75 MOST IMP Maths ✅ Square Roots & Cube Roots Questions | Navodaya, Sainik, RMS Class 6/9 🔥 — Quiz questions and answers
समाप्त क्विज के प्रश्न और उत्तर · Completed quiz practice
What is the square of 94?
94 का वर्ग क्या है?
- 8936 / 8936
- 8826 / 8826
- 8836 / 8836
- 8736 / 8736
Correct answer / सही उत्तर: C — 8836
∵ The number is 94
→ $94^2 = 94 \times 94$
→ $94 = 90 + 4$
→ $(90 + 4)^2 = 8100 + 720 + 16$
∴ $94^2 = 8836$
∵ संख्या 94 है
→ $94^2 = 94 \times 94$
→ $94 = 90 + 4$
→ $(90 + 4)^2 = 8100 + 720 + 16$
∴ $94^2 = 8836
What is the square of 67?
67 का वर्ग क्या है?
- 4389 / 4389
- 4479 / 4479
- 4489 / 4489
- 4589 / 4589
Correct answer / सही उत्तर: C — 4489
∵ The number is 67
→ $67^2 = 67 \times 67$
→ $67 = 60 + 7$
→ $(60 + 7)^2 = 3600 + 840 + 49$
∴ $67^2 = 4489$
∵ संख्या 67 है
→ $67^2 = 67 \times 67$
→ $67 = 60 + 7$
→ $(60 + 7)^2 = 3600 + 840 + 49$
∴ $67^2 = 4489
What is the square of 56?
56 का वर्ग क्या है?
- 3236 / 3236
- 3126 / 3126
- 3036 / 3036
- 3136 / 3136
Correct answer / सही उत्तर: D — 3136
∵ The number is 56
→ $56^2 = 56 \times 56$
→ $56 = 50 + 6$
→ $(50 + 6)^2 = 2500 + 600 + 36$
∴ $56^2 = 3136$
∵ संख्या 56 है
→ $56^2 = 56 \times 56$
→ $56 = 50 + 6$
→ $(50 + 6)^2 = 2500 + 600 + 36$
∴ $56^2 = 3136
What is the square of 92?
92 का वर्ग क्या है?
- 8364 / 8364
- 8464 / 8464
- 8564 / 8564
- 8454 / 8454
Correct answer / सही उत्तर: B — 8464
∵ The number is 92
→ $92^2 = 92 \times 92$
→ $92 = 90 + 2$
→ $(90 + 2)^2 = 8100 + 360 + 4$
∴ $92^2 = 8464$
∵ संख्या 92 है
→ $92^2 = 92 \times 92$
→ $92 = 90 + 2$
→ $(90 + 2)^2 = 8100 + 360 + 4$
∴ $92^2 = 8464
What is the square of 81?
81 का वर्ग क्या है?
- 6551 / 6551
- 6561 / 6561
- 6461 / 6461
- 6661 / 6661
Correct answer / सही उत्तर: B — 6561
∵ The number is 81
→ $81^2 = 81 \times 81$
→ $81 = 80 + 1$
→ $(80 + 1)^2 = 6400 + 160 + 1$
∴ $81^2 = 6561$
∵ संख्या 81 है
→ $81^2 = 81 \times 81$
→ $81 = 80 + 1$
→ $(80 + 1)^2 = 6400 + 160 + 1$
∴ $81^2 = 6561
What is the square of 46?
46 का वर्ग क्या है?
- 2116 / 2116
- 2216 / 2216
- 2016 / 2016
- 2106 / 2106
Correct answer / सही उत्तर: A — 2116
∵ The number is 46
→ $46^2 = 46 \times 46$
→ $46 = 50 - 4$
→ $(50 - 4)^2 = 2500 - 400 + 16$
∴ $46^2 = 2116$
∵ संख्या 46 है
→ $46^2 = 46 \times 46$
→ $46 = 50 - 4$
→ $(50 - 4)^2 = 2500 - 400 + 16$
∴ $46^2 = 2116
What is the square of 82?
82 का वर्ग क्या है?
- 6714 / 6714
- 6824 / 6824
- 6624 / 6624
- 6724 / 6724
Correct answer / सही उत्तर: D — 6724
∵ The number is 82
→ $82^2 = 82 \times 82$
→ $82 = 80 + 2$
→ $(80 + 2)^2 = 6400 + 320 + 4$
∴ $82^2 = 6724$
∵ संख्या 82 है
→ $82^2 = 82 \times 82$
→ $82 = 80 + 2$
→ $(80 + 2)^2 = 6400 + 320 + 4$
∴ $82^2 = 6724
What is the square of 42?
42 का वर्ग क्या है?
- 1864 / 1864
- 1664 / 1664
- 1754 / 1754
- 1764 / 1764
Correct answer / सही उत्तर: D — 1764
∵ The number is 42
→ $42^2 = 42 \times 42$
→ $42 = 50 - 8$
→ $(50 - 8)^2 = 2500 - 800 + 64$
∴ $42^2 = 1764$
∵ संख्या 42 है
→ $42^2 = 42 \times 42$
→ $42 = 50 - 8$
→ $(50 - 8)^2 = 2500 - 800 + 64$
∴ $42^2 = 1764
What is the square of 49?
49 का वर्ग क्या है?
- 2501 / 2501
- 2301 / 2301
- 2401 / 2401
- 2391 / 2391
Correct answer / सही उत्तर: C — 2401
∵ The number is 49
→ $49^2 = 49 \times 49$
→ $49 = 50 - 1$
→ $(50 - 1)^2 = 2500 - 100 + 1$
∴ $49^2 = 2401$
∵ संख्या 49 है
→ $49^2 = 49 \times 49$
→ $49 = 50 - 1$
→ $(50 - 1)^2 = 2500 - 100 + 1$
∴ $49^2 = 2401
What is the square of 98?
98 का वर्ग क्या है?
- 9504 / 9504
- 9704 / 9704
- 9604 / 9604
- 9594 / 9594
Correct answer / सही उत्तर: C — 9604
∵ The number is 98
→ $98^2 = 98 \times 98$
→ $98 = 90 + 8$
→ $(90 + 8)^2 = 8100 + 1440 + 64$
∴ $98^2 = 9604$
∵ संख्या 98 है
→ $98^2 = 98 \times 98$
→ $98 = 90 + 8$
→ $(90 + 8)^2 = 8100 + 1440 + 64$
∴ $98^2 = 9604
What is the square of 85?
