Quant Test for NIACL 2018 Prelim Exam Set – 10

Directions(1-5): What will come in place of question mark “?” in the following questions.

1. 145 × 6 + 240 × 5 = ? % of 3000
   69
   65
   96
   62
   55
   Option A
   145 × 6 + 240 × 5 = ? % of 3000
   => 870 + 1200 = ? % of 3000
   => 2070× 100/ 3000 = 69

    

2. 3/ 5 of 7/ 4 × 16/21 of 2425 = ?
   1220
   1150
   1940
   1111
   1880
   Option C
   3/5 of 7/4 × 16/ 21 of 2425 = ? = 1940

    

3. 56% of 616 – ?% of 482 = 103.96
   40
   50
   55
   58
   48
   Option B
   56% of 616 – ?% of 482 = 103.96
   => 344.96 – ?% of 482 = 103.96
   =>?% of 482 = 241
   =>?/ 100 ×482 = 241 = 50

    

4. 56 × 15 ÷ 3 – 83 = ? – 139
   355
   320
   336
   342
   314
   Option C
   56 × 15 ÷ 3 – 83 = ? – 139
   => 280–83 = ? – 139 = 336

    

5. (13)^2 – (4)^3 – √676 + 2 = (?)^2
   88
   90
   74
   62
   81
   Option E
   (13)^2 – (4)^3 – √676 + 2 = (?)
   => (?) = 169 – 64 – 26+2 = 81

    

6. Pawan and Ram started a business by investing Rs. 45,000 and Rs.54,000 respectively. After four months Mohit joined the business with a capital of Rs. 30,000. After two more months Ram left the business with his capital. At the end of the year Pawan got a share of Rs. 13,500 in the profit. What is the total profit earned?
   29900
   27600
   25900
   31200
   20000
   Option B
   Pawan = 45000 × 12
   Ram = 54000 × 6
   Mohit = 30000 × 8
   Ratio of their profit = 45 : 27 : 20
   Total profit earned = 92/45 ×13500 = 27600

    

7. The rate of Simple Interest in PNB & UCO are in the ratio of 4:5. Krishnan wants to deposit his total savings in two banks in such a way that he receives equal half-yearly interest from both banks. In what ratio he should deposit in both banks PNB & UCO.
   3:2
   7:9
   5:4
   5:7
   5:6
   Option C
   R1 =4x
   R2=5x
   T1 = T2 = 1/2 yr.
   [ P1 × 4x × 1]/[ 100 × 2] = [P2 × 5x × 1]/[ 100 × 2] = P1:P2 = 5:4

    

8. There are two pipes A and B can separately fill a cistern in 30 and 20 minutes respectively and a waste pipe B can carry off 11 litres per minute. If all the pipes are opened when the cistern is full, it is emptied in 42 hours. How many litres does the cistern hold?
   111.1 L
   125.6 L
   100.5 L
   131.4 L
   122.5 L
   Option D
   In 42 hour, A can fill the cistern 1/30×60×42
   = 84 times.
   In 42 hour, B can fill the cistern 1/20×60×42 = 126 times.
   In 42 hour, C can empty a cistern having capacity = 84+126+1
   = 211 times
   Required capacity of the cistern
   = (42×60×11)/211
   = 131.4 L

    

9. Two trains having equal lengths, take 10 seconds and 15 seconds respectively to cross a post. If the length of each train is 120 meters, in what time (in seconds) will they cross each other when traveling in opposite direction?
   20 sec.
   18 sec.
   15 sec.
   12 sec.
   10 sec.
   Option D
   Speed of train 1 = 12 m/sec
   Speed of train 2 = 8 m/sec
   In opposite direction, relative speed = 12 + 8 = 20 m/sec
   Distance covered = 120 + 120 = 240 m
   Time = Distance/Speed = 240/20 = 12 sec.

    

10. In a game there are 70 people in which 40 are boys and 30 are girls, out of which 10 people are selected at random. One from the total group, thus selected is selected as a leader at random. What is the probability that the person, chosen as the leader is a boy?
    3/5
    4/7
    7/9
    6/11
    9/13
    Option B
    The total groups contains boys and girls in the ratio
    = 4:3
    Probability of him being a boy = 4/7