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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.
| 501. |
15876 को वर्गमूल में इकाई स्थान का अंक है?A. 8B. 6C. 4D. 2 |
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Answer» Correct Answer - B According to the question `impliessqrt(15, 876)=126` Hence Unig digit is 6 |
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| 502. |
`33-4sqrt(35)` का वर्गमूल क्या है?A. `+-(sqrt(7)+sqrt(5))`B. `+-(sqrt(7)+2sqrt(5))`C. `+-(sqrt(7)-2sqrt(5))`D. `+-(2sqrt(7)-sqrt(5))` |
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Answer» Correct Answer - D `33-4sqrt(35)` `=33-2xx2sqrt(35)` `=33-2xx2xxsqrt(7)xxsqrt(5)` `=28+5-2xx2sqrt(7)xxsqrt(5)` `=(2sqrt(7))^(2)+(sqrt(5))^(2)-2xx2sqrt(7)xxsqrt(5)` `=(2sqrt(7)-sqrt(5))^(2)` `sqrt(33-4sqrt(35))=+-sqrt((2sqrt(7)-sqrt(5))^(2))` `= +-(2sqrt(7)-sqrt(5))` |
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| 503. |
`sqrt(11.981+7sqrt(1.2996))` का मान किसके निकटतम है?A. 5.1B. 4.9C. 4.5D. 4.1 |
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Answer» Correct Answer - C According to the question `sqrt(11.981+7sqrt(1.2996))` `implies sqrt((11981/1000+114/100xx7)` ltbrogt `impliessqrt(11981/1000+798/100)` `implies sqrt(19961/1000)implies4.467=4.5` |
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| 504. |
यदि `sqrt(2)=1.414` है तो `(sqrt(2)-1)/(sqrt(2)+1)` का मान किसके निकटतम है?A. `0.172`B. `0.414`C. `0.586`D. `1.414` |
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Answer» Correct Answer - A According to the question `implies (sqrt(2)-1)/(sqrt(2)+1)` Rationalize above equation `(sqrt(2)-1)/(sqrt(2+1)xx(sqrt(2)-1)/(sqrt(2)-1)` `implies(2+1-2sqrt(2))/1` `implies3-2xx1.414` `implies3-2.828=0.172` |
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| 505. |
`((2.697-0.498)^(2)+(2.697+0.498)^(2))/(2.697xx2.697+0.498xx0.498)` का मान क्या है?A. `4`B. `2`C. `2.199`D. `3.195` |
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Answer» Correct Answer - B According to the question `implies((2.697-0.498)^(2)+(2.697+0.498))/(2.697xx2.697+0.498xx0.498)` Let `a=2.697` `b=0.498` `implies((a-b)^(2)+(a+b)^(2))/(a^(2)+b^(2))` `implies (a^(2)+b^(2)-2ab+a^(2)+b^(2)+2ab)/(a^(2)+b^(2)` `implies(2(a^(2)+b^(2)))/(a^(2)+b^(2))implies2` |
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| 506. |
`((0.081xx0.484)/(0.0064xx6.25))^(1/2)=?`A. 2.3B. 1.5C. 0.99D. 3.6 |
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Answer» Correct Answer - C `((81xx484)/(64xx625))^(1/2)=?` `?=(9xx22)/(8xx25)=(99)/(100)=0.99` |
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| 507. |
`(4-sqrt(0.04))/(4+sqrt(0.36))` का मान किसके निकटतम है?A. `0.4`B. `0.8`C. `1.0`D. `1.4` |
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Answer» Correct Answer - B `(4-sqrt(0.04))/(4+sqrt(0.36))` `=(4-0.2)/(4+0.6)=3.8/4.6=38/46=19/23=0.8` |
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| 508. |
यदि `sqrt(4096)=64` है तो `sqrt(40.96)+sqrt(0.4096)+sqrt(0.00496)+sqrt(0.00004096)` का मान दशमलव के दो अंकों तक क्या होगा?A. `7.09`B. `7.10`C. `7.11`D. `7.12` |
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Answer» Correct Answer - C According to the question `implies sqrt(40.96)+sqrt(0.4096)+sqrt(0.004096)+sqrt(0.00004096)` `impliessqrt(4096/100)+sqrt(4096/10000)+sqrt(4096/1000000)+sqrt(4096/100000000)` `implies 64/10+64/100+64/1000+64/10000` `implies6.4+0.64+0.064+0.0064=7.11` |
