Mathematics Miscellaneous Quiz - Career Power
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1 www.teachersadda.co.in | www.sscadda.com | www.bankersadda.com | www.adda247.com Mathematics Miscellaneous Quiz Q1. What is unit digit of the sum of first 152 whole numbers ? थम 152 पूण संया के योग का इकाई अंक या है ? (a) 5 (b) 2 (c) 1 (d) 6 Q2. The sum of 10 terms of the arithmetic series is 390. If the third term of the series is 19. Find the first term अंकगणतीय रंखला के 10 पद का योग 390 है. रंखला का तीसरा पद 19 है तो पहला पद ात कीणिए? (a) 3 (b) 5 (c) 7 (d) 8 Q3. What least value must be assigned to ‘*’ so that the number 63576 * 2 is divisible by 8? वह कम से कम मान या है णिसे ‘*’ को णनाणररत ककया िाना चाणहए ताकक संया 63576 * 2, 8 से णवभाय हो? (a) 1 (b) 2 (c) 3 (d) 4 Q4. (a) 1 (b) 6 (c) 8 (d) 5 Q5. − + ÷ + + − =? (a) 1/3 (b) 2 (c) 1 (d) 0
Transcript of Mathematics Miscellaneous Quiz - Career Power
Mathematics Miscellaneous Quiz
Q1. What is unit digit of the sum of first 152 whole numbers ?
152 ?
(a) 5
(b) 2
(c) 1
(d) 6
Q2. The sum of 10 terms of the arithmetic series is 390. If the third term of the series is 19. Find
the first term
10 390 . 19 ?
(a) 3
(b) 5
(c) 7
(d) 8
Q3. What least value must be assigned to ‘*’ so that the number 63576 * 2 is divisible by 8?
‘*’ 63576 * 2, 8 ?
(a) 1
(b) 2
(c) 3
(d) 4
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Q6. The product of two number is 48. If one number equals “The number of wings of a bird plus 2
times the number of finger in your one hand divided by the number of wheels of a Tricycle.” Then
the other number is
48 . “ 2
, ” :
(a) 9
(b) 10
(c) 12
(d) 18
Q7. If in a three-digit number the last two digits’ places are interchanged, a new number is formed
which is greater than the original number by 45. What is the difference between the last two digits
of that number?
,
45 . ?
(a) 9
(b) 8
(c) 6
(d) 5
Q8. The least number that must be subtracted from 1294 so that the remainder when divided by
9, 11, 13 will leave in each case the same remainder 6 is:
1294 9, 11, 13 6 :
(a) 2
(b) 3
(c) 1
(d) 4
(a)
(b)
(c)
(d)
(a) 534
(b) 446
(c) 354
(d) 324
Q11.
Q12. Find the sum of first 39 odd numbers.
39 .
(a) 1331
(b) 1521
(c) 1651
(d) 1728
Q13. When a number is divided by 5, the remainder is 3. What will be the remainder when sum of
cube of that number and square of that number is divided by 5?
5 3 .
5 ?
(a) 1
(b) 2
(c) 3
(d) 4
Q14. The smallest number, which should be added to 756896 so as to obtain a multiple of 11, is
756896 11 :
(a) 1
(b) 2
(c) 3
(d) 5
Q15. Twenty one times of a positive number is less than its
square by 100. The value of the positive number is
21 100 .
:
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Q16. If an angle is five times to its complimentary angle find the angle.
. . (a) 15° (b) 75° (c) 150° (d) 30°
Q17. If two supplementary angles are (7y + 58) and (16y + 53) then find the value of 19y
(7y + 58) (16y + 53) , 19y . (a) 38° (b) 57° (c) 76° (d) 95° Q18. Kishan make a angle 54° 54 instead of 54°, find the percentage error made by Kishan?
54° 54° 54 , ? (a) 10% (b) 1.33% (c) 1.66% (d) 2.33% Q19. In the given figure find the angle x° – y°
x° – y° .
(a) 60° (b) 25° (c) 65° (d) 45°
Q20. In the given figure. Find the ∠A + ∠B + ∠C + ∠D + ∠E = ?
, ∠A + ∠B + ∠C + ∠D + ∠E = ? .
(a) 235°
(b) 225°
(c) 180°
(d) 360°
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Q21. In the given diagram AB is a line the find (2x + 3y)
AB . (2x + 3y) .
(a) 186°
(b) 241°
(c) 466°
(d) 180°
Q22. In the given diagram PQ = PR, PS =SQ = QR then find, ∠R = ?
PQ = PR, PS =SQ = QR ∠R .
(a) 72°
(b) 108°
(c) 45°
(d) 75°
Q23. In the given figure PQ || RT and QR || UV find A = ?
