Army Clerk/SKT Maths Online Test/Quiz With Solution

Maths is an important subject of clerk written exam, it carries 10 questions out of 25 questions that are asked in part 1. Below are questions that are selected specially by expert from exam point of view. But, we do not guarantee that these questions will come in written exam.

Please write us on comment if you find any question or answer wrong given here

See also :- Army clerk sample and previous year papers.

Q 1.The value of x + x(xx) when x = 2 is:

  1. 10
  2. 16
  3. 18
  4. 8
  5. Answer is: 10
  1. Solution with Explanation
  2. Since, x = 2x
    ∴   2 + 2 (2²)
    ⇒ 2 + 2 (4)
    ⇒ 2 + 8
    ⇒ 10

Q 2. Sum of two number = 16 and product = 48, find the difference between the two numbers ??

  1. 4
  2. 6
  3. 8
  4. 10
  5. Answer is: 8
  1. Solution with Explanation
  2. There are 4 possiblilities :
    ⇒ 1+15 = 16 but 1*15≠48
    ⇒ 2+14 = 16 but 2*14≠48
    ⇒ 3+13 = 16 but 3*13≠48
    ⇒ 4+12 = 16 and 4*12 = 48. Thus, two numbers are 4 and 12
    ⇒ Thus, the difference between the two numbers is 12 – 4 = 8

Q 3. A man complete a journey in 10 hours. He travels first half of the journey at the rate of 21 km/hr, and second half at the rate of 24 km/hr. Find the total journey in km.

  1. 220 km
  2. 225 km
  3. 230 km
  4. 234 km
  5. Answer is: 225 km
  1. Solution with Explanation
  2. The first half of the journey ↔ Speed = 21 km/hr ; time = 5 hours
    ∴ distance = speed*time = 21*5 = 105 km
    The second half of the journey ↔ speed = 24 km/hr ; time = 5 hours
    ∴ distance = speed*time = 24*5 = 120 km
    total journey = 105 + 120 = 225 km

Q 4. A and B invest in a business in the ratio 3 : 2. If 5% of the total profit goes to charity and A’s share is Rs. 855, the total profit is:

  1. Rs. 1425
  2. Rs. 1500
  3. Rs. 1557.50
  4. 1576
  5. Answer is: 1500
  1. Solution with Explanation
  2. Let the total profit be Rs. 100.
    After paying to charity, A’s share = 95 x 3/5 = Rs. 57.
    If A’s share is Rs. 57, total profit = Rs. 100.
    If A’s share Rs. 855, total profit = 100/57 x 855 = 1500.

Q 5. LCM of 36, 81, 98

  1. 15876
  2. 18576
  3. 15786
  4. 15678
  5. Answer is: 15876
  1. Solution with Explanation
  2. 2*2*3*3*3*3*7*7 = 15876

Q 6. Multiplication of two numbers are 960, HCF of the numbers is 8, then the LCM of these numbers are?

  1. 24, 40
  2. 120
  3. 18
  4. None of these.
  5. Answer is:  120
  1. Solution with Explanation
  2. Multiplication of two numbers = LCM*HCF
    960 = 8*LCM
    960/8 = LCM
    LCM = 120

Q 7. If Naveen takes 2 hours to complete 8 K.M, then how many hours he will take to complete 30 km.

  1. 5 Hours 10 minute
  2. 6 hour 25 minute
  3. 7 hours 30 minute
  4. 8 hours 40 minute
  5. Answer is: 7 hours 30 minute
  1. Solution with Explanation
  2. 2 hours = 8 KM
    x hours = 30 KM
    (2*30)/8 = 60/8
    15/2
    7 hours 30 minutes

Q 8. If A ={5,6,7} and B = {7,8,9} then A∪B is equal to

  1. {5,6,7,8,9}
  2. {7,8,9}
  3. {5,6,7}
  4. ϕ
  5. Answer is: {5,6,7,8,9}
  1. Solution with Explanation
  2. A ={5,6,7}
    B = {7,8,9}
    A∪B will be the combination of the two, taking elements in common
    {5,6,7,8,9}

Q 9. Two adjacent angle on a straight line are in the ratio 5 : 4. The measure of each one of these angles are?

