QID int64 1 47 | prompt large_stringlengths 18 316 | solution large_stringlengths 1 32 | answer large_stringlengths 2 1.6k | Verdict large_stringclasses 2
values |
|---|---|---|---|---|
1 | 72496 is to 1315 and 62134 is to 97 and 85316 is to 167 therefore 28439 is to ? | 1412 | The pattern appears to be: $\text{Number} \div \text{Result} = \text{Constant}$. * $72496 \div 1315 \approx 55$ (This doesn't seem to yield a simple integer) * Let's try another relationship: $\text{Number} - \text{Result} = \text{Constant}$ or $\text{Number} / \text{Result} = \text{Constant}$. Let's re-examine the fir... | wrong |
2 | Spell out a 12-letter word by moving from letter to adjacent letter, horizontally and vertically (but not diagonally). You must find the starting point and provide the missing letters.
Grid:
C A I C
L O D N
E E _ _ | encyclopedia | Starting at **C** (Row 1, Column 1): 1. **C** (R1, C1) $\rightarrow$ **A** (R1, C2) 2. **A** (R1, C2) $\rightarrow$ **I** (R1, C3) 3. **I** (R1, C3) $\rightarrow$ **C** (R1, C4) 4. **C** (R1, C4) $\rightarrow$ **N** (R2, C4) 5. **N** (R2, C4) $\rightarrow$ **D** (R2, C3) 6. **D** (R2, C3) $\rightarrow$ **O** (R2, C2) 7... | wrong |
3 | What numbers should replace the question marks?
100, 95, 2, 79, 68, 2, 40, 23, ?, ? | 88 and 55 | The sequence appears to be related to the squares of prime numbers or a similar pattern. If we look at the differences or relationships: * $100 = 10^2$ * $95$ (not a perfect square) * $2 = 1^2 + 1$ or just 2 * $79$ (not a perfect square) * $68$ (not a perfect square) * $2$ * $40$ (not a perfect square) * $23$ Without m... | wrong |
4 | What number should replace the question mark?
[49] [ 615 ] [62]
[85] [ 177 ] [29]
[53] [ ? ] [74] | 910 | 49 | wrong |
5 | What number should replace the question mark?
[19] [ 9 ] [17]
[23] [12] [25]
[13] [ ?] [31] | 11 | 19 | wrong |
6 | What letter is three to the right of the letter immediately to the left of the letter which is four to the left of the letter G? (Alphabet: A B C D E F G H...) | E | Here is the step-by-step deduction: 1. **"the letter which is four to the left of the letter G"**: Starting at G and moving four letters to the left: G $\rightarrow$ F $\rightarrow$ E $\rightarrow$ D $\rightarrow$ C. The letter is **C**. 2. **"the letter immediately to the left of the letter which is four to the left o... | wrong |
7 | What number should replace the question mark?
10, 21, 33, 46, 60, 75, ? | 91 | 92 | wrong |
8 | elk, mink, mouse, gibbon, panther. Which creature comes next? Is it: squirrel, tortoise, tigress, wildebeest, platypus or aardvark? | tortoise | Squirrel | wrong |
9 | January, February, April, July, November, April, ? What comes next? | October | June | wrong |
10 | What numbers should appear on the bottom row?
Row 1: 3 4 7 2 1 6
Row 2: 9 2 8 5 7 4
Row 3: 6 9 7 3 8 5
Row 4: 6 1 2 7 4 3
Row 5: 4 7 5 8 2 9
Row 6: ? ? ? ? ? ? | 5 8 3 7 9 6 | The numbers on the bottom row are **1 3 4 5 6 8**. | wrong |
11 | 7896432 is to 9872346 and 9247183 is to 4293817 therefore 8629471 is to ? | 2681749 | The relationship appears to be: **(First number) $\times 1.25$ = (Second number)** Let's check the first pair: $7896432 \times 1.25 = 9870540$ (This is close to $9872346$, but not exact). Let's try another approach: **Difference or Ratio**. Pair 1: $9872346 - 7896432 = 1975914$ Pair 2: $4293817 - 9247183 = -4953366$ (T... | wrong |
12 | 3829718 is to 87283 and 642735 is to 5346 therefore 6917 is to ? | 76 | The relationship appears to be division by a factor. $3829718 \div 87283 \approx 44$ $642735 \div 5346 \approx 120$ Since the ratios are not consistent, let's try another approach. If we assume a pattern based on the numbers themselves: $3829718 / 87283 = 44$ (approximately) $642735 / 5346 = 120$ (approximately) This s... | wrong |
13 | senate, banana, mirage, curate, revoke. Which one of the words below belongs with the words above? ginger, humane, abacus, yogurt, sector | humane | **curate** | wrong |
14 | Five suspects, one of whom is the guilty party, are being interrogated by the police. Who is the culprit if just three only of the following statements are correct?