PQ || RT QR || UV. A=? .
(a) 53°
(b) 105°
(c) 78°
(d) 68°
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Q24. In the given figure AB||CD||EF and PQ||RS find ∠QRS.
AB||CD||EF PQ||RS. ∠QRS .
(a) 150°
(b) 135°
(c) 160°
(d) 95°
Q25. If one angle of a linear pairs is acute angle the another angle is
(a) acute angle/
(b) right angle/
(c) obtuse angle/
(d) None of these/
Q26. A certain sum of money is invested at an interest rate of 5% per annum and a second sum,
twice as large as the first, is invested at 5.5% p.a. The total amount of interest earned from the two
investments together is Rs. 1000 per year and the interest is withdrawn every year. The second
sum invested is
(a) Rs. 6250
(b) Rs. 10500
(c) Rs. 12500
(d) Rs. 15000
Q27. If Rahim deposited the same amount of Rs. x in a bank at the beginning of successive 3 years
and the bank pays compound interest at 5% per annum, then the amount at his credit at the end
of 3rd year will be?
(a) 861
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Q28. Nitin borrowed some money at the rate of 6% p.a. for the first three years, 9% p.a. for the
next five years and 13% p.a. for the period beyond eight years. If the total interest paid by him at
the end of eleven years is Rs. 8,160, the money borrowed by him (in Rs.) was:
(a) Rs. 12000
(b) Rs. 6000
(c) Rs. 8000
(d) Rs. 10000
Q29. Rs. 12,000 is divided into two parts so that the simple interest on the first part for 3 years at
12% per annum may be equal to the simple interest on the second part for
years at 16% per
annum. The ratio of the first part to the second part is
(a) 2 : 1
(b) 1 : 2
(c) 2 : 3
(d) 3 : 2
Q30. Out of Rs. 50000, that a man has, he lends Rs. 8000 at
% per annum simple interest and Rs.
24000 at 6% per annum simple interest. He lends the remaining money at a certain rate of
interest so that he gets total annual interest of Rs. 3680. The rate of interest per annum, at which
the remaining money is lent, is
(a) 5%
(b) 7%
(c) 10%
(d) 12%
S2. Ans.(a)
S3. Ans.(c)
Sol. For divisibility by 8, last 3 no should be divisible by 8.
Now, put the value 0, 1, ….2… and check.
When use * = 632
So, Hence it is divisible by 8 answer is 3.
S4. Ans.(c)
S7. Ans.(d)
S8. Ans.(c)
Number’s = 1287 + 6 = 1293
Least no. that must be subtracted
= 1294 – 1293 = 1
⇒ 1
Required sum = (39)² = 1521
S15. Ans.(a)
S16. Ans.(b)
ATQ,
S20. Ans.(c) Sol.
S21. Ans.(b) Sol.
S23. Ans.(d)
S26. Ans.(c)
Sol. Let the two sums be Rs. x and Rs. 2x.
Then, × 5
S27. Ans.(d)
Sol. Let two parts be x : y × 3 × 12
100 =
Q1. What is unit digit of the sum of first 152 whole numbers ?
152 ?
(a) 5
(b) 2
(c) 1
(d) 6
Q2. The sum of 10 terms of the arithmetic series is 390. If the third term of the series is 19. Find
the first term
10 390 . 19 ?
(a) 3
(b) 5
(c) 7
(d) 8
Q3. What least value must be assigned to ‘*’ so that the number 63576 * 2 is divisible by 8?
‘*’ 63576 * 2, 8 ?
(a) 1
(b) 2
(c) 3
(d) 4
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Q6. The product of two number is 48. If one number equals “The number of wings of a bird plus 2
times the number of finger in your one hand divided by the number of wheels of a Tricycle.” Then
the other number is
48 . “ 2
, ” :
(a) 9
(b) 10
(c) 12
(d) 18
Q7. If in a three-digit number the last two digits’ places are interchanged, a new number is formed
which is greater than the original number by 45. What is the difference between the last two digits
of that number?
,
45 . ?
(a) 9
(b) 8
(c) 6
(d) 5
Q8. The least number that must be subtracted from 1294 so that the remainder when divided by
9, 11, 13 will leave in each case the same remainder 6 is:
1294 9, 11, 13 6 :
(a) 2
(b) 3
(c) 1
(d) 4
(a)
(b)
(c)
(d)
(a) 534
(b) 446
(c) 354
(d) 324
Q11.
Q12. Find the sum of first 39 odd numbers.
39 .
(a) 1331
(b) 1521
(c) 1651
(d) 1728
Q13. When a number is divided by 5, the remainder is 3. What will be the remainder when sum of
cube of that number and square of that number is divided by 5?
5 3 .
5 ?
