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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.
| 1. |
Find a 4-digit odd number using each of the digits 1, 2, 4 and 5 only once such that when the first and the last digits are interchanged, it is divisible by 4. |
| Answer» 4-digits odd number = 4521. | |
| 2. |
A merchant has 120 litres of oil of one kind, 180 litres of another kind and 240 litres of a third kind. He wants to sell the oil by filling the three kinds of oil in tins of equal capacity. What should be the greatest capacity of such a tin? |
| Answer» 60 L capacity of such a tin. | |
| 3. |
What can the maximum number of digits be in therepeating block of digits in the decimal expansion of `1/7?`Perform the division of check your answer. |
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Answer» `1/7=0.overline(142857)` 6 digits. |
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| 4. |
यदि 5437*7,9 से विभाजित हो तो * के स्थान पर अंक होगा। |
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Answer» Correct Answer - C `(5+4+3+2+x+7)/9=(21+x)/9` `x` का मान 6 रखने पर संख्या 9 से पूर्णत विभाजित होगी) `=(21+6)/9-27/9=0` remainder प्रमेय : यदि किसी संख्या के अंकों का योगफल 9 से पूर्णतः विभाजित हो तथा शेषफल 0 प्राप्त हो तो वह संख्या 9 से विभाजित होगी। |
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| 5. |
Fill in the blanks to make the statements true.(a) 1 metre = _____ millimetres. (b) 1 centimetre = _____ millimetres. (c) 1 kilometre = _____ millimetres. |
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Answer» (a) 1000 (b) 10 (c)10,00,000 |
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| 6. |
State whether the given statements are true (T) or false (F).If a number exactly divides the sum of three numbers, it must exactly divide the numbers separately. |
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Answer» If a number exactly divides the sum of three numbers, it must exactly divide the numbers separately. False |
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| 7. |
Out of 180000 tablets of Vitamin A, 18734 are distributed among the students in a district. Find the number of the remaining vitamin tablets. |
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Answer» The remaining vitamin tablets is 161266. |
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| 8. |
Look at several examples of rational numbers in the form p/q (q ≠ 0), where p and q are integers with no common factors other than 1 and having terminating decimal representations. Can you guess what property q must satisfy? |
| Answer» A rational number p/q is a terminating decimal only, when prime factors of q are q and 5 only. Therefore, p/q is a terminating decimal only, when prime factorization of q must have only powers of 2 or 5 or both. | |
| 9. |
If the difference between the sum of digits at odd places (from the right) and the sum of digits at even places (from the right) of a number is either 0 or divisible by _____, then the number is divisible by 11. |
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Answer» If the difference between the sum of digits at odd places (from the right) and the sum of digits at even places (from the right) of a number is either 0 or divisible by 11, |
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| 10. |
Visualise `2. 665`on the number line, using successive magnification. |
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Answer» `2<2.665<3` `2.6<2.665<2.7` `2.66<2.665<2.67` |
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| 11. |
The decimal expansion of the number √2 is(a) a finite decimal (b) 1.41421(c) non-terminating recurring (d) non-terminating non-recurring |
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Answer» The decimal expansion of the number √2 is non-terminating non-recurring. Because √2 is an irrational number. Also, we know that an irrational number is non-terminating non-recurring. |
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| 12. |
The product of any two irrational numbers is(a) always an irrational number (b) always a rational number(c) always an integer ( d) sometimes rational, sometimes irrational |
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Answer» (d) We know that, the product of any two irrational numbers is sometimes rational and sometimes irrational. e.g., √2 x √2 = 2 (rational) and √2 x √3 = √6 (irrational) |
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| 13. |
एक संख्या को जब 136 से भाग दिया जाता है तो शेषफल 36 प्राप्त होता है। यदि उसी संख्या को 127 से भाग दिया जाए तो शेषफल क्या होगा?A. 9B. 7C. 3D. 2 |
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Answer» Correct Answer - D `("Remainder of no")/17=36/17` `implies` remainder `=2` |
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| 14. |
In the following equations, find which variables x, y, z etc. represent rational or irrational numbers: (i) x2 = 5 (ii) y2 = 9 (iii) z2 = 0.04 (iv) u2 = 17/ 4(v) v2 = 3 (vi) w2 = 27 vii) t2 = 0.4 |