  1. 1000, 800
  2. 900, 900
  3. 1100, 800
  4. 1100, 700
  5. Answer is:  1000, 800
  1. Solution with Explanation
  2. Let, the two angles be 5x and 4x
    The angle on the straight line is 180‎°
    ∴ 5x‎ + 4x = 180‎°
    9x = 180‎°
    x = 20‎°
    Thus, 5*20 = 100‎°
    4*20‎° = 80‎°

Q 10. 2, 9, 28, 65, 126,……

  1. 129
  2. 216
  3. 217
  4. 178
  5. Answer is: 217
  1. Solution with Explanation
  2. As, 2 = 1*1*1 + 1
    9 = 2*2*2 + 1
    28 = 3*3*3 + 1
    65 = 4*4*4 + 1
    126 = 5*5*5 + 1
    the next will be
    6*6*6 + 1 = 217

Q 11. The surface area of a cube one of whose edge is 9 cm is?

  1. 486
  2. 729
  3. 324
  4. None of these
  5. Answer is:729
  1. Solution with Explanation
  2. The formula of surface area of cube = side*side*side
    9*9*9 = 729

Q 12. A and B can finish a work together in 12 days, and B and C together in 16 days. If A alone works for 5 days and then B alone continues for 7 days, then remaining work is done by C in 13 days. In how many days can C alone finish the complete work?

  1. 15 days
  2. 24 days
  3. 45 days
  4. None of these
  5. Answer is: 24 days
  1. Solution with Explanation
  2. A = 5 days
    B works = 7 days
    C works = 13 days
    A + B  = 5 days
    ∴ They will do 5*4 units/day = 20 units
    Now 2 days are left for BB + C = 2 days
    ∴They will do 2*3 units/day = 6 units
    Total job done = 20 units + 6 units = 26 units
    Remaining work = 48 units – 26 units = 22 units
    total days left for C = 13 days – 2 days = 11 days∴ C does 22 units of work in 11 days
    Or, C does 2 units of work in 1 day
    Hence time taken by C to complete the whole work = 24 days

Q 13. Find x, if   25x – 19 – [ 3 – { 4x – 5 } ] = 3x – (6x – 5)

  1. x = 1
  2. x = -1
  3. x = 1/2
  4. x = 2
  5. Answer is: x = 1
  1. Solution with Explanation
  2. 25x – 19 – [ 3 – { 4x – 5 } ] = 3x – (6x – 5)
    25x – 19 – [3 – 4x + 5] = 3x – (6x – 5)
    25x – 19 – [8 – 4x] = 3x – (6x – 5)
    25x – 19 – 8 + 4x = 3x – 6x + 5)
    29x – 27 = -3x + 5
    29x + 3x = 27 + 5
    32x = 32
    x = 32/32
    x = 1

Q 14. When 35 is added to 5 times a certain number the result is 100, the number is:

  1. 12
  2. 65
  3. 13
  4. 25
  5. Answer is: 13
  1. Solution with Explanation
  2. Let the number be x
    ∴ 35 + 5x = 100
    5x = 100 – 35
    5x = 65
    x = 13

Q 15. Kabir buys an article with 50% discount on its marked price.  He makes a profit of 10% by selling it at Rs.660.  The marked price is :

  1. 685
  2. 700
  3. 600
  4. 800
  5. Answer is:  800
  1. Solution with Explanation
  2. Cost price for Kabir = 100/ (100+10)*660 = 600
    But this price is what he got after having a discount of 50%. Let the marked price be x.
    Then (100 – 25)% of x = 600
    x = Rs.800

Q 16. The square root of 4096 by means of factors, is

  1. 32
  2. 64
  3. 96
  4. 24
  5. Answer is: 64
  1. Solution with Explanation
  2. 2*2*2*2*2*2*2*2*2*2*2*2
    2*2*2*2*2*2
    64

Q 17. The number 666666 is divisible by

  1. 5
  2. 4
  3. 8
  4. 7
  5. Answer is: 7
  1. Solution with Explanation
  2. The number 666666 comprises of all the prime factors of the number 7.

