SSC CHSL Tier 1 2021 General Intelligence & Reasoning Questions with Solutions

Explanation

Each letter of the word is coded using the positional value of its opposite letter in the alphabetical order (where A=26, B=25, ..., Z=1). Applying this rule to LIGHT, the opposite values for L, I, G, H, T are 15, 18, 20, 19, and 7 respectively, which combines to form 151820197.

Explanation

Correct Answer: D

Analyzing the series by looking at the positions of the letters in each cluster shows a consistent addition pattern for each successive term.

For the first letter: T (20) to C (3) is +9, C (3) to L (12) is +9, L (12) to U (21) is +9. Adding 9 to U (21) gives 30, which corresponds to D (4) in the alphabetical cycle.

For the second letter: B (2) to J (10) is +8, J (10) to R (18) is +8, R (18) to Z (26) is +8. Adding 8 to Z (26) gives 8, which is H.

For the third letter: N (14) to U (21) is +7, U (21) to B (2) is +7, B (2) to I (9) is +7. Adding 7 to I (9) gives 16, which is P.

For the fourth letter: F (6) to L (12) is +6, L (12) to R (18) is +6, R (18) to X (24) is +6. Adding 6 to X (24) gives 30, which corresponds to D (4).

Combining these letters results in DHPD.

Explanation

Substituting the mathematical signs from option C (×, −, =, ×, −, ÷, +) into the given equation:

39 × 4 − 61 = 18 × 4 − 49 ÷ 7 + 30

Applying the BODMAS rule to solve both sides of the equation:

Left Hand Side (LHS): 39 × 4 − 61 = 156 − 61 = 95

Right Hand Side (RHS): 18 × 4 − 49 ÷ 7 + 30 = 18 × 4 − 7 + 30 = 72 − 7 + 30 = 65 + 30 = 95

Since LHS = RHS, this combination balances the equation perfectly.

Explanation

The pattern followed in each row is: (First number × 2) + Second number = Third number

Applying this logic to the first row: (17 × 2) + 26 = 34 + 26 = 60

Applying this logic to the second row: (8 × 2) + 15 = 16 + 15 = 31

Applying this logic to the third row to find the missing number: (11 × 2) + 19 = 22 + 19 = 41

Explanation

Substituting the mathematical signs from Option D into the given equation:

50 × 2 = 3 × 30 × 10 - 40 × 20

Now, we calculate both sides of the equation using the BODMAS rule:

Left Hand Side (LHS): 50 × 2 = 100

Right Hand Side (RHS): 3 × 30 × 10 - 40 × 20 = 900 - 800 = 100

Since LHS = RHS (100 = 100), this combination of signs balances the equation perfectly.

Explanation

In the pair 24 : 8, the first number is divided by 3 to obtain the second number, as 24 ÷ 8 = 3. In all other pairs, the first number is divided by 4 to obtain the second number, making this pair the odd one out.

Explanation

The given number series follows an alternating pattern of addition and multiplication, where the operand increases by 5 at each step.

The sequence of operations is as follows:

23 + 5 = 28 28 × 10 = 280 280 + 15 = 295 295 × 20 = 5900

Following this alternating pattern, the next operation must be addition with 25:

5900 + 25 = 5925

Explanation

The coding pattern involves alternating addition of 2 and subtraction of 2 to the alphabetical positions of each letter in the word.

In DUCK, D + 2 is F, U - 2 is S, C + 2 is E, and K - 2 is I, which gives FSEI.

In FISH, F + 2 is H, I - 2 is G, S + 2 is U, and H - 2 is F, which gives HGUF.

Applying this pattern to FROG: F + 2 is H R - 2 is P O + 2 is Q G - 2 is E

This results in HPQE.

Explanation

Correct Answer: B

The given letter series is formed by the repeating 6-letter pattern: o M o N o J.

By repeating this pattern, we get: o M o N o J | o M o N o J | o M o N o J | o M o N o J

Placing the letters from option B (ooJooNJoo) sequentially into the blanks completes this repeating pattern of o M o N o J.

Explanation

To arrange the given words in alphabetical order as they would appear in an English dictionary, we compare them letter by letter from left to right. All five words begin with the same first two letters, Ne. Therefore, we compare their third letters:

In Necessary, the third letter is c. In Needlework, the third letter is e. In Negotiate, the third letter is g. In Neigh, the third letter is i. In Networks, the third letter is t.

