InterviewSolution
Saved Bookmarks
InterviewSolution
This section includes InterviewSolutions, each offering curated multiple-choice questions to sharpen your knowledge and support exam preparation. Choose a topic below to get started.
| 151. |
`7^(105)` में इकाई स्थान का अंक क्या होगा ?A. 5B. 7C. 9D. 1 |
|
Answer» Correct Answer - B `7^(105)implies` `7^(1)to7to7` `7^(2)to49to49` `7^(3)to343to3` `7^(4)to2401to1` 7 की घात को 4 विभाजित करने पर `105/4to "remainder" =1rarr7^(1)` is left इकाई अंक `=1xx7=7` |
|
| 152. |
एक संख्या का तीन चौथाई भाग का `2/3` बराबर है।A. `1/2` of the numberB. `1/3` of the numberC. `8/9` of the numberD. `17/12` of the number |
|
Answer» Correct Answer - A `2/3xx3/4` `n` संख्या है। `1/2n` |
|
| 153. |
भिन्न `4/3, -2/9, -7/8, 5/12` को यदि आरोहण क्रम में लिखना हो तो किस प्रकार लिखा जाएगा:A. `-2/9-7/8, 4/3, 5/12`B. `-7/8-2/9, 5/12, 4/3`C. `-7/8-2/9, 4/3, 5/12`D. `-2/9-7/8,5/12,4/3` |
|
Answer» Correct Answer - B `4/3, (-2)/9, (-7)/8,5/12` `4/3=1.33` `(-2)/9=-0.22` `(-7)/8=-0.875` `5/12=0.416` So, `(-7)/8, (-2)/9, 5/12, 4/3` |
|
| 154. |
निम्न मे से `2/5` और `4/9` के बीच उपस्थित भिन्न है।A. `3/7`B. `2/3`C. `4/5`D. `1/2` |
|
Answer» Correct Answer - A `2/5=0.40, 4/9=0.44` `3/7=0.43 2/3=0.66` `4/5=0.80 1/2=0.50` स्पष्टतः भिन्न `3/7, 2/5` और `4/9` के बीच उपस्थित है। |
|
| 155. |
जब `n` को 5 से विभाजित किया जाता है तो 2 शेष प्राप्त होता है तब `n^(2)` को 5 को विभाजित किया जाए तो शेष क्या होगा?A. 2B. 3C. 1D. 4 |
|
Answer» Correct Answer - D `n/5implies` शेषफल 1 If we put `n=7` Then it satisfies above situation So `n=7` यदि `n=7` रखते है तो यह उपरोक्त स्थिति को संतुष्ट करता है। `(n^(2))/5=(7^(2))/5=49/5` `implies` reamainder `=4` |
|
| 156. |
67 और 101 के बीच कितनी संयुक्त संख्याएं हैं?A. 27B. 24C. 26D. 23 |
|
Answer» Correct Answer - A यौगिक संख्याऐं 1 से बड़ी प्राकृतिक संख्यायें जो अभाज्य नहीं है यौगिक संख्यायें कहलाती है। e.g. 4,6,9,14,15,etc total no are 27 |
|
| 157. |
एक अधिकतम भिन्न का अंतर `17/72` है तो भिन्न ज्ञात करें।A. `9/8`B. `8/9`C. `5/8`D. `7/9` |
|
Answer» Correct Answer - B विकल्प की सहायता `8/9` उचित भिन्न `=8/9` भिन्न का व्युत्क्रम `=9/8` According to question `9/8-8/9=(81-64)/72=17/72` satisfied |
|
| 158. |
0.393939.......... किसके बराबर है?A. `39/100`B. `13/33`C. `93/100`D. `39/990` |
|
Answer» Correct Answer - B `0.393939………….` `.bar39=39/99=13/33` |
|
| 159. |
`3.718=1/0.2689` दिया गया है तो `1/0.0003718` किसक बराबर होगा ?A. 2689B. 2.689C. 26890D. 0.2689 |
|
Answer» Correct Answer - A `3.817=1/0.2689` given `1/0.0003718=10000/3.718` `=(10000xx0.2689)/1=2689` |
|
| 160. |
`0.bar(142857)-:0.bar(285712)=?`A. 10B. 2C. `1/2`D. `1/3` |
|
Answer» Correct Answer - C `0.bar(142857)=:0.bar(285714)` `142857/999999-:285714/999999=142857/285714` `=1/2` |
|
| 161. |