Alf: 'Dave did it.'
Ben: 'It wasn't me.'
Charlie: 'Ernie is innocent.'
Dave: 'Alf is lying when he accuses me.'
Ernie: 'Ben is telling the truth.' | Ernie | Let's analyze the statements and test each suspect as the culprit. **Statements:** * **Alf (A):** Dave did it. * **Ben (B):** It wasn't me. * **Charlie (C):** Ernie is innocent. * **Dave (D):** Alf is lying when he accuses me (i.e., Dave did not do it). * **Ernie (E):** Ben is telling the truth (i.e., Ben is innocent).... | wrong |
15 | 0, 1, 4, 9, 16, 25, 36, 49, ? | 64 | 64 | correct |
16 | 100, 96.75, 93.5, 90.25, 87, ? | 83.75 | 83.75 | correct |
17 | 1, 1, 2, ?, 24, 120, 720 | 6 | The next number is **6**. This is a sequence where each number is the product of the previous two numbers: * $1 \times 1 = 1$ * $1 \times 2 = 2$ * $2 \times 3 = 6$ * $3 \times 2 = 6$ (Wait, this doesn't fit the pattern for the next step) Let's re-examine the pattern based on the given numbers: * $1 \times 1 = 1$ * $1 \... | correct |
18 | 5, 26, 131, 656, ? | 3281 | The next number is **3281**. Here's the pattern: Each number is found by multiplying the previous number by 5 and then adding 1. * $5 \times 5 + 1 = 26$ (Incorrect based on the sequence) Let's re-examine the pattern: * $5 \times 5 + 1 = 26$ (This doesn't fit the sequence $5, 26, 131, 656$) Let's try another pattern: * ... | correct |
19 | 1, 2, 6, 12, 36, 72, 216, ?, ? | 432, 1296 | 432, 1296 | correct |
20 | What is 35% of 250? | 87.5 | 87.5 | correct |
21 | Which is greater, 5/8 of 112 or 7/8 of 88? | 7/8 of 88 | They are equal. | wrong |
22 | Add 2/5 of 90 to 5/6 of 78. | 101 | $2/5 \times 90 = 36$ $5/6 \times 78 = 65$ $36 + 65 = 101$ | correct |
23 | How many minutes is it before 12 noon if 68 minutes ago it was three times as many minutes past 10 a.m.? | 13 minutes | 120 minutes. | wrong |
24 | Jack is three times as old as Jill, but in three years time he will only be twice as old. How old are Jack and Jill? | Jack 9, Jill 3 | Jack is 12 and Jill is 4. | wrong |
25 | If Alice gives Susan £6.00 the money they each have is in the ratio 2:1; however, if Susan gives Alice £1.00 the ratio is 1:3. How much money have Alice and Susan each before they exchange any money? | Alice £62.00, Susan £22.00 | Alice has £4.00 and Susan has £2.00. | wrong |
26 | The average of three numbers is 19. The average of two of these numbers is 24. What is the third number? | 9 | The third number is 31. | wrong |
27 | A batsman is out for 26 runs, which raises his batting average for the season from 15 to 16. How many runs would he have had to have scored to raise his average to 20? | 70 runs | He would have had to score **44 runs** in the next innings. | wrong |
28 | A statue is being carved by a sculptor. The original piece of marble weighs 250 kg. In the first week 35% is cut away, in the second week 20% of the remainder is cut away and in the third week 25% is chiselled away and polished to produce the finished statue. What is the weight of the final statue? | 97.5 kg | Here's the calculation: 1. **After Week 1:** $250 \text{ kg} \times (1 - 0.35) = 250 \text{ kg} \times 0.65 = 162.5 \text{ kg}$ 2. **After Week 2:** $162.5 \text{ kg} \times (1 - 0.20) = 162.5 \text{ kg} \times 0.80 = 130 \text{ kg}$ 3. **After Week 3:** $130 \text{ kg} \times (1 - 0.25) = 130 \text{ kg} \times 0.75 = ... | correct |
29 | Three coins are tossed in the air at the same time. What are the chances that at least two of the coins will fall tails up? | 50% | The probability is $\frac{7}{8}$. | wrong |
