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.card_apply_img {
    margin-top: -53px;
}

.home_card_application {
    background: #821519;
    z-index: 999999;
    overflow: visible;
}


this will make the logo.png go on top of the slider image by -53px top

<div class="home_banner">
BANNER IMAGES Slider
</div>


<div class="home_card_application">
   <div class="card_apply_img">
      <img src="logo.png">
   </div>
</div>