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| 509. |
`3sqrt(1728)=?-7`A. 16B. 17C. 18D. 19 |
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Answer» Correct Answer - D `3sqrt(1728)=?-7` `12=?-7` `rArr ?=12+7=19` |
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| 510. |
If (74)2 is subtracted from the square of a number, the answer so obtained is 5340. What is the number? (a) 98 (b) 102 (c) 104 (d) 110 (e) None of these |
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Answer» (c) Let the number be x. |
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| 511. |
625686734489 के वर्गमूल में कितने अंक है?A. 4B. 5C. 6D. 7 |
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Answer» Correct Answer - C According to the question `impliessqrt(ul(6 2)" " ul(56)" " ul(86)" "ul(73)" "ul(44)" "ul(89))=6` |
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| 512. |
`sqrt(1.3)+sqrt(1300)+sqrt(0.013)` मान लें कि `sqrt(13)= 3.605` लगभग `sqrt(130)=11.40` लगभग `sqrt(1.3)+sqrt(1300)+sqrt(0.013)` का मान ज्ञात करें?A. `36.164`B. `36.304`C. `37.304`D. `37.164` |
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Answer» Correct Answer - C According to the question `sqrt(1.3)+sqrt(1300)+sqrt(0.013)` `impliessqrt(130/100)+sqrt(1300)+sqrt(130/10000)` `implies 11.4/10+36.05+11.4/100` `implies1.14+36.05+0.114` `implies37.304` |
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| 513. |
`((0.013)^(3)+0.000000343)/((0.013)^(2)-0.000091+0.000049)` isA. `0.03`B. `0.01`C. `0.04`D. `0.02` |
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Answer» Correct Answer - D According to the question `implies((0.13)^(2)+(0.007)^(3))/((0.013)^(2)+(0.007)^(2)-0.007xx0.013)` `implies((0.013+0.007)[((0.013)^(2)+(0.007)^(2)),(-0.007xx0.0163)])/((0.013)^(2)+(0.007)^(2)-(0.007xx0.013)` `implies 0.02` |
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| 514. |
दिया गया है कि `sqrt(24)=4.898` है `sqrt(8/3)` का मान किसके निकटतम है?A. `0.544`B. `1.333`C. `1.633`D. `2.666` |
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Answer» Correct Answer - C According to the question `impliessqrt(8/7)impliessqrt((8xx3)/(3xx3))impliessqrt(24/9)` `implies 4.898/3=1.633` |
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| 515. |
`(sqrt((0.081xx0.484)/(0.0064xx6.25))` के बराबर है?A. 9B. 9C. 99D. 99 |
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Answer» Correct Answer - D According to the question `impliessqrt((0.081xx0.484)/(0.0064xx6.25))` `implies (9xx2)/(8xx25)implies0.99` |
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| 516. |
यदि `(102)^(2)=10404` है तो `sqrt(104.04)+sqrt(1.0404)+sqrt(0.010404)` का मान किसके बराबर है?A. 0.306B. 0.0306C. 11.122D. 11.322 |
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Answer» Correct Answer - D According to the question `impliessqrt(104.04)+sqrt(1.0404)+sqrt(0.010404)` `impliessqrt(10404/100)+sqrt(10404/10000)+sqrt(10404/1000000)` `implies 102/10+102/100+102/1000` `implies 10.2+1.02+0.102=11.322` |
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| 517. |
50 और 1000 के बीच कितनी पूर्ण वर्ग संख्याऐं है?A. 21B. 22C. 23D. 24 |
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Answer» Correct Answer - D According to the question First number is `8^(2)=64` Last number is `31^(2)=961` `:.` Total number are `=31-7=24` |
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| 518. |