30 | A train travelling at a speed of 75 m.p.h. enters a tunnel that is 2.5 miles long. The length of the train is 0.25 miles. How long does it take for all of the train to pass through the tunnel, from the moment the front enters to the moment the rear emerges? | 2 minutes 12 seconds | Here's how to solve it: 1. **Convert speed to m/s:** $75 \text{ m/h} = 75 / 3600 \approx 0.02083 \text{ m/s}$ (or use miles/hour and convert later). 2. **Calculate total distance to cover:** The train must cover the length of the tunnel plus its own length. Total distance = Tunnel length + Train length Total distance =... | correct |
31 | I have collected 91 apples, which I wish to put into bags for handing out to some of my neighbours. All bags must contain the same number of apples and I wish to use as few bags as possible. How many neighbours received a bag of apples and how many apples did each bag contain? | 7 bags each containing 13 apples | To find the minimum number of bags, you need to find the greatest common divisor (GCD) of 91 and the number of neighbours (which is unknown). Since you want to use as few bags as possible, you need to find the largest possible number of apples per bag that divides 91. The factors of 91 are 1, 7, 13, and 91. * **If you ... | wrong |
32 | Out of 144 guests at a conference, a quarter took their coffee with sugar only, 5/8 took it with both milk and sugar, one out of every 16 guests took it with milk only and the rest took it black with neither milk nor sugar. How many guests took it black with neither milk nor sugar? | 9 | Here's the breakdown: 1. **Coffee with sugar only:** $\frac{1}{4} \times 144 = 36$ guests. 2. **Coffee with milk and sugar:** $\frac{5}{8} \times 144 = 90$ guests. 3. **Coffee with milk only:** $\frac{1}{16} \times 144 = 9$ guests. **Total guests accounted for:** $36 + 90 + 9 = 135$ guests. **Guests who took it black (... | correct |
33 | Choose the word closest in meaning: GLUTINOUS (churlish, adhesive, hungry, bright, desolate) | adhesive | churlish | wrong |
34 | Choose the word closest in meaning: ERUDITE (ancient, scholarly, distinguished, careful, itinerant) | scholarly | Scholarly | correct |
35 | Choose the word most opposite in meaning: CHECK (stay, accelerate, monitor, foil, win) | accelerate | The word most opposite in meaning to CHECK is **accelerate**. Here's why: * **CHECK** implies slowing down, stopping, or regulating something. * **Accelerate** means to increase speed or rate, which is the opposite of slowing down or controlling. The other options are less direct opposites: * **Stay:** Can be related, ... | correct |
36 | Choose the word most opposite in meaning: PRODIGIOUS (tiny, tight, unproductive, inept, preposterous) | tiny | preposterous | wrong |
37 | digital is to numbers as analogue is to: (symbols, hands, time, register, chronometer) | hands | **hands** | correct |
38 | limerick is to five as sonnet is to: (four, eight, twelve, fourteen, sixteen) | fourteen | fourteen | correct |
39 | haematite is to iron as galena is to: (enamel, copper, tin, zinc, lead) | lead | lead | correct |
40 | Which is the odd one out? (level, even, flat, straight, direct) | level | **Level** is the odd one out. (The others describe physical states or directions: even/odd, flat/curved, straight/angled, direct/indirect.) | correct |
41 | The school tried to persuade the police not to _____ the boys for what had been a _____ lapse in their good behaviour. (Insert three of the following words: momentous, prosecute, principle, persecute, principal, momentary) | principal, prosecute, momentary | The school tried to persuade the police not to **prosecute** the boys for what had been a **momentary** lapse in their good behaviour. | correct |
42 | Which word in brackets means the same as the word in capitals? RAPACITY (avarice, affinity, envy, speed, euphoria) | avarice | avarice | correct |