यदि= `a` तथा `b` दो अलग-अलग प्राकृत संख्याएं है तो इनमें कौन सा कथन सत्य है?A. `sqrt(a+b)gtsqrt(a)+sqrt(b)`B. `sqrt(a+b)=sqrt(a)+sqrt(b)`C. `sqrt(a+b)+ltsqrt(a)+sqrt(b)`D. `ab=1` |
|
Answer» Correct Answer - C `sqrt(a+b)` and `sqrt(a)+sqrt(b)` दोनों तरफ वर्ग करने पर `impliesa+b` ^ `a+b+2sqrt(a).sqrt(b)` So `sqrt(a+b)lt sqrt(a)+sqrt(b)` |
|
| 162. |
यदि `a` तथा `b` विषम संख्याएं है, तो इनमें से कौन सम है?A. `a+b+ab`B. `a+b-1`C. `a+b+1`D. `a+b+2ab` |
|
Answer» Correct Answer - D `a+b+2ab` is even व्याख्या: दो विषम संख्याओं का योग सम प्राप्त होता है। तथा दो विषम संख्या का गुणनफल 2 के साथ सम संख्या देता है। Alternate `(a=3,b=5` रखने पर विकल्प `d` संतुष्ट होता है। |
|
| 163. |
दो दल `A` और `B` हैं। यदि 3 लोग `A` दल से `B` में चले जाते हैं तो `B` दल में सदस्यों की संख्या दल `A` से 3 गुनी हो जाती है। यदि 2 लोगों को दल `B` से `A` से दोगुने सदस्य हो जाते हैं। दल `B` में मूलतः कितने सदस्य थे?A. 15B. 18C. 42D. 45 |
|
Answer» Correct Answer - C `(A-3)/(B+3)=1/2` and `(A+2)/(B-2)=1/2` `3A-9=B+3, 2A+4B-2` `implies3A=B=12` `implies2A-B=-6` On solving `A=18, B=42` |
|
| 164. |
5 के उन सभी धनात्मक गुणांकों का योग ज्ञात करें जो 100 से कम है।A. 925B. 960C. 950D. 990 |
|
Answer» Correct Answer - C यह एक समांतर श्रेणी है। Number of terms `(n)` `= ("Last Term" - "First Term") / ("Difference")+1` `impliesn=(95/5)/5+1=19` So sum `n/2[2a+(n-1)d]` Here `a=5, n=19, d=5` Sum `=19/2[10+19-14)5]` `=950` |
|
| 165. |
एक संख्या जब 5 से विभाजित की जाती है तो 3 शेष बचता है। तो उसी संख्या के वर्ग को 5 से विभाजित करने पर क्या शेष बचेगा ?A. 1B. 2C. 3D. 4 |
|
Answer» Correct Answer - D Let no be 8 `implies(8^(2))/5=64/5=4` remainder |
|
| 166. |
एक स्कूल ग्रुप एक जैसी तीन बसें भाड़े पर लेता है और `4/5` सीटें घेरता है। `1/4` यात्रियों के चले जाने के बाद शेष यात्री केवल दो बसें इस्तेमाल करते हैं। अब दो बसों में घेरी गई सीटों की भिन्न क्या होगी?A. `8/9`B. `7/9`C. `7/10`D. `9/10` |
|
Answer» Correct Answer - D माना कि तीनों बसों की क्षमता 15 है। एक बस की क्षमता `=15/13=5` `4/5` sets are full hence `=15xx4/5=12` Now, `1/4` th passengers leave the bus `=12xx1/4=3` and no of remaining passengers `=12-3=9` यात्रियों की संख्या एक भिन्न है। `=(“Rest passengers”)/("capacity of two buses”)=9/10` |
|
| 167. |
369 के आधे भाग का `2//3` भाग क्या होगा।A. 123B. 246C. `246 3/8`D. `271 3/8` |
|
Answer» Correct Answer - A `2/3xx1/2xx369=123` |
|
| 168. |
1 % के आधे को दशमलव में लिखा जा सकता है।A. `0.2`B. `0.02`C. `0.05`D. `0.005` |
|
Answer» Correct Answer - D `1/2` of `1%` `implies1/2xx1/100=1/200=0.005` |
|
| 169. |
एक खिलाड़ी 5 चक्कर की दौड़ में `1 1/4` चक्कर लगा लेता है, तो दौड़ का कितना भाग शेष है।A. `15//4`B. `4//5`C. `5//6`D. `2//3` |
|
Answer» Correct Answer - A दौड़ी जाने वाली शेष दूरी `=5-5/4` `=(20-5)/4=15/4` taps |
|
| 170. |
`(0.bar11+0.bar22)xx3` किसके बराबर हैA. 3B. `1.bar9`C. 1D. `0.bar3` |
|
Answer» Correct Answer - C `(0.bar11+0.bar22)xx3` `=(11/99+22/99)xx3=33/99xx3=33/33=1` |