Arranging these third letters in alphabetical order gives c, e, g, i, t. This corresponds to the sequence 1, 4, 3, 5, 2.

Explanation

The logic followed in the given number pairs is: First number : First number × (2 × First number - 3)

For the first pair: 9 : 9 × (2 × 9 - 3) = 9 × (18 - 3) = 9 × 15 = 135

For the second pair: 6 : 6 × (2 × 6 - 3) = 6 × (12 - 3) = 6 × 9 = 54

Applying the same logic to the third pair with the number 7: 7 : 7 × (2 × 7 - 3) = 7 × (14 - 3) = 7 × 11 = 77

Explanation

The given letter series is formed by repeating the 7-letter pattern HaHSaSr three times.

By dividing the series into three equal groups of 7 letters each, we get: H_H__Sr | _aH__Sr | H__SaSr

Comparing these groups with the pattern HaHSaSr, the blanks must be filled as follows: In the first group: H [a] H [S] [a] S r In the second group: [H] a H [S] [a] S r In the third group: H [a] [H] S a S r

The letters sequentially placed in the blanks from left to right are a, S, a, H, S, a, a, H, which forms the sequence aSaHSaaH.

Explanation

The relationship between the terms is based on reversing the order of the letters in each word.

For the first pair, reversing the letters of PEARL (P-E-A-R-L) gives LRAEP (L-R-A-E-P).

Similarly, for the second pair, reversing the letters of ULTRA (U-L-T-R-A) gives ARTLU (A-R-T-L-U).

Applying this same rule to the fifth term, reversing the letters of VIRAL (V-I-R-A-L) gives LARIV (L-A-R-I-V).

Explanation

By analyzing the positions of the letters in the English alphabet, we can determine the pattern between consecutive letter-clusters in the series.

For the first letter of each cluster: C (3) + 7 = J (10) J (10) + 7 = Q (17) Q (17) + 7 = X (24) X (24) + 7 = E (5)

For the second letter of each cluster: F (6) + 7 = M (13) M (13) + 7 = T (20) T (20) + 7 = A (27, which is 1) A (1) + 7 = H (8)

For the third letter of each cluster: J (10) + 7 = Q (17) Q (17) + 7 = X (24) X (24) + 7 = E (31, which is 5) E (5) + 7 = L (12)

For the fourth letter of each cluster: K (11) + 7 = R (18) R (18) + 7 = Y (25) Y (25) + 7 = F (32, which is 6) F (6) + 7 = M (13)

Applying this constant addition of 7 to each letter of the third cluster QTXY yields the letter-cluster XAEF.

Explanation

The logic followed here is x : (x²) + (x/3)³. For the first pair, 12² + (12/3)³ = 144 + 64 = 208, and for the second pair, 9² + (9/3)³ = 81 + 27 = 108. Applying this logic to 15 gives 15² + (15/3)³ = 225 + 125 = 350.

Explanation

The relationship between the first number x and the second number in the standard pattern is x³ - x.

Applying this formula to the first number 7: 7³ - 7 = 343 - 7 = 336

Since the given value in the pair is 337 instead of 336, this pair does not follow the mathematical operation followed by the others.

Explanation

The pattern followed here is that the first and last letters of the word remain in their original positions, while the middle four letters are reversed in order.

For ABSENT, the first letter A and last letter T remain fixed, and the middle letters B-S-E-N are reversed to N-E-S-B, giving ANESBT.

For NOTIFY, the first letter N and last letter Y remain fixed, and the middle letters O-T-I-F are reversed to F-I-T-O, giving NFITOY.

Applying the same pattern to LAUNCH, the first letter L and last letter H remain fixed, and the middle letters A-U-N-C are reversed to C-N-U-A, giving LCNUAH.

Explanation

The coding scheme represents each letter of the word by its respective position in the English alphabetical order, where A = 1, B = 2, C = 3, and so on up to Z = 26.

For BASKET: B = 2, A = 1, S = 19, K = 11, E = 5, T = 20 Combining these numerical positions sequentially yields 211911520.

For BOX: B = 2, O = 15, X = 24 Combining these positions sequentially yields 21524.

Applying the same logic to COVER: C = 3 O = 15 V = 22 E = 5 R = 18

Combining these numerical positions sequentially gives 31522518.

Explanation

The relation between the numbers in each pair follows the mathematical formula where the second number in a pair is obtained by multiplying the first number by itself plus three, and then adding one.

