +2 followed by the other letter groups.

Explanation

The pair across and along does not consist of antonyms, whereas the other word pairs in the question are direct opposites. Across means from one side to the other, while along means in a line next to or parallel to something, which are not contrary meanings.

Explanation

The sequence is completed by sequentially placing the letters of option C (abcab) into the gaps, resulting in the pattern: bc[a]bca[b]cab[c]ab[a]a[b]ca, which follows a repeating tri-letter pattern of 'bca', 'cab', and 'abc' with minor variations.

Explanation

In the given letter series, we need to find the number of times C is in the middle with B and N on either side. This means we are looking for the occurrences of either BCN or NCB.

Let us analyze the series by locating every C and checking its immediate neighbors:

In B C M, C is between B and M.

In N C X, C is between N and X.

In N C B N C B, the first C is between N and B (NCB) and the second C is also between N and B (NCB). This gives 2 occurrences.

In Y B C X, C is between B and X.

In N B C N A, C is between B and N (BCN). This gives 1 occurrence.

In Z C B, C is between Z and B.

Adding these up, there are a total of 3 such occurrences.

Explanation

The given set (6 : 12 : 18) is in arithmetic progression with a constant common difference of 6: 12 - 6 = 6 18 - 12 = 6

Similarly, the set (30 : 36 : 42) also forms an arithmetic progression with the exact same common difference of 6: 36 - 30 = 6 42 - 36 = 6

Explanation

In the standard communication process, a message flows chronologically through several key stages. First, the sender translates the idea or information into a symbolic form or code, which is Encoding (2). Next, the sender transmits this encoded message through a channel, representing Sending (1). The message is then acquired by the target audience, which is Receiving (3). Finally, the receiver interprets and translates the message back into a meaningful thought, which is Decoding (4). This sequence establishes the logical progression as 2, 1, 3, 4.

Explanation

To arrange the words in alphabetical order as they appear in an English dictionary, we compare them letter by letter from left to right.

All four words begin with the prefix "imp".

Comparing the fourth letter of each word: For "Impart" (2), the fourth letter is 'a'. For "Important" (1), the fourth letter is 'o'. For "Improve" (4) and "Improvise" (3), the fourth letter is 'r'.

Since 'a' comes before 'o', and 'o' comes before 'r' in the English alphabet, "Impart" (2) comes first, followed by "Important" (1).

Next, we compare "Improve" (4) and "Improvise" (3). Both words share the first six letters "improv". Comparing their seventh letters: For "Improve" (4), the seventh letter is 'e'. For "Improvise" (3), the seventh letter is 'i'.

Since 'e' comes before 'i' alphabetically, "Improve" (4) comes before "Improvise" (3).

Combining these steps gives the final dictionary sequence of 2, 1, 4, 3.

Explanation

The given series follows an alternating pattern where a number is squared to get the next term, and then the original number is subtracted from that square to get the subsequent term.

Starting with the first term, 3: The second term is obtained by squaring 3, which is 3² = 9. The third term is obtained by subtracting 3 from the second term, which is 9 - 3 = 6. The fourth term is obtained by squaring 6, which is 6² = 36. The fifth term is obtained by subtracting 6 from the fourth term, which is 36 - 6 = 30. Following this established pattern, the next term is obtained by squaring 30, which gives 30² = 900.

Explanation

The difference between consecutive terms in the series forms a sequence of consecutive odd numbers:

8 - 7 = 1 11 - 8 = 3 16 - 11 = 5 23 - 16 = 7

Following this pattern, the next difference must be 9. Adding 9 to the last term, 23, yields the next term in the series:

23 + 9 = 32

Explanation

The coding scheme assigns numerical values to each letter of the English alphabet based on its standard sequential position, where A = 1, B = 2, C = 3, and so on.

For B, the position is 2.

For BAG: B = 2 A = 1 G = 7 Sum = 2 + 1 + 7 = 10

Applying the same logic to BOX: B = 2 O = 15 X = 24 Sum = 2 + 15 + 24 = 41

Explanation

The coding scheme assigns a specific digit directly to each letter based on the given coded words.

By mapping the letters from the word DISC, which is coded as 8749, the values are D = 8, I = 7, S = 4, and C = 9.

By mapping the letters from the word ACHE, which is coded as 3950, the values are A = 3, C = 9, H = 5, and E = 0.

Using these specific mappings to determine the code for the word HEAD: H corresponds to 5 E corresponds to 0 A corresponds to 3 D corresponds to 8

Arranging these digits in the sequence of the word HEAD yields 5038.

Explanation

The number of days between January 1st and March 1st in a leap year can be calculated by summing the remaining days of January, the entire month of February, and the first day of March.

Remaining days in January = 31 - 1 = 30 days Days in February in a leap year = 29 days First day of March = 1 day

Total days to add = 30 + 29 + 1 = 60 days

To find the number of odd days, divide the total days by 7: 60 ÷ 7 = 8 weeks and a remainder of 4 days.

Adding 4 days to Friday (Friday + 4) gives Tuesday.

Explanation

To determine the relative heights, we translate the statements into mathematical inequalities using the greater-than symbol:

Barun is taller than Sanjay: Barun > Sanjay Bipul is taller than Barun: Bipul > Barun Krishna is shorter than Bipul but taller than Barun: Bipul > Krishna > Barun

Combining these relationships into a single chain of inequalities: Bipul > Krishna > Barun > Sanjay

Explanation

Let the present age of the father be F and the present age of Rajan be R.

