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SIMPLIFICATIONS 

Directions (Qs. 1 - 27): What will come in place of question mark (?) in the following questions?

1. What should come in place of ?

65847 + 25684 − 12563 = ?

A) 78968     B) 65432     C) 56432    D) 64123     E) 76421

Sol: 65847 + 25684 − 12563 = 78968

Ans: A

2. 3624 ÷ 14 ÷ 6 = ?

A) 51.65     B) 43.14     C) 23.21    D) 65.14     E) 45.62

3. 592 − 292 + 312 = ?

A) 1201     B) 3601     C) 2202     D) 3402     E) None of the above

Sol: 592 − 292 + 312  = ?

= (59 × 59) − (29 × 29) + (31 × 31)

= 3481 − (841) + (961)

= 3481 − 841 + 961 = 3601

Ans: B

4. (308.40 × ?) ÷ 220 + 37 = 44

A) 2     B) 8     C) 5     D) 12     E) 16

Sol: = ((308.40 × 5) ÷ 220) + 37

= (1542 ÷ 220) + 37 =

(7.0) + 37 = 44

Ans: C

5. (29 × 62 − 130) ÷ 25 = ?

A) 31.22     B) 54.32    C) 66.72    D) 78.12    E) 32.56

Sol: (29 × 62 − 130) ÷ 25

6. 15.25 × 6.2 + 84.33 = ?

A) 112.32     B) 114    C) 115.67    D) 119    E) 178.88

Sol: (15.25 × 6.2) + 84.33 = 178.88

Ans: E

9. 50% of 280 × 35% of 1200 = ?

A) 43200     B) 32400    C) 64000    D) 58800     E) None of the above

Sol: = 50% of 280 × 35% of 1200

10. 40% of 280 + 60% of 1880 = 85 % of 1400 + ?

A) 25     B) 50    C) 80    D) 45      E) 70

Sol: = 40% of 280 + 60% of 1880  = 85 % of 1400 + ?

11. 1980 ÷ 72 + 125 = ? − 692 

A) 2334.2      B) 4467.7     C) 3345.6     D) 4913.5    E) None of the above

12. 1884 + 677 + 3745 ÷ 16 = ?

A) 2795      B) 1334      C) 4335     D) 6781     E) None of the above

13. 88 + 0.88 + 88.98 + 7.8 + 0.0088 = ?

A) 244.66     B) 185.66      C) 311.55      D) 455.66     E) None of the above

Sol: = 88 + 0.88 + 88.98 + 7.8 + 0.0088 = 185.66

Ans: B

15. (9962) ÷ 34 + 160 − 102 = ?

A) 351     B) 442    C) 673    D) 541    E) 667

26. 19(119 ÷ 17) − 149 + 2005 = ?

A) 1989     B) 1991     C) 2005    D) 2001     E) 1967

Some more....

1. What should come in place of ?
65412 + 42548 + 42565 = ?
A) 153547    B)150525
C)154549    D) 156542    E) 155693
Sol: Unit digit of a sum will always depend on
the unit digit of individual numbers.
So, 2 + 8 + 5 = 5 (last digit)
Ans: B

2. What should come in place of ?
2472 ÷ 48 ÷ 5 = ?
A) 10.3    B) 17.4    C) 16.3
D) 15.8    E) 23.1
1 1

Sol:

Ans: A

3. What should come in place of ?
652 − 592 + 392 = ?
A) 2442   B) 2046    C) 2031
D) 2265    E) 2232
Sol: 652 − 592 + 392 = ?
= 4225 − 3481 + 1521 = 2265
Ans: D

4. What should come in place of ?
763 ÷ 14 = ? − 25.5
A) 85    B) 80    C) 40
D) 14    E) 90
Sol: 763 ÷ 14 = ? − 25.5
? = 763 ÷ 14 + 25.5
? = 80

Ans: B

5. What should come in place of ?
(36 × 19 − 324) ÷ 18 = ?
A) 20    B) 26.8    C) 41.8
D) 45    E) 57.5
Sol: (36 × 19 − 324) ÷ 18 = ?
? = (36 × 19 − 324) ÷ 18 = 20
Ans: A

6. What should come in place of ?


A) 53    B) 39    C) 45
D) 43     E) 52
Sol: 


Ans: B

7. What should come in place of ?
75% of 960 × 37.5% of 560 = ?
A) 151200    B) 125410    C) 156000
D) 152000    E) 123520

Sol: 75% of 960 × 37.5% of 560 = ?
= 0.75 (960) × 0.375 (560) = 151200

Ans: A

8. What should come in place of ?
35% of 140 + 45% of 160
= 87.5% of 120 + ?
A) 17    B) 16    C) 19.5
D) 17.5    E) 15.6
Sol: 35% of 140 + 45% of 160
= 87.5% of 120 + ?
? = 49 + 72 − 105 = 16

