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Directions (1 – 5): What value should come in place of question mark (?) in the following questions?
1) 156 × 684 ÷ (12 % of 650) = 56 × 456 ÷ 3 – ? + 5100
a) 12244
b) 13578
c) 14780
d) 16356
e) None of these
2) (3/5) of 2295 × 75 ÷ 15 – ? = 129 ÷ 3 + 157
a) 7154
b) 7328
c) 6892
d) 6685
e) None of these
3) 5 (7/8) + 3 (½) + 7 (¾) – 1 (1/8) =? + 2 (¼)
a) 10 (1/4)
b) 13 (3/4)
c) 12 (5/6)
d) 11 (½)
e) None of these
4) √16384 × √3136 ÷ 8 – 202 =? – 562
a) 3856
b) 3428
c) 3632
d) 3050
e) None of these
5) (729)2 × (117)2 ÷ (13)2 × 35 = 3?
a) 25
b) 21
c) 24
d) 22
e) None of these
Directions (6-10): Study the following pie-chart and table carefully and answer the questions given below
Percentage wise distribution of the number of case registered by court during six years
6) If the court charged a fee of 456 on each case registered in Criminal cases in the month of September, what was the total fee collected on the Criminal cases in the same month?
- 694900
- 644800
- 648400
- 684000
- 670500
7) If 35% of the case registered in Civil cases during October were not have proper witness, how many cases registered in Civil cases during that month were have proper witness?
- 1028
- 1638
- 1728
- 1362
- 1475
8) The number of case registered in civil cases during June is approximately what percent of the number of case registered in civil cases during November?
- 120
- 135
- 144
- 125
- 130
9) What is the respective ratio of the number of case registered in Criminal cases during June to those case registered during November of the same case?
- 119 : 178
- 135 : 136
- 119 : 135
- 119 : 120
- 135 : 119
10) What is the total number of case registered in Criminal cases during July and August together?
- 10,000
- 20,000
- 15,500
- 25,500
- 12, 000
Answers :
Direction (1-5) :
1) Answer: a)
156 × 684 ÷ 12 % of 650 = 56 × 456 ÷ 3 – x + 5100
(156*684) ÷ [(12/100)*650] = (56*456)/3 – x + 5100
(156*684)/78 = 8512 – x + 5100
X = 8512 + 5100 – 1368
X = 12244
2) Answer: d)
(3/5) of 2295 × 75 ÷ 15 – x = 129 ÷ 3 + 157
(3/5)*2295*(75/15) – x = (129/3) + 157
6885 – x = 43 + 157
6885 – 43 – 157 = x
X = 6685
3) Answer: b)
5 (7/8) + 3 (½) + 7 (¾) – 1 (1/8) – 2 (¼) = x
X = (5 + 3 + 7 – 1 – 2) (7/8 + ½ + ¾ – 1/8 – ¼)
X = 12 [(7 + 4 + 6 – 1 – 2)/8] = 12 (14/8) = 13 (6/8)
X = 13 (3/4)
4) Answer: c)
√16384 × √3136 ÷ 8 – 202 = x – 562
(128*56)/8 – 400 = x – 3136
896 – 400 + 3136 = x
X = 3632
5) Answer: b)
(729)2 × (117)2 ÷ (13)2 × 35 = 3x
(36)2 × (117*117)/(13*13) × 35 = 3x
312 × 9 × 9 × 35 = 3x
312 × 32 × 32 × 35 = 3x
312 + 2 + 2 + 5 = 3x
3x = 321
X = 21
Direction (6-10) :
6) Answer: d)
Number of case registered in September = 45000 × 8/100 = 3600
Number of case registered in Criminal cases in September = 3600 × 5/12
= 1500
Total fees collected in Criminal cases in September = 1500 × 456 = 684000
7) Answer: b)
Number of case registered in October = 45000 × 12/100 = 5400
Number of case registered in Civil cases in the year of October = 5400 × 7/15 = 2520
Numbers of case registered in October by Civil cases have proper witness
= 2520 × 65/100
= 2520 × 0.65 = 1638
8) Answer: e)
Number of case registered in June = 45000 × 17/100 = 7650
Number of case registered in Civil cases in June = 7650 × 8/15 = 4080
Number of case registered in November
= 45000 × 16/100 = 7200
Number of case registered in Civil cases in November = 7200 × 7/16 = 3150
Required per cent = 4080/3150 × 100 = 129.52
= 130
9) Answer: c)
Total number of case registered in June = 45000 × 17/100 = 7650
Case registered in Criminal cases in June = 7650 × 7/15 = 3570
Total number of case registered in November = 45000 × 16/100 = 7200
Case registered in Criminal cases in November = 7200 × 9/16 = 4050
Required ratio = 3570/4050
= 357/405
= 119/135
=119:135
10) Answer: a)
Number of case registered in July = 22/100 × 45000 = 9900
Number of case registered in August = 25/100 × 45000 = 11250
Number of case registered in Criminal cases in July = 9900 × 5/9 = 5500
Number of case registered in Criminal cases in August = 11250 × 2/5 = 4500
Total number of case registered in July and August by Criminal cases
= 5500 + 4500 = 10000