Second number = First number × (First number + 3) + 1

For the first pair: 9 × (9 + 3) + 1 = 9 × 12 + 1 = 108 + 1 = 109

For the second pair: 7 × (7 + 3) + 1 = 7 × 10 + 1 = 70 + 1 = 71

For the third pair, applying the same relation to the fifth number 13: 13 × (13 + 3) + 1 = 13 × 16 + 1 = 208 + 1 = 209

Explanation

The coding pattern represents each letter by a specific numerical value. Consonants are represented by their standard alphabetical positions (A = 1, B = 2, ..., Z = 26). Vowels are represented by their alphabetical positions multiplied by 3.

For MATHS: M is a consonant, so M = 13 A is a vowel, so A = 1 × 3 = 3 T is a consonant, so T = 20 H is a consonant, so H = 8 S is a consonant, so S = 19 Combining these gives 13320819.

For HINDI: H is a consonant, so H = 8 I is a vowel, so I = 9 × 3 = 27 N is a consonant, so N = 14 D is a consonant, so D = 4 I is a vowel, so I = 9 × 3 = 27 Combining these gives 82714427.

Applying this rule to PHYSICS: P is a consonant, so P = 16 H is a consonant, so H = 8 Y is a consonant, so Y = 25 S is a consonant, so S = 19 I is a vowel, so I = 9 × 3 = 27 C is a consonant, so C = 3 S is a consonant, so S = 19

Combining these values in sequence results in 168251927319.

Explanation

The given series is 45, 55, 72, 97, 131, ?

To find the pattern, calculate the differences between consecutive terms: 55 - 45 = 10 72 - 55 = 17 97 - 72 = 25 131 - 97 = 34

The first-level differences are 10, 17, 25, 34. Find the differences of these differences: 17 - 10 = 7 25 - 17 = 8 34 - 25 = 9

The second-level differences form a sequence of consecutive integers: 7, 8, 9. Following this pattern, the next second-level difference must be 10.

This means the next first-level difference is: 34 + 10 = 44

Adding this difference to the last term of the series gives the next number: 131 + 44 = 175

Explanation

The relation between the terms follows the pattern where the second term of each pair is the cube of the first term: y = x³

For the first pair: 8³ = 512

For the third pair: 18³ = 5832

For the middle pair: x³ = 1728 x = ∛1728 x = 12

Explanation

The given letter series is based on the repeating pattern of the five-letter block: m m n n o.

By dividing the series into groups of five letters, we get: m m n n o / m m n n o / m m n n o / m m n n o

Placing the letters from the option mnonnn sequentially into the blanks completes this systematic repetition, ensuring each group forms the block m m n n o.

Explanation

Interchanging the numbers 4 and 6 in the given equation gives: 15 - 6 + (8 × 4) ÷ 16 + 9 × 3 - 7

Following the BODMAS rule, first evaluate the expression inside the bracket: 8 × 4 = 32

This simplifies the expression to: 15 - 6 + 32 ÷ 16 + 9 × 3 - 7

Next, perform the division: 32 ÷ 16 = 2

The expression becomes: 15 - 6 + 2 + 9 × 3 - 7

Next, perform the multiplication: 9 × 3 = 27

The expression becomes: 15 - 6 + 2 + 27 - 7

Now, perform addition and subtraction from left to right: 15 - 6 + 2 + 27 - 7 = 9 + 2 + 27 - 7 = 11 + 27 - 7 = 38 - 7 = 31

This matches the right-hand side of the equation.

Explanation

The number of odd days from 20 February 2013 to 20 February 2016 is calculated by taking 1 odd day per year. Since the leap day of 2016 (29 February) falls after 28 February 2016, it is not included in this duration. Odd days from 20 February 2013 to 20 February 2016 = 3 years × 1 odd day per year = 3 odd days.

The number of days from 20 February 2016 to 28 February 2016 is 28 - 20 = 8 days. Dividing 8 by 7 leaves a remainder of 1 odd day.

Total odd days = 3 + 1 = 4 odd days.

Adding 4 odd days to Wednesday yields Sunday.

Explanation

The differences between the consecutive terms of the given series form a specific pattern.

The differences are: 22 - 2 = 20 32 - 22 = 10 42 - 32 = 10 57 - 42 = 15 87 - 57 = 30 162 - 87 = 75

By analyzing the sequence of these differences (20, 10, 10, 15, 30, 75), each successive difference is obtained by multiplying the preceding difference by an increasing factor that increments by 0.5 at each step: 20 × 0.5 = 10 10 × 1 = 10 10 × 1.5 = 15 15 × 2 = 30 30 × 2.5 = 75

Following this pattern, the next multiplying factor is 3. The next difference in the series is 75 × 3 = 225. The missing term is 162 + 225 = 387.