Since Rajan is 20 years younger than his father, we have: R = F - 20

Five years ago, the father's age was F - 5 and Rajan's age was R - 5. According to the question, the father's age was 3 times Rajan's age at that time: F - 5 = 3 × (R - 5)

Substituting R = F - 20 into the equation: F - 5 = 3 × (F - 20 - 5) F - 5 = 3 × (F - 25) F - 5 = 3F - 75 2F = 70 F = 35

Explanation

The total number of people in a row when a single person's rank is known from both ends is calculated using the formula: Total = Position from Left + Position from Right - 1.

Substituting Sunita's rank into the formula: Total = 11 + 11 - 1 = 21.

Sunita is counted twice (once from the left and once from the right) when both positions are added, so 1 is subtracted to find the actual number of girls in the row.

Explanation

Let the woman be W and the man be M. The only son of the woman's brother is the brother of the man's wife. This means that the man's wife and this son are siblings, sharing the same father. Since their father is the brother of the woman W, the woman is the sister of the father of the man's wife. The sister of one's father is one's paternal aunt, which means the woman is the aunt of the man's wife.

Explanation

By matching each letter of the word EAST with its corresponding numerical code from the given key: E corresponds to 7 A corresponds to 6 S corresponds to 2 T corresponds to 4

Substituting these codes in order gives the sequence 7624.

Explanation

The word COMPANIONSHIP contains the letters C, O, M, P, A, N, I, O, N, S, H, I, and P. Counting the frequency of the letters, COMPANIONSHIP has two Os, two Ps, two Ns, and two Is. The word OPINION requires two Os, one P, two Is, and two Ns. Because all of these required letters are present in COMPANIONSHIP in sufficient quantities, the word OPINION can be formed.

Explanation

The word PUNISHMENT does not contain the letter A. Since the letter A is required to spell PAINT, this word cannot be formed from the letters of the given word.

Explanation

In the given code, the first and last letters of the word CALANDER remain in their original positions, while the intermediate letters are swapped in consecutive pairs of two: Position 1 (C) and Position 8 (R) remain unchanged. Position 2 and 3 (A, L) swap to become L, A. Position 4 and 5 (A, N) swap to become N, A. Position 6 and 7 (D, E) swap to become E, D.

Applying the same logic to CIRCULAR: Position 1 (C) and Position 8 (R) remain unchanged. Position 2 and 3 (I, R) swap to become R, I. Position 4 and 5 (C, U) swap to become U, C. Position 6 and 7 (L, A) swap to become A, L.

This pattern yields the coded form CRIUCALR.

Explanation

The pattern in each row is that the first number is the product of the second and third numbers.

Row 1: 7 × 9 = 63 Row 2: 5 × 6 = 30

Applying this pattern to the third row: 4 × ? = 20 ? = 20 ÷ 4 = 5

Explanation

In each column, the relationship between the numbers is: (Row1 + Row2) ÷ Row3 = Row4

Applying this to Column 1: (24 + 24) ÷ 4 = 48 ÷ 4 = 12

Applying this to Column 2: (25 + 20) ÷ 9 = 45 ÷ 9 = 5

Applying this to Column 3: (50 + 10) ÷ 3 = 60 ÷ 3 = 20

Explanation

The system rearranges the three digits in the equation A × B × C to form the three-digit number A C B, where the first digit remains in the hundreds place, the third digit moves to the tens place, and the second digit moves to the units place.

For 3 × 9 × 7, rearranging the digits as A C B gives 379.

For 5 × 4 × 8, rearranging the digits as A C B gives 584.

Applying this pattern to 1 × 2 × 3, the digits are rearranged as A C B to give 132.

Explanation

The system solves the equations by adding the first and third digits of the three-digit number, and then subtracting the second digit from this sum.

For 526: (5 + 6) - 2 = 11 - 2 = 9

For 834: (8 + 4) - 3 = 12 - 3 = 9

Applying the same logic to 716: (7 + 6) - 1 = 13 - 1 = 12

Explanation

In the morning, the Sun is in the East, meaning Meena initially starts walking towards the East.

Her first left turn changes her direction from East to North.

Her second left turn changes her direction from North to West.

Her third left turn changes her direction from West to South.

Explanation

Let the starting point be O. Vijay walks 75 meters East to reach point A. From point A, he turns left (North) and walks 25 meters to reach point B. From point B, he turns left (West) and walks 40 meters to reach point C. From point C, he turns left (South) and walks 25 meters to reach point D.

Since the northward movement from A to B of 25 meters is equal to the southward movement from C to D of 25 meters, point D lies directly on the horizontal line of the starting point O.

The distance of point D from the starting point O is the difference between the eastward distance and the westward distance, which is 75 - 40 = 35 meters.

Explanation

Applying the operators in the equation gives: 24 = 34 ÷ 2 - 5 + 12

Following the BODMAS rule, the operations on the right-hand side are carried out by performing division first, followed by addition and subtraction.

First, divide 34 by 2: 34 ÷ 2 = 17

Next, substitute this value back into the expression: 17 - 5 + 12

Performing the final addition and subtraction: 17 - 5 + 12 = 12 + 12 = 24

This simplifies to 24 = 24, which balances the equation perfectly.

Explanation

In the given question, the typographical symbols are decoded as follows: The symbol + represents minus (-) The symbol - represents multiply (×) The symbol ÷ represents plus (+) The symbol × represents divide (÷)

Replacing the symbols in the given expression 10 × 5 ÷ 3 - 2 + 3 accordingly: 10 ÷ 5 + 3 × 2 - 3

Applying the BODMAS rule: First, perform the division: 10 ÷ 5 = 2 The expression becomes: 2 + 3 × 2 - 3

Next, perform the multiplication: 3 × 2 = 6 The expression becomes: 2 + 6 - 3

Next, perform the addition: 2 + 6 = 8 The expression becomes: 8 - 3

Finally, perform the subtraction: 8 - 3 = 5