`(256)^(0.16)xx(16)^(0.18)` के बराबर है?A. 1B. 16C. 64D. 256.25 |
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Answer» Correct Answer - A According to the question `implies(256)^(0.16)xx(16)^(0.18)` `implies (2^(8))^(0.16)xx(2^(4))^(0.18)` `implies(2)^(1.28)xx(2)^(0.72)` `implies(2)^(1.28+0.72)implies(2)^(2)=4` |
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| 519. |
`(1001)^(3)` का मान क्या है?A. 1003003001B. 100303001C. 100300301D. 103003001 |
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Answer» Correct Answer - A `(1001)^(3)` `=1001xx1001xx1001` `=1002001xx1001` ltbgt `=1003003001` |
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| 520. |
`(4 11/15+15/71)^(2)-(4 11/15-15/71)^(2)` के बराबर है?A. 1B. 2C. 3D. 4 |
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Answer» Correct Answer - D According to the question `implies(4 11/15+15/71)^(2)-(4 11/5-15/71)^(2)` `(a^(2)-b^(2))=(a-b)(a+b)` `= (4 11/15+15/71+4 11/15-15/71)(4 11/15+15/71-4 11/15+15/71)` `implies (2xx4 11/15)(2xx15/71)` `implies (2xx71/15xx2xx15/71)implies4` |
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| 521. |
`(53xx87xx159xx21+106xx25)` के बराबर है?A. 16000B. 1060C. 10600D. 60100 |
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Answer» Correct Answer - C According to the question `implies53xx87+159xx21+106xx25` `implies4611+3339+2650=10600` |
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| 522. |
दिया गया है `sqrt(13)=3.6` and `sqrt(130)=11.4`, है तो `sqrt(13)+sqrt(1300)+sqrt(0.013)` का मान किसके बराबर है?A. `36.164`B. `637.254`C. `39.714`D. `37.154` |
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Answer» Correct Answer - C According to the question `implies sqrt(13)+sqrt(1300)+sqrt(0.013)` `implies 3.6+10sqrt(13)+sqrt(130/10000)` `implies 3.6+10xx3.6+11.4/100=39.714` |
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| 523. |
`sqrt(48.4/0.289)` के बराबर है?A. `129 7/17`B. `1 5/17`C. `12 16/17`D. `12 1/17` |
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Answer» Correct Answer - C According to the question `impliessqrt(48.4/0.289)impliessqrt(484/289xx100)` `implies 22/17xx10implies220/17=12 16/17` |
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| 524. |
`(1/3.5+1/5.7+1/7.9+1/9.11+1/11.13+1/13.15)` के बराबर है?A. `2/45`B. `2/25`C. `7/45`D. `2/15` |
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Answer» Correct Answer - D According to the question `implies(3.5+1/5.7+1.739+1.9.11+1-11.13+1.13.15)` `implies 1/2(1/3-1/5+1/5-1/7+1/7-1/9+1/9-1/11+1/11-1/13+1/13-1/15)` `implies 1/2[1/3-1/15]implies1/2[(5-1)/15]` `implies1/2xx4/15=2/15` |
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| 525. |
`1+1/(1+1/(1+1/(1+1/(1+2/3))))` का मान क्या है?A. `21/13`B. `17/2`C. `34/21`D. `8/5` |
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Answer» Correct Answer - C According to the question `implies1+1/(1+1/(1+1/(1+1/(1+2/5))))` `implies 1+1/(1+1/(1+1/(1+3/5)))` `implies 1+1/(1+1/(1+5/8))implies1+1/(1+8/13)` `implies 1+13/21implies34/21` |
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| 526. |
`6 1/4%` का `6 1/4%+800` का `12 1/2%` किसके बराबर है?A. 100B. 150C. 200D. 250 |
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Answer» Correct Answer - C `6 1/4% ` of `1600+12 1/2% `of `800` `=1/16xx1600+1/8xx800` `=100+100=200` |
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| 527. |