Ans: B

9. What should come in place of ?
140% of 250 + 120% of 320
= 150% of 240 + ?
A) 444    B) 474    C) 347
D) 374    E) 396
Sol: 140% of 250 + 120% of 320
= 150% of 240 + ?
? = 350 + 384 − 360 = 374
? = 374 

Ans: D

10. What should come in place of ?
1782 ÷ 36 + 149 = ? − 412
A) 1752.5    B) 1879.5    C) 1732.5
D) 1058.5    E) 1875.5
Sol: 1782 ÷ 36 + 149 = ? − 412
? = 49.5 + 149 + 1681 = 1879.5
Ans: B

11. What should come in place of ?
1874 + 1457 + 2870 ÷ 14 = ?
A) 3498    B) 3536    C) 3758
D) 3960    E) 3675
Sol: 1874 + 1457 + 2870 ÷ 14 = ?

Ans: B

12. What should come in place of ?
76.5 + 7.65 + 0.765 + 765 + 0.0765 + 7650
= ?
A) 8499.4762    B) 8745.245
C) 8445.7575    D) 8499.9915
E) 8749.2895
Sol: 76.5 + 7.65 + 0.765 + 765 + 0.0765 + 7650
= 8499.9915
Ans: D

13. What should come in place of ?

A) 4    B) 6    C) 25    D) 18    E) 10

Sol: 


Ans: A

14. What should come in place of ?
(8208) ÷ 36 + 163 − 141 = ?
A) 254 B) 244 C) 250
D) 450 E) 270
Sol: (8208) ÷ 36 + 163 − 141 = ?
? = 228 + 22 = 250
Ans: C

15. What should come in place of ?

A) 625    B) 364    C) 325
D) 225    E) 334

Sol:

Ans: D

16. What should come in place of ?
(50 × ?) + 45 × 36 = 1720
A) 2    B) 4    C) 6    D) 20    E) 5
Sol: (50 × ?) + 45 × 36 = 1720
(50 × ?) = − 45 × 36 + 1720

Ans: A

17. What should come in place of ?
70% of 530 + ? = 45% of 1250 + 50% of 1700
A) 1835.75    B) 1825.5
C) 812.5    D) 1041.5    E) 1826
Sol: 70% of 530 + ?
= 45% of 1250 + 50% of 1700
? = 45% of 1250 + 50% of 1700 − 70% of 530
? = 562.5 + 850 − 371
? = 1041.5
Ans: D

18. What should come in place of ?

A) 720    B) 779   C) 736
D) 756    E) 956

Sol: 

Ans: B

19. What should come in place of ? 4266 ÷ 18 + ? × 4 = 80

A) 39.25    B) 24.25    C) 35.55
D) 31.26     E) 34.52

Sol: 4266 ÷ 18 + ? × 4 = 80
? × 4 = 237 − 80
? = 157 ÷ 4 = 39.25

Ans: A

20. What should come in place of ?

A) 420    B) 497    C) 457
D) 452    E) 416

Ans: B

21. What should come in place of ?


A) 130    B) 182    C) 126
D) 112    E) 188

Sol: 

Ans: B

* What should come in place of ?

3952 ÷ 26 × 15 + 625 − 343 = ?
A) 2562    B) 2954
C) 2263    D) 2142
E) 4125

Sol: 3952 ÷ 26 × 15 + 625 − 343 = ?
? = 152 × 15 + 282
? = 2562

Ans: A

* What should come in place of ?

24512 + 65245 − 41254 − 45241 = ?
A) 3262    B) 3141
C) 3154    D) 3156
E) 2135

Sol: Unit digit of a sum will always depend on the unit digit of individual numbers.
24512 + 65245 − 41254 − 45241 = ?
So, 2 + 5 − 4 − 1 = 2

Ans: A

* What should come in place of ?

A) 3356    B) 3180
C) 3080    D) 3564    E) 3304

Sol: 

Ans: E

* What should come in place of ? (26 × 12 × 17) ÷ (13 × 6) = Ö ¾?
A) 4125    B) 4225
C) 4624    D) 4251
E) 4620

Sol:

Ans: C

* What should come in place of x

45% of 120 + x% of 500
= 60% of 1800
A) 250.35   B) 224.36
C) 225.75   D) 205.2
E) 212.6

Sol: 45% of 120 + x% of 500
= 60% of 1800
5x = 60% of 1800 − 45% of 120
5x = 1026

Ans: D

Directions (Q. 1 - 10): What will come in place of question mark (?) in the following questions?