Explanation

The logic followed is that the second number is obtained by dividing the first number by 9 and then adding 7 to the quotient. For 207, (207 / 9) + 7 = 23 + 7 = 30; for 108, (108 / 9) + 7 = 12 + 7 = 19; and for 63, (63 / 9) + 7 = 7 + 7 = 14.

Explanation

The given number pairs follow the mathematical relationship of a²:a³, where the first number is the square of a base number 'a' and the second number is the cube of 'a'. In the pair 81:730, the first number is 9² (81), so the second number should be 9³ (729). The second number is 730, which represents 9³ + 1 and deviates from this common pattern.

Explanation

The letters of the words are coded using their alphabetical positional values where A = 1, B = 2, ..., Z = 26. Consonants are represented by their exact positional value, while vowels are represented by twice their positional value.

Applying this rule to CURD: C is a consonant, so its value is 3. U is a vowel, so its value is 21 × 2 = 42. R is a consonant, so its value is 18. D is a consonant, so its value is 4. Combining these values yields 342184.

Applying this rule to BREAD: B is a consonant, so its value is 2. R is a consonant, so its value is 18. E is a vowel, so its value is 5 × 2 = 10. A is a vowel, so its value is 1 × 2 = 2. D is a consonant, so its value is 4. Combining these values yields 2181024.

Applying this rule to BUTTER: B is a consonant, so its value is 2. U is a vowel, so its value is 21 × 2 = 42. T is a consonant, so its value is 20. T is a consonant, so its value is 20. E is a vowel, so its value is 5 × 2 = 10. R is a consonant, so its value is 18. Combining these values yields 24220201018.

Explanation

The relationship between the terms in each pair follows the pattern where the first term is increased by 2, and the result is multiplied by 2 to obtain the second term.

For the first pair, 16 : 36: (16 + 2) × 2 = 18 × 2 = 36

For the third pair, 9 : 22: (9 + 2) × 2 = 11 × 2 = 22

Applying this logic to find the unknown term, x, in the middle pair x : 50: (x + 2) × 2 = 50 x + 2 = 25 x = 23

Explanation

The relationship followed between the numbers in each pair is: Second number = (First number × 3) - 9

Applying this to the first pair: (21 × 3) - 9 = 63 - 9 = 54

Applying this to the third pair: (29 × 3) - 9 = 87 - 9 = 78

Following the same logic for the second pair with the number 24: (24 × 3) - 9 = 72 - 9 = 63

Explanation

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

First, compare the first two letters of each word. Facsimile, Favourable, and Fanatical start with Fa, while Frightful and Fructification start with Fr. Since a comes before r, the Fa words must precede the Fr words.

Next, compare the third letter of the Fa words: c in Facsimile, n in Fanatical, and v in Favourable. Arranging these alphabetically gives Facsimile (1) first, followed by Fanatical (5), and then Favourable (3).

Finally, compare the third letter of the Fr words: i in Frightful and u in Fructification. Since i comes before u, Frightful (2) precedes Fructification (4).

Combining these two groups in order gives the complete alphabetical sequence of 1, 5, 3, 2, 4.

Explanation

Substituting the mathematical signs from the correct option into the expression sequentially gives:

25 ÷ 5 × 10 – 2 + 8 = 56

Applying the BODMAS rule, perform division first: 25 ÷ 5 = 5

Next, perform multiplication: 5 × 10 = 50

Then, perform addition and subtraction: 50 – 2 + 8 = 58 – 2 = 56

Since both sides of the equation are equal, the mathematical signs successfully balance the relation.

Explanation

The transformation pattern divides the seven-letter word into three parts: the first three letters, the middle (fourth) letter, and the last three letters.

For the first word FLOWERS: The first three letters FLO are reversed to OLF. The middle letter W remains in its position. The last three letters ERS are reversed to SRE. Combining these gives OLFWSRE.

For the third word HOSTILE: The first three letters HOS are reversed to SOH. The middle letter T remains in its position. The last three letters ILE are reversed to ELI. Combining these gives SOHTELI.

Applying the same logic to IMPORTS: The first three letters IMP are reversed to PMI. The middle letter O remains in its position. The last three letters RTS are reversed to STR. Combining these gives PMIOSTR.