`13/48` के बराबर है?A. `1/(3+1/(1+1/16))`B. `1/(2+1/(1+1/8))`C. `1/(3+1/(1+1/(1+1/8)))`D. `1/(3+1/(1+1/(2+1/4)))` |
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Answer» Correct Answer - D According to the question `implies1/(3+1/(1+1/(2+1/4)))implies1/(3+1/(1+4/9))` `implies 1/(3+9/13)implies13/14` satisfied |
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| 528. |
710 में वह कौन सी न्यूनतम संख्या जोड़ी जाए कि योग एक पूर्ण घन हो?A. 29B. 19C. 11D. 21 |
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Answer» Correct Answer - B As we know the cube of 9 is 729. Therefore 19 must be added to 710 to make it a perfect cube. |
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| 529. |
यदि `root(3)(3^(n))=27` है तो `n` का मान क्या है?A. 9B. 6C. 1D. 3 |
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Answer» Correct Answer - A According to the question `root(3)(3^(n))=27` `(3^(n))^(1/3)=(3)^(3)` `3^(n/3)=(3)^(3)` `n/3=3` `n=9` |
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| 530. |
680621 में कौन सी न्यूनतम संख्या जोड़ी जाए कि योग एक पूर्ण वर्ग हो?A. 4B. 5C. 6D. 8 |
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Answer» Correct Answer - A As we know square of 825 is 680625. `:.` The smallest number added to 680621 to make a perfect square is 4. |
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| 531. |
इस तरह के प्राकृत संख्याओं के जोड़ों की संख्या कितनी है जिनके वर्गों का अंतर 45 है?A. 2B. 3C. 6D. 5 |
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Answer» Correct Answer - B Let the numbers be `x` and `y (xgty)` According to the question `x^(2)-y^(2)=45` `(x+y)(x-y)=45` Make factor of 45 `{:(15xx3),(9xx5),(45xx1):}]` 3 pairs These pairs gives the value of `x` and `y` which satisfy the given condition. |
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| 532. |
वह कौन सी संख्या है जिसका वर्ग 975 और 585 के वर्गों के अंतर के बराबर है?A. 780B. 390C. 1560D. 130 |
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Answer» Correct Answer - A According to the question `implies(975)^(2)-(585)^(2)` `implies(975+5858)(975-585)` `implies 1560xx390` `implies 608400=(780)^(2)implies780` |
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| 533. |
दो संख्याओं में से वह बड़ी संख्या कौन सी है जिसका गुणनफल 900 और जोड़ उनके अंतर से 30 अधिक है?A. 60B. 75C. 90D. 100 |
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Answer» Correct Answer - A Let no are `x,y` given `xy=900`……….i and `x+y-(x-y)=60`………….ii `2y=60` `y=30` by equation i `x xx 30=900` `x=60` greater No. `=60` |
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| 534. |
वह संख्या क्या है जिसका वर्ग, 68 और 32 के वर्गों के अंतर क बराबर होता है ?A. 36B. 48C. 60D. 64 |
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Answer» Correct Answer - C According to the question `implies(68)^(2)-(32)^(2)` `implies (68+32)(68-32)` `[ :. a^(2)-b^(2)=(a+b)(a-b)]` `implies 100xx36` `implies 3600=(60)^(2)=60` |
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| 535. |
चार अंकों की वह कौन सी न्यूनतम संख्या है जो एक पूर्ण वर्ग है?A. 1009B. 1016C. 1024D. 1025 |
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Answer» Correct Answer - C As we know that the square of 32 is 1024. |
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| 536. |
व्यंजक `(3 1/4-4/5 "of" 5/6)/(4 1/3-:1/5-(3/10+21 1/5))` में से वह कौन सा भिन्न घटाया जाए कि परिणाम एक पूर्णांक हो?A. `1/2`B. `5/6`C. `1/4`D. `3/10` |