85 का वर्ग क्या है?
- 7215 / 7215
- 7225 / 7225
- 7125 / 7125
- 7325 / 7325
Correct answer / सही उत्तर: B — 7225
∵ The number is 85
→ $85^2 = 85 \times 85$
→ $85 = 80 + 5$
→ $(80 + 5)^2 = 6400 + 800 + 25$
∴ $85^2 = 7225$
∵ संख्या 85 है
→ $85^2 = 85 \times 85$
→ $85 = 80 + 5$
→ $(80 + 5)^2 = 6400 + 800 + 25$
∴ $85^2 = 7225
What is the square of 62?
62 का वर्ग क्या है?
- 3844 / 3844
- 3744 / 3744
- 3834 / 3834
- 3944 / 3944
Correct answer / सही उत्तर: A — 3844
∵ The number is 62
→ $62^2 = 62 \times 62$
→ $62 = 60 + 2$
→ $(60 + 2)^2 = 3600 + 240 + 4$
∴ $62^2 = 3844$
∵ संख्या 62 है
→ $62^2 = 62 \times 62$
→ $62 = 60 + 2$
→ $(60 + 2)^2 = 3600 + 240 + 4$
∴ $62^2 = 3844
What is the square of 47?
47 का वर्ग क्या है?
- 2209 / 2209
- 2199 / 2199
- 2309 / 2309
- 2109 / 2109
Correct answer / सही उत्तर: A — 2209
∵ The number is 47
→ $47^2 = 47 \times 47$
→ $47 = 50 - 3$
→ $(50 - 3)^2 = 2500 - 300 + 9$
∴ $47^2 = 2209$
∵ संख्या 47 है
→ $47^2 = 47 \times 47$
→ $47 = 50 - 3$
→ $(50 - 3)^2 = 2500 - 300 + 9$
∴ $47^2 = 2209
What is the value of 88 squared?
88 के वर्ग का मान क्या है?
- 7844 / 7844
- 7744 / 7744
- 7944 / 7944
- 7644 / 7644
Correct answer / सही उत्तर: B — 7744
∵ The number is 88
→ $88^2 = 88 \times 88$
→ $88 = 90 - 2$
→ $(90 - 2)^2 = 8100 - 360 + 4$
∴ $88^2 = 7744$
∵ संख्या 88 है
→ $88^2 = 88 \times 88$
→ $88 = 90 - 2$
→ $(90 - 2)^2 = 8100 - 360 + 4$
∴ $88^2 = 7744$
What is the square of 53?
53 का वर्ग क्या है?
- 2799 / 2799
- 2909 / 2909
- 2709 / 2709
- 2809 / 2809
Correct answer / सही उत्तर: D — 2809
∵ The number is 53
→ $53^2 = 53 \times 53$
→ $53 = 50 + 3$
→ $(50 + 3)^2 = 2500 + 300 + 9$
∴ $53^2 = 2809$
∵ संख्या 53 है
→ $53^2 = 53 \times 53$
→ $53 = 50 + 3$
→ $(50 + 3)^2 = 2500 + 300 + 9$
∴ $53^2 = 2809
What is the square of 92?
92 का वर्ग क्या है?
- 8454 / 8454
- 8364 / 8364
- 8564 / 8564
- 8464 / 8464
Correct answer / सही उत्तर: D — 8464
∵ The number is 92
→ $92^2 = 92 \times 92$
→ $92 = 90 + 2$
→ $(90 + 2)^2 = 8100 + 360 + 4$
∴ $92^2 = 8464$
∵ संख्या 92 है
→ $92^2 = 92 \times 92$
→ $92 = 90 + 2$
→ $(90 + 2)^2 = 8100 + 360 + 4$
∴ $92^2 = 8464
What is the square of 78?
78 का वर्ग क्या है?
- 6074 / 6074
- 5984 / 5984
- 6184 / 6184
- 6084 / 6084
Correct answer / सही उत्तर: D — 6084
∵ The number is 78
→ $78^2 = 78 \times 78$
→ $78 = 70 + 8$
→ $(70 + 8)^2 = 4900 + 1120 + 64$
∴ $78^2 = 6084$
∵ संख्या 78 है
→ $78^2 = 78 \times 78$
→ $78 = 70 + 8$
→ $(70 + 8)^2 = 4900 + 1120 + 64$
∴ $78^2 = 6084
What is the square of 87?
87 का वर्ग क्या है?
- 7569 / 7569
- 7469 / 7469
- 7559 / 7559
- 7669 / 7669
Correct answer / सही उत्तर: A — 7569
∵ The number is 87
→ $87^2 = 87 \times 87$
→ $87 = 80 + 7$
→ $(80 + 7)^2 = 6400 + 1120 + 49$
∴ $87^2 = 7569$
∵ संख्या 87 है
→ $87^2 = 87 \times 87$
→ $87 = 80 + 7$
→ $(80 + 7)^2 = 6400 + 1120 + 49$
∴ $87^2 = 7569
Calculate the square of 93.