1. 3463 × 295 − 18611 = ? + 5883
Ans: 997091
Exp:
3463 × 295 − 18611 = ? + 5883
 ? = 1021585 − 18611 − 5883 = 997091

 

2. 2652 ÷ 39 ÷ 17 = ?
Ans: 4
Exp:


Ans:  

Exp:

4. (4444 ÷ 40) + (645 ÷ 25) + (3991 ÷ 26) = ?
Ans: 290.4
Exp:
(4444 ÷ 40) + (645 ÷ 25) + (3991 ÷ 26)
  111.1 + 25.8 + 153.5 = 290.4

Ans:  382
Exp:


Ans: 3721
Exp:


Ans: 64
Exp:

8. (2746 × 49) + 150180 = ? × 118
Ans: 2413
Exp:

Ans: 3
Exp:

10. 362.3 × 61.4 ÷ 60.8 = 36?
Ans: 2.6

Exp:

Directions (Q. 11 - 20): What approximate value should come in place of question mark (?) in the following questions?
Note: You are not expected to calculate the exact value.

 

11. 39.897% of 4331 + 58.779% of 5003 = ?
Ans: 4700
Exp:
39.897% of 4331 + 58.779% of 5003
= 40% of 4330 + 60% of 5000
=  1732 + 3000 = 4732 ≈ 4700

Ans: 10

Exp:

13. 43931.03 ÷ 2111.02 × 401.04 = ?
Ans: 8300
Exp:
43931.03 ÷ 2111.02 × 401.04
 43930 ÷ 2110 × 400

  20.8 × 400 = 8320 ≈ 8300


 
Ans: 180
Exp: 


Ans: 4890
Exp:

16. 1339.28% of 49.67 = ?
Ans: 670
Exp:
1339.28% of 49.67
1340% of 50 = 50% of 1340 = 670

 

17. 335.01 × 244.99 ÷ 55 = ?
Ans: 1490
Exp:
335.01 × 244.99 ÷ 55
=  335 × 245 ÷ 55
 = 335 × 4.45 ≈ 1490

Ans:  51
Exp:


19. 124.945 + 7.894 × 1.493 = ?
Ans:  137
Exp:
124.945 + 7.894 × 1.493 = ?
125 + 8 × 1.5 = 137

 

20. (352 % of 49.6) − 74.638 = ?
Ans:  100
Exp:
(352% of 49.6) − 74.638
350% of 50 − 75 = 100

Directions (Q. 21 - 25): What should come in place of question mark (?) in the following questions?
21. (56 × 280) ÷ (14 × 112) = ?
Ans: 10
Exp:
(56 × 280) ÷ (14 × 112)

22. 9207 ÷ 27 × (0.2)2 = ?
    1) 136.4     2) 2492    3) 1.364    4) 126.7    5) None of these
Ans: 5
Exp:
9207 ÷ 27 × (0.2)2


Ans: 3
Exp:


Ans: 616
Exp:

Ans:  
Exp:

SIMPLE INTEREST & COMPOUND INTEREST

1. The simple interest on a sum of money is 1/9 of the principal and the number of years is equal to the rate percentage per annum. Find the rate percentage.
 a) 3%     b)  1/3%       c) 10%     d) 9%     
Sol: Let R be the rate percentage. Then, 

Ans: b

2. The difference between the CI and SI on a certain sum of money at 5% per annum for 2 years is Rs.1.50. Find the sum.
a) Rs.6,000         b) Rs.1,200         c) Rs.600        d) Rs.300 


Ans: c 3. The simple interest on a certain sum of money at 4% per annum for 4 years is Rs.80 more than the simple interest on the same sum of money for 3 years at 5% per annum. Find the sum.
a) Rs.4,000       b) Rs.8,000       c) Rs.4,030       d) None of these
Sol: Let the principal amount be P. Then, 4 

Ans: b


4. In what time will Rs.2,000 amount to Rs.2,500 at 10% per annum simple interest?
a) 2.5 years          b) 1.5 years            c) 2 years                  d) 5 years 
Sol: Let T be the time. Then, 


Ans: a

5. A sum invested at 4% simple interest p.a. grows to Rs.648 in 5 years. In two years the same amount at 10% simple interest p.a. will grow to
a) Rs.600          b) Rs.650          c) Rs.648              d) Rs.594
Sol: Let sum be Rs.x, then SI = Rs.(648 - x) 

Ans: c

6. Ravi borrowed Rs.5,000 for 10 years at the rate of 3% per annum SI from Raj. How much interest will Raj earn at the end of  this period?
a) Rs.1,500        b) Rs.1,000            c) Rs.15,000           d) Rs.1507
Sol: P = Rs.5,000     r = 3% p.a.    n = 10 years 

Ans: a

7. If a sum of money at  a certain rate of simple interest  doubles in 5 years and at a different rate of simple interest becomes three times in 12 years, the better rate of interest is in
a) Case-1            b) Case-2           c) Equal in both cases             d) None of these
Sol:  Case 1: SI = A - P = 2P - P = P 


Hence, rate of interest is better in Case-1.
Ans: a

8. An amount of money becomes Rs.4,840 in 2 years and Rs.5,324 in 3 years on CI. Find the rate percentage per annum.
a) 10%          b) 15%          c) 12%          d) 8% 

Ans: a

9. In what time does a sum of money become four times at simple interest rate of 5% per annum?
a) 60 years       b) 61 years       c) 63 years        d) 65 years
Sol: Let the principal amount be p. For it to become four times, interest should be 3p. 