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Answer» Correct Answer - A According to the question `implies(3 1/4 -4/5 "of 5/6)/(4 1/3 -: -(3/10+21 1/5))` `implies (13/4-4/5xx5/6)/(13/3xx5-(3/10+106/5))` `implies (13/4-2/3)/(65/3-3/10-106/5)implies((39-8)/12)/((650-9-636)/30)` `implies 31/12xx30/5=31/2=15 1/2` `:.` Least fractiion number should be subtracted is `15 1/2-15=1/2` (least fraction number) |
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| 537. |
यदि संख्याओं के वर्गों का योग 386 है यदि एक संख्या 5 है तो दूसरी संख्या क्या होगी?A. 18B. 19C. 15D. 20 |
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Answer» Correct Answer - B According to the question `implies x^(2)+y^(2)=386` `implies (5)^(2)+(y)^(2)=386` `implies (y)^(2)=286-25` `implies y^(2)=361impliesy=19` |
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| 538. |
दो संख्याओं का गुणनफल 45 है तथा उनका अंतर 4 है, तो उनके वर्गों का योग ज्ञात करें।A. 135B. 240C. 73D. 106 |
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Answer» Correct Answer - D Let two numbers are `x` and `y` According to the question `xy=45` `x-y=4` `:.(x-y)^(2)=x^(2)+y^(2)-2xy` `implies x^(2)+y^(2)=(x-y)^(2)+2xy` `= gtx^(2)+y^(2)=16+90` `implies x^(2)+y^(2)=106` |
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| 539. |
दो संख्याओं के वर्गों का योग 146 है और उनमें से एक वर्गमूल 5 है तो दूसरी संख्या का घन क्या होगा?A. 1111B. 1221C. 1331D. 1441 |
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Answer» Correct Answer - C Let the numbers are `x` & `y` `x^(2)+y^(2)=146` `25+y^(2)=146` `y^(2)=146-25` `y^(2)=121` `y=11` `:. y^(3)=(11)^(3)=1331` |
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| 540. |
यदि तीन क्रमागत प्राकृत संख्याओं के वर्गों का योग 110 है तो उनमें से सबसे छोटी प्राकृत संख्या क्या है?A. 8B. 6C. 7D. 5 |
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Answer» Correct Answer - D Let the three consecutive numbers are `x,x+1,x+2`. According to the question `impliesx^(2)+(x+1)^(2)+(x+2)^(2)=110` `impliesx^(2)+x^(2)+1+2x+x^(2)+4+4x=110` `implies 3x^(2)+6x+5=110` `implies 3x^(2)+6x-35=0` `implies x^(2)+8x-5x-35=0` `impliesx^(2)+7x-5x-35=0` `implies x(x+7)-5(x+7)=0` `implies (x+7)(x-5)=0` `implies x=5` & `-7` `( :. (-)` value cannot considered ) `:. ` Smallest number is `=5` Alternatively: You can also solve using options. |
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| 541. |
(11/13) + (13/11) = ?1. 290/1432. 24/1433. 24. 245/24 |
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Answer» Correct Answer - Option 1 : 290/143 Calculation: (11/13) + (13/11) = ? ⇒ LCM of 13 and 11 = 143 So, [(11 × 11) + (13 × 13)]/143 = ? ⇒ [121 + 169)/143 = ? ⇒ 290/143 = ? ∴ The value of ? is 290/143 |
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| 542. |
35% of __________ is 105. 1. 2252. 2853. 3004. 315 |
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Answer» Correct Answer - Option 3 : 300 Given: 35% of __________ is 105. Calculations: Let the missing number be x 35% of x = 105 ⇒ 35% × x = 105 ⇒ 7/20 × x = 105 ⇒ x = 105 × 20/7 ⇒ x = 15 × 20 ⇒ x = 300 |
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| 543. |
If 3(5x - 7) - 4(8x - 13) = 2 (9x - 11) - 17, then the value of \(\frac{7x -5}{11x-9}\) is1. \(\frac{9}{13}\)2. \(\frac{14}{31}\)3. \(-\frac{14}{31}\)4. \(-\frac{14}{13}\) |