|
| 171. |
The number of common prime factors of 75, 60, 105 is (A) 2 (B) 3 (C) 4 (D) 5 |
| Answer» The correct option is (A) 2. | |
| 172. |
The sum of the prime factors of 1729 is (A) 13 (B) 19 (C) 32 (D) 39 |
| Answer» The correct option is (D) 39. | |
| 173. |
A number is divisible by 5 and 6. It may not be divisible by (A) 10 (B) 15 (C) 30 (D) 60 |
| Answer» The correct option is (D) 60. | |
| 174. |
The smallest 6 digit natural number ending in 5 is _____. |
|
Answer» The smallest 6 digit natural number ending in 5 is 100005. |
|
| 175. |
Whole numbers are closed under _____ and under_____. |
|
Answer» addition, multiplication |
|
| 176. |
Natural numbers are closed under _____ and under_____. |
| Answer» addition, multiplication | |
| 177. |
State whether the given statements are true (T) or false (F).Addition is commutative for natural numbers. |
|
Answer» Addition is commutative for natural numbers. True |
|
| 178. |
State whether the given statements are true (T) or false (F).Natural numbers are closed under subtraction. |
|
Answer» Natural numbers are closed under subtraction. False |
|
| 179. |
State whether the given statements are true (T) or false (F).Natural numbers are closed under addition. |
|
Answer» Natural numbers are closed under addition. True |
|
| 180. |
State whether the given statements are true (T) or false (F).If a whole number is divided by another whole number, which is greater than the first one, the quotient is not equal to zero. |
|
Answer» If a whole number is divided by another whole number, which is greater than the first one, the quotient is not equal to zero. True |
|
| 181. |
State whether the given statements are true (T) or false (F).Natural numbers are not closed under multiplication. |
|
Answer» Natural numbers are not closed under multiplication. False |
|
| 182. |
State whether the given statements are true (T) or false (F).There is a natural number which when added to a natural number, gives the number itself. |
|
Answer» There is a natural number which when added to a natural number, gives the number itself. False |
|
| 183. |
State whether the given statements are true (T) or false (F).1 is the identity for multiplication of whole numbers. |
|
Answer» 1 is the identity for multiplication of whole numbers. True |
|
| 184. |
Fill in the blanks to make the statements true.1001 × 2002 = 1001 × (1001+_____ ) |
|
Answer» 1001 × 2002 = 1001 × (1001+ 1001 ) |
|
| 185. |
State whether the given statements are true (T) or false (F).There is a whole number which when added to a whole number, gives the number itself. |
|
Answer» There is a whole number which when added to a whole number, gives the number itself. True |
|
| 186. |
A whole number is added to 25 and the same number is subtracted from 25. The sum of the resulting numbers is (A) 0 (B) 25 (C) 50 (D) 75 |