93 के वर्ग की गणना कीजिए।
- 8649 / 8649
- 8449 / 8449
- 8549 / 8549
- 8749 / 8749
Correct answer / सही उत्तर: A — 8649
∵ The number is 93
→ $93^2 = 93 \times 93$
→ $93 = 90 + 3$
→ $(90 + 3)^2 = 8100 + 540 + 9$
∴ $93^2 = 8649$
∵ संख्या 93 है
→ $93^2 = 93 \times 93$
→ $93 = 90 + 3$
→ $(90 + 3)^2 = 8100 + 540 + 9$
∴ $93^2 = 8649$
```python
def generate_q(q_num, number):
sq = number ** 2
wrong1 = sq - 100
wrong2 = sq + 100
wrong3 = sq - 10
options = [wrong1, sq, wrong2, wrong3]
options.sort()
letters = ['A', 'B', 'C', 'D']
correct_idx = options.index(sq)
correct_ans = letters[correct_idx]
if number > 50:
base = (number // 10) * 10
diff = number - base
sign = "+"
step1 = f"{base} + {diff}"
step2 = f"({base} + {diff})^2 = {base**2} + {2*base*diff} + {diff**2}"
else:
base = ((number + 9) // 10) * 10
diff = base - number
sign = "-"
step1 = f"{base} - {diff}"
step2 = f"({base} - {diff})^2 = {base**2} - {2*base*diff} + {diff**2}"
out = f"Q{q_num}. What is the square of {number}?\n"
out += f"//HINDI// {number} का वर्ग क्या है?\n\n"
for i in range(4):
out += f"({letters[i]}) {options[i]} /HINDI {options[i]}\n"
out += f"\nIS_OPTION_BILINGUAL: YES\nIS_DIAGRAM: NO\nIS_OPTIONS_MISSING: NO\nPYQ: NO\nCORRECT_ANS: {correct_ans}\n\n"
out += f"EXPLAINATION_IN_ENG:\n"
out += f"∵ The number is {number}\n"
out += f"→ ${number}^2 = {number} \\times {number}$\n"
out += f"→ ${number} = {step1}$\n"
out += f"→ ${step2}$\n"
out += f"∴ ${number}^2 = {sq}$\n\n"
out += f"EXPLAINATION_IN_HINDI:\n"
out += f"∵ संख्या {number} है\n"
out += f"→ ${number}^2 = {number} \\times {number}$\n"
out += f"→ ${number} = {step1}$\n"
out += f"→ ${step2}$\n"
out += f"∴ ${number}^2 = {sq}\n"
return out
numbers = [84, 47, 56, 73, 91, 62, 49, 85, 53, 78, 64, 42, 98, 59, 87, 71, 46, 82, 67, 51, 95, 43, 79, 61, 89, 54, 74, 94, 66, 48]
res = ""
for i, n in enumerate(numbers):
res += generate_q(i+6, n) + "\n"
print(res)
```
```text
What is the square of 66?
66 का वर्ग क्या है?
- 4256 / 4256
- 4456 / 4456
- 4346 / 4346
- 4356 / 4356
Correct answer / सही उत्तर: D — 4356
∵ The number is 66
→ $66^2 = 66 \times 66$
→ $66 = 60 + 6$
→ $(60 + 6)^2 = 3600 + 720 + 36$
∴ $66^2 = 4356$
∵ संख्या 66 है
→ $66^2 = 66 \times 66$
→ $66 = 60 + 6$
→ $(60 + 6)^2 = 3600 + 720 + 36$
∴ $66^2 = 4356
What is the square of 95?
95 का वर्ग क्या है?
- 8925 / 8925
- 9025 / 9025
- 9125 / 9125
- 9015 / 9015
Correct answer / सही उत्तर: B — 9025
∵ The number is 95
→ $95^2 = 95 \times 95$
→ $95 = 90 + 5$
→ $(90 + 5)^2 = 8100 + 900 + 25$
∴ $95^2 = 9025$
∵ संख्या 95 है
→ $95^2 = 95 \times 95$
→ $95 = 90 + 5$
→ $(90 + 5)^2 = 8100 + 900 + 25$
∴ $95^2 = 9025
What is the square of 97?
97 का वर्ग क्या है?
- 9809 / 9809
- 9609 / 9609
- 9409 / 9409
- 9209 / 9209
Correct answer / सही उत्तर: C — 9409
∵ The number is 97
→ $97^2 = 97 \times 97$
→ $97 = 100 - 3$
→ $(100 - 3)^2 = 10000 - 600 + 9$
∴ $97^2 = 9409$
∵ संख्या 97 है
→ $97^2 = 97 \times 97$
→ $97 = 100 - 3$
→ $(100 - 3)^2 = 10000 - 600 + 9$
∴ $97^2 = 9409$
What is the square of 49?
49 का वर्ग क्या है?
- 2401 / 2401
- 2391 / 2391
- 2501 / 2501
- 2301 / 2301
Correct answer / सही उत्तर: A — 2401
∵ The number is 49
→ $49^2 = 49 \times 49$
→ $49 = 50 - 1$
→ $(50 - 1)^2 = 2500 - 100 + 1$
∴ $49^2 = 2401$
∵ संख्या 49 है
→ $49^2 = 49 \times 49$
→ $49 = 50 - 1$
→ $(50 - 1)^2 = 2500 - 100 + 1$
∴ $49^2 = 2401
What is the square of 62?
62 का वर्ग क्या है?
- 3944 / 3944
- 3744 / 3744
- 3844 / 3844
- 3834 / 3834
Correct answer / सही उत्तर: C — 3844
∵ The number is 62
→ $62^2 = 62 \times 62$
→ $62 = 60 + 2$
→ $(60 + 2)^2 = 3600 + 240 + 4$
∴ $62^2 = 3844$
∵ संख्या 62 है
→ $62^2 = 62 \times 62$
→ $62 = 60 + 2$
→ $(60 + 2)^2 = 3600 + 240 + 4$
∴ $62^2 = 3844
What is the square of 59?
59 का वर्ग क्या है?
- 3471 / 3471
- 3581 / 3581
- 3381 / 3381
- 3481 / 3481
Correct answer / सही उत्तर: D — 3481
∵ The number is 59
→ $59^2 = 59 \times 59$
→ $59 = 50 + 9$
→ $(50 + 9)^2 = 2500 + 900 + 81$
∴ $59^2 = 3481$
∵ संख्या 59 है
→ $59^2 = 59 \times 59$
→ $59 = 50 + 9$
→ $(50 + 9)^2 = 2500 + 900 + 81$
∴ $59^2 = 3481
What is the square of 81?
81 का वर्ग क्या है?
- 6561 / 6561
- 6551 / 6551
- 6661 / 6661
- 6461 / 6461
Correct answer / सही उत्तर: A — 6561
∵ The number is 81
→ $81^2 = 81 \times 81$
→ $81 = 80 + 1$
→ $(80 + 1)^2 = 6400 + 160 + 1$
∴ $81^2 = 6561$
∵ संख्या 81 है
→ $81^2 = 81 \times 81$
→ $81 = 80 + 1$
→ $(80 + 1)^2 = 6400 + 160 + 1$
∴ $81^2 = 6561
What is the square of 64?
64 का वर्ग क्या है?
- 4086 / 4086
- 3996 / 3996
- 4196 / 4196
- 4096 / 4096
Correct answer / सही उत्तर: D — 4096
∵ The number is 64
→ $64^2 = 64 \times 64$
→ $64 = 60 + 4$
→ $(60 + 4)^2 = 3600 + 480 + 16$
∴ $64^2 = 4096$
∵ संख्या 64 है
→ $64^2 = 64 \times 64$
→ $64 = 60 + 4$
→ $(60 + 4)^2 = 3600 + 480 + 16$
∴ $64^2 = 4096
What is the square of 42?