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Answer» Correct Answer - Option 1 : \(\frac{9}{13}\) 3(5x - 7) - 4(8x - 13) = 2 (9x - 11) - 17 Calculations: 3(5x - 7) - 4(8x - 13) = 2 (9x - 11) - 17 ⇒ 15x - 21 - 32x + 52 = 18x - 22 - 17 ⇒ -17x + 31 = 18x - 39 ⇒ 18x + 17x = 31 + 39 ⇒ 35x = 70 ⇒ x = 70/35 ⇒ x = 2 \(\frac{7x -5}{11x-9}\) = \(\frac{{7×2 -5}}{{11× 2}-9}\) ⇒ (14 - 5) ÷ (22 - 9) ⇒ 9/13 ∴ The required value is 9/13 |
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| 544. |
986.23 + 7.952 + 8176.158 = ? (a) 9170.340 (b) 9169.230 (c) 9241.908 (d) 9170.762 (e) None of these |
| Answer» (a) ? = 986.23 + 7.952 + 8176.158 = 9170.340 | |
| 545. |
11059 + 8889 – 908 = ? × 85 (a) 236 (b) 212 (c) 248 (d) 272 (e) None of these |
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Answer» (e) ? × 85 = 11059 + 8889 – 908 ? × 85 = 19040 ? = 19040/85=224 |
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| 546. |
What will come in place of the question mark (?) in the following question?? + 62 = 272 – 581. 6702. 7363. 6354. 2755. 465 |
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Answer» Correct Answer - Option 3 : 635 Calculation: ? + 62 = 272 – 58 ⇒ ? + 36 = 729 – 58 ⇒ ? + 36 = 671 ⇒ ? = 671 – 36 ⇒ ? = 635 ∴ 635 will come in place of question mark |
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| 547. |
If \(\frac{{30\% \;of\;160}}{x}\) = 48, then the value of x is1. 12. 23. 1/24. None of the above |
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Answer» Correct Answer - Option 1 : 1 Given: \(\frac{{30\% \;of\;160}}{x}\) = 48 Calcualtions: \(\frac{{30\% \;of\;160}}{x}\) = 48 ⇒ [(30/100) × 160]/x = 48 ⇒ (30 × 160/100)/x =48 ⇒ 4800/100x =48 ⇒ 48/x = 48 ⇒ 1/x = 1 ⇒ x = 1 ∴ The value of x is 1 |
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| 548. |
`3xx(60 div 2.5)=?`A. 62B. 96C. 74D. None of these |
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Answer» Correct Answer - D `?=3.5xx24=84` |
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| 549. |
When 20% of a number is added to 36 then the resultant number is 200% of the actual number. Then find 40% of actual number. 1. 102. 83. 124. 6 |
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Answer» Correct Answer - Option 2 : 8 Calculations: Let the actual number be x According to the question ⇒ 20% of x + 36 = 200% of x ⇒ (20/100) × x + 36 = (200/100) × x ⇒ x/5 + 36 = 2x ⇒ 36 = 2x – x/5 ⇒ 9x/5 = 36 ⇒ x = 20 40% of x ⇒ (40/100) × 20 = 8 ∴ 40% of actual number is 8 |
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| 550. |
If the numerator of a fraction is increased by 15% and the denominator is decreased by 20%, then the fraction, so obtained, is 17/65. What is the original fraction?1. 281/14952. 278/14953. 267/14954. 272/1495 |
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Answer» Correct Answer - Option 4 : 272/1495 Given: If the numerator of a fraction is increased by 15% and the denominator is decreased by 20%, then the fraction becomes 17/85. Calculation: Let the numerator of the fraction be N, and the denominator of the fraction be D. New numerator = N + (15/100) × N ⇒ (100N + 15N)/100 ⇒ 115N/100 New denominator = D – (20/100) × D ⇒ (100D – 20D)/100 ⇒ 80D/100 New fraction = 115N/80D ⇒ (17/65) = (23N/16D) ⇒ 17 × 16D = 23N × 65 ⇒ 272D = 1495N ⇒ N/D = 272/1495 ∴ The original fraction is 272/1495. |
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