Explanation

The relationship between the numbers in each pair is based on adding a constant difference of 217 to the first number to obtain the second number.

In the first pair: 375 + 217 = 592

In the second pair: 423 + 217 = 640

Following this same logic for the third pair: 198 + 217 = 415

Explanation

The given series follows an alternating pattern of multiplication and addition with decreasing numbers starting from 6:

13 × 6 = 78 78 + 5 = 83 83 × 4 = 332 332 + 3 = 335 335 × 2 = 670

Following this sequence, the missing number is obtained by multiplying 83 by 4, which equals 332.

Explanation

To find the missing number in the series, we analyze the differences between consecutive terms:

8 - 5 = 3 24 - 8 = 16 57 - 24 = 33 109 - 57 = 52 184 - 109 = 75 288 - 184 = 104 423 - 288 = 135

Next, we calculate the differences of these differences (the second differences):

16 - 3 = 13 33 - 16 = 17 52 - 33 = 19 75 - 52 = 23 104 - 75 = 29 135 - 104 = 31

The sequence of second differences is 13, 17, 19, 23, 29, 31, which represents consecutive prime numbers starting from 13. The next prime number in this sequence is 37.

Using this next prime number, we find the next difference in the first level:

135 + 37 = 172

Adding this difference to the last term of the given series gives the next term:

423 + 172 = 595

Explanation

The relationship between the numbers in each pair follows the pattern: Second term = (First term × 4) - 7

Applying this rule to the first pair: (56 × 4) - 7 = 224 - 7 = 217

Applying the same rule to the third pair: (73 × 4) - 7 = 292 - 7 = 285

Following this pattern for the middle pair: (38 × 4) - 7 = 152 - 7 = 145

Explanation

The series is formed by applying a specific mathematical operation to the alphabetical position of each letter in the clusters.

For the first letter of each cluster, the position increases by 2: O (15) + 2 = Q (17) Q (17) + 2 = S (19) S (19) + 2 = U (21)

For the second letter, the position decreases by 4: S (19) - 4 = O (15) O (15) - 4 = K (11) K (11) - 4 = G (7)

For the third letter, the position increases by 6: R (18) + 6 = X (24) X (24) + 6 = D (30, which corresponds to 4 in a 26-letter alphabet cycle) D (4) + 6 = J (10)

For the fourth letter, the position increases by 3: E (5) + 3 = H (8) H (8) + 3 = K (11) K (11) + 3 = N (14)

Combining these positions gives the cluster UGJN.

Explanation

The pattern followed in the given pairs is that the second number is obtained by multiplying the first number by the sum of itself and 8.

First number × (First number + 8) = Second number

Applying this relation to the first pair: 7 × (7 + 8) = 7 × 15 = 105

Applying this relation to the second pair: 9 × (9 + 8) = 9 × 17 = 153

Applying the same relation to the fifth number: 13 × (13 + 8) = 13 × 21 = 273

Explanation

To find the day of the week on 14 October 2028, we calculate the total number of odd days between 11 July 2020 and 14 October 2028.

First, calculate the odd days from 11 July 2020 to 11 July 2028: The total number of years is 8 (from 2020 to 2028). Since 11 July 2020 is past February, the leap years containing an extra day in this interval are 2024 and 2028. Thus, there are 2 leap years and 6 ordinary years. Total odd days = (6 × 1) + (2 × 2) = 10 odd days. 10 days modulo 7 leaves a remainder of 3 odd days.

Next, calculate the odd days from 11 July 2028 to 14 October 2028: Remaining days in July = 20 days Days in August = 31 days Days in September = 30 days Days in October = 14 days Total days = 20 + 31 + 30 + 14 = 95 days. 95 days modulo 7 leaves a remainder of 4 odd days.

Adding the two parts together: Total odd days = 3 + 4 = 7 odd days. 7 odd days modulo 7 is 0 odd days.

Since there are 0 odd days, 14 October 2028 will fall on the exact same day of the week as 11 July 2020, which is Monday.

Explanation

The coding pattern involves reversing the order of the letters in the word and then incrementing each letter by one position in the alphabetical order (+1).

Applying this to PUNCH: Reversing PUNCH gives HCNUP. Adding 1 to each letter: H + 1 = I C + 1 = D N + 1 = O U + 1 = V P + 1 = Q This results in IDOVQ.

Applying this to CRACK: Reversing CRACK gives KCARC. Adding 1 to each letter: K + 1 = L C + 1 = D A + 1 = B R + 1 = S C + 1 = D This results in LDBSD.