Ans: a

10. If a sum on compound interest becomes three times in 4 years, then with the same interest rate, the sum will become 81 times in
a) 16 years          b) 8 years         c) 12 years          d) 24 years 

11. Divide Rs.1,105 between A and B, so that the amount of A after 5 years is equal to the amount of B after 7 years, the interest being compounded at 10% per annum.
a) Rs.705, Rs.400          b) Rs.605, Rs.500             c) Rs.650, Rs.455              d) None of these
Sol: Let two parts be Rs.x and 

So, the two parts are Rs.605 and (1105 − 605) = Rs.500.
Ans: b

12. Divide Rs.3,650 into two parts such that the SI on the first part at 6% for 2 years is equal to the SI on the second part at 4% in 3 years. Find the two parts.
a) Rs.1,900, Rs.1,750          b) Rs.1,825, Rs.1,825            c) Rs.2,000, Rs.1,650          d) Rs.1,800, Rs.1,850
Sol: First part = Rs.x, R = 6%, N = 2 years
Second part = 3,650 − x, R = 4%, N = 3 Years
According to the given condition, 


⇒ 2x = 3650  
⇒  x = Rs.1,825
Second part = 3,650 - 1,825 = Rs.1,825.
Ans: b

13. A bank offers 5% per annum CI calculated on half-yearly basis. A customer deposited Rs.1,600 each on  January 1 and July 1 of a year. The interest he would have gained at the end of the year is
a) Rs.120         b) Rs.244          c) Rs.121          d) Rs.81
Sol: Since rate of interest is half yearly 

Total CI = 3,321 − 1,600 − 1,600 = Rs.121.
Ans: c

14. The rate of interest for the first 2 years is 6% per annum, for the next 3 years is 16% per annum, and for the period beyond 5 years is 20% per annum. If a man gets Rs.6,080 as a simple interest for 6 years, then how much amount did he deposit?
a) Rs.8,000         b) Rs.6,400        c) Rs.7,600          d) Rs.7,200
Sol: Let deposited amount be Rs.x. Then, 

⇒ x = Rs.7,600        
Ans: c

15. A man borrows Rs.6,720 to be paid back with compound interest at the rate of 10% per annum by the end of 2 years in two equal yearly installments. How much will each installment be?
a) Rs.3,608         b) Rs.3,902            c) Rs.3,872             d) Rs.4,048
Sol: Let the value of each installment be x, Then, 

So, each installment = Rs.3,872
Ans: c

16. The CI and SI on a certain sum for 2 years is Rs.40.80 and Rs.40 respectively. Find the rate of interest per annum and the sum.
a) 3%, Rs.425         b) 4%, Rs.500          c) 5%, Rs.600            d) 2%, Rs.620 

Ans: b



 

Posted Date : 27-09-2022

గమనిక : ప్రతిభ.ఈనాడు.నెట్‌లో కనిపించే వ్యాపార ప్రకటనలు వివిధ దేశాల్లోని వ్యాపారులు, సంస్థల నుంచి వస్తాయి. మరి కొన్ని ప్రకటనలు పాఠకుల అభిరుచి మేరకు కృత్రిమ మేధస్సు సాంకేతికత సాయంతో ప్రదర్శితమవుతుంటాయి. ఆ ప్రకటనల్లోని ఉత్పత్తులను లేదా సేవలను పాఠకులు స్వయంగా విచారించుకొని, జాగ్రత్తగా పరిశీలించి కొనుక్కోవాలి లేదా వినియోగించుకోవాలి. వాటి నాణ్యత లేదా లోపాలతో ఈనాడు యాజమాన్యానికి ఎలాంటి సంబంధం లేదు. ఈ విషయంలో ఉత్తర ప్రత్యుత్తరాలకు, ఈ-మెయిల్స్ కి, ఇంకా ఇతర రూపాల్లో సమాచార మార్పిడికి తావు లేదు. ఫిర్యాదులు స్వీకరించడం కుదరదు. పాఠకులు గమనించి, సహకరించాలని మనవి.

 

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పాత ప్రశ్నప‌త్రాలు

 

విద్యా ఉద్యోగ సమాచారం

 

నమూనా ప్రశ్నపత్రాలు

 

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