Q 18. The average of 11 results is 30 that of the first five is 25 and that of the last five is 28. The value of the 6th number is

  1. 64
  2. 65
  3. 66
  4. 45
  5. Answer is: 65
  1. Solution with Explanation
  2. Average = Sum of numbers/ number of observations
    For 11 numbers, sum = 11*30 = 330
    For first 5 numbers, sum = 5*25 = 125
    For last 5 numbers, sum = 5*28 = 140
    ∴ 330 – [140+125]
    65

Q 19. The fourth proportional to 25, 15, and 40 is

  1. 24
  2. 48
  3. 10
  4. None to these
  5. Answer is: 24
  1. Solution with Explanation
  2. Multiplication of means = multiplication of extremes
    25*x = 15*40
    25*x = 600
    x = 600/25
    = 24

Q 20. A car is travelling at a speed of 50 km/h. The distance it will cover in 12 min is

  1. 10 km
  2. 8 km
  3. 12 km
  4. 4.16 km
  5. Answer is: 10 km
  1. Solution with Explanation
  2. Speed = 50 km/hr
    Time = 12 min = 12/60 hr = 0.2 hr
    Distance = 50*0.2 = 10 km

See also: Army clerk computer science test

83 Comments
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  1. Sir agr 12th standard me arts hai toh army clerk ke lie apply kr skte hai kya but maths nhi hai

  2. i had got 98 marks in Math 2019 can i join group x and y for airforce?

  3. Good evening sir,iam selected army cleark pst and medical sir but iam not prepared exam sir ,how to pass the exams sir pls help me sir😥😥😥😥

    1. Prof. Mohan Singh Rawat

      Hello Arjun, We have sample papers. You can purchase these sample papers for written exam preparation.

  4. Good afternoon sir
    A student got 37 marks in maths in 10class. He is able to involve open bharti in GD grade or not

    1. Hello Arun, yes, you are eligible for the Indian Army GD post.

  5. sir i have got 33 marks in maths in 12 can i apply for army clerk

    1. Hi Divyansh, you are not eligible for Indian Army clerk, here is the link for complete detail: Indian Army Clerk Eligibility.

  6. Good morning sir
    The exam of army relation bharti held on 29 july 2018.
    when the result of clerk trade will be announced by army headquater

    1. Hello Arun, the result will be declared very soon within a month. Stay tuned with us.

  7. Sir ji mere 12th me to no.pure h Lekin mere 10 th me km h kya me army clerck ke liye apply kr skta hu meri hight 165 h

    1. Hello Jagjeet, follow this link: Indian Army clerk eligibility

  8. Hlw sir me new 10 pass kar li he 60 percent bani he me army ke liye apply kar sakta hu or air me sport kota bi lena chahata hu

    1. Hello Pravendra, you can apply for sports kota bharti as well as open rally. But you should check your age and height for different army post.

  9. Hlw sir mere 12th me math me 50 marks se kam he. kya me apni graduation ki digree lga skta hu ??

    1. No Rahul,
      To be Eligible, you must have the minimum qualifying percentage in 10th and 12th.

  10. hello sir,
    mera name Mukesh Thakur hai. Or mene plus two arts side se ki hai jisme mere 84.6% marks aaye hai.
    But mere pas mathematics subject nhi tha to kya main army clerk join kr skta hu

  11. Hi sir I m Santosh m k I have preparing for the clerk SKT paper , so pls providing the notes and what type of books can help to pass this exam

    1. Hi Santosh,
      You should read our article “Army Clerk/SKT Syllabus, Paper Pattern and Books” and there you will find information about type of books for exam.

  12. hello mam
    clerk exam part 1 and part 2 means
    please give details info

    1. Hello Sumant, Part 1 of clerk includes questions from subjects like GK, GS, maths and computer. Total 25 questions are asked in this section, while for part 2 in which only questions from English are asked contains 25 questions. Please refer to ‘army clerk papers pattern‘ for more information.

  13. sir/mam clerk ka exam pass krne k liye kon si book se taiyri krni padegi aur exam me kaisa question ate hai.

    1. Hi Gulshan.
      If you are preparing for the written exam then it is important that you are fully aware with the syllabus and the exam pattern. You can search for ‘Army Clerk/SKT Syllabus, Paper Pattern And Books’ in the search box of our website and there you will final all the information. Books like ‘clerk paper set(Hindi)’ by SK Publication, ‘clerk kit set of 7 books’ by Sk Publication are good books to study from.