42 का वर्ग क्या है?
- 1864 / 1864
- 1664 / 1664
- 1754 / 1754
- 1764 / 1764
Correct answer / सही उत्तर: D — 1764
∵ The number is 42
→ $42^2 = 42 \times 42$
→ $42 = 50 - 8$
→ $(50 - 8)^2 = 2500 - 800 + 64$
∴ $42^2 = 1764$
∵ संख्या 42 है
→ $42^2 = 42 \times 42$
→ $42 = 50 - 8$
→ $(50 - 8)^2 = 2500 - 800 + 64$
∴ $42^2 = 1764
What is the square of 68?
68 का वर्ग क्या है?
- 4614 / 4614
- 4624 / 4624
- 4724 / 4724
- 4524 / 4524
Correct answer / सही उत्तर: B — 4624
∵ The number is 68
→ $68^2 = 68 \times 68$
→ $68 = 70 - 2$
→ $(70 - 2)^2 = 4900 - 280 + 4$
∴ $68^2 = 4624$
∵ संख्या 68 है
→ $68^2 = 68 \times 68$
→ $68 = 70 - 2$
→ $(70 - 2)^2 = 4900 - 280 + 4$
∴ $68^2 = 4624
What is the square of 57?
57 का वर्ग क्या है?
- 3249 / 3249
- 3149 / 3149
- 3239 / 3239
- 3349 / 3349
Correct answer / सही उत्तर: A — 3249
∵ The number is 57
→ $57^2 = 57 \times 57$
→ $57 = 60 - 3$
→ $(60 - 3)^2 = 3600 - 360 + 9$
∴ $57^2 = 3249$
∵ संख्या 57 है
→ $57^2 = 57 \times 57$
→ $57 = 60 - 3$
→ $(60 - 3)^2 = 3600 - 360 + 9$
∴ $57^2 = 3249
What is the square of 69?
69 का वर्ग क्या है?
- 4961 / 4961
- 4661 / 4661
- 4761 / 4761
- 4861 / 4861
Correct answer / सही उत्तर: C — 4761
∵ The number is 69
→ $69^2 = 69 \times 69$
→ $69 = 70 - 1$
→ $(70 - 1)^2 = 4900 - 140 + 1$
∴ $69^2 = 4761$
∵ संख्या 69 है
→ $69^2 = 69 \times 69$
→ $69 = 70 - 1$
→ $(70 - 1)^2 = 4900 - 140 + 1$
∴ $69^2 = 4761$
What is the square of 74?
74 का वर्ग क्या है?
- 5466 / 5466
- 5576 / 5576
- 5376 / 5376
- 5476 / 5476
Correct answer / सही उत्तर: D — 5476
∵ The number is 74
→ $74^2 = 74 \times 74$
→ $74 = 70 + 4$
→ $(70 + 4)^2 = 4900 + 560 + 16$
∴ $74^2 = 5476$
∵ संख्या 74 है
→ $74^2 = 74 \times 74$
→ $74 = 70 + 4$
→ $(70 + 4)^2 = 4900 + 560 + 16$
∴ $74^2 = 5476
What is the square of 89?
89 का वर्ग क्या है?
- 7821 / 7821
- 8021 / 8021
- 7921 / 7921
- 7911 / 7911
Correct answer / सही उत्तर: C — 7921
∵ The number is 89
→ $89^2 = 89 \times 89$
→ $89 = 80 + 9$
→ $(80 + 9)^2 = 6400 + 1440 + 81$
∴ $89^2 = 7921$
∵ संख्या 89 है
→ $89^2 = 89 \times 89$
→ $89 = 80 + 9$
→ $(80 + 9)^2 = 6400 + 1440 + 81$
∴ $89^2 = 7921
What is the square of 79?
79 का वर्ग क्या है?
- 6231 / 6231
- 6341 / 6341
- 6241 / 6241
- 6141 / 6141
Correct answer / सही उत्तर: C — 6241
∵ The number is 79
→ $79^2 = 79 \times 79$
→ $79 = 70 + 9$
→ $(70 + 9)^2 = 4900 + 1260 + 81$
∴ $79^2 = 6241$
∵ संख्या 79 है
→ $79^2 = 79 \times 79$
→ $79 = 70 + 9$
→ $(70 + 9)^2 = 4900 + 1260 + 81$
∴ $79^2 = 6241
What is the square of 57?
57 का वर्ग क्या है?
- 3239 / 3239
- 3349 / 3349
- 3149 / 3149
- 3249 / 3249
Correct answer / सही उत्तर: D — 3249
∵ The number is 57
→ $57^2 = 57 \times 57$
→ $57 = 60 - 3$
→ $(60 - 3)^2 = 3600 - 360 + 9$
∴ $57^2 = 3249$
∵ संख्या 57 है
→ $57^2 = 57 \times 57$
→ $57 = 60 - 3$
→ $(60 - 3)^2 = 3600 - 360 + 9$
∴ $57^2 = 3249
What is the square of 73?
73 का वर्ग क्या है?
- 5429 / 5429
- 5319 / 5319
- 5229 / 5229
- 5329 / 5329
Correct answer / सही उत्तर: D — 5329
∵ The number is 73
→ $73^2 = 73 \times 73$
→ $73 = 70 + 3$
→ $(70 + 3)^2 = 4900 + 420 + 9$
∴ $73^2 = 5329$
∵ संख्या 73 है
→ $73^2 = 73 \times 73$
→ $73 = 70 + 3$
→ $(70 + 3)^2 = 4900 + 420 + 9$
∴ $73^2 = 5329
What is the square of 48?
48 का वर्ग क्या है?
