Verbal & Non-Verbal Intelligence Tests — Part 6 MCQs with Explanations

Work = Number of workers × Time Let’s find the total work in worker-hours: - 8 workers × 36 hours = 288 worker-hours Now, to finish the work in 8 hours, let’s find how many total workers are needed: - 288 ÷ 8 = 36 workers We already have 8 workers, so additional workers needed: - 36 − 8 = 28

We are given a letter pair sequence: AD, DF, EH, ? First letters: - A → D (+3) - D → E (+1) - E → G (+2) So the pattern in first letters is: +3, +1, +2 Second letters: - D → F (+2) - F → H (+2) - H → J (+2) So the pattern in the second letters is consistently +2 Therefore, the missing pair is: GJ

Let the first part be x, lent at 10% for 8 years. So, interest = (x × 10 × 8)/100 = 0.8x Let the second part be (4200 − x), lent at 7% for 5 years. So, interest = [(4200 − x) × 7 × 5]/100 = (35/100)(4200 − x) = 0.35(4200 − x) Since both interests are equal: 0.8x = 0.35(4200 − x) Solve: 0.8x = 1470 − 0.35x 0.8x + 0.35x = 1470 1.15x = 1470 x = 1278.26 So, second part = 4200 − 1278.26 = Rs. 2,921.74 ≈ Rs. 2,921

Each group is made of 3 consecutive letters in reverse alphabetical order: - HGF → H, G, F - WVU → W, V, U - EDC → E, D, C Following this reverse-letter pattern: - After EDC, the next reverse set would be: C, B, A → CAB

Given the cryptarithm: C + CA = ATT Where: - C is a single digit number. - CA is a two-digit number with C in the tens place and A in the units place. - ATT is a three-digit number with A in hundreds, and T in tens and units. Rewrite the equation numerically: C + (10 × C + A) = 100 × A + 10 × T + T Simplify: C + 10C + A = 100A + 11T 11C + A = 100A + 11T 11C + A - 100A = 11T 11C - 99A = 11T Divide both sides by 11: C - 9A = T Since C, A, T are digits 0-9: - C - 9A = T - T must be a digit 0-9 - So, C - 9A ≥ 0 and ≤ 9 Try possible values of A from 1 to 9 (A cannot be zero, since it is the hundred's digit in ATT): Check A = 1: C - 9*1 = T ⇒ C - 9 = T Since T ≥ 0, C ≥ 9. So C=9, then T=0. Check if this works numerically: Left side: C + CA = 9 + 91 = 100 Right side: ATT = 1 0 0 = 100 Matches! So the possible value of C is 9.

Given series: 459, 440, ?, 402, 383 Difference between terms: 459 - 440 = 19 402 - 383 = 19 Assuming constant difference of 19: ? = 440 - 19 = 421

1. Number of Parallelograms in a 2×3 grid Formula: Total = (m(m+1)/2) × (n(n+1)/2) = (2×3/2) × (3×4/2) = 3 × 6 = 18 Answer: 18 (not in options, closest is 16)

SET A: All figures are divided into three regions . Circle is divided into 3 sectors. Pentagon is divided into 3 regions. Triangle is divided into 3 regions. Cube/Hexagon is divided into 3 regions. Rectangle is divided into 3 vertical regions. Conclusion The target figure is a triangle divided into three regions . This characteristic matches the rule established by SET A .

3(4 + 3) - (4 + 5) = 3(7) - 9 = 21 - 9 = 12

x × 13 = 104 Now solve: 13x = 104 x = 104 ÷ 13 x = 8

Given sequence: 10, 34, 50, 68, 88, ? Now look at the differences between the numbers: - 34 − 10 = 24 - 50 − 34 = 16 - 68 − 50 = 18 - 88 − 68 = 20 The differences are: 24, 16, 18, 20 Now see the pattern in differences: 24, 16, 18, 20 → decreasing, then increasing by 2 So if this trend continues, the next difference should be: 22 88 + 22 = 110

We are given: 1. a² − b² = 9 2. (a − b)² = 3 We can use the identity: a² − b² = (a − b)(a + b) From (1): ⇒ (a − b)(a + b) = 9 — (i) From (2): (a − b)² = 3 ⇒ a − b = √3 or −√3 — (ii) Substitute (ii) into (i): If a − b = √3 Then (√3)(a + b) = 9 ⇒ a + b = 9 / √3 = 3√3 Now use the identity: (a + b)² = a² + 2ab + b² (a − b)² = a² − 2ab + b² = 3 Add both: (a + b)² + (a − b)² = 2a² + 2b² = 2(a² + b²) ⇒ (a + b)² + 3 = 2(a² + b²) We also know: a² − b² = 9, and (a + b)(a − b) = 9 So, use formulas to isolate ab: From identity: a² + b² = (a + b)² − 2ab a² − b² = 9 — already known Now subtract equations: (a + b)² − (a − b)² = 4ab Use known values: (3√3)² − 3 = 4ab 9×3 − 3 = 4ab 27 − 3 = 4ab 24 = 4ab ⇒ ab = 6