43 | Which two words that sound alike, but are spelled differently, mean: mode/estate | manner / manor | **Mode** and **moad** (though "moad" is less common, it fits the sound-alike pattern). However, if you are looking for words that sound alike and have different spellings meaning "mode/estate," the most likely intended pair is **mode** and **mode** (which are the same word, just different pronunciations or contexts), o... | wrong |
44 | SUP LIME is an anagram of which seven-letter word? | impulse | Muslim | wrong |
45 | TAXI FEE PLOT is an anagram of which two words (4, 7) that mean the same? | feat, exploit | **FATAL TIP** | wrong |
46 | A nut is so tight on a screwed bolt you are having great difficulty unscrewing it. Which of the following is the most effective in freeing it? (a) cooling it (b) submerging it in warm water (c) heating it (d) none of the above | c- heating it | (c) heating it | correct |
47 | The speed of sound is approximately 740 m.p.h. A fire engine with its siren sounding is approaching you at 80 m.p.h. At what speed is the sound from the siren approaching you? (a) 820 m.p.h (b) 740 m.p.h (c) 660 m.p.h (d) 9.25 m.p.h | b- 740 m.p.h | (a) 820 m.p.h | wrong |
iq-dataset Test for gemma-4-E2B-it
Purpose
I created this dataset to evaluate the general IQ of gemma-4-E2B-it, an open multimodal model. I selected it because it has fewer than 6B parameters, supports Any-to-Any tasks, and uses an Apache-2.0 license, so the weights are openly downloadable.
Dataset Structure
The dataset contains the following columns:
| Column | Description |
|---|---|
QID |
Question ID |
prompt |
The question |
solution |
The correct answer |
answer |
The output of the gemma-4-E2B-it model |
Verdict |
Judger output — whether the answer is correct or not |
Dataset Contents
The dataset covers general IQ questions.
Data Sources
- The Complete Book of Intelligence Tests by Philip Carter
Grading Prompt
To determine whether each model answer is correct or wrong, I used the following prompt with DeepSeek as the judge. It takes the solution as ground truth, compares it with the model's answer, and assigns a Verdict of correct or wrong.
Task
===================================================== start of prompt ============================================
You are given a CSV file with columns QID, prompt, solution, and answer.
- For each row, treat
solutionas the ground-truth correct answer andansweras the model's submitted answer. - Compare them and decide a verdict:
correctorwrong. Use your best judgement for partially correct or ambiguous cases, but only output one of the two labels. - Produce a Markdown file with the following structure:
Grading Results
| QID | Verdict |
|---|---|
| correct/wrong | |
| ... | ... |
Statistics
| Metric | Count |
|---|---|
| Total rows | |
| Correct | |
| Wrong | |
| Accuracy | <xx.xx>% |
List of correct QIDs: ...
List of wrong QIDs: ...
===================================================== end of prompt ============================================
Results of testing the model
| Metric | Count |
|---|---|
| Total rows | 47 |
| Correct | 19 |
| Wrong | 28 |
| Accuracy | 40.43% |
List of wrong QIDs: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 21, 23, 24, 25, 26, 27, 29, 31, 33, 36, 43, 44, 45, 47
Findings
The gemma-4-E2B-it model achieved an accuracy of 40.43% (19 correct out of 47 questions) on the iq-dataset. While this may appear modest in absolute terms, it is notably higher than the visual perception results reported in the companion dataset (Maioush/visual-perception-dataset), suggesting that the model's abstract reasoning and verbal IQ capabilities outperform its visual perception skills at this parameter scale.
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