  14. Hello sir. Mera clerk ka exam hai. Kya mujhe clerk exam se related question papers mil skte hai Jo pichle 5-10 yeasr ke ho. Jin se mai tayari kr saku. Please btao ki kaha se download kru.

    1. Hi Navneet.
      If you are looking for sample paper and previous year paper for the post of clerk then just search for ‘Indian Army Written Exam Important Questions Answers & Sample Papers’ in the search box of our website and from there you can download the PDF files of sample paper very easily.

  15. Akshay pratap singh

    Hello Sir. I have pass 12th with 65% and 50% marks in each subject. And I also have state level certificate of athlete and NCC ‘A’ certificate. So, what will be the benefits for clerk post based on the mentioned certificate.

    1. Hi Akshay.
      As, you have mentioned that you have state level sports certificate then you will get relaxation on physical standards like 2 cm, 3 cm and 5 Kg on Height, Chest and Weight. And in the written exam also you will get 20 marks as bonus for the post of clerk. Remember that only one type of Bonus Marks (Max of the permissible) bwill e added to the total. To elaborate, for clerk state level sports certificate with NCC`A’ Certificate will get 20 Marks only and not 20+5 = 25 Marks.

  16. Sir Indian army clerk mein time kitna milta hai race k liye?

    1. Hi Ranjodh.
      Indian army have revised the running time for 1.6 km race. If you complete the race in 5 min 30 sec then you will get 60 marks and you take 5 min 31 sec to 5 min 45 sec then 48 marks will be given.

  17. Hello mam. I have father relation certificate, NCC A certificate, Computer ‘O’ level certificate and I have district game certificate too. So, mam please tell me what are the benefits of these certificates for post skt clerk in army. Please reply.

    1. Hi Deepu.
      As, you have mentioned that you have both relation certificate and district level sports certificate then you will get the relaxation in the physical standards like height weight and chest as per district level sports certificate(max of the permissible). The relaxation on height, chest, weight given to you will be 2 cm, 3 cm and 5 kg respectively. Now in the written exam only one type of Bonus Marks (Max of the permissible) will be added to the total. To elaborate, for clerk post, Son of Ex-servicemen with NCC`A’ Certificate and O+ level certificate you will get 20 Marks only and not 20+5+15 = 40 Marks.
      These are the benefits that you will get based on all your certificate.

  18. Sir clerk ke liye kya qualifications chahiye?

    1. Prof. Divyanshi Sharma

      Hi Arjun.
      The education qualification required for the post of soldier clerk is 10+2 / Intermediate Examination Pass in any stream (Arts, Commerce, Science). Should have secured 50% marks in each subject and 60% in aggregate in Class XII. Should have studied English and Maths / Accounts / Book Keeping in Class XII or Class X. Should have secured min 50% marks in each of these subject, whether in Class XII or Class X. The age limit is 17 and half to 23 years.

  19. Mam maine indian army me clerk ki barthi deni hai. Mere pass father relation bhi hai but kya clerk ke exam me relation certificate ke number milte hai ja nhi? kuch ladke bol rhe hai ki clerk ke exam me relation certificate ka koi benifit nhi milta. So, please mam mujhe bta dijiye ki mujhen clerk exam me mere relation certificate ka koi fyda hoga ja nhi.

    1. Prof. Divyanshi Sharma

      Hi Sushil.
      As, you have mentioned that you have the relation certificate then definitely you will get benefits for clerk post. On the basis of the certificate you would get relaxation on both the physical standards and written exam also. On physical standards you would relaxation of 2 cm, 1 cm, 2 kg in height, chest and weight respectively. In the written exam bonus of 20 marks will be given to you for clerk post.

  20. Hlo sir/ mam
    I am Mohan singh and I am preparing for army clerk exam which will be held soon and I also have relation certificate (I.e son of serviceman ) then will i get any benifit for this certificate.

    1. Prof. Divyanshi Sharma

      Hi Mohan.
      As, you have mentioned that you have relation certificate then you would get benefits on both physical standards as well as on the written exam. You would get relaxation of 2 cm, 1 cm and 2 kg on height, chest and weight respectively. And in the written exam you would get bonus of 20 marks.

  21. Sir I am a candidate preparing for army clerk exam now I am in a need of a good mentor so sir could you help me for preparing for the exam suggest a good text.