- 2304 / 2304
- 2204 / 2204
- 2294 / 2294
- 2404 / 2404
Correct answer / सही उत्तर: A — 2304
∵ The number is 48
→ $48^2 = 48 \times 48$
→ $48 = 50 - 2$
→ $(50 - 2)^2 = 2500 - 200 + 4$
∴ $48^2 = 2304$
∵ संख्या 48 है
→ $48^2 = 48 \times 48$
→ $48 = 50 - 2$
→ $(50 - 2)^2 = 2500 - 200 + 4$
∴ $48^2 = 2304
```python
def generate_q(q_num, number):
sq = number ** 2
wrong1 = sq - 100
wrong2 = sq + 100
wrong3 = sq - 10
options = [wrong1, sq, wrong2, wrong3]
options.sort()
letters = ['A', 'B', 'C', 'D']
correct_idx = options.index(sq)
correct_ans = letters[correct_idx]
if number > 50 and number not in [57, 68]:
base = (number // 10) * 10
diff = number - base
step1 = f"{base} + {diff}"
step2 = f"({base} + {diff})^2 = {base**2} + {2*base*diff} + {diff**2}"
else:
base = ((number + 9) // 10) * 10
diff = base - number
step1 = f"{base} - {diff}"
step2 = f"({base} - {diff})^2 = {base**2} - {2*base*diff} + {diff**2}"
out = f"Q{q_num}. What is the square of {number}?\n"
out += f"//HINDI// {number} का वर्ग क्या है?\n\n"
for i in range(4):
out += f"({letters[i]}) {options[i]} /HINDI {options[i]}\n"
out += f"\nIS_OPTION_BILINGUAL: YES\nIS_DIAGRAM: NO\nIS_OPTIONS_MISSING: NO\nPYQ: NO\nCORRECT_ANS: {correct_ans}\n\n"
out += f"EXPLAINATION_IN_ENG:\n"
out += f"∵ The number is {number}\n"
out += f"→ ${number}^2 = {number} \\times {number}$\n"
out += f"→ ${number} = {step1}$\n"
out += f"→ ${step2}$\n"
out += f"∴ ${number}^2 = {sq}$\n\n"
out += f"EXPLAINATION_IN_HINDI:\n"
out += f"∵ संख्या {number} है\n"
out += f"→ ${number}^2 = {number} \\times {number}$\n"
out += f"→ ${number} = {step1}$\n"
out += f"→ ${step2}$\n"
out += f"∴ ${number}^2 = {sq}\n"
return out
numbers = [81, 68, 57, 92, 75]
res = ""
for i, n in enumerate(numbers):
res += generate_q(i+36, n) + "\n"
print(res)
```
```text
What is the square of 75?
75 का वर्ग क्या है?
- 5625 / 5625
- 5725 / 5725
- 5615 / 5615
- 5525 / 5525
Correct answer / सही उत्तर: A — 5625
∵ The number is 75
→ $75^2 = 75 \times 75$
→ $75 = 70 + 5$
→ $(70 + 5)^2 = 4900 + 700 + 25$
∴ $75^2 = 5625$
∵ संख्या 75 है
→ $75^2 = 75 \times 75$
→ $75 = 70 + 5$
→ $(70 + 5)^2 = 4900 + 700 + 25$
∴ $75^2 = 5625
What is the square of 98?
98 का वर्ग क्या है?
- 9504 / 9504
- 9604 / 9604
- 9594 / 9594
- 9704 / 9704
Correct answer / सही उत्तर: B — 9604
∵ The number is 98
→ $98^2 = 98 \times 98$
→ $98 = 90 + 8$
→ $(90 + 8)^2 = 8100 + 1440 + 64$
∴ $98^2 = 9604$
∵ संख्या 98 है
→ $98^2 = 98 \times 98$
→ $98 = 90 + 8$
→ $(90 + 8)^2 = 8100 + 1440 + 64$
∴ $98^2 = 9604
What is the square of 54?
54 का वर्ग क्या है?
- 3016 / 3016
- 2816 / 2816
- 2916 / 2916
- 2906 / 2906
Correct answer / सही उत्तर: C — 2916
∵ The number is 54
→ $54^2 = 54 \times 54$
→ $54 = 50 + 4$
→ $(50 + 4)^2 = 2500 + 400 + 16$
∴ $54^2 = 2916$
∵ संख्या 54 है
→ $54^2 = 54 \times 54$
→ $54 = 50 + 4$
→ $(50 + 4)^2 = 2500 + 400 + 16$
∴ $54^2 = 2916
What is the square of 67?
67 का वर्ग क्या है?
- 4389 / 4389
- 4489 / 4489
- 4479 / 4479
- 4589 / 4589
Correct answer / सही उत्तर: B — 4489
∵ The number is 67
→ $67^2 = 67 \times 67$
→ $67 = 60 + 7$
→ $(60 + 7)^2 = 3600 + 840 + 49$
∴ $67^2 = 4489$
∵ संख्या 67 है
→ $67^2 = 67 \times 67$
→ $67 = 60 + 7$
→ $(60 + 7)^2 = 3600 + 840 + 49$
∴ $67^2 = 4489
What is the square of 91?
91 का वर्ग क्या है?
- 8381 / 8381
- 8281 / 8281
- 8181 / 8181
- 8271 / 8271
Correct answer / सही उत्तर: B — 8281
∵ The number is 91
→ $91^2 = 91 \times 91$
→ $91 = 90 + 1$
→ $(90 + 1)^2 = 8100 + 180 + 1$
∴ $91^2 = 8281$
∵ संख्या 91 है
→ $91^2 = 91 \times 91$
→ $91 = 90 + 1$
→ $(90 + 1)^2 = 8100 + 180 + 1$
∴ $91^2 = 8281
What is the square of 84?
84 का वर्ग क्या है?
- 6956 / 6956
- 7056 / 7056
- 7046 / 7046
- 7156 / 7156
Correct answer / सही उत्तर: B — 7056
∵ The number is 84
→ $84^2 = 84 \times 84$
→ $84 = 80 + 4$
→ $(80 + 4)^2 = 6400 + 640 + 16$
∴ $84^2 = 7056$
∵ संख्या 84 है
→ $84^2 = 84 \times 84$
→ $84 = 80 + 4$
→ $(80 + 4)^2 = 6400 + 640 + 16$
∴ $84^2 = 7056
What is the square of 61?
61 का वर्ग क्या है?
- 3621 / 3621
- 3821 / 3821
- 3721 / 3721
- 3711 / 3711
Correct answer / सही उत्तर: C — 3721
∵ The number is 61
→ $61^2 = 61 \times 61$
→ $61 = 60 + 1$
→ $(60 + 1)^2 = 3600 + 120 + 1$
∴ $61^2 = 3721$
∵ संख्या 61 है
→ $61^2 = 61 \times 61$
→ $61 = 60 + 1$
→ $(60 + 1)^2 = 3600 + 120 + 1$
∴ $61^2 = 3721
What is the square of 91?