Given the equation: 2b - 5 = 6 Step 1: Add 5 to both sides 2b = 6 + 5 2b = 11 Step 2: Divide both sides by 2 b = 11 / 2 b = 5.5

4 + 2 =6 6 + 4 = 10 10 + 8 = 18 18 + 16 = 34 34 + 32 = 66

x/5 + 4 = x/4 -10 x/5 - x/4 = -10 -4 4x - 5x /20 = -14 4x - 5x = -14 x 20 - x = - 280 x = 280 ND06-08-2023

If 4/10 of a number is 16, then: (4/10) × number = 16 Number = 16 ÷ (4/10) = 16 × (10/4) = 16 × 2.5 = 40 So, the number is 40

The square root of 225 is 15.

A shirt is a type of dress. - A mango is a type of fruit .

The prime numbers after 5 are: 7, 11, 13... So, the next prime number after 5 is 7.

To find the purchase price, use the formula: Selling Price = Purchase Price × (1 - Loss%) Given: Selling Price = Rs. 25,000 Loss = 20% → (1 - 0.20) = 0.80 Now, 25,000 = Purchase Price × 0.80 Purchase Price = 25,000 ÷ 0.80 = Rs. 31,250

Let the number be x. x - 0.4x = 30 → 0.6x = 30 → x = 30 ÷ 0.6 = 50

Two hundred one million = 201,000,000 Five hundred six thousand = 506,000 Twelve = 12 Sum = 201,000,000 + 506,000 + 12 = 201,506,012

25% of Rs. 1600 = 0.25 × 1600 = Rs. 400 5% of Rs. 400 = 0.05 × 400 = Rs. 20

3x - 15 - 6 = 0 → 3x - 21 = 0 → 3x = 21 → x = 7

15% of 40 = 0.15 × 40 = 6 Let the number be x. 6 = 0.25x + 2 → 6 - 2 = 0.25x → 4 = 0.25x → x = 16

Let the number be x. 200% of x = 140 → 2x = 140 → x = 70 160% of x = 1.6 × 70 = 112

Total books = 65 + 50 = 115 Total cost = 1150 + 920 = Rs. 2070 Average price per book = 2070 ÷ 115 = Rs. 18

Order the numbers: 9.9 > 0.99 > 0.9 > 0.099 Correct order: 9.9, 0.99, 0.9, 0.099

Look at the hundredths place (6). Since it is 5 or more, round th e tenths place (8) up by 1 → 3.9

20 is divisible by 1 (every number is) and also by 2, 4, 5, 10, but from the options, only 1 fits. 3 and 7 do not divide 20 evenly.

Step 1: Division 13937.869 ÷ 199.54 ≈ 69.84 Step 2: Percentage 15% of 201 = (15/100) × 201 = 30.15 Step 3: Add both results 69.84 + 30.15 = 99.99 ≈ 100

Let new consumption = x kg Price increases by 32%, so new price = 1.32 × old price Expenditure increases by 10%, so: New price × new consumption = 1.10 × old price × old consumption 1.32 × x = 1.10 × 10 x = (1.10 × 10) ÷ 1.32 = 11 ÷ 1.32 ≈ 8.33 kg

Looks like pattern is: n → n × (n − 1) 3 × 2 = 6 4 × 3 = 12 5 × 4 = 20 6 × 5 = 30 7 × 6 = 42

Jason owns 35 spatulas. One seventh are orange. Are 5 spatulas definitely orange? One-seventh of 35 = 5 spatulas So yes, exactly 5 spatulas are orange.

6 → +7 → 13 13 → +8 → 21 21 → +9 → 30 30 → +16 → 46 Answer: 30

63% = 63/100 So, (63/100) × (25/7) = (63 × 25) / (100 × 7) = 1575 / 700 = 2.25

Each term is half of the previous term: 2 → 1 (2 ÷ 2) 1 → 1/2 (1 ÷ 2) 1/2 → 1/4 (1/2 ÷ 2) So next term = 1/4 ÷ 2 = 1/8

Given: 37% of a number = 990.86 Let the number be x. So, 0.37 × x = 990.86 => x = 990.86 / 0.37 => x ≈ 2678.54 Now, find 19% of x: 0.19 × 2678.54 ≈ 508.92 Approximately 509

To determine which set (A or B) the figure at the bottom belongs to, we need to identify a pattern or rule in the figures of Set A and Set B. Upon close inspection, here's a breakdown: - Set A Pattern: In all Set A figures, the dark black rectangles on the left and right bars are in symmetrical or balanced positions. - Set B Pattern: In all Set B figures, the dark black rectangles are not symmetrical; their positions on the left and right bars differ noticeably. Bottom Figure Analysis: - The dark bars on both sides of th e figure are in identical positions. - This symmetry matches the pattern observed in Set A.

Million: 1,000,000 (one followed by 6 zeros) Billion: 1,000,000,000 (one followed by 9 zeros) Trillion: 1,000,000,000,000 (one followed by 12 zeros)