(a) 1
(b) 2
(c) 3
(d) 4
Q14. The smallest number, which should be added to 756896 so as to obtain a multiple of 11, is
756896 11 :
(a) 1
(b) 2
(c) 3
(d) 5
Q15. Twenty one times of a positive number is less than its
square by 100. The value of the positive number is
21 100 .
:
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Q16. If an angle is five times to its complimentary angle find the angle.
. . (a) 15° (b) 75° (c) 150° (d) 30°
Q17. If two supplementary angles are (7y + 58) and (16y + 53) then find the value of 19y
(7y + 58) (16y + 53) , 19y . (a) 38° (b) 57° (c) 76° (d) 95° Q18. Kishan make a angle 54° 54 instead of 54°, find the percentage error made by Kishan?
54° 54° 54 , ? (a) 10% (b) 1.33% (c) 1.66% (d) 2.33% Q19. In the given figure find the angle x° – y°
x° – y° .
(a) 60° (b) 25° (c) 65° (d) 45°
Q20. In the given figure. Find the ∠A + ∠B + ∠C + ∠D + ∠E = ?
, ∠A + ∠B + ∠C + ∠D + ∠E = ? .
(a) 235°
(b) 225°
(c) 180°
(d) 360°
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Q21. In the given diagram AB is a line the find (2x + 3y)
AB . (2x + 3y) .
(a) 186°
(b) 241°
(c) 466°
(d) 180°
Q22. In the given diagram PQ = PR, PS =SQ = QR then find, ∠R = ?
PQ = PR, PS =SQ = QR ∠R .
(a) 72°
(b) 108°
(c) 45°
(d) 75°
Q23. In the given figure PQ || RT and QR || UV find A = ?
PQ || RT QR || UV. A=? .
(a) 53°
(b) 105°
(c) 78°
(d) 68°
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Q24. In the given figure AB||CD||EF and PQ||RS find ∠QRS.
AB||CD||EF PQ||RS. ∠QRS .
(a) 150°
(b) 135°
(c) 160°
(d) 95°
Q25. If one angle of a linear pairs is acute angle the another angle is
(a) acute angle/
(b) right angle/
(c) obtuse angle/
(d) None of these/
Q26. A certain sum of money is invested at an interest rate of 5% per annum and a second sum,
twice as large as the first, is invested at 5.5% p.a. The total amount of interest earned from the two
investments together is Rs. 1000 per year and the interest is withdrawn every year. The second
sum invested is
(a) Rs. 6250
(b) Rs. 10500
(c) Rs. 12500
(d) Rs. 15000
Q27. If Rahim deposited the same amount of Rs. x in a bank at the beginning of successive 3 years
and the bank pays compound interest at 5% per annum, then the amount at his credit at the end
of 3rd year will be?
(a) 861
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Q28. Nitin borrowed some money at the rate of 6% p.a. for the first three years, 9% p.a. for the
next five years and 13% p.a. for the period beyond eight years. If the total interest paid by him at
the end of eleven years is Rs. 8,160, the money borrowed by him (in Rs.) was:
(a) Rs. 12000
(b) Rs. 6000
(c) Rs. 8000
(d) Rs. 10000
Q29. Rs. 12,000 is divided into two parts so that the simple interest on the first part for 3 years at
12% per annum may be equal to the simple interest on the second part for
years at 16% per
annum. The ratio of the first part to the second part is
(a) 2 : 1
(b) 1 : 2
(c) 2 : 3
(d) 3 : 2
Q30. Out of Rs. 50000, that a man has, he lends Rs. 8000 at
% per annum simple interest and Rs.
24000 at 6% per annum simple interest. He lends the remaining money at a certain rate of
interest so that he gets total annual interest of Rs. 3680. The rate of interest per annum, at which
the remaining money is lent, is
(a) 5%
(b) 7%
(c) 10%
(d) 12%
S2. Ans.(a)
S3. Ans.(c)
Sol. For divisibility by 8, last 3 no should be divisible by 8.
Now, put the value 0, 1, ….2… and check.
When use * = 632
So, Hence it is divisible by 8 answer is 3.
S4. Ans.(c)
S7. Ans.(d)
S8. Ans.(c)
Number’s = 1287 + 6 = 1293
Least no. that must be subtracted
= 1294 – 1293 = 1
⇒ 1
Required sum = (39)² = 1521
S15. Ans.(a)
S16. Ans.(b)
ATQ,
S20. Ans.(c) Sol.
S21. Ans.(b) Sol.
S23. Ans.(d)
S26. Ans.(c)
Sol. Let the two sums be Rs. x and Rs. 2x.
Then, × 5
S27. Ans.(d)
Sol. Let two parts be x : y × 3 × 12
100 =