91 का वर्ग क्या है?
- 8381 / 8381
- 8271 / 8271
- 8181 / 8181
- 8281 / 8281
Correct answer / सही उत्तर: D — 8281
∵ The number is 91
→ $91^2 = 91 \times 91$
→ $91 = 90 + 1$
→ $(90 + 1)^2 = 8100 + 180 + 1$
∴ $91^2 = 8281$
∵ संख्या 91 है
→ $91^2 = 91 \times 91$
→ $91 = 90 + 1$
→ $(90 + 1)^2 = 8100 + 180 + 1$
∴ $91^2 = 8281
What is the square of 73?
73 का वर्ग क्या है?
- 5229 / 5229
- 5319 / 5319
- 5329 / 5329
- 5429 / 5429
Correct answer / सही उत्तर: C — 5329
∵ The number is 73
→ $73^2 = 73 \times 73$
→ $73 = 70 + 3$
→ $(70 + 3)^2 = 4900 + 420 + 9$
∴ $73^2 = 5329$
∵ संख्या 73 है
→ $73^2 = 73 \times 73$
→ $73 = 70 + 3$
→ $(70 + 3)^2 = 4900 + 420 + 9$
∴ $73^2 = 5329
What is the square of 54?
54 का वर्ग क्या है?
- 2916 / 2916
- 2816 / 2816
- 3016 / 3016
- 2906 / 2906
Correct answer / सही उत्तर: A — 2916
∵ The number is 54
→ $54^2 = 54 \times 54$
→ $54 = 50 + 4$
→ $(50 + 4)^2 = 2500 + 400 + 16$
∴ $54^2 = 2916$
∵ संख्या 54 है
→ $54^2 = 54 \times 54$
→ $54 = 50 + 4$
→ $(50 + 4)^2 = 2500 + 400 + 16$
∴ $54^2 = 2916
What is the square of 95?
95 का वर्ग क्या है?
- 9015 / 9015
- 9125 / 9125
- 9025 / 9025
- 8925 / 8925
Correct answer / सही उत्तर: C — 9025
∵ The number is 95
→ $95^2 = 95 \times 95$
→ $95 = 90 + 5$
→ $(90 + 5)^2 = 8100 + 900 + 25$
∴ $95^2 = 9025$
∵ संख्या 95 है
→ $95^2 = 95 \times 95$
→ $95 = 90 + 5$
→ $(90 + 5)^2 = 8100 + 900 + 25$
∴ $95^2 = 9025
What is the square of 46?
46 का वर्ग क्या है?
- 2216 / 2216
- 2106 / 2106
- 2116 / 2116
- 2016 / 2016
Correct answer / सही उत्तर: C — 2116
∵ The number is 46
→ $46^2 = 46 \times 46$
→ $46 = 50 - 4$
→ $(50 - 4)^2 = 2500 - 400 + 16$
∴ $46^2 = 2116$
∵ संख्या 46 है
→ $46^2 = 46 \times 46$
→ $46 = 50 - 4$
→ $(50 - 4)^2 = 2500 - 400 + 16$
∴ $46^2 = 2116
What is the square of 89?
89 का वर्ग क्या है?
- 7921 / 7921
- 8021 / 8021
- 7821 / 7821
- 7911 / 7911
Correct answer / सही उत्तर: A — 7921
∵ The number is 89
→ $89^2 = 89 \times 89$
→ $89 = 80 + 9$
→ $(80 + 9)^2 = 6400 + 1440 + 81$
∴ $89^2 = 7921$
∵ संख्या 89 है
→ $89^2 = 89 \times 89$
→ $89 = 80 + 9$
→ $(80 + 9)^2 = 6400 + 1440 + 81$
∴ $89^2 = 7921
What is the square of 74?
74 का वर्ग क्या है?
- 5576 / 5576
- 5476 / 5476
- 5466 / 5466
- 5376 / 5376
Correct answer / सही उत्तर: B — 5476
∵ The number is 74
→ $74^2 = 74 \times 74$
→ $74 = 70 + 4$
→ $(70 + 4)^2 = 4900 + 560 + 16$
∴ $74^2 = 5476$
∵ संख्या 74 है
→ $74^2 = 74 \times 74$
→ $74 = 70 + 4$
→ $(70 + 4)^2 = 4900 + 560 + 16$
∴ $74^2 = 5476
What is the square of 66?
66 का वर्ग क्या है?
- 4346 / 4346
- 4356 / 4356
- 4456 / 4456
- 4256 / 4256
Correct answer / सही उत्तर: B — 4356
∵ The number is 66
→ $66^2 = 66 \times 66$
→ $66 = 60 + 6$
→ $(60 + 6)^2 = 3600 + 720 + 36$
∴ $66^2 = 4356$
∵ संख्या 66 है
→ $66^2 = 66 \times 66$
→ $66 = 60 + 6$
→ $(60 + 6)^2 = 3600 + 720 + 36$
∴ $66^2 = 4356
What is the square of 43?
43 का वर्ग क्या है?
- 1849 / 1849
- 1949 / 1949
- 1749 / 1749
- 1839 / 1839
Correct answer / सही उत्तर: A — 1849
∵ The number is 43
→ $43^2 = 43 \times 43$
→ $43 = 50 - 7$
→ $(50 - 7)^2 = 2500 - 700 + 49$
∴ $43^2 = 1849$
∵ संख्या 43 है
→ $43^2 = 43 \times 43$
→ $43 = 50 - 7$
→ $(50 - 7)^2 = 2500 - 700 + 49$
∴ $43^2 = 1849
What is the square of 82?
82 का वर्ग क्या है?
- 6724 / 6724
- 6824 / 6824
- 6714 / 6714
- 6624 / 6624
Correct answer / सही उत्तर: A — 6724
∵ The number is 82
→ $82^2 = 82 \times 82$
→ $82 = 80 + 2$
→ $(80 + 2)^2 = 6400 + 320 + 4$
∴ $82^2 = 6724$
∵ संख्या 82 है
→ $82^2 = 82 \times 82$
→ $82 = 80 + 2$
→ $(80 + 2)^2 = 6400 + 320 + 4$
∴ $82^2 = 6724
What is the square of 53?
53 का वर्ग क्या है?