    I am gladly waiting for your reply

    1. Prof. Divyanshi Sharma

      Hi Nived.
      As, you have mentioned that you are preparing for the written exam of clerk then you need to work really hard. Practice from previous year paper and sample paper, it will help you a lot. Practice as much as you can, through previous paper you will realize the important questions that are framed in the exam paper. Along with this give online test also. It is the best way to practice for the exam. Books like Clerk paper set(Hindi) by SK Publication, Clerk kit set of 7 books by SK Publication and Clerk Ennglish Medium are some books that will help you a lot in your preparations. Just keep working hard.

  22. Hello sir. Meri age 19.5 years hai or 72%in 10th and 75%in +2 non medical mai hai. Kya mai clerk post ke liye apply kar skata hu?

    1. Prof. Divyanshi Sharma

      Hi Daman.
      As, you have mentioned that you have 75% in 12th then you are eligible for the post of clerk.

  23. Sir my name is lovepreet sir apne kha ki army clerk k lie timing 6:01 m clear krna bt sir jb hm time eligibility check krte h latest thn sir usme to all categories k liye 5:45 tk ki timing btai gyi h …. Kya sir hm clear timing jaan skte h jo hme is bharti m date 24 aprll ko di jaygi ………….as a clerk k liye

    1. Prof. Divyanshi Sharma

      Hi Lovepreet.
      First of all don’t get confuse about anything. In the physical test there is one mile(1.6 km) of running and if you complete it in 5 min 30 sec then 60 marks are given while, if you take 5 min 31 sec to 5 min 45 sec 48 marks are given. This means that the maximum time in which you have complete the running is 5min 45sec. This is the new revised timing for 1.6 km run.

  24. Sir what is the maximum time to complete 1600 meters for soldier general duty in army rally

    1. Prof. Divyanshi Sharma

      Hi Praveen.
      If you complete the running in 5min 30 sec then 60 marks are given and if you take 5min 31sec to 5min 45sec then 48 marks are given.

  25. hlo sir mera name lovepreet hai sir maine is bharti m jb form apply kie the clerk ke tb marking thi ke aggreegate 50% se above in +2 and 40% marks in all subject sr mera admit card b aa gya h …….then ab marks kr dia h 60% marks aggrregate and 50% marks in all subject …..mere english m 41 marks hai in 100 kya muje bharti k time reject kia jayga

    1. Prof. Divyanshi Sharma

      Hi Lovepreet.
      There is nothing to worry as, the new eligibility criteria for the clerk post is applicable from this April and you have applied before that so you are eligible to give the exam. You will not face any problem during bharti.

  26. DIPANKAR CHAKRABORTY

    Sir Mai national level Ka athlete hoon (ATHLETICS) me aur N.C.C “C” certificate holder hoon “A” grade Ka saath aur agar mera graduation compleat hota hai to mera clerk me written maaf nhi ho sakta hai .

    1. Prof. Divyanshi Sharma

      Hi Dipankar.
      As, you have mentioned that you are a NCC ‘C’ certificate holder,for that you will be given extra 15 marks in the written exam for the post of clerk. Only for the post of soldier GD and Tradesman you are exempted from the written exam.

  27. Hi sir,
    My self Dusmant Das. me indian army soldier clerk me physical aur medical test me pass ho chuka hun. next month me written test hai. written test ke liye best book kounsi hai plz bataiye sir.

    1. Prof. Divyanshi Sharma

      Hi Dusmanta.
      It is really appreciable that you have qualified the physical and medical for Indian Army. You can use NER of SK Publication. Be determined, you will qualify written also.

  28. Hi sir my name Bittu Sharma on bihar kaya aap mujh beta skhti hi ki army Clark ka sallbas kaya hi

    1. Prof. Divyanshi Sharma

      Hi Bittu.
      We are providing you with a link, from there you can get syllabus of army clerical.
      Army Clerk/SKT Syllabus, Paper Pattern And Books

  29. Sir I am Dipak sir clerk ke liye 1600 mtr kitne time hunge sir?

    1. Prof. Divyanshi Sharma

      Hi Dipak.
      You will get the maximum of 6.01 minute for completing 1600 meters race.