Following the same logic for BREAK: Reversing BREAK gives KAERB. Adding 1 to each letter: K + 1 = L A + 1 = B E + 1 = F R + 1 = S B + 1 = C This results in LBFSC.

Explanation

Rashmi's father's daughter refers to either Rashmi herself or Rashmi's sister.

If we consider Rashmi's father's daughter to be Rashmi herself, the statement means Rashmi is the sister of the woman's daughter. Since Rashmi and the woman's daughter are sisters, the woman must be Rashmi's mother.

If we consider Rashmi's father's daughter to be Rashmi's sister, the statement means Rashmi's sister is the sister of the woman's daughter. This also makes the woman's daughter a sister to Rashmi, which means the woman is the mother of both of them.

Explanation

The series follows an alternating pattern of multiplication and subtraction with consecutive integers: times 2, minus 3, times 4, minus 5, and times 6. Applying this to the third term, 45 multiplied by 4 gives 180, which is then followed by subtracting 5 to get 175.

Explanation

Let the seven friends be arranged from tallest to shortest in seven positions: 1 > 2 > 3 > 4 > 5 > 6 > 7.

Based on the second condition, B is taller than only four others. This means exactly four people are shorter than B, which places B in the third position: _ > _ > B > _ > _ > _ > _

According to the first and third conditions, A is shorter than B but taller than C, and E is taller than G but shorter than C. Combining these gives the height order B > A > C > E > G. Since there are exactly four positions remaining after B, they must be filled by A, C, E, and G in that order: _ > _ > B > A > C > E > G

The fourth condition states that D is taller than B but shorter than F, which gives the order F > D > B. These two fit into the remaining two positions at the top of the order: F > D > B > A > C > E > G

Therefore, F occupies the first position, which makes F the tallest among all seven friends.

Explanation

Let P, B, and T represent the sets of pillows, beds, and tables respectively.

The statement "All pillows are beds" implies that the set of pillows is a subset of the set of beds (P ⊆ B).

The statement "No table is a bed" means that the set of tables and the set of beds are completely disjoint (T ∩ B = ∅).

Since the set of pillows is entirely contained within the set of beds, and the set of beds has no intersection with the set of tables, the set of pillows must also be completely disjoint from the set of tables (P ∩ T = ∅). This directly establishes that no pillow is a table, making conclusion I logically true.

Explanation

The pattern followed in each row is that the third number is obtained by subtracting the sum of the first two numbers from their product.

First row: 5 × 6 - (5 + 6) = 30 - 11 = 19

Second row: 7 × 7 - (7 + 7) = 49 - 14 = 35

Third row: 8 × 9 - (8 + 9) = 72 - 17 = 55

Explanation

By decoding the letter symbols as mathematical operators, we get: M denotes - N denotes ÷ O denotes × P denotes +

Substituting these operators into the given equation: (16 × 7) + 124 - 92 + (86 ÷ 43) × 18 - 29

Applying the BODMAS rule, we first solve the terms inside the parentheses: 16 × 7 = 112 86 ÷ 43 = 2

Now substitute these values back into the equation: 112 + 124 - 92 + 2 × 18 - 29

Next, perform the multiplication: 2 × 18 = 36

Substitute this value back into the equation: 112 + 124 - 92 + 36 - 29

Finally, perform the addition and subtraction from left to right: 112 + 124 = 236 236 - 92 = 144 144 + 36 = 180 180 - 29 = 151

Explanation

The coding scheme follows the pattern where the position values of the letters in the English alphabet are multiplied together, and then 2 is added to the product.

In the English alphabet, the position of A is 1 and N is 14. Multiplying these positions and adding 2 gives (1 × 14) + 2 = 16.

For the word NO, the position of N is 14 and O is 15. Multiplying these positions and adding 2 gives (14 × 15) + 2 = 210 + 2 = 212.

Applying the same logic to the word US, the position of U is 21 and S is 19. The code is calculated as (21 × 19) + 2 = 399 + 2 = 401.

Explanation

Substituting the mathematical signs =, ×, +, and - in sequence into the given expression:

50 = 24 × 2 + 5 - 3

Applying the order of operations, we first evaluate the multiplication on the right-hand side: 24 × 2 = 48

Next, we perform the addition: 48 + 5 = 53

Finally, we perform the subtraction: 53 - 3 = 50

Both sides of the equation are equal to 50, which successfully balances the equation.