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Answer» (i) We have x2 = 5 Taking square root on both sides. => √x2 = √5 => x = √5 √5 is not a perfect square root, so it is an irrational number. (ii) We have y2 = 9 => y = √9 =3 =3/1 √9 can be expressed in the form of p/q, so it a rational number. (iii) We have z2 = 0.04 Taking square root on both sides, we get, √z2 =√0.04 => z = √0.04 = 0.2 = 2/10 = 1/5 z can be expressed in the form of p/q, so it is a rational number. (iv) We have u2 =17/4 Taking square root on both sides, we get, √u2 =√17/4 => u = √17/2 Quotient of an irrational and a rational number is irrational, so u is an irrational number. (v) We have v2 = 3 Taking square root on both sides, we get, √v2 = √13 => v = √3 √3 is not a perfect square root, so y is an irrational number. (vi) We have w2 = 27 Taking square root on both sides, we get, √w2 = √27 => w = √3 x 3 x 3 =3√3 Product of a rational and an irrational is irrational number, so w is an irrational number. (vii) We have t2 = 0.4 Taking square root on both sides, we get √t2 = √0.4 => t = √4/10 = 2/√10 Since, quotient of a rational and an irrational number is irrational number, so t is an irrational number. |
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| 15. |
`(0.bar(63)+0.bar(37))` का मान है।A. 1B. `100/99`C. `99/100`D. `100/33` |
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Answer» Correct Answer - B `(0.bar63+0.bar37)=63/99+37/99` `=(63+37)/99=100/99` |
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| 16. |
उन सभी अभाज्य संख्याओं का जो 17 से बड़ी नहीं है योग है।A. 59B. 58C. 41D. 42 |
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Answer» Correct Answer - B `2+3+5+7+11+13+17=58` |
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| 17. |
State whether the given statements are true (T) or false (F).The LCM of two numbers is greater than the larger of the numbers. |
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Answer» The LCM of two numbers is greater than the larger of the numbers. False |
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| 18. |
State whether the given statements are true (T) or false (F).Every multiple of a number is greater than or equal to the number. |
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Answer» Every multiple of a number is greater than or equal to the number. True. |
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| 19. |
State whether the given statements are true (T) or false (F).A whole number divided by another whole number greater than 1 never gives the quotient equal to the former. |
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Answer» A whole number divided by another whole number greater than 1 never gives the quotient equal to the former. True. |
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| 20. |
State whether the given statements are true (T) or false (F).LXXIV = 74 |
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Answer» LXXIV = 74 True |
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| 21. |
Fill in the blanks to make the statements true.100 thousands = _____ lakh. |
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Answer» 100 thousands = 1 lakh |
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| 22. |
The largest 4-digit number, using any one digit twice, from digits 5, 9, 2 and 6 is (A) 9652 (B) 9562 (C) 9659 (D) 9965 |
| Answer» The correct option is (D) 9965. | |
| 23. |
State whether the given statements are true (T) or false (F).The number 81652318 will be read as eighty one crore six lakh fifty two thousand three hundred eighteen. |
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Answer» The number 81652318 will be read as eighty one crore six lakh fifty two thousand three hundred eighteen. False |
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| 24. |
One million is equal to (A) 1 lakh (B) 10 lakh (C) 1 crore (D) 10 crore |
| Answer» The correct option is (B) 10 lakh. | |
| 25. |
State whether the given statements are true (T) or false (F).The HCF of two numbers is smaller than the smaller of the numbers. |
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Answer» The HCF of two numbers is smaller than the smaller of the numbers. False |
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| 26. |
Which of the following pairs is not co-prime? (A) 8, 10 (B) 11, 12 (C) 1, 3 (D) 31, 33 |
| Answer» The correct option is (A) 8, 10. | |
| 27. |
State whether the given statements are true (T) or false (F).If the HCF of two numbers is one of the numbers, then their LCM is the other number. |
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Answer» If the HCF of two numbers is one of the numbers, then their LCM is the other number. True |
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| 28. |
State whether the given statements are true (T) or false (F).Every number is a multiple of itself. |
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Answer» Every number is a multiple of itself. True |
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| 29. |
State whether the given statements are true (T) or false (F).Sum of two whole numbers is always less than their product. |
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Answer» Sum of two whole numbers is always less than their product. False |
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| 30. |
State whether the given statements are true (T) or false (F).Any non-zero whole number divided by itself gives the quotient 1. |
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Answer» Any non-zero whole number divided by itself gives the quotient 1. True |
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| 31. |