- 2809 / 2809
- 2709 / 2709
- 2909 / 2909
- 2799 / 2799
Correct answer / सही उत्तर: A — 2809
∵ The number is 53
→ $53^2 = 53 \times 53$
→ $53 = 50 + 3$
→ $(50 + 3)^2 = 2500 + 300 + 9$
∴ $53^2 = 2809$
∵ संख्या 53 है
→ $53^2 = 53 \times 53$
→ $53 = 50 + 3$
→ $(50 + 3)^2 = 2500 + 300 + 9$
∴ $53^2 = 2809
What is the square of 75?
75 का वर्ग क्या है?
- 5525 / 5525
- 5725 / 5725
- 5625 / 5625
- 5615 / 5615
Correct answer / सही उत्तर: C — 5625
∵ The number is 75
→ $75^2 = 75 \times 75$
→ $75 = 70 + 5$
→ $(70 + 5)^2 = 4900 + 700 + 25$
∴ $75^2 = 5625$
∵ संख्या 75 है
→ $75^2 = 75 \times 75$
→ $75 = 70 + 5$
→ $(70 + 5)^2 = 4900 + 700 + 25$
∴ $75^2 = 5625
```
What is the square of 51?
51 का वर्ग क्या है?
- 2701 / 2701
- 2501 / 2501
- 2591 / 2591
- 2601 / 2601
Correct answer / सही उत्तर: D — 2601
∵ The number is 51
→ $51^2 = 51 \times 51$
→ $51 = 50 + 1$
→ $(50 + 1)^2 = 2500 + 100 + 1$
∴ $51^2 = 2601$
∵ संख्या 51 है
→ $51^2 = 51 \times 51$
→ $51 = 50 + 1$
→ $(50 + 1)^2 = 2500 + 100 + 1$
∴ $51^2 = 2601
What is the square of 51?
51 का वर्ग क्या है?
- 2701 / 2701
- 2601 / 2601
- 2501 / 2501
- 2591 / 2591
Correct answer / सही उत्तर: B — 2601
∵ The number is 51
→ $51^2 = 51 \times 51$
→ $51 = 50 + 1$
→ $(50 + 1)^2 = 2500 + 100 + 1$
∴ $51^2 = 2601$
∵ संख्या 51 है
→ $51^2 = 51 \times 51$
→ $51 = 50 + 1$
→ $(50 + 1)^2 = 2500 + 100 + 1$
∴ $51^2 = 2601
What is the square of 71?
71 का वर्ग क्या है?
- 5041 / 5041
- 4941 / 4941
- 5141 / 5141
- 5031 / 5031
Correct answer / सही उत्तर: A — 5041
∵ The number is 71
→ $71^2 = 71 \times 71$
→ $71 = 70 + 1$
→ $(70 + 1)^2 = 4900 + 140 + 1$
∴ $71^2 = 5041$
∵ संख्या 71 है
→ $71^2 = 71 \times 71$
→ $71 = 70 + 1$
→ $(70 + 1)^2 = 4900 + 140 + 1$
∴ $71^2 = 5041
What is the square of 84?
84 का वर्ग क्या है?
- 7056 / 7056
- 7156 / 7156
- 6956 / 6956
- 7046 / 7046
Correct answer / सही उत्तर: A — 7056
∵ The number is 84
→ $84^2 = 84 \times 84$
→ $84 = 80 + 4$
→ $(80 + 4)^2 = 6400 + 640 + 16$
∴ $84^2 = 7056$
∵ संख्या 84 है
→ $84^2 = 84 \times 84$
→ $84 = 80 + 4$
→ $(80 + 4)^2 = 6400 + 640 + 16$
∴ $84^2 = 7056
What is the square of 94?
94 का वर्ग क्या है?
- 8736 / 8736
- 8836 / 8836
- 8936 / 8936
- 8826 / 8826
Correct answer / सही उत्तर: B — 8836
∵ The number is 94
→ $94^2 = 94 \times 94$
→ $94 = 90 + 4$
→ $(90 + 4)^2 = 8100 + 720 + 16$
∴ $94^2 = 8836$
∵ संख्या 94 है
→ $94^2 = 94 \times 94$
→ $94 = 90 + 4$
→ $(90 + 4)^2 = 8100 + 720 + 16$
∴ $94^2 = 8836
What is the square of 61?
61 का वर्ग क्या है?
- 3721 / 3721
- 3621 / 3621
- 3711 / 3711
- 3821 / 3821
Correct answer / सही उत्तर: A — 3721
∵ The number is 61
→ $61^2 = 61 \times 61$
→ $61 = 60 + 1$
→ $(60 + 1)^2 = 3600 + 120 + 1$
∴ $61^2 = 3721$
∵ संख्या 61 है
→ $61^2 = 61 \times 61$
→ $61 = 60 + 1$
→ $(60 + 1)^2 = 3600 + 120 + 1$
∴ $61^2 = 3721
What is the square of 43?
43 का वर्ग क्या है?
- 1949 / 1949
- 1839 / 1839
- 1849 / 1849
- 1749 / 1749
Correct answer / सही उत्तर: C — 1849
∵ The number is 43
→ $43^2 = 43 \times 43$
→ $43 = 50 - 7$
→ $(50 - 7)^2 = 2500 - 700 + 49$
∴ $43^2 = 1849$
∵ संख्या 43 है
→ $43^2 = 43 \times 43$
→ $43 = 50 - 7$
→ $(50 - 7)^2 = 2500 - 700 + 49$
∴ $43^2 = 1849
What is the square of 56?
56 का वर्ग क्या है?
- 3126 / 3126
- 3036 / 3036
- 3136 / 3136
- 3236 / 3236
Correct answer / सही उत्तर: C — 3136
∵ The number is 56
→ $56^2 = 56 \times 56$
→ $56 = 50 + 6$
→ $(50 + 6)^2 = 2500 + 600 + 36$
∴ $56^2 = 3136$
∵ संख्या 56 है
→ $56^2 = 56 \times 56$
→ $56 = 50 + 6$
→ $(50 + 6)^2 = 2500 + 600 + 36$
∴ $56^2 = 3136
What is the square of 79?
79 का वर्ग क्या है?
- 6231 / 6231
- 6241 / 6241
- 6141 / 6141
- 6341 / 6341
Correct answer / सही उत्तर: B — 6241
∵ The number is 79
→ $79^2 = 79 \times 79$
→ $79 = 70 + 9$
→ $(70 + 9)^2 = 4900 + 1260 + 81$
∴ $79^2 = 6241$
∵ संख्या 79 है
→ $79^2 = 79 \times 79$
→ $79 = 70 + 9$
→ $(70 + 9)^2 = 4900 + 1260 + 81$
∴ $79^2 = 6241
Find the square of 76.