| Answer» The correct option is (C) 50. | |
| 187. |
Which of the following is not true? (A) (7 + 8) + 9 = 7 + (8 + 9) (B) (7 × 8) × 9 = 7 × (8 × 9) (C) 7 + 8 × 9 = (7 + 8) × (7 + 9) (D) 7 × (8 + 9) = (7 × 8) + (7 × 9) |
|
Answer» The correct answer is (C) 7 + 8 × 9 = (7 + 8) × (7 + 9). |
|
| 188. |
By using dot (.) patterns, which of the following numbers can be arranged in all the three ways namely a line, a triangle and a rectangle? (A) 9 (B) 10 (C) 11 (D) 12 |
| Answer» The correct option is (B) 10. | |
| 189. |
Fill in the blanks to make the statements true.10001 × 0 = _____ |
| Answer» 10001 × 0 = 0 | |
| 190. |
Fill in the blanks to make the statements true.2395 × _____ = 6195 × 2395 |
|
Answer» 2395 × 6195 = 6195 × 2395 |
|
| 191. |
State whether the given statements are true (T) or false (F).All numbers which are divisible by 4 may not be divisible by 8. |
|
Answer» All numbers which are divisible by 4 may not be divisible by 8. True |
|
| 192. |
Which of the following numbers is divisible by 11? (A) 1011011 (B) 1111111 (C) 22222222 (D) 3333333 |
|
Answer» The correct option is (C) 22222222. |
|
| 193. |
LCM of 10, 15 and 20 is (A) 30 (B) 60 (C) 90 (D) 180 |
| Answer» The correct option is (B) 60. | |
| 194. |
यदि एक संख्या और उसके व्युत्क्रम का योग 2 हो तो वह संख्या कितनी होगा? |
|
Answer» Correct Answer - B `x+1/x=2` `x^(2)+1=2x` `x^(2)-2x+1=0` `(x-1)^(2)=0` Then `x=1` |
|
| 195. |
Find whether the following statements are true or false. (i) Every real number is either rational or irrational. (ii) it is an irrational number. (iii) Irrational numbers cannot be represented by points on the number line. |
|
Answer» (i) True As we know that rational and irrational numbers taken together from the set of real numbers. (ii) True As, π is ratio of the circumference of a circle to its diameter, it is an irrational number => π = 2πr/2r (iii) False Irrational numbers can be represented by points on the number line. |
|
| 196. |
Find the LCM of 160, 170 and 90. |
| Answer» LCM of 160, 170 and 90 is 24480. | |
| 197. |
Find the LCM of 80, 96, 125, 160. |
| Answer» LCM of 80, 96, 125, 160 = 12000. | |
| 198. |
Find the R.G. (rationalizing factor) of the following : √10 |
|
Answer» [∴ √10 × √10 = √(10 × 10) = 10] as 10 is rational number. ∴ R.F. of √10 is √10 |
|
| 199. |
Rationalization of Surds |
|
Answer» If the denominator of an expression is a surd, it can be reduced to an expression with rational denominator. This process is known as rationalizing of the denominator. We rationalize the denominator for simplification of surds. |
|
| 200. |
Find the R.G. (rationalizing factor) of the following: 4√162 |
|
Answer» Simplest form of 4√162 is 3 4√2 Now R.F. of 4√2 is 4 √23 R.F. of (4 √162 ) is 4 √23 |
|