State whether the given statements are true (T) or false (F).The product of two whole numbers need not be a whole number |
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Answer» The product of two whole numbers need not be a whole number False |
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| 32. |
Simplify:2/ √5 + √3 + 1/√3+√2 - 3/√5+√2 (A) 1 (B) 0 (C) 10 (D) 100 |
| Answer» The correct option is (B) 0 | |
| 33. |
The product of √3 and 3√5 is: (A) 6√375 (B) 6√675 (C) 6√575 (D) 6√475 |
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Answer» The correct option is (B) 6√675 |
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| 34. |
As per the census of 2001, the population of four states are given below. Arrange the states in ascending and descending order of their population. (a) Maharashtra 96878627 (b) Andhra Pradesh 76210007 (c) Bihar 82998509 (d) Uttar Pradesh 166197921 |
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Answer» ascending order – (b), (c), (a), (d), descending order – (d), (a), (c), (b) |
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| 35. |
Of the following numbers which is the greatest? Which is the smallest 38051425, 30040700, 67205602. |
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Answer» 67205602, 30040700 |
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| 36. |
`3/4` और `3/8` के बीच एक परिमेय संख्या है।A. `7/9`B. `7/3`C. `5/9`D. `1 9/6` |
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Answer» Correct Answer - C `3/4=0.75 3/8=0.0375` (a) `7/9to0.77` (b) `7/3to2.3` (c) `5/9to0.55` (d) `1 9/16=25/16to1.5` `5/9=0.55` |
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| 37. |
किसी धनात्मक पूर्णांक का 5 गुणा इस संख्या के वर्ग के दोगुने से 3 कम है तो संख्या ज्ञात करें।A. 3B. 13C. 23D. 33 |
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Answer» Correct Answer - A Let `x` is the number According to question `5x=2x(2)-3` `2x^(2)-5x-3=0` `2x^(2)-6x+x-=0` `2x(x-3)+1(x-3)=0` `(2x+1)(x-3)=0` `x=3` |
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| 38. |
In the marriage of her daughter, Leela spent Rs 216766 on food and decoration,Rs 122322 on jewellery, Rs 88234 on furniture and Rs 26780 on kitchen items. Find the total amount spent by her on the above items |
| Answer» The total amount spent is Rs.454102. | |
| 39. |
Are the following statements true or false? Give reasons for your answer.(i) Every whole number is a rational number.(ii) Every integer is a rational number.(iii) Every rational number is an integer.(iv) Every natural number is a whole number.(v) Every integer is a whole number.(vi) Every rational number is a whole number. |
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Answer» (i) False. As whole numbers include zero, whereas natural number does not include zero. (ii) True. As integers are a part of rotational numbers. (iii) False. As integers are a part of rotational numbers. (iv) True. As whole numbers include all the natural numbers. (v) False. As whole numbers are a part of integers. (vi) False. As rotational numbers includes all the whole numbers. |
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| 40. |
State whether the given statements are true (T) or false (F).1 is the identity for addition of whole numbers. |
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Answer» 1 is the identity for addition of whole numbers. False |
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| 41. |
State whether the given statements are true (T) or false (F).5555 = 5 × 1000 + 5 × 100 + 5 × 10 + 5 × 1 |
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Answer» 5555 = 5 × 1000 + 5 × 100 + 5 × 10 + 5 × 1 True |
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| 42. |
Express `(2157)/(625)`in the decimal form. |
| Answer» `2157/625=3.4512` | |
| 43. |
Convert `(35)/(16)`into decimal form by long division method. |
| Answer» `35/16=2.1875`. | |
| 44. |
Insert `10`rational numbers between `-3/(13)a n d9/(13)dot` |
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Answer» 10 numbers between `-3/13 and 9/13` `-2/13,-1/13,0/13,1/13,2/13,3/13,4/13,5/13,6/13,7/13,8/13`. |
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| 45. |
If `1/7=0. 142857 `, write the decimal expression of `2/7,3/7,4/7,5/6a n d6/7`without actually doing the long division. |
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Answer» if `1/7=0.142857` `2/7=2*1/7=2*0.142857=0.285754` `3/7=3*1/7=3*0.142857=0.428571` `4/7=4*1/7=4*0.142857=0.571428` `5/7=5*1/7=5*0.142857=0.714285` `6/7=6*1/7=6*0.142857=0.857142`. |
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| 46. |
The exponential from of √ (√2 x √2 x √2) is:(A) 21/16 (B) 83/4 (C) 23/4 (D) 81/2 |
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Answer» The correct option is (c) 23/4 |
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| 47. |
The value of x, if 5x-3 . 32x-8 = 225, is : (A) 1 (B) 2 (C) 3 (D) 5 |
| Answer» The correct option is (D) 5 | |
| 48. |
If 25x ÷ 2x = 5 √220 then x =(A) 0 (B) - 1 (C) 1/2 (D) 1 |
| Answer» The correct option is (D) 1 | |
| 49. |
4√3√x2 =(A) x (B) x1/2 (C) x1/3 (D) x1/6 |
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Answer» The correct option is (D) x1/6 |
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| 50. |
3√(729)2.5 = (A) 1/81(B) 81(C) 243(D) 729 |
| Answer» The correct option is (C) 243 | |