76 का वर्ग ज्ञात कीजिए।
- 5876 / 5876
- 5976 / 5976
- 5776 / 5776
- 5676 / 5676
Correct answer / सही उत्तर: C — 5776
∵ The number is 76
→ $76^2 = 76 \times 76$
→ $76 = 70 + 6$
→ $(70 + 6)^2 = 4900 + 840 + 36$
∴ $76^2 = 5776$
∵ संख्या 76 है
→ $76^2 = 76 \times 76$
→ $76 = 70 + 6$
→ $(70 + 6)^2 = 4900 + 840 + 36$
∴ $76^2 = 5776$
What is the square of 71?
71 का वर्ग क्या है?
- 5141 / 5141
- 5041 / 5041
- 5031 / 5031
- 4941 / 4941
Correct answer / सही उत्तर: B — 5041
∵ The number is 71
→ $71^2 = 71 \times 71$
→ $71 = 70 + 1$
→ $(70 + 1)^2 = 4900 + 140 + 1$
∴ $71^2 = 5041$
∵ संख्या 71 है
→ $71^2 = 71 \times 71$
→ $71 = 70 + 1$
→ $(70 + 1)^2 = 4900 + 140 + 1$
∴ $71^2 = 5041
What is the square of 78?
78 का वर्ग क्या है?
- 6184 / 6184
- 6084 / 6084
- 6074 / 6074
- 5984 / 5984
Correct answer / सही उत्तर: B — 6084
∵ The number is 78
→ $78^2 = 78 \times 78$
→ $78 = 70 + 8$
→ $(70 + 8)^2 = 4900 + 1120 + 64$
∴ $78^2 = 6084$
∵ संख्या 78 है
→ $78^2 = 78 \times 78$
→ $78 = 70 + 8$
→ $(70 + 8)^2 = 4900 + 1120 + 64$
∴ $78^2 = 6084
What is the square of 59?
59 का वर्ग क्या है?
- 3471 / 3471
- 3581 / 3581
- 3481 / 3481
- 3381 / 3381
Correct answer / सही उत्तर: C — 3481
∵ The number is 59
→ $59^2 = 59 \times 59$
→ $59 = 50 + 9$
→ $(50 + 9)^2 = 2500 + 900 + 81$
∴ $59^2 = 3481$
∵ संख्या 59 है
→ $59^2 = 59 \times 59$
→ $59 = 50 + 9$
→ $(50 + 9)^2 = 2500 + 900 + 81$
∴ $59^2 = 3481
What is the square of 64?
64 का वर्ग क्या है?
- 3996 / 3996
- 4096 / 4096
- 4086 / 4086
- 4196 / 4196
Correct answer / सही उत्तर: B — 4096
∵ The number is 64
→ $64^2 = 64 \times 64$
→ $64 = 60 + 4$
→ $(60 + 4)^2 = 3600 + 480 + 16$
∴ $64^2 = 4096$
∵ संख्या 64 है
→ $64^2 = 64 \times 64$
→ $64 = 60 + 4$
→ $(60 + 4)^2 = 3600 + 480 + 16$
∴ $64^2 = 4096
What is the square of 87?
87 का वर्ग क्या है?
- 7569 / 7569
- 7469 / 7469
- 7669 / 7669
- 7559 / 7559
Correct answer / सही उत्तर: A — 7569
∵ The number is 87
→ $87^2 = 87 \times 87$
→ $87 = 80 + 7$
→ $(80 + 7)^2 = 6400 + 1120 + 49$
∴ $87^2 = 7569$
∵ संख्या 87 है
→ $87^2 = 87 \times 87$
→ $87 = 80 + 7$
→ $(80 + 7)^2 = 6400 + 1120 + 49$
∴ $87^2 = 7569
What is the square of 68?
68 का वर्ग क्या है?
- 4524 / 4524
- 4724 / 4724
- 4624 / 4624
- 4614 / 4614
Correct answer / सही उत्तर: C — 4624
∵ The number is 68
→ $68^2 = 68 \times 68$
→ $68 = 70 - 2$
→ $(70 - 2)^2 = 4900 - 280 + 4$
∴ $68^2 = 4624$
∵ संख्या 68 है
→ $68^2 = 68 \times 68$
→ $68 = 70 - 2$
→ $(70 - 2)^2 = 4900 - 280 + 4$
∴ $68^2 = 4624
What is the square of 48?
48 का वर्ग क्या है?
- 2294 / 2294
- 2204 / 2204
- 2404 / 2404
- 2304 / 2304
Correct answer / सही उत्तर: D — 2304
∵ The number is 48
→ $48^2 = 48 \times 48$
→ $48 = 50 - 2$
→ $(50 - 2)^2 = 2500 - 200 + 4$
∴ $48^2 = 2304$
∵ संख्या 48 है
→ $48^2 = 48 \times 48$
→ $48 = 50 - 2$
→ $(50 - 2)^2 = 2500 - 200 + 4$
∴ $48^2 = 2304
```
What is the square of 85?
85 का वर्ग क्या है?
- 7325 / 7325
- 7125 / 7125
- 7215 / 7215
- 7225 / 7225
Correct answer / सही उत्तर: D — 7225
∵ The number is 85
→ $85^2 = 85 \times 85$
→ $85 = 80 + 5$
→ $(80 + 5)^2 = 6400 + 800 + 25$
∴ $85^2 = 7225$
∵ संख्या 85 है
→ $85^2 = 85 \times 85$
→ $85 = 80 + 5$
→ $(80 + 5)^2 = 6400 + 800 + 25$
∴ $85^2 = 7225
What is the square of 47?
47 का वर्ग क्या है?
- 2109 / 2109
- 2309 / 2309
- 2209 / 2209
- 2199 / 2199
Correct answer / सही उत्तर: C — 2209
∵ The number is 47
→ $47^2 = 47 \times 47$
→ $47 = 50 - 3$
→ $(50 - 3)^2 = 2500 - 300 + 9$
∴ $47^2 = 2209$
∵ संख्या 47 है
→ $47^2 = 47 \times 47$
→ $47 = 50 - 3$
→ $(50 - 3)^2 = 2500 - 300 + 9$
∴ $47^2 = 2209