  30. Hai.. Sir
    My name is nagendra I am selected for SSB -36 ,I screened out but I want to join in Indian Army so, I want to participate in open rally as a clerk so, plz give me a suggestion
    Now I am pursuing BTech if I concerated in SSB, I loss studies

    1. Prof. Divyanshi Sharma

      Hi Nagendra. I think, you have deviated your mind in so many directions and it will take you nowhere. So, i would suggest you to give your full concentration on any one of your choice. Success will be all yours.

  31. Hai
    My self lakshmana rao
    I wanted join in Indian Army asTec/clk
    Pls suggest Me in correct way

    1. Prof. Divyanshi Sharma

      Hi Lakshman.
      May we know which way you are asking for our help. If you could be more specific then we will be able to help you in a much more proficient way.

  32. Jay hind
    Sir mre 10th class english aur math mein 40%mark nahi hai but +2 mein each subject mein 40% mark se upar hai aur mein graduate complete kar chuka hu… Toh sir kya mein army clerk ke liye apply kar sakta hu????
    Sir reply jaldi dena….. Please

    1. Hi Amruta. If you have completed your Graduation in either of these subjects, Maths / Account / Book Keeping and English then you can absolutely apply for the post of army clerk. There would not be the stipulation of percentage in class 10th and 12th.

  33. Sir mera ankh thoda kharap hai. Aur sub kuch perfect hai. Mai pehele physical pass karke ukse bad thoda time leke eye operation kara dunga. Aisa ho sakta hai kya?

    1. Hey Rajendra, if you are to undergo any operation, then it should at least 6 months before the medical exam, else, you may be disqualified. So, i will advice you to first get operated and then go for the rally after sometime.

  34. sir clerk ki running kitni h

    1. Hey Sonveer, you will need to complete the running of 1600 meters in minimum possible time to get to next round. Please see the article “soldier clerk eligibility and selection process” for more details.

  35. Sir can you send me some sample questions of Indian army clerk exam Plz.
    you can also send me some links related to this.

    1. Hey Manish, the link for clerk sample papers and previous year papers is given at the first paragraph of this article. Please see the article again.

  36. rudraveer singh rajput

    Sir kya army clerk ka question Hindi me hota hai?

    1. Yes Rudraveer, the questions are asked in both languages i.e Hindi and English. You can answer in any of the two languages.

  37. Sr mare hath me mane apna naam likhya ha kiya indian army allowed ha pls reply sir?

    1. Hey Gobind, if the tattoo is not too big, then you have chances. According to new tattoo rules of army, tattoos upto certain width and height are allowed.

  38. sir i am shivshakti singh mujhe chest me nikal diye kya karunga iske liye?

    1. Hey Shivshakti, if you were disqualified due to chest, then you should workout on your chest. Do chest exercises and other stuff that will help improve your chest.

  39. Sir me army ki race ko 4:50 me kar deta hu.

  40. I’m Vijay Choudhary army jobs

    1. hey Vijay, i did not understand your query. Please be more clear so that i could give you the appropriate answer. Do comment again.

  41. sir army me race ka koi qualify time nahi hai? maine race 6 minute se kam time me kar di thi phi bhi nikaal diya gaya.

    1. Hey Sonu, though the standard time to qualify for soldier clerk is 6:20 minutes (max), but in reality due to the competition. The standard timings are rarely applied.

      suppose there are 10 candidates participating in the rally, but there is only 2 vacancies. So, it’s obvious that all 10 candidates can not be selected. So, the two who will perform the best will be selected. Same way they select the best performers in the race.

      This concludes that you will need to do better if you want to pass the running test.

  42. What is the running time in army clerk?

    1. Hey Akash, to qualify for the next round, a candidate must complete the race within 6.20 minutes (as per standards).

  43. Sir g kisi kernal ko 1 lackh per month dene se accha h ki 10 yuva ko 10000 per month de or bharti kare or froud kaam band kare aise bahut log h jo des ki seva karna chahte par ya to vo corruption ka shikaar hojaate h ya log unhe unfit bata ke baga dete h……kher kabi to desh ki seva ka mouka milega…..jai hind jai Bharat

  44. Hi, ma army me ana chahta hu or desh ki seva karna chata hu. jai hind!

    1. Prof. Rajeev Mehra

      Hey Vijay, you have great spirit, just keep it up.

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